YALE UNIVERSITY LIBRARY Friee Five. ShiUing.s, AN ATLAS OF PHYSICAL & HISTORICAL GEOGRAPHY, TO .\CCOMPANT THE Manual of Geographical Science. ENGRAVED BY J. W. L O W R Y, UNDEK THE DIKECTION OP D. T. ANSTED, M.A., F.R.S., PHOFESSOK OF GEOtOGY IN KING'S COLLEGE, LONDON ; AND THE REV. C. G. NICOLAY, F.R.G.S., LIBRARIAN OF KING'S COLLEGE, LONDON. CONTENTS. I. Reference Map : The World on Mercator's projection. II. Meteorological Map of the World. in. Eelief Map of the World, shewing the Elevations of the Earth's Surface. rv. Phytographical Map, shewing the Distribution of Plants in various Parts ofthe World. Vertical Distribution of Plants and Animals. V. Zoological Map, shewing the Distribution of Animals in various Parts ofthe World. Ethnographical Map, shewing the Distribution of the Principal Races of Men. VI. Comparative Chart of Ancient and Modern Geography and Geo graphical Discovery. The World according to Eratosthenes and Strabo. The World according to Herodotus. The World according to Ptolemy. LONDON: JOHN ^'. PARKER AND SON, -WEST STRAND. MANUAL or GEOGEAPHICAL SCIENCE, MATHEMATICAL, PHYSICAL, HISTORICAL, AND DESCRIPTIVE. LONDON: JOHN W. PARKER AND SON, WEST STRAND. MDCCC LIT. LONDON : SAVILL AND EDWARDS, PRINTERS, 4, CHANDOS STREET, rOVF.NT GARDEN. MANUAL OF GEOGRAPHICAL SCIENCE. PART THE FIRST,. CONTAINING MATHEMATICAL GEOGRAPHY, By rev. M. O'BRIEN, M.A., F.R.S. PE0FES8OB OF NATUfiAL PHILOSOPHY AND ASTRONOMY IN KING'S COLLEGE, LONDON. PHYSICAL GEOGRAPHY, Bt D. T. ANSTED, M.A., F.R.S. PROFESSOR OF GEOLOGY IN KlNO's COLLEGE, LONDON. CHARTOGRAPHY, By j. R. JACKSON, F.R.S. LATE SECRETARY OF THE ROYAL GEOGRAPHICAL SOCIETT. THEOEY OF DESCEIPTION AND GEOGEAPHICAL TEEMINOLOGT, * By rev. C. G. NICOLAY, F.R.G.S. LIBRARIAN OF KING'S COLLEGE, LONDON. PREFACE. A T the present time, when so many works on the subject are before the public, a Manual of Geography may seem to require more than ordinary preface; nevertheless, a short one may explain the object of its publication. Hitherto, those intended to be used in education have been rather compendious works of reference, than introductions to the study of a science, and are often overloaded with details, while general principles are omitted. In the present work, an attempt has been made to avoid these evils, and so to classify, arrange, and systematize the information contained in it, that it may be immediately available both to the teacher and to the scholar; and by the omission of all non-essential details, whether political, statistical, or topographical, to confine the attention to the principal subject. How far the attempt has been successful, those must decide for whose benefit it has been made. Although the First Part may appear to be composed of distinct and separate treatises, it is presumed that, on consideration, they will be found to form a consistent whole, — each part being, not withstanding, complete in itself ;— that Professor O'Brien's mode of working astronomical problems by construction, the explanation of VI PREFACE. the form and use of the more simple instruments, and other things not usually found in the mathematical portions of geographical works, will be readily accepted, by the unscientific reader, in the place of the barren outlines of astronomy and paradoxical problems in the use of the globes, which made this science so unpalatable in our youthful days. In the portion devoted to Physical Geography, Professor Ansted's classification of great leading facts may well compensate for the absence of minute details; while in the chapter on Chartography, Colonel Jackson's intimate acquaintance with the various modes adopted to portray the varying features of the surface of the globe, will enable the reader to peruse in a condensed form, information not easily accessible elsewhere; and in those on the Theory of Description and Geographical Terminology, the effort which has been made, on the one hand, to develop a system, and on the other, to pursue inquiries hitherto comparatively neglected, will, it may be hoped, not only facilitate the attainment of knowledge now, but lead to its extension hereafter. The geographical knowledge of the ancients, the principal use of which is to illustrate ancient history, being limited in its extent, and derived from those who were, for the most part, entirely ignorant of geography, in the more enlarged acceptation of the term; " The world as known to the ancients" must of necessity be considered topographically; but the world as known at the present time, will be considered first as a whole, then in its larger divisions and minuter sub-divisions, whether natural or ci^dl. In this, which forms the Second Part of the work, the less essential details have been omitted, as generally accessible in Geographical Gazetteers. Normal figures and sections have been introduced, in the belief that their general adoption, in the study of Geography, will much facilitate the acquirement of accurate knowledge. preface. vu In the Atla.s attached to this work, all the principal facts of Physical Geography will be found compressed within less than ordinary limits, but, it is believed, well defined and without con fusion, and fully sufficient for the purposes of elementary study. The compilers have freely availed themselves of the labours of their predecessors, yet the work has features peculiar to itself; among these may be mentioned the omission of names of places in the maps generally, and confining them to a Reference Map, so that the attention may not be distracted from the more immediate object; a comparative Chart of ancient and modern Geography and geographical discovery, and an attempt to express by reversed shading the vertical contour of the surface of the land, from which, at a glance, a general idea, not only of extent but of elevation, may be obtained. C. G. N. CONTENTS. Mathematical Geography, INTEODUCTION p.l Chapter I. General Statement of the Celestial Motions .... p. 3—19 I. Of the Firmament. II. Of the Circumpolar Motion of the Heavens. III. The Earth's Rotation the Cause of the Apparent Circumpolar Motion of the Heavens. IT. Globular Form of the Earth. T. Proper Motion of the Sun, Moon, and Planets. TI. Proper Motion of the Sun. TII. Proper Motion of the Moon and Planets. Tin. The Complicated Motions of the Planets are Explained by sup posing that they and the Earth move about the Sun as Centre. Chaptee II. The Celestial Sphere & its Circles. The Constellations . p. 19—48 I. Importance of a Knowledge of the Constellations. II . Preliminary Observations respect ing the Celestial Sphere and its Circles. III. Classification of the Stars with respect to Brightness. IV. Of the North Circumpolar Region of the HeaTens. T. Region of the HeaTens along the Vernal Colure. TI. Region of the HeaTens along the Summer Colure. TII. Eegion of the Heavens along the Autumnal Colure. Tin. Region of the Heavens along the Winter Colure. IX. Constellations Visible on the Meridian at different Hours of the Night, and at different Seasons of the Year. X. Signs of the Zodiac. * Chaptee III. Astronomical Terms Exf)lained. Measurement of Time, p. 49 — 58 I. Terms relating to Vertical and Horizon. II. Terms relating to Pole and Equator. III. Of Time, Sideral and Solar. contents. Chapter IV. Method of Solving Astronomical Problems by Construction on Paper .... p. 58—72 I. Instruments necessary. II. Of Spherical Triangles. III. Method of Representing the Dif ferent Parts of a Spherical Triangle on flat paper. IT. Solution of Various Astronomical Problems. Chaptee V. Optical Principles requisite in Astronom'if . . p. 73—89 I. Ofthe Transmission of Light from Luminous Bodies. II. Inflection & Difiraction of Light. III. Reflection & Refraction of Light. IT. Dispersion of Light. T. Passage of Light through Plates, Prisms, and Lenses. Chapter VI. Formation of Images. — Vision. — The Telescoj)e, Microscope, and Micrometer. — The Ver nier . . . . p. 89—108 I. Formation of Images by a Hole or a Lens. II. Of Vision. III. Of the Telescope as a Means of ascertaining Direction. IT. Of the Bye Piece, or Microscope. V. Of the Astronomical Telescope. VI. The Micrometer. TII. The Diagonal Eye Piece. Tin. Of the Astronomical or Reading Microscope. IX. Ofthe Vernier. Chapter VII. The Transit Instrument, p. 109— 123 I. Description ofthe Transit Instru ment. II. Examination and Adjustment of the Transit Instrument. III. Adjustments of the Transit In stmment. IT. Method ofFinding the True Time of Transit of a Star across the Meridian with a Transit Instru ment not exactly in the Meri dian Plane. T. Method of Observing Transits across the Prime Vertical. Chapter VIII. The Geographical Uses of the Transit Instrument , p. 124 — 131 I. Determination of the Position of the Meridian. II. Determination ofthe Latitude. III. Determination of the Longitude. Chaptee IX. The Altitude and Azimuth Instru ment. — Hadley s Se.vtant. — Refraction aud Paralla.i; p. 131—142 I. The Altitude and Azimuth Instru ment. II. Adjustments, and Method of Ob serving with the Altitude and Azimuth Instrument. III. Uses of the Altitude and Azimuth Insti'ument. IT. Hadley 's Sextant. V. Uses of Hadley's Sextant. contents. XI Chartography, p. 143 — 184. Terrestrial Globe. Projection of Maps. Choice of Projections. Different Kinds of Maps. Reduction of Maps. Topographical Maps. Chorographical Maps. Geographical Maps. Construction of Maps from Various Materials. Mapping from the Information of Tra- TeUers. A Correct Map not always a Good One. Scale of Maps. Gtraduation of Maps. ConTersion of Longitudes. Details of Maps. Geographical Orthography. Physical Geography, Part I. — Of the Earth's Surface. Chaptee I. Introduction p. 185—189 § I G-eneral Outline of the Subject. 2 DiTisions of the Subject. 3 Planetary Condition of the Earth. 4 Elemental Conditions of Matter. 5 Mechanical Conditions of Matter, and DiTisions of Science thence resulting. 6 AdTantage arising from the study of Physical Geography. Chapter II. Forms and Modifications of In organic Matter . p. 189—197 § 7 Limits of our Knowledge with regard to the Earth's Structure, and importance of Heat as an Agent of Change. § 8 Forms of Matter. 9 Forces affecting Matter, and effect of Change of Temperature. to Sources and Causes of Heat. 1 1 Chemical Action. 12 Polarity. 13 Material Substances usually in combination at the Earth's Sur face. 14 Elementary Substances. Ig Oxygen Gas, and its important Combinations. 16 Coinbustion. 17 Nitrogen, Hydrogen, and Chlo rine, with their Combinations. 18 Non-Metallic Solid Elements. 19 Metallic Elements the Bases of Earths. 20 Metals. 2 1 Mutual Action of various Forms of Matter. 22 Terrestrial Magnetism. Xll contents. Chapter III. Meteorology ... p. 198 — 215 § 23 Constitution ofthe Atmosphere. 24 Its Chemical Condition. 25 Its chief Importance in Physical Geography. 26 Its Relation to Light generally. 27 Twilight. 28 Mirage. 29 Colour. 30 Atmospheric Meteors exhibiting Colour. 31 The Phenomena of Sound. 32 Motion of the Air — Winds. 33 Land and Sea Breezes. 34 Trade Winds. 35 Monsoons. 36 Hurricanes. 37 Relations of the Atmosphere to Water. 38 Dew. 39 Mists and Fogs. 40 Clouds. 41 Rain. 42 Distribution of Rain. 43 Snow. 44 Glaciers. 45 Hail. 46 Climate, and Distribution of Heat. 47 Conclusions. Chapter IV. On tlie Form aud Distributiou of the Land ... p. 216— 228 § 48 What is meant by 'land.' 49 Distribution of land. go Continents. 51 Islands. 52 Inequalities ofthe surface of limd. 53 Low plains and stcppos. § 54 Deserts. 5S SilTas. 56 Llanos. 57 Pampas. 58 SaTannahs, or prairies. 59 High plains, table lands, or pla teaux of the Old World. 60 Table lands of America. 61 Mountain systems of the earth. 62 General connexion of the moun tains of the Old World. 63 Mountain chains of the New World. 64 Mountains of Australia. Chapter V. Hydrology p. 229 — 248 § 65 General phenomena of the ocean. 66 Action ofthe wind on the ocean. 67 The Tides. 68 The Atlantic Ocean. d^ The Pacific Ocean. 70 The Indian Ocean. 7 1 The Arctic Ocean. 72 Marine currents. 73 Whirlpools — Calms. 74 Inland salt seas — Bays, and Gulls . 75 Springs. 76 EiTcr basins. 77 BiTcr systems of the Atlantic group. 78 Eiver systems of inland seas of the Atlantic. 79 Eivers of the Asiatic syst€m. 80 EiTer systems of the Pacific Ocean. 81 EiTer systems of the Indian Ocean. 8j EiTcrs not communicating with tho Ocean. contents. xm Chapter VI. Atmospheric aud Aqueous Action, p. 249—262 § 83 General Nature of Atmospheric and Aqueous Action. 84 Changes produced by Atmo spheric Action. 8g Changes directly effected by Al terations of Temperature and Exposure to Cold. § 86 Glaciers and Icebergs. 87 Changes produced by the Erod ing Action of MoTing Water. 88 The Transporting and Distribut ing Action of MoTing Water. 89 Changes produced by Water act ing by the Aid of Substances held in Solution. 90 Indirect Effects produced by Water. Part IL — The Structure of the Earth. Chapter VII. The Condition of the Interior of the Earth and the Reaction of the Interior on the Ex ternal Surface p. 263—283 § 91 Means of Obtaining a Knowledge of the Earth's Interior. 92 InternalTemperatureoftheEarth as determinedbyDeep Sinkings. 93 Thermal Springs. 94 Volcanoes. 95 Volcanic Products. 96 Distribution of Volcanoes. 97 Subterranean Connexion of Dis tant Volcanoes. 98 Connexion of Volcanoes with Earthquake Action. 99 Nature of Earthquake MoTe- ments. 100 Frequent Repetition and Wide Eange of Earthquake Action. loi Permanent Change of LctcI ac- companyingEarthquakeAction. 102 Origin of Earthquakes. 103 Partial, butPermanent EleTation, at a Distance from Volcanoes. 104 Depression OTcr Large Areas. Chapter VIII. Structural Phenomena of the Earth indicating Igneous Action . . p. 284—295 § 105 Nature of Igneous Eocks in ge neral 106 Extinct Volcanic Regions. 107 Ancient LaTa Currents, and other Products of Extinct Volcanoes. 108 Other Igneous Eocks not Vol canic. 109 Metamorphism. no Dykes and Miaeral Veins. Chapter IX. Structural Phenomena connected with Aqueous Action, p. 296—317 § III Stratification. 112 Mechanical Disturbances of Beds. 1 13 Order of Superposition of Euro pean Strata, 114 Lower Palfeozoic Eocks. 115 Middle PalEcozoic Eocks. n6 Carboniferous System. XIV § 117 Magnesian Limestone, or Per mian System. 1 18 Upper New Eed Sandstone, or Triassic System. 119 Liassic Group. 120 Oolitic System. 121 Wealden Group. 122 Cretaceous System. CONTENTS. § 123 OlderTertiaryEocksofEngland, France, and Belgium. 124 Middle and Newer Tertiary Formations of Europe. 125 Tertiary Deposits of Asia and America. 126 Newest Deposits of Gravel and DUuTium. Part IIL — Organization. Chapter X. The Distribution of Vegetables iu Space . . p. 318—338 § 127 The Meaning and Nature of Or ganization, and especiaUy of Vegetable Life. 128 Natural Arrangement and Clas sification of Plants. 129 Influence of Climate on Vege tation. 130 Influence of Soil on Vegetation. 131 General Eange of Plants in Ta- rious Countries at moderate EleTation s. 132 The Botanical Eegions. 133 Distribution of Plants iu Ver tical Space. 134 Range of CultiTated Plants. 135 General Considerations of the Distribution of Plants in dis tant Botanical Centres. Chapter XI. The Distributiou of Animals in Space . p. 339-371 § T36 Organization of Animals. 137 Classification of Animals. 138 Statistics of Animals. § 139 140 141 142 143144 145 146 147 148149150 151 1531.54155 Nature and Degrees of resem blance amongst Animals, and Comparison of their Structure. Natural grouping of Animals in a Fauna. Distribution of the Faunas. Arctic Fauna. Temperate Faunas. Tropical Faunas. Special Distribution of Q,uadru- 7nana. Distribution of Carnivora. Distribution of Sodentia. Distribution of Suminantia. Distribution of Paehydermatu. Distribution of the Edentata and Mhrsapialia. Distribution of Birds. Distribution of Reptiles. Distribution of the Marine Ter- tehrata. Distribution of the Articulata. Distribution of the Mollusca and Sadiata. Chapter XII. Distribution of Organic Beings iu Time . . p. 372—337 § 156 Nature of Organic Remains, and Proof of the Existence CONTENTS. XV in the Earth's Crust of Frag ments of Plants and Animals belonging to Species now extinct. §157 Distribution of extinct Mam malia in time. 158 Distribution of extinct Birds. 159 Distribution of extinct Eeptiles. 160 Distribution of extinct Fishes. 161 Distribution of extinct Mollusca. 162 Distribution of extinct Articu lata. 163 Distribution of extinct Eadiata. 164 Distribution of extinct Plants. Chapter XIII. Ethnology ... p. 388—413 § 165 General Nature and Meaning of the Science of Ethnology. 166 On Specific Character. 167 Divisions and Mode of Treat ment of the Subject. 168 External Structural Peculiarities of the Human Eace. 169 IntemalStructuralPeculiarities. 170 Principal Varieties of theHuman Race, and their Arrangement into distinct Groups. 1 7 1 Natural Geographical Limits of Distribution. 172 Language. 173 ModiflcationoftheEacesofMan. 174 Mixture of Eaces. 175 Influence of Man on other Animals. 1 76 Influence of Man on Inorganic Nature and on the Vegetable Kingdom. 177 Effect of Inorganic Nature on Man. 178 Statistics ofthe Human Eace. 179 General Conclusion. Theory of Description and Geographical Terminology, Chapter I. p. 414—433. I Nature and DiTisions of the Subject. 2 Of PositiTe Position. 3 Of EelatiTe Position. 4 Of Land and Water in Extent. 5 Of Land in EleTation. 6 Of Water not in Motion. 7 Of Water in Motion. 8 Of the Natural Productions of the Surface of the Earth. Chapter II. p. 433—445. I Of Political Geography. 2 Of Historical Antecedents. 3 Of the Distribution of the Human Race. 4 Of Geographical Statistics. 5 Of the Order to be obserTed. 6 OftheCiTU DiTisions of the World. 7 Ofthe Civil DiTisions of Countries. 8 Of Eeligious DiTisions. 9 Of the Dominant Religion. XVI CONTENTS. IO Of Eeligious Sects. 1 1 Of Eeligious Statistics. 12 Of the Industrial Geography of Countries. 13 Of Industrial DiTisions. 14 Of Occupation. 15 Of the Pastoral. 16 Of the Agricultural. 1 7 Of the Manufacturing. 18 Of the Commercial. MATHEMATICAL GEOGRAPHY. INTRODUCTION. THE importance of Astronomical and Optical knowledge to the practical Geographer is so obvious, that it will not be necessary to say anything on the subject here ; and we shall therefore, without further preface, proceed to state briefly the nature and extent of the information which we propose to give the reader on the subjects of Astronomy and Optics. In the first place, then, we must observe, that the space allotted to Astronomy in the present Geographical Treatise is, of necessity, very limited, and therefore we must follow one of two courses in treating of the subject; we must either give a general outline of the whole science, without entering into particulars, or we must select some portion of it of special importance to the Geographer, and develop that at some length, so as to make it practically useful. We prefer taking the latter course, for two reasons : First, because the space to which we are restricted would only allow us to give a very un satisfactory outline of Astronomy in general; and, secondly, because, though the greater part of Astronomy has some bearing, directly or in directly, on Geography, there is one topic of paramount importance — namely, the means which Astronomy affords of determining position on the ewrtKs sm-face; the great practical problem which the Geographer has to solve by means of his Astronomical information being — to determine the relative positions of the various places he may happen to visit. We shall therefore devote the space here allowed us to the explanation of Astronomical Principles, so far as they have immediate reference to this important problem, and no farther. We shall suppose that the reader is a traveller who is anxious to know just enough of Astronomy to enable him to determine the Meridia/n, the Latitude, and the Longitude of any place, and that he has little or no acquaintance with the technicalities of mathe matics. We shall, with this view, explain generally the apparent motions of the heavenly bodies, dwelling but little upon the real motions. We shall describe at some length the positions and appearances of the different groups of stars or constellations, this being a most essential part of the subject practically. As regards Optical science, we shall explain as much as is necessary, in order to understand the construction and use of the Astronomical Telescope, as employed to determine direction, and of the Astronomical Microscope, as employed to subdivide space; we shall show how the Portable Transit Telescope is to be adjusted, and how it may be made use of in determining everything the Geographer requires to know. We shall not have space to say much respecting other Astro nomical instraments ; but this will not signify, as the Transit instrument is capable of being used with the greatest advantage for every purpose B 2 INTRODUCTION. the Geographer has in view, ahd requires, on his part, no knowledge oi what are called the Astronomical corrections. It is on this account that we shall dwell more on the Transit Telescope, and say but little respecting other instruments. The following is a brief outline of the subject, as we shall here treat of it :— Chapter I. contains a preliminary statement of the more obvious celestial phenomena^— The Fixity and Permanency of the Stars and Con stellations—The Circumpolar Rotation — The Proper Motions of the Sun, Moon, and Planets. Chapter II. — The Celestial Sphere and its Circles. The Constella tions described, in order that the reader may make himself familiar with the localities and appearances of the principal stars. In this and the previous chapter we have thought it advisable to introduce a certain amount of information respecting the numerous allusions in ancient writers to the celestial phenomena, and especially the constellations ; for a dry description of the stars, without something of this kind, would be scarcely readable, and our object, of course, must be to make the subject not only useful, but, as far as we can, interesting also. Chapter III. — Astronomical Terms explained — Measures of Time. Chapter IV. — A Method of solving Astronomical Problems by Geo metrical Construction with Rule and Compass. This method consists of the Dissection, if we may so speak, of a solid angle or spherical triangle, so as to represent its six parts on flat paper by construction. All pro blems usually given in what is called the ' use of the globe-s,' may be solved by this method with considerable accuracy. It has also the advantage of requiring no mathematical knowledge on the part of the reader; at the same time it leads very simply to all the mathematical formulse used in Astronomy. Chapters V. & VI. — The Telescope and Microscope, as used in Astro nomy, with the optical principles upon which their constraction depends, explained. The Micrometer and Vernier. In Chapter V. some account is given of the optical phenomena which have immediate connexion with Astronomy, such as reflection, refraction, stellar aberration. Chapter VII. — The Transit instrument, its adjustments, and the method of observing with it. Chapter VIIL— The Geographical Uses of the Transit instrument. Chapter IX.— Hadley's Sextant, Altitude Instrument. In Chapters V. & VI. we have introduced a little more optical matter than is usual in a treatise on Geography; because our object is, not to write a formal treatise on Astronomy, but to give such information to a person, ignorant of Astronomy and Optics, as will enable him to under stand the instruments and principles by which the relative positions of places on the earth's surface are determined. CHAPTER I. GENEEAL STATEMENT OF THE CELESTIAL MOTIONS. I. Of the Firmament. THE first fact that is noticed by any one watching the heaTens at night is, perhaps, the fixity and permanency of the different groups of stars (or constellations as they are called), notwithstanding the gradual change of position which they all appear to undergo from hour to hour during the night. These constellations always exhibit the same form and appearance, though they are ever on the move. For instance, if the obserTer fix his attention upon the seTen weU-known stars, commonly caUed the Wain, the Plough, or the Great Bear, he wiU perceiTC that they always preserve the r • I* I -I'lg- <•¦ • I • I • I Fig. rf II Fig. 6 • 1I * I • Fig. a ] • • •! ' same distances from each other, though the whole group is continuaUy changing its position in the heaTens. If he joins each of these stars with its neighbour by drawing imaginary lines, the figure he so forms wiU be always the same, though he wUl sometimes see it as is represented in fig. a, some times as in flg. h, sometimes as in fig. c, and sometimes as in fig. d. 2 If he continues to watch this or any other of the consteUations for years, he wUl ncTcr perceive any change of form ; and we may extend this statement to many centuries of past time, for we have evidence, from astro nomical records, and the aUusions of ancient writers, that the arrangement and grouping of the stars on the celestial Tault has CTer been the same, with a few remarkable exceptions hereafter to be noticed. b2 4 MATHEMATICAL GEOGRAPHY. o In ancient times, before calendars were known, the rising and setting ofthe consteUations were the chief gmdes of the ^J^^P^^rd, anj the tiUer of the ground, in determining the progress of the seasons, andthos made men in etneral much more famfliar with tie appearances of the stars than they are Low We therefore find continual mention of the consteUations in the works oflntiquity, and especially in the poets. To giye a few examples we find the foWng lines In Eesiod, Opera et IHes. which we shall quote atlength, on account of their astronomical interest:— !,„„„„„„ ' But when Orion and Sirius have come mto the middle ofthe heavens, and the rosy-fingered Aurora has beheld Arcturus, then O Perses, gather aU the^^apes^jme^^ length the Pleiades and the Hyades and the mighty Orion have set, then be mindful of ploughing in time.'t . ' But if the desire of dangerous navigation has taken possession ot you, when the Pleiades, flying the fierce strength of Onon, haTe atlength set mthe dark sea, then surely storms of wind wilTblow on eTery side .'J Another remarkable passage is found at the begmning of the Second Book, Une 381 :— „ . , , • .^ i. x ' At the rising of the Pleiades the daughters of Atlas, begm to reap, but when they set, to plough. These stars become iuTisible for forty days and nights ; but they appear again, as the year roUs round, when first the scythe 4 The Fasti of Ovid, which is a poetical calendar, aUudes to almost aU the consteUations of the heavens, makmg use of their risings and settings as marks and signs, not only of the four great divisions of the year, the seasons, but also of months and subdivisions of months. In fact, there is scarcely a week which is not marked in the Fasti by some particular astronomical note. Thus, in the month of May, we have, among several others, the foUowing allusions to consteUations : — VI No. (2na of May.) I Pars Hyadom toto de gregc nulla latet. Ora micant Tauri septem radiantia flammis, Navita quas Hyadas Graius al) imbre vocat. V No. (3rd of May.) Nocte minus quarta promet sua sidera Chiron Semivir. II No. (eth of May.) Scorpius in coelo, cum eras lucescere Nonas Dicimus, a media parte notandus erit. 5 We have stUl remaining a formal account of aU the consteUations, in a philosophical poem, formerly held in great repute, caUed the Pheenomena of Aratus, the same quoted by St. Paul in his address to the Athenians. This poem was founded upon a description of the celestial sphere by Eudoxus, a work of much celebrity in ancient times, and probably compUed ftwm earlier astronomical writers. The description of the constellations by Aratus is not very accurate, owing, not only to the imperfections of the work from which he drew his niaterialB, but also probably from the fact that he either over looked, or very imperfectly aUowed for, the changes in the rising and setting of the consteUations caused by a change in the observer's latitude. This poem was comcmented upon by many celebrated astronomers, and among the nid. (14th of May.) Pleiadas adspicias omnes, totumqne sororum Agmen ; nbi ante Idus nox erit una super Tum mihi non dubiis auctoribus incipit lestas ; Et tepidi finem tempora veris habent. VI Kal. (27th of May.) Auferat ex oculis veniens Aurora Booten : Continuaque die Sidus Hyantis erit. ' EvT ay y ^ilpiiav Kai Tejpior if MtVov gXtfj; oypayov, 'ApKToCpow d' eaidrt pododdxTi/Xor 'Htir, cJ n^ptrri. Tire ndvTat (!i7rodpe7re oiKade ySoTpvc. HXriia'der 0''Y«3ec t« t«S t« aQivo^-ilpmvot dvvuatv, t6t' ^ttcit' upoTov fxenvnfiivot elvai &paiov. i Et i^ ae vauTtXi'nt fiviTvetitp^\ov 7/iepor aipflT, et'T* ov nXn'«d«f ffC^vof S^ptfxov -Qpiaii/ov ^ev-jovaat vinToitrtv h hcpoeid^a novrov, 6i] TOTe navTOiiav ULV^fiunt Ovova.v ikitTai. § n\)|t(^dt.)v -AT\a-teveei>v ivtTe\\ofieva' u>i»;tou" iipoToto ii dtxrujuevduv. al 6' firoi vvKTar T« Kai ^/ioTa recirapaKovra KCKfiviparat, airip ii irepinXofxivov ^MauTOl/ 0aivovTal Tii irpSra xa/xxraofiiroio (rti/ipov. THE CELESTIAL MOTIONS. 5 rest, by Erastosthenes and Hipparchus. It was partiaUy translated into Latin by Cicero, when a Tery young man, and this translation is stiU extant. Eudoxus died about 370 B.C. This work, though rough and imperfect, is a Taluable relic of the ancient Greek astronomy. 6 But it is to Ptolemy, the Alexandrian astronomer and geographer, that we are indebted for nearly aU the accurate information we possess re specting the state of astronomy before the Christian era. He was himself an obserTer, and, considering the imperfection of his instrumental means, his optical measurements deserve great praise. But the great service he did to astronomy was by compiling with accuracy the obserTations of preTious astronomers, and especiaUy of Hipparchus. In the 7th and Sth Books ofhis cele brated work, th.Q Meg ale Syntaxis — or, aa itwas eaU^eAhj the Axaha, Almagest — ¦ we haTe the apparent places of the stars on the celestial sphere accurately put down from his own observations, compared with those of the great astronomer, Hipparchus. The catalogue of the stars by Hipparchus, who flourished about 150 years B.C., is lost, but its substance is preserved in Ptolemy's Syntaxis. Ptolemy flourished about a.d. 130. The Chaldeans made great advances in astronomy in early times, and Ptolemy often quotes their observations, though none earher than B.c. 720. 7 From aU these numerous sources of information as to the appearance of the heaTens in early times, we derive ample evidence that the various groups of stars which we now see in the heavens have always exhibited the same appearances and configurations, that they occupy the same relative positions now as in olden time, and that no changes have taken place in the general arrangement of the stars, at least none but minute changes, which are not sensible to the eye unaided by instruments. Minute changes have - indeed occurred in the places of the stars, but it requires the most perfect and dehcate instruments to perceive them. 8 It is, in a great measure, this permanency and fixity of the stars in the heavens that renders astronomy of such importance in practice. When astronomers have once made accurate observations on any particular star, and entered its position in their catalogues, there it remains for centuries, an un changeable mark in the heavens, for the use of future observers — a mark both of time and place, by which the sailor can guide his ship with perfect safety over the ocean, and. the geographer construct his maps aud charts with unerring fidehty. A star thus determined is a celestial time-piece, that knows no error or variation, not only marking minutes and hours, but years and centuries ; serving, at the same time, to regulate a watch, and to guide the chronologer through the darkness of past ages. 9 It is not surprising that the fixity and permanency of the consteUations should have led men to form the opinion that the expanse in which the stars appear to be placed is no empty space, but a vault of durable and firm struc ture. Hence the meaning of the Latin -woTd, firmamentu7n, which has passed into our own language as firmament ; and of the Greek word, a-Tepea/ia, stereoma, which is derived from a-Tepcas, firmus, or firm. Stereoma is the word in the Septuagint which is translated firmament in our version of the book of Genesis. The corresponding Hebrew word, however, contains no aUusion to any firmness, but simply signifies space, or expansion. The word star (coming, as it does, from aariip) is not derived from the same root as stereoma, but from the negative, signifying unsteady, no doubt in aUusion to the twinkling hght of the stars. lo The opinions of ancient phUosophers as to the nature of the stars were very Tarious. {See Plutarch's Moralia de Placitis Philosophorurri, hb. II.) Many supposed them to be nothing but bright ornaments,^ or, as it were, naUs fixed in the crystaUine sphere, or firmament. [ifKav SUriv koto- ¦neirrf/evai t& Kpoa-TaWoeiSei.) Anaxagoras said that they were stones flung up from the earth, and kindled by the rapid whirling motion of the aether, (tJ S' evTOvta t^s wepiSivria-eas avapwaCovra werpos in TrjS -^s, Kal KaraipXe^avra Tovros rjorepiKevai.) Herachdes and the Pythagoreans said that each star was 6 MATHEMATICAL GEOGRAPHY. a worid, lUte the earth ; and the same view was held by the foUowers of Orpheus. A great variety of opinions prevaUed respecting the nature, dis tance, and magnitude of the heaTenly bodies, most of which are stated in the work of Plutarch already referred to. IL Crf the Ci/rcwmpola/r Motion of the Heavens. 1 1 At the same tune that an ordinary observer notices the permanency of form and relative position of the various groups of stars, he perceives that eTery star is moving slowly and steadUy ; an hour is sufficient to convince him of this. Let him fix his eye on any particular star — say, for instance, one of the seven, in the Great Bear — and let him mark its position with reference to some terrestrial object, (not too near him,) such, for instance, as the top of a tree or chimney, or the ridge of a roof, and he wUl soon perceiTe that the star does not continue in the same place. A look at the Great Bear at fiTe or six o'clock of a winter's eTening, and again at elcTen or twelTe o'clock, wUl show the motion of the heaTens in a striking manner ; at the fitrst time it wUl be seen in the position represented by fig. a; at the second time, in that repre sented by fig. b. At five or six in the moming the figure wUl be inverted, as in fig. e. At 12 o'clock in the day, if the stars were seen, (as they can be through a telescope,) they would appear as in fig. d. At the same hour in the eTening, the stars will come agam into the same position. 12 With a little care, three facts may be noticed respecting the motion of the heaTenly bodies : — First, That they all describe paraUel circles about one point of the heavens, caUed the North Pole, (supposing the observer to be in the northem hemisphere of the earth.) Secondly, That they all com plete their motion in the same time, coming back to the same positions every twenty-four hours. Thirdly, That this circular motion is perfectly uniform, each circle — i. e., each 360°, being described at the rate of 15° per hour, or 1° ia eTery four minutes of time. 13 To observe the truth of these facts, some simple instrument will be necessary, as, for instance, a little telescope mounted in the foUowing way: — E D (fig. e) is the telescope, the , eye-hole being at D; C is a joint to which the telescope is fixed ; B C, a short hollow cyhnder, or tube, to the extremity of which the telescope is jointed by the joint C. By means ofthis joint we may set the telescope at different angles to the tube B C. The two holes in the joint are for the purpose of tightening or loosen ing it, as may be necessary. The tube B C fits on a piece shown in fig./ round which it may be moTed; and it is secured by little screws B B. The piece on which the tube fits is jointed at A to the upright stem G A, by a joint similar to that at C ; and the stem has a heaTv base, G, so that it may stand steadUy upon a table. 14 Supposmg A P to be the direction of^ the axis about which the tube B C (carrying the telescope with it) may be turned, and D S the direction in which the telescope looks, then by making the line AP point to the Rg.e r / ./ ./p THE CELESTIATi MOTIONS. pole, and the Une D S to any particular star, it wUl be found, that by turning the tube B C round, without altering the in clination of the line D S to the line A P, we may always make the telescope point to the star. This evidently shows that the line D S, drawn in the direction of the star, always makes the same angle with the line A P drawn in the direction ofthe pole — i. e., that the star always preserves the same distance from the pole, and therefore that it describes a circle about the pole; and this being true, as wUl be found, for all the stars, it foUows that they aU describe pa raUel circles about the pole. 15 By pointing the telescope towards a star, leaving it in that position for twenty- four hours, and then looking again through it, it wiU be found that the star comes back to its original position in twenty- four hours. 16 This wUl be found true at aU hours, and therefore it foUows that the motion of the star is uniform — i. e., that it always moves at the same rate. 17 To use this instrument as above described, the position of the Pole in the heavens must be known in order to direct the line A P towards it. The method of finding the Pole by means ofa star which is near it, caUed tho Pole Star, wiU be explained in the next chapter. The Pole is about a degree and a half from the Pole Star. We shall show in the next chapter how the instrument is to be set, by means of the Pole Star aiid certain other stars of the consteUation called the Little Bear, so that the line A P may point to the Pole — at least, sufficiently near the Pole for our purpose. 18 This instrument need not be made very accurately, as it is not capable of being used with any great nicety, but only in a rough way, to obserTe the general motions of the heaTenly bodies, such as the diurnal rotation of tho Stars, the annual motion of the Sun, the motions of the Moon and Planets. If a better instrument cannot be procured, such an instrument as this wUl be found very useful to the beginner, as the observation of celestial phenomena, CTen in a rough way, is not only highly interesting, but Tery instructiTe as far as regards practical astronomy. 19 Two graduated circles, whioh may be made of pasteboard or paper pasted on wood, ought to be added to the instrument as above deseribed — one at C, to measure the angle which the line S D makes with the line P A, and the other at B, to measure the number of degrees through which we tum the tube B C about the polar axis A P. It wiU be sufficient to have these circles graduated to degrees, as they could not be expected to give smaUer measures with any degree of accuracy. 20 Instead of the telescope, a rod with a pair of ordinary sights may be substituted, as is shown m fig. a, M and N being the sights. The sight M which is supposed to be next the eye, is a smaU fiat piece of brass with a hole in it, as is shown in fig. i. The other sight is a simUar piece of brass, only 8 MATHEMATICAL GEOGRAPHY. it has two pieces of thin wire drawn across the hole at right angles, as is shown in fig. li, in order to mark the centre ofthe hole. The eye being placed near M, sees these cross wires, and it should look in such a manner as to make the wires appear to divide the hole M into four equal parts — ^i. e., the point where the wires cross each other, or as it is called, the centre of the cross wires, should appear to coincide with the centre of the hole M. When this is done, any object, such as a star, which is seen at the centre of the cross wires, is in the direction in which the sights point — i. e., tiie line joining the centre of the hole M, and the centre of the cross wires points to 21 The Une joining the centre of the hole M, and the centre of the cross wires, is called the line of Direction of the Sights, and more frequently, the Line of Collimation. CoUimation is derived from the Latin word collineo, or eollimo, (from con and lineo,) which signifies, to direct one thing in a straight line towards another — i. e., to aim at. This is a hne of great importance in astronomy, and we shaU speak more of it presently. 22 The telescope (if the instrument haTe a telescope instead of sights) should be fumished with cross wires in the focus, to mark its line of direction or collimation. The magnifying power of the telescope may be Tery small. A single object-glass of three or four inches focus, and a single eye-glass of one or two inches focus, wUl form a sufficiently good telescope. With an instrument of this kind, any person may satisfy himself respecting the uniform circumpolar motion of the heavenly bodies : first of aU, that each heavenly body always keeps at the same distance from the pole, or, in other words, that it describes a circle about the pole ; secondly, that it com pletes this circular motion in twenty-four hours ; thirdly, that it always moves at the same rate, namely, 15° per hour, or 1° in four minutes. 23 To prove these facts with accuracy, it is necessary to employ much more perfect and deUcate instruments than the above. Astronomers employ what IS caUed a Transit instrument, which we shaU presentiy describe at some length, to observe the time at which each heavenly body comes on a particular line called the Meridian, and for this purpose it is necessary to nave a first-rate clock to subdivide time with accuracy to a fraction of a second. To determine how far any heavenly body is "from the pole, astro nomers use another instrument, caUed a Mural Circle, or an Altitude Instru ment. Both these instruments are extremely simple as regards their motions, and are capable of wonderful accuracy when weU made. A third instrument, caUed an Fquatorial, is made use of for measuring smaU spaces and distances in the heavens. These three instruments, fixed in a convenient buUding, together with the clock, and some minor instruments, make an Astronomical Observatory. The rude instrument above described may be made to repre sent any one of these three great, or, as they are caUed, capital astronomical instruments. If the line A P be made vertical, and the tube B C fixed in such a position that the Une D S may be in what is caUed the meridian plane — i. e., in the vertical plane which contains the pole, then the instrument represents a Transit telescope. If, in addition to placing the instrument thus, a gra duated circle be fixed at C, to measure the inclination of the Une D S to the line A P, it represents a Mm-al Circle. If A P be fixed so as to pomt to the pole, as originaUy supposed, then the instrument represents an Equatorial. III. The Earth's Rotation the Cause ofthe Apparent Circtmpolar Motion, ofthe Heavens. 24 The ch-oumpolar motion of the heavenlv bodies may be eitiier an actual and real motion, or it may be only apparent," being caused bv an onnosite motion of the spectator. If we^ suppose tfie Ea;tii to^e a rou7d body a^i? may be proved to be by observation and mcasMement, and to revolve from west to east once m twenty-fom- hours, about an axis passing through the tX poles, this wdl sufficientiy account for the apparent motion of thi heavenly THE CELESTIAL MOTIONS. 9 bodies from east to west about the pole ; for a motion of the earth round its axis from west to east would evidentiy make the stars appear, to any obserrer on the Earth's surface, to move about the same axis in the contrary direction, from west to east. The natural impression, on perceiving the circumpolar motion of the heaTens, is, of course, that it is a real motion ; and this was the opinion oi mankind, with a few exceptions, for many ages. The inquisition compeUed GalUeo to abjure the Copernican doctrine, (which taught both the annual motion of the Earth about the Sun and its diurnal motion about its axis,) and decreed, ' that the proposition, that the Earth is not the centre of the world, nor immoTeable, but that it moTes, and also with a diurnal motion, is_ absurd, phUosophicaUy false, and theologicaUy at least erroneous in faith.'' The story that G^ilUeo, on rising from his knees after the abjuration, whispered, ' E pur se muoTe' — ' It moves nevertheless' — ^is weU known. 25 The doctrine, that the Earth was the immoveable centre of the universe, whieh was the basis of the Ptolemaic system, was universaUy received until the time of Copernicus, who published his celebrated work, De Revolutionihus Orbium Coelestium, in 1543, in which he refutes, but in a cautious and hypothetical manner, the complex system of Ptolemy, which taught that the stars were carried round the Earth daUy by an enormous crystaUine sphere, and that the motions of the Sun, Moon, and planets, were produced in the same manner. Considering the enormous distances and magnitudes ofthe heavenly bodies, and the unnatural machinery of cycles and epicycles by which the planetary motions were accounted for, Copernicus felt that some other hypothesis respecting the celestial revolutions was necessary to satisfy his mind. He found that some ancient phUosophers had taught the motion of the Earth about ita axis and its annual motion about the Sun. CarefuUy and cautiously considering these views, he at length came to the conclusion that the Sun is the centre of the universe, and that the Earth revolves not only about the Sun, but also about its own axis, whereby the apparent diurnal motion of the stars is produced. These views he published in the work above aUuded to, which was dedicated to the pope, Pauilll. After the time of Gahleo, the Copernican system prevaUed, and the Ptolemaic was neglected, though the works of both astronomers were stiU condemned as heretical by the Eomish church. Mr, Drinkwater, in the Library of Useful Knowledge, states, that both were in the Index Expurgatorms for 1828, with the words 'Nisi corrigatur.' But on this point see LyeU's Geology, p. 58 (7th ed.) 26 The proof of the Earth's rotation about its axis la, m a great measure, derived from the fact that it simply, naturally, and reasonably accounts for the apparent diurnal motion of the heavens, which the Ptolemaic system does not. In addition to this, the pecuUar figure of the Earth, which is found to be nearly spherical, but somewhat flattened at the poles and protuberant at the equator, indicates the existence of a centrinigal force, caused by rotation about an axis. Experiments onpendulums afford clear evidence of the existence of this centrifugal force. Experiments on falling bodies, which must be considered accurate and satisfactory, have been made, and it appears from them that a body let faU from a considerable Height always falls a little to the east of the vertical ; this can only be accounted for by the Earth's rotation. Observation shows that the Sun, Moon, and planets, revolve from west to east about their axes, and it is not unreasonable to conclude that the Earth is not an exception to what appears to be the rule of the planetary motions. 27 There is another proof that the Earth is not fixed, of the most con vincing kind, derived from the phenomenon of the aberration of Ught, of which we shaU presently speak. By this curious displacement, the Earth's motion is made visible in every star, as it were in miniature, each star describing an apparent orbit, similar to the motion of the Earth. Thia, however, apphes to the motion of the Earth about the Sun. 28 One other consideration tends to confirm the truth of the opinion that the Earth revolves about ita axis. It is this, that a most important end is 10 MATHEMATICAL GEOGRAPHY. gained by the Earth's rotation— namely, the axis is thereby kept steady in one position. But for its rotation, the Earth's axis would be contmuaUy changing from one direction to another, and the effect of this would be extra ordinary vicissitudes of seasons ; we should be at one time in the polar regions — at another, m the tropics, subject to rapid and irregular changesof cUmate, and to violent disturbances of the atmosphere and the ocean. The example of a common spinning-top or hoop is sufficient to show the effect of rotation in keeping a body in one position. It would be a practical inipossi- bUity to balance a top by placing it with its point on the grotmd, without having first communicated to it a motion of rotation ; but once make it spin rapidly about its axis, and it wiU stand steadUy on its point— so steadUy that it wiU require a considerable blow to upset it. The same thing is trae of trundling a hoop ; the rotation communicated to it keeps it so steady that the pressure of the stick upon it sideways does not upset it, but merely causes it to tum shghtly out of its course. 29 It is, then, by a rapid motion of rotation that the 'round world is made so fast that it cannot be moved,' not absolutely fixed, it is true, but fixed with its axis in one position, by which means the changes from night to day, and from aeason to season, become uniform and regular. And no doubt the same important end is gained by the rotation of the Sun, and Moon, and planets, each about its axis, and by the revolutions of the planets about the Sun. It is by a wonderful combmation of motion and attraction that the solar system is preserved imchanged, and each planet kept at its proper distance from the Sun. And the rotations and proper motions of the stars, now so clearly made out by astronomers, indicate that the same system per vades the uniTerse. It is, most probably, by their motions and attractions that the stars are preserved, each in its place. Without that perpetual revo lution and rotation, and that bond of attraction which unites the remotest systems, the whole uniTerse, as far as we may presume to judge, would drift in confusion in the boundless ocean of space, and become a formless chaos. IV. Globular Form ofthe Earth. 30 It is not necessary to say much on this point here ; that the Earth is a globe may be, and has been, continuaUy proved by actual observation and measurement. The most commonplace observation is sufficient to make the fact evident. In every part of the ocean, the horizon is visibly cir cular, this proves that the ocean, which covers a considerable portion of the Earth's surface, is globular. The same is true of the great inland lakes which are found in various parts of the world. The appearance of a ship approaching land — the masts first becoming Tisible, and then the huU, is a famihar proof ot the Earth's rotundity. So also is the circular shadow of the Earth, cast by the Sun on the Moon, in an eoUpse. The circumnavigation of the Earth, which is no imcommon occurrence, may also be adduced. The best proof is actual measurement ; but we could not say anything satisfactory on this point without introducing mathematical technicalities. V. Proper Motion ofthe Sun, Moon, and Planets. 31 We have stated above, that, «!i>^ta,ice of tiie smaU cfrcle 84 The fraction which O' B' is of O B, is caUed in trisonometrv tii of OB, thei are-calculated,>/which7he7inel~ora;cs"of™m4'nl'uTe'^f^^^^^^ m|5^S^^S-^^--K^fi;S^^n^Si»I^ cir^dSeltS^-r^-/^^S-'--rdS^°S^^S THE CONSTELLATIONS. 25 centre. Hence we have the foUowing rule for finding what fraction the former cfrcle is of the latter. To find what fraction the circumference of a smaU cfrcle of the sphere is of a great circle, look in a table of sines foivthe sine of the polar distance of the smaU cfrcle, and that wUl be the fraction requfred. If the length of the great circle be given, that of the smaU cfrcle is found by multiplying the length of the great cfrcle by the proper fraction — i. e. by the sine of the polar distance of the smaU cfrcle. 86 The foUowing short table shows the sines of cfrciUar arcs for every five degrees, from 0° to 90° : — Circular Arc 0 5° 10° 15° 20° Sine. Circular Arc. 25° 30°35°40°45° Sine Circular Arc. 50°55° 60°65°70° Sine Circular Arc. 75° 80°85°90° Sine. 87 If we suppose the smaU circle, like the large cfrcle, to be divided into 360°, a degree of the smaU circle wUl be the same fraction of a degree of the large cfrcle that the whole cfrcumference ot the small cfrcle is of the whole cfrcumference of the great cfrcle. Hence the length of a degree of a small cfrcle is to be fovmd by multiplying the length of a degree of a great cfrcle hy the sine of the polar distance of the smaU circle. Thus, if we suppose a smaU cfrcle described on the Earth's surface at 40° from the north pole (which is the polar distance of the southern extremity of England), the circumference of that cfrcle vriU be (the sine of 40° being feoq) ¦f^ of the whole length of the equator ; and the length of a degree of this small cfrcle wUl be got by multiplying 69^ nUles (the length of a degree of the equator in round numbers) by ^'oljo- Having dwelt sufficiently on these points, we shaU now go on to describe the appearance and arrangement of the stars on the celestial sphere. III. Classification ofthe Sta/rs with re-'vect to Brightness. 88 The apparent brightness of the stars is very different ; some shine with consideraole brilUancy, some are leaa bright, others almost invisible to the naked eye, and multitudes to be seen only by the aid of the telescope. As the apparent brightnesa of a star is, to a certain extent, a distinguiahmg mark of it, it is important to have some classification of the stars with respect tothe quantity oflight they emit to the eye. . 89 Stars visible to the naked eye are divided into six classes ; those of the m-at class are the brightest, and are about twenty in number : they are caUed stars of the^ra* magmtude. The second class includes about seventy stars which, though clear and bright, are not so remarkable as those m the first olasa ; they are called stars of the second magnitude. The third class consists of about 220 stars, fainter, ot course, than the former, but stUl very obvious to the eye ; these are said to be ofthe third magnitude. There are ahout 500 atars of the fourth magnitude, 690 of th.e fifth, and 1500 of the sixth. The stars of the fifth and sixth magnitude are not visible on a clear moon- hght night to the naked eye, and therefore on auch a night thoae of the fourth magnitude wUl be the faintest visible without telescopic aid. Altogether, there are, in round numbers, about three thousand stars that are visible to the naked eye. 26 MATHEMATICAL GEOGRAPHY. 90 Stars which can be aeen only through a telescope are caUed telescopic stars. They are spread over the whole expanse of heaven, in some places close together, as in the MUky Way, in other places far apart. Where they are close together, they are seen by the naked eye like cloudy spots or streaks in the heavens, which, when examined by a powerful teleacope, completely change thefr appearance, and become assemblages of innumer able bright points oflight sprinkled, as it were, over a dark ground. The MUky Way, which appears Uke a famt, narrow cloud of irregular shape encirchng the whole celestial sphere, is weU known. Besides this, there are a number of small cloudy spots of various shapes caUed Nebulae seen by means of a tele scope of moderate power, many of which, on nsing a h^her power, are resolved, aa it is said, into aaaemblages of atars. Some of them have never been resolved even by the magnificent instrument of Lord Eosse, seen through which they stUl present the same indistinct and hazy appearance as in a less powerful teleacope. 91 The classification of the stars visible to the naked eye into six classes or magnitudes is very convenient in a general way ; but for accurate pur poses it is too rough, and subject to great uncertainty; so much so that many stars, whioh are considered in some maps as of one magnitude, are in other maps put dovm aa of a different magnitude. Thus, for instance, in littrow's maps (Atlas des geatimter Himmels) the seven stars in the Great Bear are represented to be aU of the second magnitude, except the star marked S, which is put down aa of the thfrd. But in the maps published by the Society for the Difiusion of Useful Knowledge, the star a is considered to be of the first magnitude, /3, y, and yj of the second, and 8, e, f of the thfrd. 92 There is, however, a good reason for uncertainty with respect to the magnitudes of several stars, in the fact that they appear to change thefr mag nitude from time to time, being subject, from some cause or other, to a periodical variation of brightness. Thus, for example, the remarkable star Algol (|3 Persei) suffers a considerable change of brightness in a period of not quite three days, being at one time during tiiat period of the second magni tude, and at another tune only of the fourth. 93 The most probable way of accounting for this change of brightness is by the supposition that it is caused by the revolution of spots on the star's disk, as in the case of the. Sun, or by large planetary bodies moving round the star as their Sun. The manner in wluch the brightnesa of Algol varies makes this Tery likely, for it changes rapidly from the second to the fourth magnitude, and then as rapidly back again to the second, after which it remains imchanged for the remainder of the period. The change from the second magnitude to the fourth and back again occupies only seven hours ; whUe the time during which the star retains its brightness unchanged is about sixty -two hours. This is accounted for easUy, if we suppose a spot or opaque body to revolve round thf star in ahout sixty -nine hours, during seven hours of which time it is between the eye and the .-star. For full information respecting this interesting point, we may refer the reader to Captafri Smyth's Celestial Cycle, in the second volume ofwhich com plete .and accurate information is given respecting almost every star and ob ject of interest in the heavens. This is a most valuable, and we may say amusing book, and ought to be in the hands of every one who takes an interest in astronomy. 94 A good method of gettfrig an idea of the magnitudes of the different stars is to watch them as they become visible iu succession after sunset. As the dayUght fades away, those of the first magnitude are seen flrst ; soon after, those of the second come out, then those of Uie thfrd, and so ou. The light of the Moon may also be used as a test of the comparative brightness of the stars. For more accurate mctiiods, see Smyth's Celestial Cycle, toI. i. p. 272. It IS scarcely necessary to observe that the word magnitude, as applied to the stars, is not used m its proper signification; it has, of course, no reference THE CONSTELLATIONS. 27 to the real magnitudes or dimensions of the atars, but only to thefr apparent brightness. 95 We ahaU now proceed to deacribe the principal conateUations, and show how and where they are to be found in the heavens. As we go on, we shall explain the meaning of various astronomical terms which have relation to the celestial sphere, and to the apparent motion of the Sun. In describing the consteUations, we shaU endeavour to do so in such order, and to classify them in such a manner, that any one may, in a short time, make himself quite famiUar with thefr appearance and relative positions in the heavens. rv. Ofthe North Circumpolar Begion ofthe Heavens. 96 Method of finding the Pole Star by means of the Great Bear. — If we observe the motion of the stars for four or five hours, we ahaU perceive, as haa been already stated, that they aU revolTe about a particular point of the heaTens, wliich is caUed (in these latitudes) the North Pole, Near this point is a tolerably bright atar, which is known by the name of the Pole Star. There is no other star of equal brightness in the immediate vicinity of the North Pole, and therefore the Pole Star, once pointed out, is easUy recogniaed again, especiaUy aa it is always to be seen in the same direction on account of its nearneaa to the Pole ; for the cfrcle it describes ahout the Pole is so small, that its motion is not sensible to the eye without the assistance of some inatrument, 07 To find the Pole Star, we muat haTe recourse to the remarkable and weU-known group of stars commonly knovro by the name of the Great Bear, of which imaginary animal they form the taU and hind quarter. They are often caUed Charles' Wain, and sometimes the Plough, and this latter name giTes the best idea ofthe form ofthis group of stars. Thefr Latin name was Sep tem Triones, or the SeTen Oxen ; Trio signifying an Ox, The Greek name, apia-os, {arctos,) sig nifies a bear, and hence the northem region of the heaTens is caUed the Arctic region. The Latin name of the whole con stellation of the Great Bear is Ursa Major, The group consists of scTcn rather bright stars, which are usuaUy denoted by the Greek letters, a ^y 8 e f ij, as is shown in fig. 12. The tla:ee atars, e f >), form the taU of the Great Bear, a ^ y and 8 the hind quarter. The whole consteUation, with the imaginary figure of the Bear, is shown in fig. 13, (on next page,) which includes all the stars as far as the fourth magnitude. 98 The star a is caUed Buhhe, (an Arabic name, signify ing the Bear ;) it is the brightest star of the seven, and may be considered as of the first mag nitude. The star 8 is the faintest of 28 MATHEMATICAL GEOGRAPHY. the group, and is of the thfrd magnitude ; the other stars may be considered as of the second magnitude. This consteUation is constantly aUuded to by ancient writers. In Homer (Od. V. 272) we find the foUowing Unea: — ovie o't vnvoi ^«-i BXe^apoiTt ?wtitT€v nXtjidias t' iiropSiVTt Ka'i o^i ivovra SowTrli. "ApKTOv 0' riv Kai "A/iafav eTTiKXneriv KaXeotxriv ^t* avTov arp^^erat Kai t' *Qpitava doKEuei otn 6' Sfifiopot i-crTi XocTpSif *tlKeavoto. ' Nor did sleep faU upon his eyeUds as he watched the Pleiades, and tiie late- setting Bootes, and the Bear, which also is commonly caUed the Wain, which revolTes in that part of the heavens, and watches Orion, and alone is never bathed in the ocean.' 99 The atars a and ^ are commonly caUed the Pointers, because they Eoint nearly towards the Pole Star. If an imaginary line be drawn in ths eaTens through the Pointers, it wiU pass near the Pole Star, as is repre*' sented in fig. 12, where a' denotes the Pole Star. ' ' In findmg the Pole Star by means ofthe Pointers, it is important to re member that this line is to be drawn in the dfrection represented by the arrow, i, e., from 0 to a, not from a to^. From a' to a is about five times the distance between a and /3, a' is on the offside ofthe Une of dfrection of the Pomters, with reference to tho seven stars, i. e., not on the same side as the taU We may therefore give the following rule for finding the Pole Star 100 Draw an imaginary line in the heavens from |3 to a, and produce it on tUl the produced part IS about five times the length of the distlmce from /3 to a ; then near the extremity ofthis hne, onthe contrarv side to tiie Bear's the Pok star'^'' '^ '*''''' ''° °*^" ^''"^^^^ ^'''^'^^ ^ its vicinity, which is loi Of the Little Bear, or Ur.^,i Minor.— The Pole Sfnr r,r. t>„j,^;, oa it is often caUed, forma the extremity of the taU of wLt Is' rnown by tie THE CONSTELLATIONS. 29 name ofthe Little Bear. This con stellation is by no means so obvious to the eye as the seven stars of the Great Bear, the atara composing it being fainter, with the exception of Polaris. The Little Bear is repre sented in fig. 14, with the form of the animal toaced out. The relative positions of the Great Bear and Littie Bear are shown in fig. 15. The stars ofthe Little Bear form a figure not unlike that of the seven stars of the Great Bear. It may be weU to observe, that the tails of the two Bears are on contrary aides. The atars of the Little Bear are de noted by Greek letters, aa is repre sented in fig. 15, and the same plan is adopted m aU the other constel lations. The Pole Star is a ot the Little Bear, and in most caaea a de notes the brightest star of a con stellation. It is usual to specify any particular star by prefixing the Greek letter by whioh it is denoted to the Latin name of the constellation to which Fig. 15 ^ 0 • S ? \ \ 1 « • • p\ a • it belongs in the genitive case. Thus, Polaris is spoken of as a Ursse Minoris, (3 of the Great Bear as 3 Ursse Majoris, and so on. Sometimes stars are marked by Eoman lettera and by numbers ; for instance, we have 61 Cygni, m Uraae Majoris. 102 The use which was made of Polaris in navigation is weU known, and is very ancient. Polaris is often called the Lode Star — ^i. e., the leading or guiding star. It waa formerly called Cynosura, or the Dog's Tail, Ursa Minor having been figured as a dog in those times. The word cynosure has passed into our language, denoting whatever ia a centre of attraction to the eye : thus, in MUton's L' Allegro we have — Where perhaps some beauty lies, The Cynosure of neighbouring eyes. 30 MATHEMATICAL GEOGRAPHY. In the Latin translation of the poem of Aratus we have- Ex his altera apud Graioa Cynosura vocatur llac fidunt duce noctuma Phoenices in alto. Probably this hue explains why Polaris was often caUed Phoenice, 103 The two atars /3 and 7 of the Little Bear were caUed the Guards, from a Spanish word signifying ' to watch,' because they were used by aaUors to mark the hour of the night before watches and chronometers were in vented. The star /3 was nearer to the pole than Polaris two thousand years ago, and it was the North Star of the Arabian astronomers, whence it was caUed Kocah. 104 The position of the pole may be nearly found by means of the Pole Star and the Guards, in the foUowing manner: — In fig. 15, draw a Une through Polaris (a) perpendicular to the line joining the two Guards 0 and y, and m that line, about 1^^° from Polaris, is the North Pole, represented by P in the figure. 105 To get an idea of the distance of the Pole from Polaris, we may observe that the Pole is about twice as far from the star 3 as it is from 0, and that the line drawn from 8 to P is inclined, as is represented in the figure, to the Une drawn from a perpendicular to that passing through /3 and y. At present the Pole is getting nearer to the Pole Star ; in about 140 years the Pole wUl be about \° from Polaris, afterwards it wUl recede from it. 106 Method of Setting the Instrument described in the former Cliapter. — We shaU here explain the manner in which the instrument, described in the former chapter, may be placed with the axis A P (fig. e) pointing towards _,- _ the Pole nearly. ,.•' "* _ First, the telescope (or the rod wiUi sights) must be tumed round its pivot ^ p C, until it points in the same direc- .'•' tion as the Une A P, as is represented in fig. 16. This may be easUy done by pointing the telescope, placed as in fig. 16, towards any distant object, S, and then turning the tube B C round. If, on doing this, the ohject S does not appear to change its posi tion in the telescope, then it is easy to see that the line D S must be pa raUel to the axis A P, about which the tube has tumed. If, however, the object S appears to change, the tele scope must be shghtiy tumed ahout its pivot C, until the apparent position of the object S, in the telescope, is not affected by the motion of the tube about its axis. 107 When the telescope is thns , , _, , adjusted, the graduated cfrcle. which IS attached to C, to measure tho angle made by the Imes A P and D S, ought to show zero, since tho two hnes are then parallel. This gives us a method of finding whether the graduated cfrcle is properly placed or not, and tf not, of making the necessary adjustment. io8 l!^ow, supposing the teleacope to be nlaced with its hne of collima tion, D S, parallel to the axis A P let the whole upper portion of the insfru- ment be turned about the joint A and the vertical stem^A G also if necessary, untu the telescope points to the Pole, the position ofwhich must be gues^d by the eye, by drawmg from Polaris an imaginai-y line, pernenScite a.i neary as can bejudgea, to tho hne joining le t/o Gu^rd^S^^Jiw a pomt on that line twice as for from tiib Star 8 as from PoWis TlUs may TIIE CON.STELLATIONS. be easUy done without losing more than a half of a degree from the true place of the Pole, and tins wiU be sufficiently accurate, considering the rude ness of the instrument. The axis A P, having been once directed to the Pole, should be fixed in that position, which may be done by tightening the joint A, and by putting three marks on the cfrcumference of the base of the mstrument G, and three corresponding marks on the pedestal out of doors upon whioh the instrument is placed , so that the instrument may be put back in its proper place, should it have been removed.* 109 With the instrument thus placed, the general facts stated in the former chapter, respecting the cfrcumpolar motion, and the proper motions of the Sun, Moon, and Planets, may be easUy observed according to the method described in the case of the Sun. no Cassiopea's Chair.— -H an imaginary line be drawn from any one of the three stars forming the tail of the Great Bear (f, f, or 17, TJrasB Majoris) through Polaris, it wUl lead to the consteUation Cas- siopea, the five principal stars of which form Cassiopea's Chair, which is something like a distorted M or W Tlie Pole is about half-way between the taU of the Great Bear and Cassiopea's Chair. Fig. 17 shows the five principal atara of this consteUation. Ill It is worth remembering, that the Utc stars of the Chair form two triangles, one nearly a right angled triangle, consisting of a, /3, and y, and the other a Tery obtuse angled triangle, consisting of y, 8, and e. We make this observation, because, without it, it is not easy to distinguish /3 from e, and it is of some importance to remember which of the five stars is (3. 112 /3 CassiopesB ia a atar of the aecond magnitude, and is the extreme, on tie side ofthe right angled triangle, of the five atara. If a great cfrcle be drawn through Polaria and /3 Cassiopeae, it coincides very nearly with the great cfrcle caUed the Equinoctial Colure — ^i. e., the great cfrcle passing through the poles and the two equinoctial points of the Equator. AU great circlea passing through the Poles were formerly called Colures, (Kokovpoi,) because, as the word signifies, they were partly cut off, or, as it were, maimed, by the horizon. The name is now restricted to two great cfrcles passing through the Poles, one cutting the Equator at the equinoctial points, the other at points 90° from the equinoctial points. The former was caUed the Equinoctial Colure, the latter the Solstitial, because, as we haTe al ready explained, the points where the Sun becomes stationary for a short time (as far as his motion towards or from the Pole is concerned) are in the latter great cfrcle. 113 In fig. 18, which ia supposed to represent a sphere, these cfrclea are shown. A B C D represents the Equa tor, P the North Pole, Q the South Pole, A the Vernal Equinoctial point, C the Autumnal, B and D the points of the Equator which are 90° from A and C : then the great circle P A Q C is the Equinoctial Colure, and the great Fig. 18 ^ A r — -^ I ^_Z^I^^^ \ ^ \ jJ * A projecting piece at A, with a clamp and screw, would malie it easy to point A P to the Pole, and keep it flxed at the proper inclination. 32 MATHEMATICAL GEOGRAPHY. circle P B Q D the Solstitial Colure. The Equmootial Colure is marked by the Stars 8 Ursse Majoris, Polaris, and 0 Cassiopese ; the position of 6 Ursse Majoris is about at E, and that of /3 Caasiopeae at S. The star a of this consteUation is one of those remarkable stars, the brightness of which is continuaUy changing, a generaUy appears fainter than 0, but sometimes it becomes brighter. What the cause of this change of splendour may be we can only guess. It is likely, as we haTe afready stated, that there are apots on the star's disc, and that they sometimes appear and sometimes disappear, m consequence of the star's rotation about its axis, so causing a Tariation in the quantity of light emitted from the star ; or the change of bnghtneas may be caused by large planetary bodies revolving about the star as thefr aim, and: sometimes interceptmg the light of the star. 114 Ofhe Dragon. — The oonateUation Draco, the Dragon, commences between the Great Bear and the Little Bear, runa almost halfway round the latter, and then tums off m the opposite dfrection. It is represented in fig. 19, with the form usuaUy given to the Dragon traced out, Ursa Minor on one side of the taU, and the Septemtriones on the other. It is worth observing, that this consteUation, commencing not far from a Ursse Majoris. (the first of the Pointers,) lies on the tail side of the Septemtriones, and on the same side as the body, not the taU, ofthe Littie Beai-. In the Isi Georgic of VirgU,' the position 01 Draco between the two Bears is described — Maximus hic flexu sinuoso elabitur Anguis Circum perque duas in morem fluminis Arctos, Arctos Oceani metuentes tequore tingi. ' Here the enormous Dragon gUdea round with winding flexure, like a river, between the two Beara, the Bears that fear to dip in the ocean.' 115 The star a Draconis, which is not far from half way between the two THE CONSTELLATIONS. 33 Guards in the Little Bear and the tail of the Great Bear, was formerly the Pole Star, the Pole having been very near it (not a quarter of a degree from it) in the times ofthe Chaldean observers. ii6 The two principal stars of this consteUation are those marked ^ and y in the head of the Dragon, and their position should be weU remem bered ; they are of the aecond magnitude. To find them, we have only to draw an imaginary line through a and 8 Ursse Minoris, near which they wUl be foimd, or, what is the aame thing nearly, a line from Polaria, perpendicular to the Une from Polaris to y Ursse Majoris, wUl find them. They are about at the same distance from the Pole as the second of the Pointers (/3 Ursse Majoris). A line through the Guards O and y Ursse Minoris), goes nearly through the head of Draco. y Draconis is a most remarkable star in the history of astronomy ; it passes nearly verticaUy over Greenwich, and was on that account chosen by the great astronomer, Bradley, as the moat auitable for his observations, which led him to the twofold discovery of the Aberration of Light and the Nutation of the Earth's axis. 117 Cepheus. — Between the Dragon and Cassiopea wUl be found the atars ofthis consteUation ; they are not easUy distinguished from the stars of Draco, but, by remembering, that an imaginary line through y Urase Majoria and ^ Ursse Minoria, (the inner Guard,) aeparates Draco from Cepheus, there will never be any difficulty in making out the limita of Cepheus. Fig. 20 shows Cepheus. 118 Camelopa/rdus. — This consteUation is by no means remarkable; 1,. occupies the space on the opposite side of the Dragon beyond Polaris, and between the head of the Great Bear and Cassiopea, 119 Position of the Colures with reference to the Circumpola/r Stars. — We haTe described the constellations in the immediate vicinity of the Pole at D 34 MATHEMATICAL GEOGRAPHY. some length, because, when thefr poaitionswithreferencetothePde^toe^^^ other are weU understood and remembered, they {"^ ^° ^^y^fo^d pomts of departure, whereby the other consteUations "^flf^l^^^^i^^^v ^ We have afready stated that the Equinoctial Colure 'leariy coin^des^t^ the great cfrcle passing through /3 Cassiopea, a Pola™, and betw^^^ UrsS Majoris, nearer to 8 than to y.TheSohtitial CoUre rm^ It hflwaTS Pole at rieht ansles to the Equinoctial, close by y Draconis. Xt is always worth remfmlei^g that the C^otoes are marked by PoUr^, »-r^^ch t^iey intersect, bv /3 Cassiopese and 8 Ursse Majons, which show the direction ot the Equinortial Cdm-e, and by y Draconis, (in the Dragon s Head,) which shows the diSon of the Solstitial 6olure. In fig. 21 the colures and the circum- polar constellations are represented. Fig. 21 Andromeda 1 Srring Colnre • • Cygnus a • Ceph eus 1 "•f'^ • • Eer«'* Lyra Capella • tVega E t. Polaris C--V-*-' .^ Wilier Cohire • Dragon's ^ , Head dummer Colure Dragon's Tail IlerculC!) P ; Ursa MfMor Bootes Autumn Colure 120 Pole of the Ecliptic and the Sun's Motion. — The position of the Pola of the Ecliptic is shown at E, fig. 21. It is nearly in the imaginary hne joining Polaris and y Draconis, half way between the Pole and the Dragoii's Head, which is worth remembering. The EcUptic is, as has been stated, th*, great cfrcle along which the Sun appears to move from west to east at tie rate of nearly one degree daily, so completing the entfre cfrcle in 365 days in round numbers. The sun is therefore always 90° from a point of the heaveM about half way between Polaris and the Dragon's Head, 121 About the thfrd week in March and September the Sun crosses the great cfrcle, passing through Polaris andjS Cassiopese, and at the corresponding period in June and December he crosses the great circle, passing througn Polaris and y Draconis. We shaU find it convenient to divide each of the two Colures into semicfrcles, and consider that there are four Colures, whieh we shaU call Vernal, Summer, Autumnal, and in»fer Colures. The half great circle drawn from pole to pole through 0 Cassiopese nearly is the Vernal Colure, because the Sun crosses it in spring. The other half of the Equinoctial THE CONSTELLATIONS. 35 Colure is the Autumnal Colure, because the Sun crosses it in autumn. Tho half great cfrcle drawn from pole to pole through y Draconis nearly is the Winter Colure, because the Sun crosses it in winter ; and the other half ofthe Solstitial Colure is the Summer Colure, because the Sun crosses it in summer. The four Colures, therefore, are marked as foUows :— The Vernal Colure— by Cassiopea. The Summer Colure— by Camelopardus. The Autumnal Colure— by the Septemtriones. The Winter Colure— by the Dragon's Head. The Sun's distance from the Pole is, when he crosses The Vernal Colure, 90°. The Summer Colure, about 665°. The Autumnal Colure, 90°. The Winter Colure, about 113^- Having dwelt at some length on the cfrcumpolar constellations for the reason above mentioned, we must now aUude only briefiy to the other con steUations, at least the principal of them. V. Segion of the Heavens along the Vernal Colure. 122 In fig. 23 (see next page) this region is shown extending from Casaiopea to the Equator, and some way south of it. The first group of atara that catches the eye in this region is the square formed by the four stars, Alpherat, Algenib, Markab, and Scheat, shown in the figure. The Vernal Colure, which, it will be remembered, is drawn from the Pole through /3 Cassiopese nearly, passes through Alpherat and near Algenib, the two eastem stars of this square. 123 Andromeda. — The consteUation Andromeda comes next after Cas siopea, as we go from the Pole to the Equator along the Vernal Colure, lying on the east side of the Colure : Alpherat is a Andromedse. 124 Pegasus. — This consteUation is on the western side of the Colure, Markab, Sheat, and Algenib, are a, /3, and y Pegasi, 125 Pisces, the Fishes. — This consteUation is figured as two fishes tied together by a long string. One fish is marked by three small stars a Uttle west of the Colure, just below Algenib and Markab. The other fish is higher up, near Andromeda, on the east of the Colure. This is one of the twelve consteUations, caUed the Signs ofthe Zodiac. 126 Aries, the Bam. — ^The head of Aries is marked by two stars of the thfrd magnitude, easUy recogniaed, situated aome way east of the Colure. Aries is one of the signs of the Zodiac. 127 Vernal Equinoctial Point. — The figure shows the equator and ecliptic meeting the Colure at the vernal equinoctiafpoint, which is about as far below Algenib, as Algenib is below Alpherat. The Sun's proper motion takes place along the echptic in the direction represented by the arrow, contrary to the diurnal rotation of the heavens, the dfrection of which is represented by the arrow pointing along the equator. 128 The equinoctial point is continuaUy but very slowly moving along the ecliptic, in a dfrection contrary to that of the Sun's proper motion. This point was formerly in Aries, and was caUed the Ffrst Point of Aries, It is now in Pisces, and is moTing towards Aquarius. It stUl, notwithstanding, retaina the name of the First Toint of Aries. 129 Aquarius, the Waterman. — This ia another of the signs of the Zodiac, next to Pisces, but lower down, on the western side of the Colure. 130 Cetus, the Whale. — Opposite Aquarius, on the other side of the Colure, is a large constellation, caUed Cetus, the stars ofwhich, near the tail, are shown in the figure. 131 Piscis Australis, the Southern Fish. — A bright star ofthe first mag- d3 36 MATHEMATICAL GEOGRAPHY. Fig. aa Eastern Side CoHiopea .P ^ l^ Alpherat o ? Algenib ^'i. ""I-, *-c °f. ¦°fl Fqiiator_ Equinox Diurnal Rotation Cetus Western Side gclieat Aquarius^ Fomalhaut • P'so>». Auslralis THE CONSTELLATIONS. 37 nitude, called Fomalhaut, which means the Fish's Mouth, being a corruption of an Arabic word, marks the mouth of the Southern Fish, which lies immediately be low Aquarius. This star being so much to the south of the equator, is ncTer seen much above the ho- lizon in these latitudes, and is therefore seldom visible, the stars near the horizon being generaUy obscured by mists and clouds; besides, the more to the south a star is, the shorter time is it above the horizon each day, VI. Begion ofthe Heavens along the Summer Colure. 132 Auriga, the Charioteer. — The first remarkable group that catches the eye as we go from the Pole along the Summer Colure, is the beautiful consteUation of Auriga, shown in fig. 23, which Ues close to the Colure, on the westem side. The brilUant star, Capella, or the Goat, is the Lu- ^„,^ \ / ° ""^^^ / ¦»¦ / ? / • • / f / '^'-.^ / • / • / / • \ ^^ ,p "V • steUations, without any remarks respecting them, do not produce much efi'eet on the memory. Por complete and accurate information, we may refer the reader to the six maps of the stars published by the Society for the Difliision of UsefiU Knowledge, and to Smyth's Celestial Cycle, vol. u. We shaU conclude this chapter with a few words on the stars and consteUations which come on the meridian at certain hours at diff'erent times of the year. IX. Constellations visible on the Meridian at different Hows ofthe Night, and at different Seasons ofthe Year. 153 It is easy to make out what stars are on the meridian at midnight at any particular time of the year, by considering the position of the Sun m the heavens : thus, at the Vernal Equinox, the sun is on the Vernal Colure, and tiierefore at midnight, when the Stm is on the meridian below the horizon, the Vernal Colure must be so also, and therefore the Aulumnal Colure must be on the meridian above the horizon. Hence aU the stars lying along the Autuinnai Colure wiU be on the meridian at midnight at the v emal Equinox. It is also easy to make out what stars are on the meridian at any other hour, by making the proper aUowance for the diurnal rotation ofthe heavens, 154 The foUowing table exhibits the conateUations visible on or near the meridian at nine o'clock, (three hours before midnight,) at different times ofthe year. 46 MATHEMATICAL GEOGRAPHY. Third week in March. Head of Ursa Major. Cancer. Head of Leo. Eegnlus. C!or Hydrae. A April. The Pointers. Deneb. Tail of Leo. Coma Berenices. Head of Virgo. B May. Tail of Ursa Major. Cor Caroli. Bootes. Arcturus. Coma Berenices. Virgo. Spica. C „ June. Body of Ursa Minor. Bootes. Corona Borealis. Head of Serpens. Libra. D July. Tail of Ursa Minor. Head of Draco. Hercules. Ophiocbns and Serpens. Scorpio. £ August. 3 Draconis. Cygnus. Lyra. Vega. Aquila. Altair. Sagittarius. P „ September, Cepheus. Tail of Cygnus. Delphinus. Head of Fegasns. Aquarius. Capricomos. G October. /3 Cassiopese and Head of Cepheus. Scheat. Markab. Pegasus. Pisces, (westem fish.) Tail of Cetns. Aquarius. Fomalhaut. H „ November. S and y Cassiopeae. Andromeda. Aries. Pisces, (eastem flsh.) Alpherat. Algenib. TaU of Cetus. I „ December. Perseus. Algol. Pleiades. Aries. Head of Cetns. Eridanus. J „ January. Capella, Auriga, Hyades. Gemini. Canis Minor. Orion. Canis M^or. K „ February. Gemini. Castor and Pollux. Canis Minor. Procyon. Canis M^jor. Sirius. L 155 We have chosen nine o'clock in the above table as a convenient hour, for observing the stars, instead of midnight, which would be rather late foi?; most pecmle. Tbe table may, howcTer, be easUy adapted to any hour by means of the foUowing, in which ABC &c, denote the constellations in the above table. Table showing the Constellations on or near the Meridian at different J Hours in different Months. ; ..ja EVENING. 1 ' ~^^ MORNING. '' e o'clock. 7 o'clock. 9 o'clock. 11 o'clock. I o'clock. s o'clock. s o'clock. o'ao(k March . . K L A B C D e: P April . . L A B C D E F G' fill May. . , A B C D E F G H*^ i June . . B C D E F G H I July. . . c D E P G H I J August . , D E F G H I 1 J K THE CONSTELLATIONS. Table — continued. 47 EVENING. MORNING. 6 o'clock. 7 o'clock. 9 o'clock. 11 o'clock. 1 o'clock. 3 O'clock. 6 o'clock. 7 O'clock. September. E F G H I J K L October F G H I J K L A November . G H I J K L A B December . H I J K L A B C January . I J K L A B C D February . j J K L A B C D E For example: What conateUations wUl be on or near the meridian at seven o'clock in February ? Looking in the column under seven o'clock, we find K opposite February; and therefore jTeferring to the former table, to see what consteUations are represented by K, we find that CapeUa, Auriga, the Hyades, Gemini, Canis Minor, Orion, Canis Major, wUl be on or near the meridian at the time specified. X. ^gns of tlie 2^diae. 156 As the motions of the Sun, Moon, and Planets take place among these consteUations, it is necessary to say something respecting them. The Zodiac is the celestial region lying along the EoUptic;it8 name is derived from £tiSiov, zodion, a little animal, because its different parts are marked by figures' of animals. Fig. 37 shows the animals as represented on the ceiling of 48 MATHEMATICAL GEOGRAPHY. an apartment in the Temple of Denderah in Egypt, which we may conclude, from inspecting the ceihng, was adomed witii these curious figures about 700 B.C. See Penmy Cyclopcedia, Art. Zodiac, where an account of the ceU ing is given, together with information respecting the ancient consteUations. 157 The order of the Zodiacal signs, and the symbols by which they are represented, are as fol lows : — Aries, the Ham . . . . (yi Taurus, the Bull . . . \i Gemini, the Twins . . . n Cancer, the Crab ... 93 Leo, the Lion • • • . SI Virgo, the Virgin . . . rqj Libra, the Balance . . . & Scorpio, the Scorpion . . m Sagittarius, the Archer . f Capricomus, the Goat . vjp Aquarius, the Waterman . ^ Pisces, the Fishes ... X Fig. 38 -/3 • • • Libra • a • . ../ . • • We have already spoken of the stars composing all these constel lations, except Cancer, Libra, and Capricomus, which are shown in figs. 38, 39, and 40. Fig. 39 Aquarius a , • • • • • • • * * « • c*^'^^'* , • • • • • Sagittarius 158 In all the above figures of the constellations we have represented the principal stars only, generaUy aU as far as the fourth magnitude, but sometimes as far as the fifth, where such stars were necessaiy to be put down, in order to make it easy to find out the consteUation in the heavens.* • The different magnitudes of the stars are not represented as aoonrately as in the drawings sent to the engraver, but there are uo errors of any consequence. In a few ofthe figures the constellations are a little distorted in shape. ASTRONOMICAL TERMS EXPLAINED. 49 CHAPTER III ASTEONOMICAL TEEMS EXPLAINED. — MEASUREMENT OE TIME. BEFOEE we proceed to the practical appUcation of Astronomy, it wUl be necessary to explain the meaning of certain terms constantly made uae of in the science, whereby the positions and the motions of heavenly bodies are defined, and to describe the different measures and periods of time, which is so important an element in astronomical observations and calculations. I. Terms relating to Veridical and Horizon 1 60 Vertical. — When a body is aUowed to fall towards the Earth's surface, it describes a straight Une tending towards the c^tre of the Earth nearly. We say nearly, because, on account of the Earth not being exactly spherical, bodies do not fall exactly towards the centre. The motion of falling bodies is produced by the attraction of the Earth, or the attraction of Gravi^, as it ia caUed. If the body, instead of being aUowed to faU, is sus pended by a string ,the string shows the direction in which the body would laU, if aUowed to do ao, because it shows the direction in which the force of gravity puUa the body. The straight line which a falling body describes is caUed the Vertical or Vertical Direction, This direction is determined by auapending a heavy body, such as a piece of lead, by a string, and then the string wUl show the vertical. A string thus used is called a plumb line (trom pl-umbum, lead). 161 The vertical ia, then, the direction in which the force of gravity acts, and therefore Astronomers always determine or observe the Tertioai 50 MATHEMATICAL GEOGRAPHY, du-ection by meana of the force of graTity. We must remark, howerer, fchat in the neighbourhood of large mountain masses, especiaUy where there is a flat country on one side, ancl moimtains on the other, the direction of the force of gravity ia sensibly, though very sUghtly, affected by the attraction of the mountains. In this case the plumb Une is aaid to be drawn out of the proper Tertical, which is considered to be the direction in which the force of gravity would act, if the ground were on aU sides perfectly level. We must, therefore, in defining the vertical to be the direction in which a plumb line hangs, add, that the Earth'a surface is supposed to be perfectly level, or, in other words, to be the same as the surmce of the ocean would be if it covered the whole Earth. 162 We must also observe, that when a body is aUowed to faU from a very considerable height, it falls a Uttle eastward of the tme vertical (as shown by a plumb Une), in consequence of the Earth's rotation about its axis. The deviation from the vertical is, however, extremely smaU. 163 Horizontal. The plane to which the vertical Une is perpendicular is caUed the Horizontal Plane. The surface of stUl water, or any other fluid, such as mercury, shows the horizontal plane, provided it be of Umited extent : for fluitt surfaces of considerable extent are sensibly curved, aa we see in the case of the ocean. Astronomers employ thia property of fluids to determine the horizontal plane, as we shall presently explam when we come to speak of the Spirit Level, and the method of obserring heaTenly bodies reflected in a trough of mercury. 164 ETery plane containing the vertical Une, or, what is the same thing, every plane perpendicular to the horizontal plane, is caUed a Vertical Plane. The intersection of two vertical planes is therefore a vertical line. 16s Zenith and Horizon. — We have, in the previous chapter, explained what the celestial sphere is, and what great circles and smaU ciroles are. The ; points of the celestial sphere, where the vertical line produced meets it, are caUed the Zenith and Nadir (terms of Arabic origin), the zenith being the point of the celeatial aphere exactly over the obaerver's head, and nadir the opposite point beneath his feet. 166 The horizontal plane cuts the celestial sphere in a great circle, which is caUed the Horizon. The word was originaUy apphed to the circle whioh sensibly boimds the view of a spectator at sea, or on a height, and hence the word is derived from the Greek opi^a, to bound or hmit. The Horizon ia therefore a great circle of the celestial aphere, the poles of which are the zenith and nafir. Every point of the Horizon is 90° from the zenith. 167 Meridia/n. — That vertical plane in which the Earth's ayis of rotationhes is caUed the Meridian Plane, or Plane ofthe Meridian : and the great cirde' in which this plane cuts the celeatial sphere is caUed the Meridian. The Meridian is therefore the great circle which passes through the North and South Poles and the Zenith. The name is derived from the Latin word si^ufying half-day, or mid-day, because it is mid day when the Sun crosses the Meridian, 168 Altitude and Azimuth. — Let ABC, fig, 41, represent half the Hori zon, P and Q Qie North and Soutii Poles, Z and N the Zenith and Nadir, and A P Z C Q N the Meridian: let S denote the position of any star on the celestial sphere, and let a great circle be drawn throng Z and S meeting the ho rizon at S', Then the circular arc S S' expressed in degrees, minutes, and se conds, is oaUed the Altitude of the star S, and the circular arc A S', expressed si mUarly, is caUed the Azimuth of ihe star. ASTEONOMICAL TERMS EXPLAINED. 51 The arc Z S, in degrees, minutes, and seconds, is caUed the Zenith Distance of the star ; Z S is the complement of S S' — i. e., Z S added to S S' completes or makes up 90°. Since the circular ai'c S S' shows how high the star is on the celestial sphere above the horizon, it is properly caUed the Altitude of the Star. Tho word Azimuth is a corruption of an Arabic word signifying ' the way' or ' dis tance,' meaning thereby the number of degrees, minutes, and seconds we must go along the horizon ABC, from the point A, in order to get to S', which point marks the vertical plane in which the star is. 169 The position of a star on the celestial sphere is completely defined by stating its altitude and azimuth ; for example, if the altitude of the atar be 30° and its azimuth 50°, we find the place of the star by measuring along the horizon from A, a circular arc A S' equal to 50°, then from S' drawing a great circle to Z, and measuring S' S equ^to 30°, which wUl give the place of tiie star S. 170 It is important to remember that the great circle Z S S' N shows on the celeatial sphere the vertical plane in which the star is ; for this ch'cle, since it passes through the zenith and nadir, Z and N, Ues in a vertical plane, and therefore shows on the celestial sphere the vertical plane in which the star is. We shaU apeak of this plane as the plane Z S S' N. 171 The arc A S' mows the angle which thia vertical plane makes with the meridian plane ZAN; for, if we conceive the semicircle Z S' S N to turn about the points Z and N, the point S' starting from A and moving towards B, itis clear that the number of degrees, minutes, and seconds through which the point S' moves along the horizon, show the number of degrees, minutes, and seconds through which the vertical circle or plane Z S S' N turns about the points Z and N, or, what ia the same thing, the angle of inclination of the plane Z S S' N to the plane of the meridian. The angle at Z, which the two circles Z P A and Z S S' make with each other, also shows the incUnation of the plane Z S S' N to the plane of the meridian ; for, conceiving the plane Z S S N to turn as before, it is clear that the number of degrees, minutes, and seconds, in the angle at Z, which the arc Z S S' makes with Z P A, shows the number of degrees, minutes, and seconda through the plane Z S S' N turns about Z — i. e., ita inclination to the plane of the meridian. Hence the azimuth of a star shows the inclination of the vertical plane in which the star ia to the meridian plane, or, what is the same thing, the angle which the zenith circle of the star makes with the meridian. Bythe zenith circle of a star, we mean the great circle passing through the zenith and the star. 172 Prime Vertical. — The vertical plane, which is perpendicular to the plane of the meridian, is called the Prime Vertical Plane, smA-the gcea.t Fig. 42 ^ ^ circle in which thia plane cuta the celestial sphere is called the Prime Vertical ; in other words, the Prime Vertical is the zenith circle, Z B N, which cuts the horizon half way be tween A and C, B being supposed to be 90° from A. 173 Points of the Compass. — A, fig. 41, is caUed the North Point of the horizon, C the South Point, B the East Pomt, and the point op posite B (on the other half of the horizon) the West Point. These are generaUy known as the Points ofthe Compass, which are represented in fig, 42, the circle being the horizon, and N E S and W bemg the north. 52 MATHEMATICAL GEOGRAPHY. east, south, and west pomts respectively. There are altogether tiiirfry-two pomts of the compass, at equal distances from each other, dividing each qua drant of the horizon mto eight equal parta, each part being therefore one-eightli of 90°— i. e., 11° 15'. Each of these diviaiona ia suppoaed to be further sub divided into what are caUed Quarter Points, each containing 2° 48' 45", which make the fourth part of 11° 15'. It may be weU to remember the foUowmg table for one quadrant, whieh wUl apply to the other quadranta hy a simple change of points and corresponding letters . — Azimuth. Corresponding Point of Compass. 0° 23° 30' 45° 67° 30' 90° N. North Point. N. by E. North by East. N.N.E. North North East. N.E. by N. North Bast by North. N.E. North East. N.E. by E. North East by East. E.N.E. East North East. E. by N. East by North. E. East Point. One point (i. e., 11° 15') East of North, Half way between North and North East. One pomt North of North East. Half way between North and East. One point East of North Eiet. Half way between East and North East. One point North of East. 90° from North. 174 It should be home in mind, that when a star is rising or setting, it is 90 from the zenith ; and that the circumpolar motion of the heavens causes aU the heavenly bodiea which are at a sufficient distance from the Pole to cross the horizon twice in twenty-four hours, ascending or rising on the eastern side, and descending or setting on the weatem side. II. Terms relating to Pole and Equator. 175 In the same manner that we define the place of a star with reference " to the zenith and horizon, we may do also with reference to the Pole and Equator, by means of what are caUed Bight Ascension and Declination, as we shaU now explain. 176 Let P and Q (fig. 43) repreaent the north and south Poles, E A S' G half the Equator, PE Q G the meridian, S any star, A the Vernal Equinoctial point of the Equator, P A Q a great circle paaaing through P A and Q, P S S' Q a great cirde passing through PS and Q, and cutting the Equator at S'. Every point of the Equator is 90° from each Pole. A is the pomt where the Sun crosses the Equator m spring, at which time he is moving north ward. A is usuaUy caUed the first point of Aries, because m former times, when these names were brought mto use, the Vernal Equinoctial point was at the begin ning of the consteUation Aries, the Ram. At present the Vernal Equinoctial point, in consequence of its slow motion, called the , Tl, 1 Precession ofthe Equinoxes, is in the con steUation Pisces, the Fishes. The name—' First point of Aries'— is, however, atUl used to denote the Vernal Equinoctial point. 177 It is from this point that aU distances along the Equator are measured, just as we haTe meaam-ed diatancea along the horizon from the nortii pomt. It should be remembered that this point moTes round the Pole in twenty-foui hours with the reat of the heavens, crossmg tiie meridian when it comes to E, and again when it comes round on the other side to G, the motion being in the direction represented by tiie arrow in the figure. The imagmaiy ASTRONOMICAL TERMS EXPLAINED. 53 circles P A Q and P S S' Q are of course supposed to be carried roimd by the circumpolar motion, always keeping at the aame diatance from each other. 178 The great circlea P A Q and P S S' Q, may be caUed Polar Circles, aince they paas through the Poles ; and the planes in which these circles Ue may be called Polar Planea. The polar circle P A Q is the Vernal Colure, which, as we have already stated, is the great circle passing through the Poles and the Vernal Equinoctial point, or First Point of Arica, as it is caUed. 1 79 Bight Ascension and Declination. — The circxUar arc A S' is called the Bight Ascension oi ihe star S, andthe circular arc S' S ia caUed its Declination. The arc P S is the complement of the declination, and is caUed sometimes the co-declination, but more frequently the Norih Polar Distance of the star. Eight Ascension and DecUnation completely determuie the positions of heavenly bodies on the celestial sphere ; thus, for example, if the right ascension of a star be 20° and the declination 40°, we find its position by measuring from A an arc A S' of 20° along the Equator, then dravring a great circle from S' to P and measuring upon it an arc S' S of 40°, whioh wiU give S, the place of the star. 180 It is important to remark that right ascension is always measured from A, not in the direction of the arrow (fig. 43), but in the contrary direc tion. The reason of this is, that the Earth and planets move round the Sun and round their axes in the same way that we measure right ascension — i. e., contrary to the way in which the arrow points, which, as we have stated, indicatea the direction of the apparent motion of the heavens caused by the real motion of the Earth round its axis in the opposite direction. 181 Declination is always expressed in degrees, minutes, and seconds ; it is, so to speak, the altitude of the star above the Equator, or, we may say, the number of degrees, minutes, and aeconda by which the star declines from the Equator, using the word ' dechne' in its original signification of ' turning aside.' 182 If the atar is below the Equator, as at T (fig. 43), S T ia the dech nation of the star, and it is caUed south declination, because measured towards the South Pole, the declination of S being caUed north dechnation, because it is measured towards the North Pole. 183 The right ascension of a star is the distance, from the first point of Aries, of the point where the polar circle, in whioh the star is, cuta the Equator. The right ascension of a star shows alao the angle which the polar plane, in which the star is, makes with the plane ofthe ^rnal Colure. The angle at P, which the two circular arcs A P and S P make with each other, contains the same number of degrees, minutes, and seconds that the arc A S' does (which may be easUy seen as in the caae Azimuth, previously explained) : hence the angle, which the polar circle passing through the star makes, at the pole, with the Vernal Colure, shows the right ascension of the atar. The polar circle paaaing through a atar ia often oaUed ita dechnation circle. 184 The right ascension of a heavenly body is often, or rather, generaUy, expressed in time, at the rate of one hour for 15° — (i. e., twenty-four hours for 360°), since the heavens turn roimd the Pole at this rate, every star describing 15° of ita circular course in an hour. The feason of expressing right ascension in time wUl appear aa we go on, eapeciaUy when we come to speak ofthe transit instrument. Thus, if we say that the right ascension of S is four hours, we mean that AS' corresponds to four hours — i. e., that A S' contains four times 15°, or 60°. A right ascension of six hours ia 90°, of twelve houra 180°, of eighteen hours 270°, and of twenty-four hours 360°, which brings us round the whole equator. 185 If the right ascension of S be four hours, A wUl evidently come on the meridian at E four hours before S', for the space A S' wiU be described in four hours, in consequence of the circumpolar rotation. Hence, obaerving that S and S' come on the meridian at the aame inatant, we may define right ascension as foUows : — The right ascension of a star (expressed in hours, minutes, and seconds,) is 54 MATHEMATICAL GEOGRAPHY. the time that elapses between the transits acroaa the meridian of the flrst point of Aries and the star. If the star crosses the meridian two hours, ten minutes, and eight seconds after the first point of Aries, its right ascension ia two houra, ten minutes, and eight seconds, or briefly, 2" 10"" 8'. The Transit Inatrument, of which we shaU speak fuUy in a fature chapter, is nothing more than an instrument for observing the times at which heavenly bodies cross the meridian, or, aa it is aaid, the transits of heavenly bodies. It is perhaps the most accurate and important instrument used by astronomers. • i86 Origin of the terms Bight and Oblique Ascension. — These terms often occur in astronomical books, but the latter haa now fallen into disuse. They have reference to the times of rising of heavenly bodies, as shown by the ce lestial sphere in what are called its right audits oblique positiona. When the poles are in the horizon, aa is the case when the observer ia on the Earth's equator, the sphere is said to be a right sphere, for then aU the heavenly bodies rise at right angles to the horizon. Fig. 44 representa a right aphere, P and Q being the poles, PBQ the horizon, S' S the circular course of any atar, which is evi dently at right angles to the horizon at the point S', where the atar rises. In . . this caae, the time elapsing between the rising of the first point of Aries and that of the star, was caUed the right ascension, — i. c, the time of the ascension of the star above the horizon in the right position of the sphere. When the poles, P and Q, are not in the horizon, ABC, fig. 45, the stars cross the horizon obUquely when they rise. In such a case the sphere is said to be oblique, and the time of ascension was caUed obUque ascension. 187 Hour Angle. — The angle which the polar circle, P S S', fig. 43, makes at the pole, with the meridian, PE, is caUed the hour angle of the star S', because, if reduced to time, at the rate of 1 hour for 15°, it shows what time must elapse before the atar crosses the meridian. The number of degrees, minutea, and seconds, in this angle, ia evidently the aame as in the arc S' B. 188 Latitude and Longitude ofa Place. — The temis latitude and longi tude, with reference to a place on the Earth's surface, correspond to dechna tion and right ascension, with reference to the celestial sphere. The Earth's surface, supposed to be spherical, is caUed the terresti-ial sphere ; the terrestrial equator is the great circle of the terrestrial sphere, every point of which is 90° from each ofthe terrestrial polea. The latitude of a pomt on the terrestrial sphere is the same thmg as its dechnation ; the longitude the same thing as its right ascension, with this difference, that the longitude is not measured from the first point of Ariea, but from some fixed pomt of the terrestrial equator. 189 But this way of defining latitude and longitude is not sufficiently exact, taking mto account the fact that the Earth's surface is not spherical. Wo must define these terms with reference to the celestial sphere m the fol lowing manner : — ^ Every pliuo on Iho Earth'a surface may bc considered as marked uponthe ASTRONOMICAL TERMS EXPLAINED. 55 celestial sphere, by that point of the celestial aphere which is verticaUy over the place, — i. e., by the zenith of the place. The zenith of London marks the position of London, that of Paris the position of Paris, and so on ; in fact, a correct map of the Earth's surface would be formed on the celestial aphere by marking the zenith of every place, and so tracing out on the celestial sphere the Tanous coasts and boundaries of countries, the Tarious towns, &c. &c., by their zeniths. igo Taking, then, the zenith of a place as the point representing that place on the celestial sphere, we define latitude and longitude aa foUowa : — The latitude of a place is the declination of its zenith ; the longitudo of a glace ia the right ascenaion of its zenith, measured, howcTcr, not from thc rst point of Aries, but from aome particular meridian, such as the meridian of Greenwich. Longitude is not measured from the first point of Aries, because that point is always moving over the Earth'a aurface, and longitude meaaured from it would be an ever varying quantity. 191 In 6e. 46, P and Q represent the polea ; E Z' F, the equator ; G, the zenith of Greenwich ; P G E F, the meridian of Greenwich; Z, the zenith of any other place ; P Z Z' Q, the meridian of the place ; then the arc Z Z' is the latitude of that place, and E Z' is its longitude. 192 The apparent motion ofthe heavens takes place in the direction ofthe arrow, and it must be remembered that the meri diana P Z Q, and P E Q F, must be aup- Eosed to be fixed, whUe aU the heavenly odies appear to be carried round by the circumpolar motion. Since this motion takes place at the rate of 15° per hour, it is evi dent that, if the longitude of the place be 15°,— i. e., if E Z' be 15°, every star wiU cross the meridian of the place, E Z Z' Q, one hour before it croaaes the meri dian of Greenwich, P G E Q ; if the longitude be 30°, every star wUl cross the former meridian two hours before the latter ; if 45°, three hours, and so on, 193 Longitude, thua considered, is measured towards the east, and is caUed east longitude , K measured towards the west, it is caUed west longitude. 194 The Altitude of the Pole at any place shows the Latitude of that place. — For let P, fig. 47, be the pole ; Z, the zenith ; A B C, the horizon ; E B F, the equator -. then E Z is the latitude of the place; E P is 90°, also Z A is 90°; therefore E Z=90°— Z P, and P A^gO" — Z P ; therefore P A=E Z. Now, P A is the altitude of P above the horizon ABC; hence the altitude of the pole is equal to the latitude of the place. 195 The circular arc Z P is caUed the co-latitude, or the complement of the latitude, because with the latitude it makes up or completes 90°. 56 MATHEMATICAL GEOGRAPHY. III. Of Time, Sidereal and Solar. 196 Sidereal Time. — The most accurate obserTations show that the ap parent circumpolar motion of the heaTens is perfectly uniform, always taking place at the rate of 15° m an hour, 15' in a mmute, 15" in a second. ^ Indeed, we may conclude from mechanical considerationa, that the Earth's niotion about its axis, and therefore the circumpolar motion ofthe heavens, is uniform. From thia uniformity of motion, CTery star may be used as a clock to indicate and measure time, proTided we haTe proper instruments for observing the motion of the star. 197 Time, measured by the motion of the stars, is caUed sidereal time; the interval of time in which, a star completes its revolution is caUed a sidereal day; the twenty-fourth part of that interval, a sidereal hour. We muat, of course, choose some particular star or point of the heaTens to mark the sidereal hours by its motion ; the first point of Aries is that fixed upon for this purpose. When the first point of Aries is on the meridian, it is 0 o'clock, sidereal time ; when the first point of Ariea has moved 15° west of the meri dian, it is 1 o'clock, sidereal tune ; when it has gone 30° west, it is 2 o'clock; 90°, 6 o'clock ; 180°, 12 o'clock : 270°, 18 o'clock. Astronomers generally go on from 12 o'clock to 13 o'clock, 14 o'clock, &o., up to 24 o'clock, when a new day commences. 198 Hence the sidereal time at which a star crosses the meridian is evi dently the right ascension of the star expressed in time ; for, as we have shown above, the right ascension of a star, expressed in time, is the number of hours, minutes, and seconda that elapae between the transit of the first point of Aries and the transit of the atar ; therefore, when the star is crossing tbe meridian, the first point of Ariea is that number of houra, minutes, and seconds past the meridian, — ^i. e., the sidereal time is that number of hours, minutes, and seconds past 0 o'clock. 199 Solar Time. — Solar time is time meaaured by the Sun's motion, in the same manner as sidereal time by the motion of the first point of Aries. The interval of time in which the Sun completes his revolution is called a solar day, the twenty-fourth part of it a solar hour. Alao the solar day commences when the Sun comes on the meridian. 200 Hence sidereal and solar time differ in two respects : First. The sidereal and solar days commence at different inatants of time, for the Sun and the firat point of Aries never cross the meridian together, except at the vernal equinox, when the Sun coincides with the first point of Aries. We have already explained the nature of the Sun's proper motion, which carries him backwards among the stars (i. e., contrary to the apparent motion of the heavens) about 1° each day, which corresponds to 4' of time. Let P and Q, fig. 48, represent the poles ; P E Q G, the meridian ; E A G, the equator ; A, the first point of Aries ; S, the Sun ; P S S' Q, the polar circle in which the Sun is, intersecting the equator at S'. Then S and S' wUl croaa the meri dian at the same inatant, and therefore, with respect to solar time, we may consider the Sun to be at S' ; in fact, it will be 0 o'clock, solar time, when S' comes on the meridian, and the solar day wUl be the interval of time in which S' completes ita revolution. 201 The arrow in the figure ahows the direction ofthe apparent diurnal rotation of the heavens, which carries A and S' round and through 15° every hour. But we must remember that, as the year goes on, the point S' is con- MEASUREMENT OP TIME. 57 tinuaUy moving backwards, (i. e., contrary to the arrow,) in consequence of the Sun's proper motion, completing the whole 360° in a year. The distance of S' from A is therefore continuaUy increasing at the rate of about 1° daUy ; for 1° is very Uttle greater than the 365th part of 360°, and therefore the daily increase of the distance, A S', is about P daUy. 202 About the third week in March, S' wUl coincide with A, and there fore, since both points cross the meridian together, it wiU be 0 o'clock, side real time, at the same instant that it is 0 o'clock solar time. In a quarter of a year afterwards, — i. e., in June, A 8' wUl be 90°, or 6", in time ; therefore A' wUl cross the meridian 6 hours before S' ; in other words, it wUl be 6 o'clock, sidereal time, when it is 0 o'clock, solar time. In September A S' wiU be 180°, or 12" in time ; therefore it wUl be 12 o'clock sidereal time, when it is 0 o'clock solar time. In December A S' wiU be 270°, or 18" in time ; therefore it vriU be 18 o'clock sidereal time, when it is 0 o'clock solar time. 203 Secondly. Solar time is longer than sidereal. For since S' moves back about 1° eveiy day, it wiU cross the meridian about 4"" late every day — ^i. e., 4°" later than it would do if it remained stationary in the heavens. It is clear, therefore, that the solar day wUl be about 4" longer than the sidereal day. This may also be ahown by considering what has just been stated — namely, that in a quarter of a year (i. e., 90 days in round numbers) after the equinox, it wiU be 6 o'clock, sidereal time, when it is 0 o'clock, solar time. Hence 90 days, solar time, are equivalent to 90 days and 6 hours, sidereal time ; and therefore, taking the 90th part of 90 days and 6 hours, which is 1 day and 4 minutes, it appears that 1 day solar time is equivalent to 1 day and 4 minutes sidereal time — i. e., the solar day is about 4"" longer than the sidereal day. 204 Apparent and Mean Solar Time. — Solar time, defined as above by the Sun's motion, is not regular and uniform as sidereal time ia. This arises from two causes — first, the oval form of the orbit in which the Earth moTes round the Sun, which makes the Earth moTe sometimes quicker and some times slower, and therefore renders the apparent annual motion of the Sun irregular ; and, secondly, the obhquity of the ecliptic to the equator makes the interval between two aucceaaive tranaits of the Sun acroaa the meridian longer at the aolstices and shorter at the equinoxes. Trom both causea, the day shown by the Sun's motion is sometimes longer and sometimes shorter. It would, of course, be very inconvenient to employ the Sun's motion, suWeot to such irregularities, to mark time ; and yet, for civil purpoaes, it would be quite as inconvenient to use sidereal time — e. g., in March it is two hours past mid-day at two o'clock, sider aal time ; in July, it is two hours before midnight at two o'clock, aidereal time. 205 To obviate these inconveniences, we use for civU purposes, a,nd in astronomical observations also, what ia caUed mean solar time, which is no thing but regulated solar time, the irregularities of the Sun's motion being aUowed for and corrected. The word ' mean' signifies ' average ;' the length of the mean solar day is the average length of the solar day : which is deter mined aa follows : — It is found by observation that the backward motion of the Sun, or rather ofthe point 8', fig. 31, in the interval between two successive transits of the Sun across the meridian, is, taking its average or mean length, not quite 1°, but 59' 8", (we omit fractions of 1" ;) on some days it is greater than this, and on aome daya leaa ; but ita average length in a great number of daya is 59' 8". Therefore, considering the average niotion of the Sun only, and supposing the Sun to be on the meridian now, it is clear that the heavens must turn round 59' 8" more than a complete revolution— i. e., 360° 59' 8", before the Sun comes on the meridian again ; in other words, the average or mean length of the solar day corresponds to a revolution of the heavens through 360° 59' 8", which, expressed in sidereal time, at 15° per hour, 15' per mmute, 15" per second, amounts to 25" 3'" 56i'. Hence it appears that the mean or average 58 MATHEMATICAL GEOGRAPHY. solar day consists of 24" 3'" 56^' sidereal time, and is therefore longer than the aidereal day by 3 minutes 56^ seconds. j- i i. ,, 2o6 A well-regulated clock shows mean solar time ; a sun-dial shows the actual irregular solar time, or, as it is caUed, apparent solar time. 207 Equation of Time.— The equation of time is the number of minutes and aeconda that muat be added to or subtracted from the apparent solar time, or the time shown by a sun-dial, in order to make it equal to, or, as it is said, to equate it to the mean solar time, or the time shown by a clock. The equation of time is sometimes greater and sometimes smaUer ; sometimes it is additive — i. e., to be added to the apparent time — and sometimes it is stib- tractvoe. It is given in the almanac, often in columns headed 'Sun -too slow,' ' Sun too fast,' or ' Clock after Sun,' ' Clock before Sun.' Thus, in White'a Ephemeris for 1849, on March 30, in the column headed ' Clock before 0,' we find 4" 33' ; which meana, that 4"" 33* must be subtracted from the apparent time to get the mean time. Again, on November 4, in the column headed ' Clock after ©,' we find 16"" 16', which means that 16"° 16' muat be added to the apparent time to get the mean time. CHAPTER IV. METHOD OF SOLVING ASTEONOMICAL PEOBLEMS BY CONSTEUCTION ON PAPER, I. Instruments necessary. WE have now sufficiently explained the meaning of astronomical terms to enable us to proceed to the solution of a Tariety of interesting and useftd problems. These problems may be solved in a rough way by means of a pair of globes, and they are the principal problems usuaUy treated of in what is called the ' Use of the Globes.' "rhey may be solved accurately by mathematical calculation, deduced from the formulse and rules of that branch of mathematics caUed ' Spherical Trigonometry.' We shaU now explain a method of solving astronomical problema, which is at the same time simple and exact, and requires no acquaintance with the technicahties of abstract science. AU that is necesaary for the immediate appUcation of this method ia a drawing-board, rule, compaaa, and graduated circle, or protractor, for laying down and measuring angles on paper. 209 If a rough aolution of astronomical problems, such as that attainable by the use of the globes, is aU that is required, these instruments may be of a Tery ordinary description; Fiff 49 a table wUl serve in place of a drawing-board, and a common graduated ruler or brass semicircle wUl answer perfectly weU for laying down and measuring angles. See fig. 49. If, howeTcr, accuracy is required, a good flat drawing-board must be pro cured, and the paper must be atrained upon it, having been previously damped ; the ruler must be perfectly straight, and should be mado of hard metal; the ASTRONOMICAL PROBLEMS. 59 points of the compass must be fine, and one leg ought to have an adjusting- screw, for the purpose of opening the compass with great exactness to any required distance ; and, lastly, the circle or protractor, which is ahown in fig. 49, ought to be capable of measuring j,, ^ p an angle accurately to a minute by meana ° of a Vernier, (which we shaU presently speak about.) Eespecting the protractor, we may observe here that it consists of a ^aduated cttcle, E F G, fig. 50, and an arm P H I Q. which tums round about the centre of the graduated circle, carrying Verniers at G andF; the centre is marked by the intersection of two fine lines, A C and B D, generally drawn on a smaU piece of plate-glass, A B C D, fixed in the middle of the arm ; at P and Q are two fine points, which may be pressed down on the paper so as to mark it aUghtiy ; the line join- mg these points pasaea through the centre of the circle. ** 2IO The use of this instrument ia as foUows : — Suppose it ia required to draw a line through the point C, making an angle of 30° with the hne A B. Place the protractor on the paper with the centre (i. e., the inter section of the two lines dravra on the piece of glaaa) exactly on the point C ; bring the points (i. e., P and Q, fig. 50) exactly over the Une A B ; then, by looking at the graduations on the circle, turn the arm through 30° ; this being done, mark the paper by pressing down the points, and suppose E and D to be the two marks ; then join E and D, and E D wUl be the required line, making an angle of 30° with A B. In Uke manner we might apply the instrument to meaaure the number of degreea and minutea contained m any angle drawn upon the paper. 211 Thia inatrument, if weU made, is capable of great accuracy. We may observe that, by always using the two points and reading off at the two Verniers, we may entirely get rid of any error there may be, either in the position of the centre, or in placing the centre on the point C, fig. 51 ; but we have not space to say anythmg on this head. 212 In using the simple instruments ahown in fig. 49, we have only to place the point M, which la the centre of the graduationa, upon C, fig. 51, and the Une L N on A B ; then by looking at the graduationa we ahau see what angle C D makes with C B. The rnethod we are abont to explain haa the advantage of giving, with great facUity, and without supposing any knowledge of fiigonometry, the means of solving astronomical problems much more accurately than could be done by means of globes. It also gives very aimply the various mathematical formulse employed in aatronomy. 60 MATHEMATICAL GEOGRAPHY. II. Qf Spherical Triangles. 213 We must say a few words, before we proceed, m order to explain what a spherical triangle is, and what its several parts represent. In the same way that an ordinary or plane triangle is formed "^ by three straight Imea drawn on a plane surface, and meeting at three angular points, so a spherical triangle ia formed by three area of great circlea drawn on a spherical aurface, and meeting in three angular points. 214 Fig. 52 represents a s^erical sur face, vrith a spherical triangle, ABC, drawn on it ; A B, B C, and C A represent arcs of great circles ; they are caUed the sides of the spherical triangle. The angles of this triangle showthe indinations of the three sides to each other at their respective points of in tersection ; but we must explain more folly what the a^les of a spherical triangle are. 215 Angles ofa Spherical Triangle. — LetAB „. jj and A C, fig. 53, be any two circular arcs, or other '^ curved Unes meeting at a point. A; then we cannot speak generally of the incUnation of the arc A B to the arc A C, as we could do if they were straight lines, because, being curves, they are differently inclined to each other at different parts. But we may speak ofthe incUnation of these two curves to each other at the point A ; for take two points, D and E, on A B and A C respectively, very near A, so near that the por tions A D and A E may be too smaU for their curvature to be sensible, and we may regard them aa two very smaU straight lines. These two lines make a certain angle with each other, whatever it may be, and that anrfe ia the angle at which the two curves meet each other at the point A. This suffi- '; ciently explains what we mean by the angles of a spherical triangle. 2 1 6 If we produce the two smaU lines A D and A E to any points, F and G, the straight linea A F and A G are reapectively coincident with the two curvea A D B and A E C, in the immediate vicinity of the point A ; these linea are therefore said to touch the curves at A ; A F ia said to be the tangent to the curve A D B at the point A, and A G is said to be the tangent to the curve A E C at the point A. 217 Hence, the angle which the two tangents make vrith each other is the aame thing as the angle which the two curves make with each other at the point A. 218 If A F, fig. 54, be the tangent at any point, A, of a circle, whose centre ia O, it is easy to aee that A F ia perpendicular to the radius A 0 ; for if A D be an extremely smaU portion of the circumference, so smaU that we may consider it a straight line, the tangent A F is simply A D, pro duced to any point F; now aince, in dfeacribing a circle, the point of the compasa alwaya moves per pendicularly to the radius, A D must be perpen dicular to A O, and therefore A F is so also. 219 It is important to remember, that the tangent at any point of a circle is perpendicular to the radius or line di-awn from that point to the centre. We may also observe, that tho tangent always lies in the same plane as the circle. ASTRONOMICAL PROBLEMS. 61 220 A Spherical Triangle com pletely represents a Solid Angle. — Let ABC, fig. 55, be a spherical triangle, O the centre of the sphe rical surface, on which the triangle is drawn, O A, O B, O C, the radii drawn to the angular points ABC. Then AB is a circular arc described with O as centre ; therefore A B reOTesenta or measures the angle A O B, which the two radU A O andBOmake with each other — i. e., the number of degreea, minutea, and seconds in A B, and in the angle A O B are the same, as has been faUy explained in Chapter II. In like manner the circular arc BC shows the angle B O C, which the two radU drawn from B and C make with each other, and the circiUar arc C A, the angle COA, which the two radu drawn from C and A make with each other. 221 Again, if we draw from A the two linea A F and A G, touching the circular area A B and AC at A, the angle PAG which theae two tangents make with each other, is the aame thing aa the angle A of the apherical triangle. But the angle FAG also ahows the inclination of the two planes A O B and A O C to each other, as we may prove in the foUowing manner. 222 By the plane A O B, we mean the plane in which the two radii, A O, B O, the circular arc A B, and of course the tangent A F, aU Ue ; by the plane A O C, we mean the plane iu which AO, CO, the circular arc A 0, and the tangent A G, aU lie. A O is the line of intersection of these two planes, and the tangents A G, A F, are perpendicular to the radius A O. Now the angle at which two planes are inclined to each other ia ahown by drawing from a point in their line of intersection, a line in each plane perpendicular to the Ene of intersection. That this is the case is easilV seen, by marking with a knife a line E F, fig. 56, on a piece of card A B CD, and drawing a perpen dicular Une E P Q in pencU : then turn the two parta A E F D and B E F D about the cut line E P, so as to make them make an angle vrith each other, as in fig. 57 ; and it wUl be immediately seen, that, at whatever angle we incUne Fig.S? Fig. 58 \ A R p a the two planes A E P D and B E F C to each other, the two Unes E P and P Q wUl always make the aame angle vrith each other. But if we draw two lines, P S and P T, not perpendicular to E F, the angle these two Unes make with each other wUl alwaya be leas than the angle at which the two planea are incUned, 223 Hence, retuming to fig. 55, it is manifest, that the angle FAG, or, what IS the same thing, the angle A of the spherical triangle, shows the angle at which the two planes A O B and A O C are incUned to each other. In hke manner we may show that the angle B shows the angle at which the two 62 MATHEMATICAL GEOGRAPHY. planes BOA and B O C are incUned to each other, and the angle C shows the angle at which the two planes COA and 0 O B are incUned to each other, 224 The triangular point O, which ia formed by the meeting of the three planes A O B, B O C, C 0 A, ia caUed a solid amgle, the three planes are called the pla/nes, or faces, ofthe solid angle, and the three Unes O A, O B, O C, are caUed its edges. 225 Hence, it appears, that the spherical triangle ABC representa, m aU its parts, the soUdT angle O, which is formed by drawing radii from the angles ABC to the centre O — namely, the three sides of the spherical triangle, AB, B C, C A, repreaent reapectively the three anglea, AO B, BO C, COA, which the edges, O A, O B, O C, of the sohd an^e make with each other ; and the three angles. A, B, C, represent the angles at which the planea A O B, B O C, C O A, of the aoUd angle are inclined to each other, 1 1 1, Method of representing the different parts ofa Spherical Triangle on Flat Paper. 226 First Construction. — Let ABC, fig, 58, be the apherical triangle, O the centre of the sphere ; draw B F, a tangent to the circular arc B A, at B, and B G a tangent to the circular arc B C at B ; let these tmgents meet O A and O C produced at P and G respectively, and join F G. Then, as we have explained, the angles B O F, BOG, and F O G, are shown by the sides of the spherical triangle — namely, B A, B C, and A C respectively ; also the angle B of the spherical triangle is the aame thing as the angle E B G. Now let us conceive the solid figure O B G F to be formed of four triangular planes of thin board or card— namely, B O F, BOG, B C F, and FOG, fastened together by hinges along the edges OF, O G, and i G, and by a clasp of aome kind at B, so that, if the clasp at B be unfastened, the plane O B F may be turned about the edge O F, the plane O B G about the edge O G, and the plane B G F about the edge F G. Thia being supposed, let the clasp at B be unfastened, and let the planes OBF, OBG, and BFG, be turned about the hinged edges, untU they aU form one plane with O G F, so that the four planes may be laid flat upon the table, as is represented ui fig, 59, where O F G, G B F, and O B' F, and O B" G, represent respectively the planes O F G, G B F, O B F, and O B G, in fig. 58. 227 Hence, fig. 69 represents on fiat paper the three sides and one angle of the spherical triangle — namely, the angles F O B', F O G, and G O B", show the sides A B, AC, and C B respectively, and the angle G B F shows the angle B. It is important to obserTc that the angles O B' F, and O B" G, fig. 69, being respectiTcly equal to O B F and O B G, fig. 58, are right angles, that thelines O B' and O B", fig. 69, being each equal to O B, fig. 58, are of equal length, that G B" and G B, fig. 59, being each equal to G B, fig. 58, are ASTRONOMICAL PROBLEMS, 63 of equal length, and that the aame is true of F B' and F B, fig, 59, which are each equal to F B, fig, 58, Fig.dg 228 We have, therefore, the foUowing construction on flat paper for representing the three sides and one angfo of a spherical triangle, whose angles we shaU denote by A B and C, and the sides respectively opposite those angles by the smaU letters a be. Choosing a point O on the paper, draw the Unes O B', OF, O G, and O B", fig. 60, making angles with each other equal to the three sides a b and c ofthe spherical triangle — i. e., the angles a b and c at O, contain respectively the same number of degrees, minutea, and aeconds, as the sides a b and c of 64 MATHEMATICAL GEOGRAPHY. the spherical triangle. Puttmg one point of the compass at O, strike off O B' and O B" equal to each other ; draw B" G perpendicular to O B , and B' F perpendicular to O B', to meet the Unes O G and O F, at G and F ; with G as centre and GB" aa radiua, and vrith F as centre and FB as radius, deacribe two cu'cular arcs B" D B and B' E B, intersecting each other at the point B, and join B G and B F : then the angle G B F so formed, is equal to the angle B of the spherical triangle. 229 This construction wiU enable us to solve any astronomical problem in which we are concemed, with the three sides and one angle of a spherical triangle. We shaU now give another construction for representing the two other angles of the spherical triangle, A and C, 230 Second Construction. — As before, let A B C be the spherical triangle, and O the centre of the sphere ; draw the lines B E perpendicular to O A, and B F perpendicular to O C ; in the plane O A C, draw E D perpendicular to O A, and F D perpendicular to O C, to meet in D, and join B D. The two planes BED and BED, being thus made perpendicular to the plane O A C, their line of intersection B D wUl also be perpendicular to tiie plane O A C, and therefore to the two lines E D and F D, which Ue in that plane : the two angles B D E and B D F, are therefore each right angles. In this construction E B and E D are perpendicular to O A, the line of intersection of the two planes O A B and O A C, and therefore, as we have previously explained, the angle BED shows the inclination of these two planes to each other, or, what is the same thing, the angle A of the spherical triangle ; the angle B E D is therefore equal to the angle A ; and in like manner, we may show that the angle B F D is equal to the angle C, of the spherical triangle. 231 Now, just as in the former construction, let us suppose the sohd figure OBEDF to be formed by four triangular planes, OBE, OBF, BED, BFD, hinged at their lower edges to the quadrangular plane O FD E, and fastened at B by a clasp. Let tlie clasp be unfastened, and the four triangular planes turned about their hinged edges, until they form one plane with the quadrangular plane O F D E, so that five planes may be laid flat on the table, as is represented in fig. 62, where O F D E is the quadrangular plane, and OFB", OEB', DEB'", DEB, the four triangiUar planes— namely, OFB,OEB, DFB, DEB, m fig. 6L 232 Hence, fig. 62 represents on flat paper the thi-ee sides and the other two angles ofthe spherical triangle — namely, the angles at O show the sides of the spherical triangle, just as m the former construction, and the angles D E B, D F B'", show the two angles A and C. ASTRONOMICAL PROBLEMS, 65 233 It is important to observe, as before, that angles marked thus L> in figure 62, are right angles, because they are respectiTely equal to angles in fig. 61, which we know to be right angles. Also, as before, OB' and OB" are equal, FB" and FB'" are equal, D B'" and D Bare equal, and E B and E B*^ are equal, each pair of lines being equal to O B, F B, D B, and E B, respec tiTely, in fig. 61. 234 We haTC, there fore, the foUowing con struction on flat paper for representing the three sides a b and c, and the other two angles A and C of the spherical triangle. Draw OB', OE, OF, and O B", fig. 63, making, as before, angles, ab c, with each other ; make O B" equal to O B' ; draw B" F perpendicular to O F, and B' E perpendicular to O E, and produce thoae perpendiculars to meet in D ; draw D B'" per pendicular to F D, and D B perpendicular to B D ; with centre F and radiua F B", and vrith centre E and radiua E B' describe two circular arcs, cutting the perpendiculars last drawn in B'" and B, and join B'" F and B E ; then the angle BED wUl be equal to the angle A of the spherical triangle, and the angle B'" F D wUl be equal to the angle C. / Fig. 63 235 This construction ia of considerable importance, and solves a great number of astronomical problema, only in practice it ia much simpler than it appears to be here, stated as it is in all its generaUty. This construction is also of importance, because it gives immediately all tiie mathematical formulse of spherical trigonometry used in the most exact astronomical calculations, 236 Application of the Second Construction to Bight Angled Spherical F 66 MATHEMATICAL GEOGRAPHY. Triangles. — When one of the angles of a spherical triangle is a right angle or 90°, it is caUed a right angled spherical triangle. Suppose C to be a right angle m the second constmction ; then B'" F, fig. 62, is_perpendicular to FD, and therefore, since B'" D is also perpendicular to F D, the two lines B'" F and B'" D coincide ; in other words, the points F and D coincide. Hence the construction becomes what is represented in fig. 64, in which O B' and 0 B" are equal, D B" and D B are equal, E B' and E B are equal, and the angles thus marked, L . are right angles. / / N 237 Hence we have the foUowmg simple constmction for a spherical triangle, one of whose angles, C, is 90°. Draw from O Unes, aa before, fig. 64, making the angles ab c with each other ; make O B" equal to O B', ifraw B" D perpendicular to O D, and B'E perpendicular to O E^ which two perpendiculars produced wiU always meet at a point D of the line O D, when the an^ C is 90° ; with radius D B" and centre D, and with radius E B' and centre E, describe two circular arcs inter secting at B, and join B D and B E ; then the angle B D E wiU be 90°, and the angle BED wiU be equal to the angle A of the spherical triangle. 238 This constmction solves rig.es bh every case of right angled spherical triangles, and merefore, aa wUl ap pear, a great number of practi caUy uaeftU aatronomical problems. We might eaaUy show that this conatmction gives immediatelywhat are known as Napier's Eulea, and obviates the necessity of the use of these rules, which is often very troublesome. 239 Observations respecting the Second Construction. — It sometimes happens, in making the second con struction, that one of the two per pendiculars, B" F and B' E, wnen produced, meets the other in the manner shown in fig, 65, in which case the point D Uea between E and B', or, it may be, even beyond B' in E B' produced. In this case, the construction is precisely the ASTRONOMICAL PROBLEMS. G7 same as before ; we must draw D B'" perpendicular to F D, F B'" equal to F B", and D B perpendicular to E D, making E B equal to E B', There is, however, a caution necesaary respecting the angle A — namely, the angle B E D is not A, but BED' is, where E D^ is D E produced. It is therefore necessary to make the following statement respecting the angles A and B. 240 In aU cases, wherever the point D may faU, the angle A is the angle which the line E B makes with the perpendicular B' E, produced beyond E — ^i. e,, the angle contained between E B and the produced part of the perpendicu lar ; and, in Uke manner, the angle C is the angle which the Une F B'" makes with the perpendicular B" F produced beyond F — i, e., the angle contained between F B'" and the produced part of the perpendicular. No mistake can be committed if it be remembered that the angles A and C are thoae made, not by the perpendiculars, but by the perpendi culars produced. 241 When any of the angles a J c, as for instance a, happens to be greater than 90°, the point E vriU faU on the other side of the point O, as ia shown in fig. 66. In this case, the construction is the same as before, without the least alteration, and the aame rule holda with reference to A and C. A is the angle BED which is contained between E B and the produced part E D of the perpendicular B' E, and C ia the angle B'" F D', which ia contained between F B'" and the produced part F D' of the perpendi cular B" F. 242 We have been particular in diacussing the aecond construction on account of ita importance, but no mistake can be made iftbe following points, which apply to all cases, be remembered. O B' = 0 B", FB" = FB"', D B'" = D B, E B = E B' ; O F B", O F D, O E B', O E D, F D B'", and E D B, are right angles ; The three angles at_0 are the aides of the spherical triangle ; The angle of the spherical triangle wMch is opposite the side B' O E is the angle contained between F B'" and B" F prdduced ; The angle opposite the side B'' O F is the angle con- *- tained between E B and B' E produced. 243 Observations respecting a spherical triangle, two of whose sides are each 90°. — When this is the caae, aa in fig. 67, where b and c are each 90°, it ia important to re member, 1st. that a and A are equal (i. e., they contain the aame number of degreea, minutes, and seconds,) and 2ndly, that B and C are each right anglea. To prove ) c this, let O be the centre of the sphere, and join O A, OB, and O C ; then, aince c is 90°, A O B is a right angle, and aince b ia 90°, A O C is a right angle ; therefore A O, being perpendicular to O C and O B, it is manifest that F 2 Fig. 67 68 MATHEMATICAL GEOGRAPHY. rig. 68 the planes A O B and B O C are at right angles to each other, and that the same is trae of the planes A O C and BOC; wherefore the angles B and C, which show the incUnations of these planes to each other, are right angles; also O C and O B being at right anglea to the intersection O A of the two planes O A B and O A C, the angle COB (which equals a) shows the inclina tion of these two planes — i. e., tiie angle A ; therefore a and A are equal. 244 It ia alao important to remember that, if from any point P of O A we draw P E and P D perpendicular to O A, as is shown in fig. 68, and describe the circular arc D E, (which is a portion of a smaU circle described about the pole A,) then the proportion of the arc D E to the arc B C ia the aame thine aa the proportion of the Une P D to the Une O B. Thia wUl become evident if we consider the arcs C B and E D, to be described hy the points B and D, when we tum the plane O A D B abont the axis O A ; for then if P D is half O B, the point D wUl only move half as fast as the point B, and therefore the arc E D wUl be always half of the arc B C ; in the same manner, if P D be one-third of 0 B, B wUl move three times faster than D, and therefore C B wiU be three times E D, and so on. In whatever proportion, therefore, P D is less than 0 B, the arc E D wiU be less than the arc C B in the aame proportion. See Chapter II. Having now said enough of apherical triangles, we shaU proceed to the solution of aatronomical problema. IV. Solution qf various Astronomical Problems. 245 In the aolution of the foUowing problem, it wiU be necessary to have an Ephemeris, or almanack, with astronomical tables. White's Celestial Atlas, which only costs a shilling, and is published regularly every year, wiU answer every purpose.. Pkoblem I. To find the Time of Sunrise on any given day of the Year. 246 Solution. — Draw a line O B', of any convenient length, fig. 69, and another O E, making the angle EOB' equal to the Sun's north polar dis tance, which is given in the Ephe meris ; and draw B' E perpendicular to O E. Draw O D, making the angle DOE equal to the latitude of tiie place, (which is of course known,) and meeting B' E produced at D. Draw D B perpendicular to E D, to meet a circular arc B' H B, described with E as centre. Measure the angle DEB, and convert it into time, aUowing one hour for every 15° ; then that time is the hour of sunrise, aa ahown by the sun-dial. '''^ .v^^^f"!"^^ \^^\^l^^ '^^' '^^ t^e meridian, A S' C tiie hori zon, P the Pole, 8 the Sun and H S S' K the circle which the Sun describes, (in consequence of the rotation of the heaveua about P,) crossmg the horizon at S'. When the Sun is at K, it ia midday; when at H, nndnight; and when he cornea to 8' he rises ; therefore the angle A P S', being described about P by the polar circle P S m the mterval between midnight lnd sunrise, is, when expressed m time at 15° per hour, the number of hours, minutes, and ASTRONOMICAL PROBLEMS. 69 Fig. 70 seconds between midnight and sun rise, or, what is the aame thing, the hour of sunrise. Now thia angle is the angle at P in the spherical triangle A S' P, in whioh triangle the angle at A ia 90°, the side P S' is the Sun's polar distance, and the side P A ia the latitude of the place (see art. 194.) Hence, employing the second con struction, (as it appUes to a right- angled triangle, art. 236,) supposing A §', AP, and P S' to be a, b, and c, respectively, and therefore the angle at ]? to be A, we obtain immediately the above solution. 248 Example. — On the 2nd of May, 1849, at what hour wUl the Sun riae in London ? Looking in White's Celestial Atlas for 1849, we find — Page 47. Latitude of London, 51° 31'. Page 10. Sun's declination 15° 26' north, and therefore polar distance 74° 34'. , Therefore in fig. 69 we must make BOB' 74° 34', E O D 51° 31', which if we do, we ahaU find the hour of aunrise to be twenty-nine minutes past four, as ahown by the sun-dial. 249 It appears by the Ephemeris, that the Sun is about three minutes after the clock on the 2nd of May, therefore the time of aunrise by the clock wfll be thirty -two minutes past four. 250 If we examine the tables of the hours of sunrise and sunset in the Ephemeris, we shaU flnd that twelve o'clock ia not half way between aunrise and sunset ; the reason of thia ia, that twelve ahown by the clock, is not the same as twelve shown by the dial. Twelve, as shown by the dial, would be exactly half-way between sunrise and sunset, only for the motion of the Sun. In fact, in working out the above problem, we have for simpUcity supposed the Sun to remain fixed in the heavens during FiCT 71 the day. This is not true, and therefore our result ia sUghtly erroneoua. 251 We ahall preaently show that, in con sequence ofthe refraction of Ught bythe atmo sphere, heavenly bodies appear to rise a Uttle before, and to set a Uttle after, they actually come on the horizon. Pkoblem II. To find at what Point^fthe Compass the Sun rises. 252 Solution. — Draw the Unes O B', O E, and O D, (fig. 71,) exactiy as in Problem I., making BOB' equal to the Sun's polar dis tance, EOD equal to the latitude of the place, and B' D perpendicular to O D. Draw D B" perpendicular to O D, to meet a circu lar arc, B'^H B", described about O as centre, at B" Measure the angle D O B", and the result will be the Sun's azimuth at rising, whioh, as we have explained in the previous chapter, shows the point of the compass at which he rises ; for example, if D O B" 70 MATHEMATICAL GEOGRAPHY. be 0, the Sun riaes in the north ; if 45°, in the north east ; if 90°, m the east, and so on. • • j » 253 Proof— In fig. 70, A S' ia the Sun's azimuth at nsmg, and A S' is the tMrd side of the right angled spherical triangle, A P 8', considered in Problem I. ; therefore, employmg the second construction as appUed to a right angled triangle, we find the azimuth in the manner just stated. 254 By means of this problem, or rather, by a mathematical calculation equivalent thereto, the variation of the compass is often found at sea. The magnetic needle does not point truly to the north ; the error is caUed the variation of the compass ; and it is chfferent at different points of the Earth's surface. It is, of course, necessary for the navigator to determine this error, and how it changes as he saUs over the ocean ; thia he doea by observing with the compass at what point the Sun rises, — ^i. e,, the Sun's azimuth at rising ; he then, by means of a mathematical calculation equivalent fo Problem IL, finds what the Sun'a azimuth ought to be, and takes the dif ference between the result and the azimuth obserTcd by the compass ; which difference is manifestly the error or variation of the compass. Problem LU, On a given Day of tlie Year, to find at what Hour any given Star crosses the Meridian. 25,5 Solution. — Look in the Ephemeris for the Sun's right ascension and that of the star; subtract the former from the latter, and the result wiU be the hour (i. e., the number of aidereal hours, minutes, and seconds, after mid-day by the dial) at which the star crosses the meridian. If the Sun's right ascension should happen to be greater than that of the atar, add 24" to the latter before subtractmg. 256 Proof— Let 8, fig. 72, be the Snn; T, the star ; E S' T' F, the equator; P S S' Q and P T T' Q being respectively the declination or polar circles ofthe Sunandafau-. Then S' T', reduced to time, is evidentiy the number of hours, minutes, and seconds between the transits of S and T; but if A be the first point of Aries, A S' and A T* are the right ascensions of 8 and T, and there fore S' T' is the difference between the ri^t as cension of the star and that of the Sun. Hence the truth of the solution is manifest. 257 By adding 24" to the right ascension of a heavenly body, we do not alter its position on the celestial sphere, aince 24" corresponds to 360°, — i. e., a complete revolution. We may therefore, if we please, add 241^ to the star's right ascension, should it happen to be leaa than that of the Sun, in order to make the subtraction of the former from the latter possible. 258 Examples. — At what hour does Arcturus cross the meridian on the 25th of September, 1849 ? Looking in the Ephemeris we find, omitting aeconds : — Eight Aacenaion of Arcturus (a Bootes) , . . Ditto of Sun, (September 25tii, 1849) , 14" 9" 12" 8"" 2" 1"" Difference, Therefore Arcturus crosses the meridian 2" 1"" after apparent noon. 259 We have taken here the Sun's right ascension at mean noon, on the 25th of September, which is given in tho Ephemeris. A smaU correction is necessary in this, to aUow for backward motion of the Sun in the interval between noon and the transit of thc star. ASTRONOMICAL PROBLEMS. 71 260 To determine tho same for the 25th of December, we haTc : — Eight Ascension of Arcturus + 24" 38" 9"' Ditto of Sun (December 25th) . . . 18" 16'" Difference, 19" 53"" Therefore Arctimis crosses the merichan 19" 53"" after apparent noon. Pboblbm rv. To find at what Homr any given Star rises or sets on any specified Day ofthe Year. 261 Solution. — Precisely as in the case of the Sun, Problem I., find what time elapses between the rising of the star and its transit OTer the meridian ; subtract this from the hour of the star's transit found by Problem IIL, adding 24^ to the latter if necesaary ; then the reault is the hour of rising of the star. To find the hour of setting, add inatead of subtracting. Example. — Supposing that we flind by Problem I. that the star's tranait takes place eight hours after its rising, and, by Problem IIL, that on the 1st of August the star crosses the meridian at 4 o'clock ; at what hours does it rise and set ? — 4 -f 24 = 28 4 Subtract 8 Add 8 20 12 Therefore the star rises at 20 o'clock, (four hours before noon,) and sets at 12 o'clock. 262 The hours in these and the preTious examples are sidereal hours, which are a Uttle shorter than mean solar, or the ordinary ciril hours. In round numbers, we may consider that a mean solar hour is ten seconds longer than a sidereal hour. Peoblem V, Ha-aing given the Bight Ascensions and Declinations of two heavenly bodies, to find the Distance of one from the other, in degrees, minutes, and seconds. 263 Solution. — ^Find the polar diatance of each body, (by aubtracting ita declination from 90°, or adding, if the body be south of the equator,) andthe difference of the right ascensions in degrees, minutes, and aeconda ; and then make the foUowing conatmction, fig, 73 : — Draw O B" (of any length) and O F, mak- j-j^ 73 JC mg the angle B" O F ^' equal to the polar dia- b" tance of one body ; and draw B" F at right angles to O B" ; draw alao L M equal to O B", M N perpendicular to L M and L N, making the angle N L M equal to the polar distance of the other body; draw N K equal to B" P, making the angle M N K equal to the dif ference of the right ascensions of the two bodies ; and with centre F, and radiua M K, and with centre O, and radius L N, describe two circular area intersecting at E ; then 72 MATHEMATICAL GEOGRAPHY. the angle EOF being meaaured, gives the required distance between the two bodies, in degreea, minutes, and seconds. 264 Proof. — Let 8 and T, fig. 72, be the two bodies, and join 8 T by an arc of a great circle, which arc is the required distance between S and T; then, in the spherical triangle S P T, (P being the pole,) we have given the two sides P 8 and P T, which are the polar distances of 8 and T, and the angle S P T, which, as we have explained in the previous chapter, is the same thing aa the arc 8' T' (the difference of the right aacensions) on the equator, in degreea, minutes, and seconds. Hence we have given two sides and the included angle of a spherical triangle, and it is required to find the third side, S T. Thia can be done by meana of the first construction ; for, referring to it, suppose a c and B to be given : then, fixing upon any length we please for O B", and therefore O B , we may construct the two trianglea, O B" G and O B' F, and so find the sides B" G and B' F, which are respectively equal to G B and F B ; but B is known, and therefore, having found G B and P B, we can construct the triangle G B F, and so find G F : then, since we have thus determined O G, O F, and F G, we can construct the triangle 0 F G, and BO find the angle b, which ia the third aide of the apherical triangle. This ia exactly what we have done in fig. 73, where the triangles L M N and K M N are the same as the triangles OFB' and F B G in the first construction. 265 We might also solve this problem by the second constmction, by supposing a b and C to be the given quantities, as foUows : — Draw O B", O F, and O E, making a and b equal to the given polar dis tances, and B" F at right angles to O B", making O B" of any lengtii we please : draw F B'", making C equal to the given difference of right ascen sions : measure F B'" equd to F B", and draw B'" D at right angles to B" D : draw D E at right angles to O E, and produce it to meet a circular arc, described vrith O as centre and O B" as radius, at the point B' : then E O B', or c, the required third side of the spherical triangle, is found. Problem VI. Having given the Latitudes and Longitudes of tmo places on the Earth's surface, to find the distance between them in miles. 266 Solution. — Proceed exactly as in Problem V., putting latitude for declination, and longitude for right ascension, and then convert the result into miles, by allovring 69^ mUes for every degree, which wiU give the required answer. 267 It is not necesaary to say anything to prove this, beyond observing that it is found by actual measurement, that a degree of a great circle on the Earth's surface ia about 69^ mUea long. 268 To solve thia problem accurately, we ought to take into account the fact that the Earth's surface ia not an exact sphere ; without, however, going to such a degree of accuracy, thia problem is very useful geographicaUy. 269 We might insert here a great number of useful and important problema, but, as our space is limited, we shall not dweU longer on this sub ject now. The problema given here are chiefly with a view of showing generaUy how the two constructions may be appUed in astronomy. 73 CHAPTER V. OPTICAL PEINCIPLES EEQUISITE IN ASTEONOMY. ALL astronomical obaervations are made through the medium of Ught, and by means of instruments whose construction mainly depends upon optical principles; it is therefore highly important for an astronomer to understand something of the science of optica, in order that he may be able to make the beat use of his instruments, and avoid many errors into which he ia likely to faU from ignorance of the lawa which regulate the tranamission of Ught. It vriU not be possible to dcTote sufficient space here to the fuU dcTelopment ofthe principles of optics ; aU that we can do ia, to explain those phenomena of hght which haTe immediate reference to astronomy, and the laws upon which the construction and use of astronomical instruments depend. We shaU, in the first instance, state eTerything of practical importance relating to the tranamission of Ught from luminous bodies : we shaU then explain briefly the laws of reflection and refraction, the diapersion of Ught into different colours by refraction, and certain other points of practical import ance ; and lastly, we shaU show how these laws enable us to construct instru ments for ascertaining direction, and subdividing space with the greatest possible accuracy. I. Ofthe Transmission of Light from luminous bodies. 271 The transmission of light is not instantaneous. The common and natural notion reapecting the transmission of light is, that it comes from luminous bodies to the eye instantaneously ; but this ia not the case, though the almost inconceiTable speed vrith which light travela is auch, that it might be considered instantaneous, only for the extreme accuracy of astronomical observations, which require us to take account of the velocity of light. 272 The fact that light travela with a certain velocity was ascertained by the Danish astronomer, Eomer (to whom we owe the invention of thc transit instrument) in the foUowing manner. The planet Jupiter ia accompanied by four sateUites, which move round him in the same manner that the Moon does round our Earth, but in shorter periods. As theae bodies revolve round their central planet, they appear to us to move backwards and forwarda on each side of Jupiter, never receding far from him. Sometimes they manifestly pass in fronj; of him, which is Eerceived by their casting ahadows on hia disk ; and at other timea they pasa ehind him, which ia perceiTcd by their sudden disappearance after they have come close to hia disk. Sometimes also they are ecUpsed by their entering the shadow which .Jupiter oasts. AU this may be aeen by means of an ordinary telescope. By watching these ecUpaea, occultationa, and immeraiona, aa they are caUed, of Jupiter's sateUites, we may determine the rate at which they move round him. It is thus found that the foUowing are their respectiTC periods of rcTolution: — The first sateUite completes its rcTolution in about If days. The second SJ „ The third 7 „ The fourth 16f „ 74 MATHEMATICAL GEOGRAPHY. It is important to uotice the shortness of these periods, for upon that fact the discovery of the velocity of Ught in a great measure depended. In little more than a fortnight, it would be possible to ascertain these periods by watching the eclipses and occultations of the sateUites ; in fact, in tiiat length of time the motion of the first sateUite might be completely determined. Having once made out these periods of revolution, we can of course always predict when the eclipses and occultations wiU occur during the lapse of a year or several years ; and this Eomer did. But he found that there was apparently a manifest error in his predictions ; he observed that there was some unaccount able irregularity in the eclipses and occultations ; at one period of the year they appeared always to take place too late, and at another period too soon. AU this seeming irregnlarity was, how ever, explained in the most satisfactory man ner by Eomer, by the supposition that light is transmitted, not instantaneously, but with a certain finite, though very great velocity. The foUowing was his explanation: — 1 Let B and J, fig, 74, represent the Earth and Jupiter revolring in their orbits about the I Sun, S ; and suppose it to be that period ofthe ' year when the Earth is between the Sun and Jupiter, as is shown in the figure. Now, in somewhat more than six months, the Earth and Jupiter wiU have come into the positions shown in fig. 75, the Sun being between Jupiter and the Earth; for the motion of Jupiter being much slower than that of the Earth, the former describes but a smaU portion of his orbit whUe the latter performs half the whole circuit, so that in a Uttle more than half a year the two bodies wiU have come into the position repre sented by fig. 75. Now, Eomer found that, in the position re presented by fig. 74, the eoUpses and occultations of the sateUites appeared to take place eight minutes and thirteen seconds too soon, and in the position represented in fig. 75, they appeared to take place eight minutes and thirteen seconds too late. In fact, auppoaing the motions of the sateUites to have been determined by observa tions made when Jupiter and the Earth were on the same side of the Sun, as in fig. 74, and the eclipses and occultationa to have been predicted from the motiona so determined, it waa found, that in aix months— i. e., when the Earth and Jupiter were on opposite sides of the Sun, as in fig. 75, the ecUpses and occultations took place nearly six teen minutes and a half later than the times predicted. This was immediately explained, by supposing that the light, which couTcyed to the eye, as it were, the intelligence of the ecUpse or occultation haTuig taken place at Jupiter, did not arriTe mstantaneously, but traveUed with a certain Telocity— namely, a Telocity just sufficient to transmit it across the Earth's orbit in sixteen minutes and twenty-six seconds, or in round numbers, a Telocity of twelTe mUlions of miles per minute, the diameter of the Earth's orbit being about 190 miUions of mUes. For on this supposition it is clear, that since the Earth ia fai-ther from Jupiter in the position repre sented m fig. 75 than m fig. 74, by a diatance equal to the ^ameter of the Earth a orbit, tlio eclipse or occultation would be seen sixteen minutes and twenty-six seconds later in tho former position than in the latter, amce the light would take that additional time to travel .across the Earth's orbit when Jupiter nnd the Earth were on opposite sides of the Sun, OPTICAL PRINCIPLES. 75 273 That this is the real cause of the dif ference between the obserTed and predicted ^'g-l^ times of the echpses and occultations, is in a great measure proTcd by making observations on the satelUtes during the whole year. It wiU be found that when the bodies are situated as in fig. 76, where 8 and E are at equal distances from J, the ecUpses and occultations wiU occur eight minutes and thirteen seconds later than in the position fig. 74, the Ught then having to travel an additional distance equal to half the diameter of the Earth'a orbit. And in the intermediate positions which the bodies occupy at different times of the year, it wUl be found that the number of minutes and seconds, which the ecUpse or occultation appears to be later than in the position fig. 74, is always proportional to the additional distance the Ught has to traTel OTcr, in consequence of the Earth being farther from Jupiter than he is in the position fig. 74. 274 Stellar Aberration. — But the Telocity of Ught ahowa itaelf in another curious phenomenon, caUed stellar aberration, which was dis covered by the astronomer, Bradley. Eespecting this subject we have only time to remark, that Bradley found out that the stars are observed to describe every year Uttle orbits in the heavens ; in fact, they always appear to be displaced from their true positions in the direction in which the Earth is moving. For instance, in sprmg the star y Draconis when seen near the zenith, as it vriU be in the south of England, wUl appear to be nearly 20" south of its real position, in summer nearly 20" east, in aut'omn about the same distance north, and in winter about the same distance west of its true place ; at wliich times the Earth is moving southward, eastward, northward, and westward, respectively. Stars 90° distant from the pole of the ocUptic, which it vriU be remembered is about half-way between Polaris and y Dra conis, appear to suffer no displacement when the Earth is moving either directly towards them or from them. In fact, this apparent displacement is foimd to diminish as the distance of the star from the point of the heavens towards which the Earth ia moving diminishea. 27^ Bradley showed that this phenomenon ia completely and aatia- factorUy explained, by auppoaing it to ariae from a combination of the Earth'a motion and the motion of Ught. He waa able to calculate what ought to be the velocity of Ught to give rise to this apparent displacement of the stars, and he found it to be the same as that determined by Eomer from the eclipses and occultationa of Jupiter's sateUites. That the velocity determined by Bradley should agree vrith that given by Eomer from such totaUy different observations and reasonings, is of course a most satisfactory proof of the truth of the hypothesis, that light moves with a velocity of about twelve millions of miles per minute. We have dwelt longer on thia optical fact than we shall do on others, on account of its great importance in aatronomy. 276 The Bectilineal Transmission of Light. — That light ia transmitted from luminous bodiea in atraight Unes or rays, ia ao obrioualy true, that we need not aay much on the aubject. If we make a smaU hole in the shutter of a darkened room, so aa to aUow the sunUght to enter through it, the rectilineal course of the light wUl be made very evident by shaking out some dust from a puff-bag, which wUl be iUuminated by the light. The fact that we cannot see roimd a corner, or through a bent tube, is a famihar proof that light travels in straight lines, and so dso is the shadow cast by any opaque object, which is always exactly the shape traced out by straight lines drawn from the luminous point from which the light comes, through the different extreme points of the object. 76 MATHEMATICAL GEOGRAPHY. 277 Upon this property of Ught depends entirely its use as a means of aacertaming direction. We can teU in what direction an object ia by looking towards it, but we cannot judge, by Ustening to sound, the direction of a sounding body, because sound does not proceed in straight lines or rays. We shaU presently explain fuUy the means by which astronomers ascertain dkee- tion, by means of Ught. II. Inflection amd Diffraction qf Light. 278 But though it be a fact, that in ordinary cases Ught proceeds in rays from luminous bodies, there are cases, often of practical importance, in which light spreads Uke sound. If the sunUght be aUowed to enter a darkened room tm'ough a very smaU hole, (or, what is better, through a lens of short focus placed in front of a hole not quite so smaU,) the shadows cast by it wfll exhibit very curious appearances. 'They vriU be amaUer than they would be if the light entered the room through a hole of moderate size, and of a totaUy different shape if the body casting the shadow be small ; and their edges will be aurrounded by coloured banda and bara, and, wherever there are aharp comers, by beautiful curved fringes. 279 To see these in great perfection, aU that is necessary is a common spy-glass or telescope. Get .a round piece of card the size of the object glass, and cut a hole in the middle, say the size of a shilling, over which gum a Eieoe of sound tinfoU. Then, with a aharp pointed knife, cut carefnUy a small ole in the middle of the tinfoU of any shape, such as a triangle, a square, a cross, a star ; or, with a needle, prick one, or two, or three, or a great number of holea in the tinfoU. Cover the object glass wdth this card, fastening it on vrith a httle bee's wax, or otherwise. Then drop a Uttle globule of mercuiy on a piece of black velvet, and lay it on a table or on the ground in the Sun's rays : in this manner a bright point of Ught wiU be produced. AU that is to be done now is to look at this point of Ught through the telescope, holding it very steadUy, or, what is better, fixing it on some stand, or supporting it on some books. When this is done, the most beautiful optical phenomena wUl be seen, which may be varied by drawing in or out the tube ofthe telescope, or by viewing the globule of mercury at a greater or less distance. 280 We have space here only barely to notice these phenomena, and to state that they arise from the fact that light spreads Uke sound when it enters a darkened room through a very smaU hole. The curious figures and colours are produced by what ia called the interference of Ught, respecting which we caimot say anything here. These phenomena constitute what are caUed the inflection and diffraction of Ught. 281 We have thought it necessary to aUude to these optical facts here, because they often prove a source of aerioua imperfection in astronomical and surveying inatruments, and they often greatly add to the difficnlfy of making certain aatronomical observations. We have seen leveUing tele scopes wnich could scarcely be used, on account of the wires in the focus being so affected by diffraction, as to appear like a number of indistinct bars ; and we are convinced that opticians ought to be more famiUar with this subject than they are. In microscopes of high power, vrith very smaU ohject glasses, the diSraetion completely spoUs the unage formed by the instrument, especiaUy when the object ia Ulummated by a smaU, weU defined luminouB surface, III, Beflection and Befraciion of Light. 282 We have atated that Ught is transmitted from luminous bodies in straight Unes or rays, but this is true only when the Ught passes through vacuum, or through a perfectly uniform transparent medium, — \. e,, either empty space, or apace filled with aome gaaeous, liquid, or sohd matter, which is alf through of the aame conaistenoe and density. The air immediately surrounding the Eai'th's surface may be regni'dcd as a imiform medium, but OPTICAL PRINCIPLES. 77 at some distance upwards from the surface, the density of the air diminishes rapidly as we ascend. Near the Barth's surface, therefore, light pasaes through the air in straight lines, but this is not true except cloae to the surface. 283 Befraciion. — Whenever the density or conaiatence of the medium through which light ia passing changes, the direction in which the Ught moves is altered. In the case of Ught coming from a heavenly body to the eye, the path which the light pursues is continuaUy bending aa the Ught movea on, in conaequence of the continual change of denaity of the atmosphere. When a ray of light enters a piece of glaaa, ita direction ia immediately changed, in consequence of the consistence of the glass being different from that of the air, out of which we auppose the Ught to paas into the glass. The same is true of water, oU, spirit, and of every transparent substance, in a greater or lesa degree. 284 The change of direction whioh a ray of light experiences in paaaing from one medium into another, as, for instance, from air mto glaaa, ia caUed refi-oKtion, or the breaking or bending of the ray, as the word signifies. Ee- fraotion takea place generaUy whenever there is any change in the denaity, conaiatence, or natm-e of the transparent medium through which the Ught is passing. 285 The continual bending which a ray of.Ught from a heavenly body experiences as it is passing through the atmosphere, is oaUed astronomical refraction. This error, as it is called, affects a large and important class of astronomical observations, and it is therefore necessary to understand it, ao as to be able to aUow for it, and ascertain the true direction of the heavenly body from which the ray comes. 286 Beflection. — The refraction of Ught is always accompanied by what is caUed reflection, or a casting back of the light. When Ught is passing from one medium into another, a certain portion of it is always thrown back, or reflected, so that only part of the Ught enters the second medium. In the case of glass, when light enters it from the air, the portion of Ught which Buffers reflection ia smaU compared with that which enters the glass. In the caae of a metaUio medium, such as mercury- or sUver, a considerable portion of the Ught is reflected, and only a very amaU part enters the metal. Glass is therefore said to have a weak reflective power, but mercury or sUver are said to be highly reflective. 287 Lcms of Beflection and Be fraciion. — Let A E P, fig. 77, be any medium, a piece of glaaa for inatance, and let P A be a ray of Ught which, passing out of air, or any other medium, enters the glass at A. Draw B A B' at right angles to the surface of the glass at the point A. The ray P A is said to be incident, — i. e., to faU upon the glass at A, and therefore this ray is caUed the incident ray. The plane in which the ray P A and the perpendi- cnlai BAB' Ue, ia caUed the plane of incidence. When the ray entera the glaaa, it is refracted, and proceeds in a different direction to that in which it was going before ; let that direction be A E, A E' being the former direction P A produced. The broken Une P A E shows the whole course of the Ught, which proceeds in a straight Une from P to A, is broken or refracted at A, and then goes on in a straight line to E. 78 MATHEMATICAL GEOGRAPHY. Fig.'TB Fig. 78 shows a case of reflection. The incident ray PA, instead of going on in the straight dn:ection A E', is thrown back or refiected at A, and proceeds through the air in the direction A Q. A E, fig. 77, is caUed the refracted ray, and A Q, fig. 78, the reflected ray. 288 The first law of reflection and re fraction is this: — The reflected and re fracted rays always Ue in the plane of inci dence ; in other words, the three lines, _ P A, B A B', and A E, fig. 77, and the three i' Unes, P A, B A B', and AQ, fig. 78, always Ue in the same plane, — ^i. e., the incident ray, the perpendicular to the surface, tiie reflected ray, and the refracted ray, aU he in the aame plane. 289 The second law maybe atated in the foUowing manner : — Let PA, A E, and A Q, fig. 79, be the three rays as before ; A B, the surface of the medium, which we shaU sup- Eose to be a plate of glass ; draw 'om any point B ofthe surface of the glass, a perpendicular, C P B D, meeting the incident ray at P, and the reflected and refracted rays produced back wards at D and C respectiTely ; then the second law is, that A D is always equal to A P, and A C ia alwaya about one-half greater than A P, — i. e., three h3.Te8 of A P. 290 Whatever the medium may be, whether glass, or water, or oU, or any other substance, A D ia always exactly equal to A P, and A C always exceeds (or faUa short of) A P by a cer tain fraction of A P. 291 Befr active Index. — The proportion of A C to A P varies with the nature of the substance of which the medium A B E F is composed, and that of the medium out of which the Ught passes into A B E F. This proportion is caUed the refractive index; thus, if A C is always four-thir£ of AP, which is very nearly the case when the medium A B E F is water, and the upper medium air, the refractive index is said to be f . AC may be always found by multiplying A P by a certain number or decimal, de pending on the nature of the two media, and that number is caUed the refractive index. 292 The foUowing table gives the refractive indices of different sub stances, supposing thelight to enter each substance out of vacuum :— OPTICAL PRINCIPLES. 79 Substance. Refractive Index. about ^g»^ Atmospheric air ... . 1-000-294 Water . . . 1'336 about f Alcohol . . 1-372 OU of oUves 1-470 Plate glass . from 1-500 to 1-550 about j Flint glass . from 1-576 to 1-642 Oil of cassia 1-641 Sapphire . . from 1'768 to 1-794 Diamond from 2-439 to 2-755 about f In this table it wiU seem that the refractive index is not always exactiy the same for the same substance ; as, for instance, in the ease of sapphire, in some specimens it is aa high aa 1-794, and in others as low as 1-768. In the case ofglass there is a considerable diversity of refractive index, on account of the Afferent ingredients of which glass is made, and the different propor tions in which they are mixed together. 293 The angle P A B which the incident ray P A makes with the perpendicular B A B', figs. 77 and 78, is caUed the angle of incidence. Tho angle Q A B is, in Uke manner, caUed the angle of reflection, and E A B', the angle of refraction. Since A D is always equal to A P, it foUows that both these Unes are incUned at the same angle to the perpendicular C D ; in other words, the reflected ray makes the same angle with the pei^endicular to the surface that the incident ray does, — i. e., the angle of reflection is always equal to the angle of incidence. 294 Fig. 79 enables us to determine the course of the refracted ray by construction on paper, as foUows :— Having drawn a line A G, to represent the surface, and a perpendicular, B C, from any point of it ; draw P A at the proper inclination to represent the incident ray. Measure A P, and open the compass to once ana a half that distance, supposing the medium to be glass of the lowest refractive power ; then, puttmg one point of the compass at A, describe a circular arc with the other, meeting B C at C, from which point draw the Une CAE through A. This will give A E, the refracted ray. 295 The refractive index, when the Ught passes out of glass into air, is the reeiprocal of that out of air into glass ; that is, if the former be f , the latter is |. This is trae of aU subatancea ; the refractive index, when hght pasaea out of one medium (A) into another (B), is the reciprocal of that ont of B into A. 296 The refractive index is always less than unity, that is, A C is always less than A P, when the light passes out of a denser into a rarer medium. Fig. 80 shows the course of the refracted ray in snch a case. We may aee, by comparing figs. 79 and 80, that when the light paaaes out of a rarer into a denser medium, the refraction, or bending of the ray, is to wards the perpendicular, but out of a denser into a rarer it is away from the perpendicular. 297 If the refractive index, when light passes out of a medium A into a medium B, be multipUed by that out of B into another medium C, the result is the refractive index out of A into C. It 80 MATHEMATICAL GEOGRAPHY. follows from this, that the refractive mdex out of A into C, diTided by that out of A mto B, giTes the refractiTe index out of B into C. Thus, if the refractiTC index out of vacuum into glass be f , and that out of vacuum into water be |, that out of water into glass vriU be | divided by f, that is, f . IV. Dispersion qf light. 298 Index ofBefraetion depends upon Colour. — ^It is found by experiment that the refractive index depends, not only on the media out of and into which the Ught passes, but also on the colour of the light. The refractive index is greater when the colour is orange that when it is red ; it is stiU freater when the light is yeUow, stUl greater when green, greater again when lue, and greatest of aU when violet, 299 White Light Compound. — It is also found that white light, such as the hght of the Sun, or of a candle or lamp, is not simple but compound; each ray of white Ught being a union of aeveral coloured rays, which are usually classed into seTen kinds — namely, red, orange, yeUow, green, blue, indigo,' and Tiolet. Each of these classes includes a Tariety of mfferent shades ; in fact, we may say that in reaUty a white ray of light is compounded of an infinite number of rays of different colour and shades of colour. As we have stated, all these colours have different refractive indices. The foUowing table for different substances wiU show the nature and amount of this diversity of refractive index, Eefeactive Index poe Colour FUnt Glass, Crown Glass. Water. Eed 1-628 1-526 1-331 Orange 1-630 1-527 1-332 YeUow 1-635 1-530 1-334 Green, 1-642 1-533 1-336 Blue . 1-648 1-536 1-338 Indigo 1-660 1-542 1-341 Violet 1-671 1-547 1-344 300 Dispersion of White Light by Befraciion. — Let P A be a ray of white Ught incident at A, on the surface of any medium, say crown glass ; then, in order to find the course of the Ught after it has entered the glass, we must proceed to make the constmc tion already explained, remembering that the different colours which com pose P A have aU different refi:active mdices, as shown in the table we have just given. Thus for red the index is 1-526; therefore if we suppose A P to be 1, and make A C equal to 1-526, AE, which is AC produced, will show the course of the red ray after refraction. In Uke manner, aince 1'647 is the index for violet, if we make AD equal to 1-547, A V, which is AD pro duced, vrill show the course of the violet ray after refraction. In the same way we may find the inter mediate refracted rays, the orange, yeUow, green, &c. Hence it is manifest that the va- OPTICAL PRINCIPLES. 81 rious coloured rays which were united in the white ray P A, wUl, after refrac tion at A, be separated, and pass through the piece of glass in different direc tions ; the red ray A E being least bent out of its original direction P A Q, the violet most, and the intermediate colours in order in an intermediate degree. The white ray P A is therefore, as it were, dispersed as soon as it enters the glass into a set of coloured rays diverging from the point A. In this maimer the dispersion of white Ught is produced by refraction. V, Passage oflight through Plates, Prisms, and Lenses. 301 Passage qf Light through a Plate of Glass or other transparent Sub- stance. — ^By a plate ofglass we mean a piece bounded by plane surfaces which are £araUeI to each other. ,et E F G H, fig. 82, »/ represent a section of snch a piece ofglass at right anglea to the pa rcel pmie aurfaces re presented by E F and GH. Suppose that a ray of Ught P A faUs upon the surface E F at the point A; then the course of this ray in passing through the glass vriU oe as foUows : The ray vriU of course be refracted at A, and inatead of going on in the direction A Q, which ia P A produced, it wiU paaa tMough the flaas m the direction L B, which, as we have stated, is less inclined to the perpendicular to the refracting surface than A Q is. At B the ray wUl pass out of the glass into the air, and therefore again suffer refraction ; but since it passes from a denser into a rarer medium, it vriU be bent away from, not towards, the perpendicular. In fact, the refraction or degree of bending at B, wUl be precisely of the same amount as at A, only it will take place in the opposite direction ; this may be easUy proved by making the proper construction for the refraction at A and B, according to the method we have explained above, remembering that the index of refraction at B is the rcTcrse or reciprocal of that at A. The consequence ofthis wiUbe,that the ray wUl emerge from the glass at B in a direction B E, paraUel to the original direction P A Q ; for whatcTer be the angle through which the ray is bent at A, it vriU be bent through the same angle in the opposite direction at B, and therefore be restored to its original direction. 302 Hence, when a ray of Ught passes through a plate of glass, it vriU emerge paraUel to its original direction, but it wUl suffer a certain degree of lateral displacement — ^i,e„ BE wiU be paraUel to, but not coincident vrith, PAQ, 303 Passage of Light through a Prism. — By a prism we mean a piece of glass or other transparent substance, bounded by plane surfaces which are not paraUel, but inclined to each other at a certain angle. Let BFG, fig. 83, represent a section of such a piece, at right angles to the two plane sur faces which are shown by the lines E F and E G. Suppose that a ray of G 82 MATHEMATICAL GEOGRAPHY. Fig. 83 light P A faUs upon the surface E F ; then the course of this ray in passing through the glass -(viU be as fdlows : The ray, being re fracted at A, WM be tumed towards the per pendicular to the sur face E F, and pass through the glass in the direction A B. At B it wiU suffer a second refraction, and wfll be tumed away from the perpendicular to the sur face E G. The effect of the second refraction wUl be, not to tum the ray back to ita original direc tion, but to make it deviate atiU farther away from it, as is evident from the figure. Thus the ray, instead of going on in the direction A Q, which is P A produced, wUl emerge out of the glass in the direction B E. The effect of the prism here is to tum the ray, not towards the angle E, but towards the thicker part of the prism F G ; and thia ia always the case, supposing the prism to be made of glaaa, or any transparent substance denaer than the air ; the ray wUl always be bent away from the angle ofthe prism towards the thicker part. 304 Dispersion produced by a P-rism. — The two refractions which take place when a ray of hght passes through a prism have the effect of producing a considerable degree of dispersion, and showing the composition of white Ught, and the different refrangibUity of the coloured rays composing it, in a very striking manner. All that is necessary to exhibit the dispersion of Ught in great perfection by a prism is, to aUow a ray from the sun to enter a dark room through a hole or alit in a abutter, and then to intercept it by a prism, and receive the transmitted Ught on a screen, or on the waU or ceiling. Let E F G, fig. 86, represent the prism, P A, the ray from the Sun falling on the surface at A. Suppose the red ray to pass through the prism in the direction A B, and to emerge into the air again in the direction B E j then the violet ray will be more refracted at A than the red, and therefore pass tiirough the prism in a direction A C, more inclined to A Q (A Q being P A produced) than A B is. Again, the violet ray wiU be more refracted at C than the red OPTICAL PRINCIPLES. 83 is at B, and therefore it wiU emerge in a direction C V, more incUned to A Ij tnan ij xt is. Hence, if the emergent Ught be received on a screen Q E V, at some littie distance from the prism, a red spot wUl be seen at E, and a violet spot at V Inthe space mtermediate between E and V wUl be seen the intermediate colours. The order of the colours wUl be as foUows :— Eed at E, Orange, YeUow, Green,Blue. Indigo. Violet at V. The coloured space between E and V is commonly caUed the Prismatic 305 K the sides E F E G of the prism be curved instead of plane, the effect it produces on Ught passing through it wUl be the same— see figs. 84 and 85, which represent prisms with curved sides, and where the course of the light is represented by the same letters as in fig. 86, It ia important to obaerve v the double difference of the effect produced by the two prisma repreaented in figs, 84 sig.sa and 85. lat. The emergent rays B E C V are below A Q (the original direction of the Ught) in fig. 84, and above A Q in .?. - flg. 85. In other words, the light in both cases is bent to wards the thicker aide of the prism. 2ndly. The violet is below the red in fig , „ other words, the yiolet is in both cases on the thicker side of the prism, and the red on the thinner side. 306 The Compound Achromatic Prism. — ^A prism which produces refrac tion vrithout dispersion — ^i. e., one which bends aU the coloured rays equally, IS said to be achromatic — i. e., without colour. A single prism, such as one of those we have just spoken of, cannot be achromatic, as is evident from what we have explained. But by putting two prisms together, as in fig. 87, it is possible to make a compound prism which shaU be achromatic or nearly so. We shaU briefly explain how this is done. The two prisms, E F G and E' F' G', are placed in opposite positions, and therefore produce opposite g2 84, and above it in fig. 85- 84 MATHEMATICAL GEOGRAPHY. Fig.ST R *"-- a F' G' refractions and diaperaiona ; the prism E P G will bend the rays upwards, and throw the violet above the red ; whUe the other prism E' F' G will have the reverse effect. P A B A' B' E representa the course of the red ray through the two priama, the dotted Une A C C V, the course of the riolet, and A Q is P A produced. Now, suppose that the refraction produced by the first pnsm amounts to 10°, and the dispersion to 1°. By saying that the refraction is 10°, we mean that the prism tums the red ray 10° out of its original direction A Q, and by saying that the dispersion is 1°, we mean that the violet ray ia turned 1° more than the red out of its original direction — i. e., that the violet ray ia tumed 11° out of ita original direction. Secondly, suppose that the refraction pro duced by the second prism is 8°, and the dispersion 1°. The effect of the two prisms may be calculated aa foUows : — Eefraction produced by first prism 10° upwards. „ „ by second 8° downwards. Total refraction produced by both priama . . 2° upwards. Dispersion produced by first prism 1° upwards. ,, „ by second 1° downwards. Total dispersion produced by both prisms. . 0° Hence these two prisms wiU produce a total refraction of 2° without dispersion, and so form a compound achromatic prism. 307 Whether it is possible to make prisms which wiU produce such effects as we have here supposed, is a point to be decided by experiment, Newton concluded from some imperfect experiments that it was not possible to do so ; that if the dispersions produced oy the two prisms were equal and opposite, as we have supposed, the refractions would ato be equal and oppo site — that is, that if the total dispersion were nothing, so also would the total refraction ; in other words, he concluded that it was a physical impoaeibihty to obtain refraction without diapersion. From this erroneous conclusion, he gave up all hope of making achromatic telescopes, and turned his attention to reflecting telescopes. 308 ]\&. HaU, a Worcestershire gentleman, and after him the celebrated optician DoUond, found that Newton's experiments were inaccurate, and proved that, by making one of the prisms of ffint glass, and the other of crown glass, a compound achromatic prism might be formed, which would produce a certain amount of refraction without dispersion. 309 Secondary Spectrum. — It is possible in this way to destroy the disper sion, as far as the red and violet rays are concerned ; but this will not, at the same time, answer for the other colours, as, for instance, the red and green. If, on the other hand, the dispersion is deatroyed as far aa regards red and green, it wUl not be quite deatroyed as far as regards red and blue. A com- OPTICAL PRINCIPLES. 85 pound prism, such as the above, cannot be made perfectly achromatic for all the colours ; but by putting three or more prisms together this may be done, at least to a sufficient degree of accuracy. The Ught which pasaea through the compound priam, Ss. 87, wUl therefore exhibit some traces of colour if received on a screen. The slightly coloured spot it makea on the screen is caUed the Secondary Spectrum. 310 Passage of Light through Lenses. — A lens (from lens, a bean) is a circular piece of glass, bounded by two curved surfaces. GeneraUy these surfaces are spherical, and not very much curved, except in a lens of very high power. When the surfaces are convex or curved outwards, the lens is said to be convex ; when inwards, concave. The best way to distinguish between the two kinds of lenses is to say that a convex lens is thicker in the middle than at the extreme parts, and a concaTe thinner. 311 Convex Lens. — ^Fig. 88 represents the passage of rays through a conTex lens, G H K L represents a section of the lens by a perpendicular flane through the middle, G A H showing one of the boimQing surfaces, and i B K the other. A number of rays P G, P E, PA, P F, P H, are sup posed to diverge from a point P, and faU on the surface G A H of the lens. The ray P A, which is supposed to pass through the central part of the lens, wUl not suffer any deviation, but pass straight through the lens in the direction A B Q, which is P A produced. 'Sie reason of this is, that the surfaces of the lens at A and B are paraUel to each other, and therefore the ray passing through the lens in the direction A B, wUl be transmitted in the same manner as if the lens were a plate of glaas vrith paraUel planea. Now, we have ahown in such a case, that the Ught on coming out of the glass vriU resume ita origin 1 direction, and auffer only a shght degree of lateral displace ment (see fig, 82;, The lens is generaUy so thin, that we may neglect taking any account of this lateral displacement, and therefore we have drawn the ray P A B Q atraight through the lens in one unbroken Kne, As we have explained in the case of the prism, the other rays, P G, P E, P F, P H, wUl be bent towards the thicker part of the lens, and tiierefore they wiU emerge from the lens as shown in fig, 88, or aa in fig, 89. 86 MATHEMATICAL GEOGRAPHY. 312 In one case, fig. 88, the lens is supposed to be sufficiently powerful to bend the rays ao as to make them converge towards, or nearly towards, some point Q, on the Une P A produced. In the other case, the lens not being so powerful, the rays are not bent sufficiently to converge to a point in front of the lens, they are only made less divergent than they were before passing through the lens. In fact, if we produce them backwards they wfll meet, or nearly meet, in a point Q, behind P on the hne P A produced backwards. 313 Concave Lens. — Fig. 90 represents a concave lens and the passage of the light through it, the lettera denoting the same things as before. The ray P A which passes through the central part of the lens wUl go on straight without deviation ; the other rays, P E, P F, P G, P H, wUl be bent towards the extreme parts K and L of the lens, which are now thicker than the central part A B. The effect of thia wiU be to increaae the divergence ofthe raya, so that, on producing them backwards, they wiU meet, or nearly meet, at a point Q, in front of P on the hne P A. 314 We have in aU theae cases represented the ray PA as passing somewhat obUquely through the lens ; of course aU that has been said will apply equaUy when P A paaaes perpendicularly instead of obUquely. 315 Focus. — A point in whioh rays of Ught meet is caUed a focus, a name derived from the Latin word signifying ' fire-place,' because objects placed in the focus of a burning lens were set fire to. The point P is caUed the/ociw of incident rays, and the point Q ^e focus of emergent rays. In fig. 88, the emergent rays actuaUy cross at Q ; but in figs. 89 and 90, thia is not the case, the emergent raya proceed, however, just as if they diverged from the point Q, and we may regard Q as an imaginary focus. Q, in fig. 88, is caUed a real focus, and in figs, 89 and 90, a virtual or imaginary focus. 316 Prindpal Focus. Focal Length. — When the incident rays come from the Sun, or any other very distant body, the focus of emergent rays is caUed the principal focus of the lens, and the distance of this focus fixim the lens is caUed the focal length ofthe lens. When the point P is very distant, the raya P G, P E, P A, P F, P H, wUl be incUned to each other at extremely smaU angles, so smaU, that we may consider the rays to be paraUel to each other. We may therefore define the principal focus to be the focus of emergent rays when the incident rays ai'e pai'allel. 317 If paraUel rays faU on a convex lens, as in fig. 91, where the focus P Fig. 91 OPTICAL PRINCIPLES. 87 of incident raya la supposed to be at a great distance from the lens, it is erident, from what has been said, that the emergent rays wiU converge towards a point Q in front of the lens. Hence the principal focus of a convex lens is in front of it, and is a real focus. 318 If paraUel rays faU on a concave lens, aa in fig. 92, the emergent rays vriU diverge, and therefore the principal focus is virtual, and behindthe lens, 319 If the diatance P A be equal to the focal length of the convex Iena, the raya wUl emerge paraUel to each other, as is ahown in fig, 93, where Q is supposed to be at an infinite distance from the lens. That thia wfll be the caae is erident, by supposing the course ofthe Ught in fig. 91 to be reversed — i. e., to come from Q instead of P. 320 If P A be less than the focal length, the rays wiU emerge diverging, and if P A be greater than the focal length, the rays wUl emerge convergmg. 321 Hence we may make the foUovring comparative statement reapecting convex and concave lenses, A convex lens either diminishes the divergence of rays or makes them convergent. We may say that the effect of a convex lens is always to produce a certain degree of convergence, for we may consider that diminishing the divergence ofthe raya is nothing more than producing a certain amount of convergence, which partly deatroya the divergence of the rays, and therefore has the effect of making them less divergent than before. A concave lens always increases the divergence of rays. A convex lens sometimes brings the emergent rays tt) a focus in front of the lens, but a concaTe lens neTcr doea so. A oouTex lens may be used to make diTerging rays paraUel ; a concaTe to make conTcrging rays paraUel. In both cases, the distance from the lens of the point from which the rays diverge, or to which' they converge, must be equal to the focal length of the lens. 322 Achromatic Lens. — A single lens, such as one of those we have just described, produces its effect by refracting the rays just Uke a prism, and ao bending them towards or from the central ray, according as the lens is convex or concave ; but this refraction vriU be accompanied by diaperaion ; the riolet rays wiU always be more refracted than the red rays, and therefore, in the case ofa conTex lens, the Tiolet raya wUl emerge more inwarda — i. e., more towards the central ray, than the red rays do ; but in the case of a concave lens, the violet ray will emerge more outwards than the red. 88 MATHEMATICAL GEOGRAPHY. If, however, we put two lenaea together^ one convex and the other concave", such that the outward diaperaion produced by one may be just equal to the inward dispersion produced by the other, the total amount of dispersion produced by the two lenses in combination wiU be nothing; as in the case of the two prisms above explained. At the same time, by making one lens of crown glass, and the other of fiint glass, there wUl be a certain amount of refraction stUl produced. In this manner the lenses wUl bend the rays sufficiently for practical purpoaea without dispersing them, at least, vrithout any serious amount of dispersion, for there wUI always be some arising from the secondary spectrum. 323 It is usual to put the lenses together as in fig. 94, G H bemg the convex, and K L the con cave lens, the former being made of crown glass, and the latter of flint glass. In the tele scope, the convex lens is always that on which the light first falls, and in the microscope the reverse is the case. The manufacture of achromatic lenses is now brought to great perfection. The difficulties of grinding, polishing, and fitting them properly together are considerable, especiaUy when the combina tion is required to be powerftJ — ^i. e., of short focal length. 324 Spherical Aberration of Lenses. — We have hitherto, in the figures we have given, represented the emergent rays as meeting in one point Q; bnt this is only true approximately ; the extreme rays P G and P H, after paaaing through the Iena, wUl meet the central ray P A B at a point Q', (see fig. 95,) p =» — >- at aome little distance from the point Q, where the intermediate rays P E P F, after emerging from the lens, meet the central ray P A B. In other words, the focus of the extreme emergent raya wUl be a different point from the focus of the intermediate emergent raya. If we suppoae the raysPE and P F to be near the central ray, Q is considered to be the true focus, and Q' is regarded as an erroneous focus. The error in the position of the focus Q', which ought to coincide with Q, is caUed spherical aberration, because it arises from the spherical form ofthe two surfaces of the lens. It is impossible mechanicaUy to grind the surfaces of lenses in any but spherical forms ; but such forma are not thoae which cause the extreme and intermediate rays to be refracted to the same point ; this error or aberration is therefore caused by the spherical forma of the lenaea. 325 In moat casea a convex lens produces a backward aberration of the focus, that is, the point Q' is behind the point Q,, as in fig. 95 ; but a concave lens generally produces a forwai-d aberration, that is, Q' is in front of Q. In other words, ono lens refracts the extreme rays too much, the other too Uttle. FORMATION OF IMAGES. 89 Now, by putting the two lenses together, as in fig. 94, one convex, the other concave, and by giving a proper spherical shape to their surfaces, we make the two opposite aberrations produced by the lenses almost entirely neutralise each other, and so cause all the emergent rays to converge very nearly to the same point. When the two lenses are properly made, the over refraction of the extreme rays by the first lens vriU be counterbalanced by their under refraction by the second lens. In this manner a compound lens may be constructed free from any serious amount of spherical aberration. Such a lens is said to be aplanatic, from the Greek, signifying ' free from error.' Lenses which form the object glass of good telescopes and microscopes, are always made both achromatic and aplanatic. Having now explained briefiy those optical principles which are absolutely necessary to be known by peraons who vrish to understand astronomy prac ticaUy, and to use astronomical instruments, we shaU go on in the next chapter to consider the formation of optical images, by rays passing through a hole or a lens falling on a screen; from which simple, though reaUy instructive caae, we shafl derive the construction of the telescope and microscope, and explain their uses. CHAPTER VI. FOEMATION OF IMAGES— VISION— THE TELESCOPE, MICEO- SCOPE, AND MICEOMETEE-THE VEENIEE. I. Formation of Images by a Hole or a Lens. "rilOBMATION of Images on a Screen by means of a Hole. — Let A B C D, J? fig. 96, represent a box or tube, in one end of which A B is a very small hole H, and at fhe other end a semi-transparent screen C D, made of ground glass, or thin silver paper, or a piece of smooth glass vrith a film of mUk dried upon it. The eye is supposed to look at this screen, and an object G Y is placed before the hole H : then the foUowing effect wiU be produced :— • Supposing for an instant that the object G Y consista aimply of three luminous points, one green, another red, and the third yeUow, which are re presented by G E and Y, reapectively. Then green rays wUl issue in aU directions from G, some of which, proceeding in the direction G H, wUl pass through the hole H, and, going straight on, wUl faU on the screen C D at G', the points G H and & being in the same straight Une. The eye wUl therefore see a smaU green spot on the screen at Gr'. In Uke maimer some of the red rays from E, passing through the hole and going straight on to E', the points E H and E' being in the same straight line, wUl form a smaU red spot at E', which the eye wiU see. In like manner, also, a small yeUow spot wUl be seen at Y', the points Y H and Y' being in the same straight line. Hence the eye wUl see three smaU spots on the screen, exactly sinular to, and at the same relative distances from each other as the points G E and Y of the object, only inverted in position ; in fact, an inverted image or Ukeness ofthe object wUl thus be cast on the screen C D. 90 MATHEMATICAL GEOGRAPHY. Precisely the same reasoning would apply to an object consisting of any number of luminous points, and therefore it foUows, that whatever object i! placed in front of the hole H, a perfectly accurate inverted image of it will be formed on the screen C D. 327 Defect qf the Image thus formed. — The hole H must necessarily be a very small hole, otherwise a distinct image wiU not be formed onthe acreen. This wUl be evident immediately, from fig. 97, in which H is supposed to be large. It vriU be seen in this figure that the red and yeUow raya, after passing Fig. 97 through the hole, get mixed together, and faU nearly on the same part ofthe screen. The consequence of this vriU be, that inatead of two diatinct small apota, one red and the other yeUow, being seen on the screen, as in fig. 96, there vriU be but one large spot seen, consisting of a confusion of red and yeUow. Hence it is manifest that, \)y enlarging the hole H, we make the image on the screen indistinct and confused. Indeed, however smaU the hole may be, there wUl always be a certain degree of indistinctness, arising fi^im the mixture and confusion of rays coming from points of the object very near each other. In fact, a Uttle consideration wiU show that the rays from two points of the object, not farther from each other than a distance equal to the diameter of the "hole, wiU always be mixed together before they reach the screen. Now, this is a serious defect ; for, when the hole is extremely smaU, the Ught that faUs on the acreen becomes too faint, and can scarcely be seen. Hence there is an inevitable fault in this instrument ; the image on the screen is either too faint or too indistinct, and we cannot diminish one imperfection vrithout increasing the other. 328 Use ofa Lens placed in the Hole. — Let us now suppose that we en large the hole, and put a lens in it, as is represented in fig. 98, of sufficient explained, — - ,t . x the lens from Y, to meet the acreen in Y', In Uke manner, if we draw a hne from any other point E ofthe object, through the centre of the Iena, to meet the acreen in E', the rays diverging from E wiU be brought to a focus at E' ; and the same may be said of G, and of every other point of the object. Hence it is evident that an image wfll be formed on the screen of exactly the same size and shape, and as distinct and free from confusion as the image in fig. 96, supposing the hole in that figure to be extremely small. But there wUl be this important difference between the two images: the quantity of light admitted through the lens wiU be very much greater than that admitted through the hole in fig. 96, and therefore, wliUe the image in fig. 98 is per fectly distinct, it will at tho same time bo bright and clear. VISION. 91 The use of a lens is, therefore, moat important ; vrith a good aplanatic and achromatic lens, avery perfect image may be formed on the screen, aa we know by the beautiful photographic pictures which are produced by an instrument of the kind represented in fig. 98. 329 This mstrument ia caUed a camera obscura, or " dark chamber ;" we introduce it here vrith a view to the better explanation of the telescope, and its various uses in astronomy. 330 It is important to observe that the different points of the image are found by drawing straight Unes from the corresponding points of the object, through the cenlre of me lens, to meet the screen ; and from this it foUowa that the image, though inverted, must be accurately simUar to the object. II. Of Vision. 331 The Eye is a sort of Camera Obscura. — A section of the eye is re presented in fig. 99. It is a roimd baU consisting of certain transparent fluids enclosed in an opaque mem brane. In front tnere is a Fig. 9 9 hole H, caUed the pupil, be fore which is a transparent fluid, caUed the aqueous hu mour, enclosed in a ^eUcate membrane, the whole being kept in and protected by a strong homy andtransparent substance, E F, caUed the cornea. Behind the hole H is a very clear lens A B, caUed the crystalline lens, between which and the back of the eye ia another humour, oaUed the vitreous humour. Lastly, C D ia a nervoua membrane, caUed the retina, spread out to form a acreen at the back of the eye : it conaists of a network of fine nerves, which, uniting at a point called the puncium ccecum, form the optic nerve O, by which luminous impressions made on the retina are conTeyed to the brain. The interior surface of the eye is darkened, probably to prcTent stray Ught, by a black substance, caUed the pigmentum nignrni. 332 It vriU be eaaUy seen from this description that the eye is a sort of camera obacura. The pupU H correaponds to the hole in front of the tube in figs. 96, 97, 98 ; the retina corresponds to the acreen C D; and the cryatal- line Iena, assisted by the cornea, which is a sort of lens, aervea, like the lens in fig. 98, to bring the rays to a focus on the retina or screen. The humours in the interior of the eye serve to keep it xn its proper globular shape, though they are also intended to assist in the optical performance of the eye to a certain extent. In fig. 99 the course of rays falUng on the eye from a luminous point E is shown ; a certain portion of these rays are admitted through the pupU or hole H, and, are then caused to conTcrge to a point E' of the retina or screen. In this way cTcry point of an object placed before the eye has a corresponding image on the retina, and therefore an image ofthe whole object wfll be formed on the retina, clearly iuTcrted, as in the case of the camera obscura. The optic neiwe couTcys this image to the brain in some mysterious way, and an idea ofthe external object is thus produced in the mind. 333 It is, of course, necessary that the image* formed on the retina should be perfectly distinct and free from confusion, otherwise no clear idea of the external object could be conveyed to the mind. The lenses in front of the eye— namely, the cornea and crystalline lens, must therefore be just of suffi- * It is enough that a very small portion of the image should be distinct, (namely, that por tion formed at the point of the retina called the foramen centrale.) This appears from the fact that we can see only one point of an object distinctly at a time. 92 MATHEMATICAL GEOGRAPHY. This is represented in cient power to bring the rays to a focus on the retina. fiff. 99 \-^i In fig. 100 is represented the case when the lenses of the eye are too „,..«« ^— -^^^-^ strong, so that they cause the rays to converge too rapidly, and so bring them to a point E', in front of the retma- The consequence of this wriU be, that instead of a point on the retina, we shall have a spot of light of some size, and this vriU destroy the distinctness of the image ; for the different spots which correspond to neigh bouring points of the object, wfll overlap each other, and so be inixed and confusedSrith each other, exactly in the manner we have already explained in speaking of the effect of enlarging the hole in the camera obscura. Art. 327. 335 When, however, the point E ia much nearer to the eye than is re presented in the figure, the rays which faU on the eye from it wUl be very divergent, and it vml require more powerftd lenses to make them converge; therefore, though the lenses were too powerful before, they may not be so now ; in fact, they may be only just sufficientiy strong to overcome the increased divergency of the rays, and make them conv^ge to a point on the retina exactly. Hence it appears that, when the lenses of the eye are too powerful, an object which cannot be seen distinctly at some distance, will become distinctly visible when it is brought sufficiently near the eye. This is the case with short-sighted persons, and therefore such persons have too powerful eyes, which is generally evident by the more than usual roundness of the cornea. 336 In fig. 101 is represented the caae where the lenaea of the eye are too weak, ao that they do not cause the rays to converge vrith sufficient rapidity, the consequence of which ia, that the rays are intercepted by the retina before they come to a focus. This wiU of course produce indistinctness of vision, just as in the former case. When the lenaea are too weak, the object may be made more diatinctly visible by removing it to a greater diatance fi-om the eye, and so diminishing the divergence of the rays, which wUl aUow the weak lenses to produce a greater degree of convergence, and so bring the point E', towards which the rays converge, nearer to the retina. Persons vrith weak lenses are therefore long-sighted, 337 Most eyes are adapted for vision of distant objects, the lenses being only just powerftd enough to bring rays from a distant point to a focus on the retma. But the lenses may be made more powerful by the action of certain muscles, which, by compressing the baU of the eye, and so making the cornea rounder, increaae the power of the cornea, and poasibly that of the crystalline lens also. By the almost involuntary action of these muscles, the eye has a power of adapting itself to near objects ; but generaUy this power of adapta tion ia hmited to objecta not nearer to the eye than six inches, or thereabouts. The eye is perfectly incapable of seeing nearer objects without the assistance of a microscope. THE TELESCOPE. 93 338 It is easy to understand, from what has been stated, how the vision of short-sighted persons is assiated by their looking through a concave lens, for that Iena increasea the divergence of the rays, and has the same effect as if the object were brought nearer to the eye. 339 In Uke manner, it is evident how long-sighted persons are benefited by convex lenses, which diminish the divergence of the rays, and therefore have the same effect as removing the object to a greater distance from the eye- . . 340 It is important to observe here, that it foUows from what we have explained respecting the eye, that a near object and a distant object can never be seen distinctly at the same time ; for it is plain that if the lenses are of the proper power to bring the more diverging rays, which come from a nearer object, to a focus on the retina, they wUl not be of the proper power to pro duce the same effect on the less diverging rays which come from more distant objects. This is a point of some importance in practice. We have now said enough respecting light generaUy, and the formation of images, to enable us to proceed to the two special subjecta we have to con- eider in the present chapter — namely, the telescope as a means of ascertaining direction, and the microscope as a means of measuring minute distances. 1 1 .1 . Qf ihe Telescope as a means of ascertaining Direction. 341 Direction how determined by Sights. — Simple as it may seem at first eight, it is no easy matter to determine and define the direction in which any distant object appeara to be. In a rough way, we might point a atraight rod at the object, and say that that rod showed the direction of the object ; but it is not possible to point a rod in this way with any degree of accuracy. By putting a pair of sights on the rod, the direction of the object may bo much more accurately ascertained. Fig. 102 represents a rod C D, with two %^°^ C\v. ¦*« sights A and B fixed upon it, A being a small hole, and B a larger hole, vrith two cross wires. By looking in such a manner through the hole A, and putting the rod in such a position that the point of intersection of the wires appears to coincide vrith a distant object 8, and at the same time with the centre of the hole, it is evident that we ascertain the direction in which S is seen, for the line joining the centre of the hole and the poifit of intersection ofthe cross wires ahowa that direction. 342 Thia method of ascertaining direction is, however, by no means suffi ciently accurate, for several reasons, and among the reat for thia — that the eye caimot possibly see the hole at A, the cross wires at B, and the object S, aU distinctly at the same time. If the attention be fixed on S, it will be seen ^tinctly, but the cross wires vriU not, and the hole wUl appear quite indis- tmet. Ll practice, the hole at A is often very amaU, and the eye is put quite close to it, in which case the hole is scarcely seen, and only serves to snow the place where the eye should be put. We shaU now show that the camera obscura, above described, affords a most simple and accurate method of determining direction, especiaUy with certain additions, which convert it into a telescope. 343 Direction how determined by a Camera Obscura. — ^We shaU suppose 94 MATHEMATICAL GEOGRAPHY. the camera obscura to consiat of a tube, A BCD, fig. 103, C D being the semi-transparent screen on which the image is formed. At the other end A B, is the lens, which is of the proper power to make the rays which come from a distant luminous point 8, converge to a focus on the screen C D ; but, as we have shown sibove, this lens produces precisely the same effect on the screen as an extremely smaU hole H, only the image formed by the lens is not extremely faint, like that formed by the hole. As we are only concemed vrith the size and shape of the image, and not with its brightness, we shaU for simplicity suppose that there is a hole H, instead of a lens, at A B, the hole representing, in fact, the centre of the lens. On the screen C D there are two fine wires or linea, interaecting each other at right angles ; the use of these Unes is to make, by their intersection, a fixed mark at a particular point of the screen. 344 The imaginary hne drawn from the point of intersection of the two cross wires through the point H, is caUed the line of collimation of the in strument, that is, as we have explained before, the Ime which is pointed or aimed at any distant object, and which is the direction in which that object is seen. 345 Now, we can evidently ascertain, vrith the greatest precision, whe ther the line of coUimation points to any distant point 8, or not ; for we have only to look at the image 8' of the point S, found on the semi-trans parent screen, and see whether it coincides with the intersection of the cross wires or not. If it does, then the line of coUimation must point exactiy to the point S, for, as we have explained above, 8' H and 8 are always in the same straight line, and therefore, if S' is seen at the point of intersection of the cross vrires, it foUows that the point of intersection of the cross wires, the point H, and the point S, are in the aame right line ; or, in other words, the line of coUimation points to 8. 346 K S' were a material point, instead of being a mere optical image, as it is, it would not be possible to see whether S' comcided exactiy with the intersection of the cross wires or not ; for, in point of fact, it is impossible to see with accuracy whether two material points coincide or not ; indeed, two material points cannot coincide with each other. It is altogether different when one point is material and the other only an optical image ; in auch a caae actual coincidence ia possible, and it is easy to see whether mere is actual coincidence or not, especiaUy if we use a microscope to magnify the cross wires, in which case the coincidence of the image S'^of tiie diatant point S, vrith the intersection of the cross wires, may be seen with wonderfiil dis tinctness. 347 The great advantage of the camera obscura, fig. 103, over the two sights, fig. 102, for the purpose of ascertaining the direction of the distant point S, IS now manifest. In ono case the eye nas to look whether two points, THE MICROSCOPE. 95 that are reaUy at some distance fi-om each other, appear to coincide or not, which it is impossible accurately to determine, because the eye cannot see dis- tinotiy two objects at different distances from it at the aame time. In the other case the eye has only to see whether an optical image formed on a screen actuaUy coincides with a mark on that screen or not, which may be done with the greatest exactness. In order, then, to determine accurately the direction in which any distant luminous point 8 is seen, we have only to point the instrument represented in fig. 103 towards S, and move it carefuUy untU the image of S, which vriU be seen on the semi-transparent screen C D, coincides exactly with the point of intersection of the cross wires. Then the line drawn from that point through the point H — i. e., the line of coUimation, must point directly to S. In this manner the direction in which 8 is seen is ascertained, 348 By using a microscope to magnify the cross vrires, this may be done, as we have stated, with extraordinary accuracy. When a microscope is attached to the instrument for this purpose, the whole compound instrument so formed becomes the regular astronomical telescope. We shaU now say a few words respecting the proper kind of microscope, or eye piece, as it is generaUy caUed, which is thus employed. IV. Of the Eye Piece, or Microscope. 349 Simple Microscope. — By looking through a convex lens, placed close to the eye, we may see objects distinctly much nearer to the eye than we could do without such assistance. Now, the nearer an object ia, the larger it appears, and therefore a convex lens thua uaed wiU enable ua to aee an object larger than it can poaaibly appear to the naked eye. To explain this point the better, let us suppoae that the naked eye cannot aee an object diatinctly nearer than aix inches, and that the focal length of the convex lens ia one inen; then, if we place the object at an inch from the eye, andlookthroughthe Iena at it, we shaUsee it diatinctly; for,aswehave explained above, rays diverging from a point whose distance from a lens is equal to the focal length, emerge from the lens paraUel to each other, and therefore are brought to a focua on the retina by the action of the lenses of the eye, as has been stated above. Hence, the effect of the convex lens is simply to enable us to aee an object placed at a diatance of one inch from the eye, which could not be aeen vrithout the Iena nearer than six inches. The result of thia wUl be, that the object wiU appear, when aeen through the Iena, six times larger than when seen by the naked eye. 350 This wiU be seen by comparing figs. 104 and 105 ; in the former, E S, the object, is supposed to be one inch from the eye ; in the latter, E 8 is supposed to be six inches from the eye. The image of E 8 on the retina is found by considering that it is produced by the lenses of the eye, in the same manner aa the image on the aoreen in the camera obacura by the lens in the hole ; and therefore if we suppose H to be the centre 96 MATHEMATICAL GEOGRAPHY. of the lenses of the eye, we have only to draw straight lines from S and B through H, to meet the retina at S' and E', and then S' and E' wiU be the points where the rays from S and E respectively are brought to a point on the retina. This being the case, it immediately foUows, that if E S be six times farther from H m fig. 105 than it is in fig. 104, the size of the image, E' S', wUl be six times greater in fig. 104 than it is in fig. 105. Now, in fig. 104, the eye, imassisted, cannot see E 8 distinctly, because the rays diverge too much, and the lenses of the eye vriU not be poweriW enough to make them converge to the points E' and S' onthe retina. There fore tiie convex lens above spoken of vriU be necessary to make the vision distinct, by helping the lenses of the eye to overcome the great divergency of the rays, and make them converge with sufficient rapidity to form an uncon- fiised image on the retina. 351 A very simple way of showing the truth ofthis account of the manner in which a lens placed close to the eye magnifies, is to look at the object E S, fig, 104, through a pin hole in a card, instead of through a convex lens. The hole, like the lens, wiU evidently diminish the divergence of the rays, and therefore assist the lenses of the eye. Of course the hole greatly weakens the brightness of the image, because it cuts off a great portion of the rays, or rather, aUows only a smaU portion of them to enter the eye ; but still it makes the object distinctly visible, and, as we have explained, magnifies it by enabling the eye to see it so much nearer than it could do without the hole. 352 To try this experiment, it is only necessary to look at smaU print through the hole in the card, placed very close to the eye ; it wUl be found that we may, by so doing, bring the print within a few inches of the eye, and stiU see it distinctly, though it vriU not appear strongly marked, on account of the smaU quanttty of light aUowed to pass by the hole. The card should then be removed, keeping the eye stiU at the same distance from the print, and it wUl be perceived immediately how much the hole assisted in making the vision distinct ; for the moment the card is removed, the print wUl be come utterly confused and indistinct, so that one letter cannot be distinguished from another, 353 A convex lens used in this manner, that is, put close to the eye, is called a simple microscope. It is important to remember that a lens thus used magnifies simply by enabling the eye to get nearer to the object than it could do naturaUy, and this it does by helping the lenses of the eye to overcome the increased divergence ofthe rays. 354 Vision through a Lens not placed close to tlie Eye.—Th&ts is a very important difference in the action of a lens not placed close to the eye, from that we have just explained, as we shaU now show. R,-. Fig.lOe Fig, 106 represents a short tube A B C D, at one end of which is a lenS A B, and at the other a hole H K, not much lai-ger than the pupUof theeye: THE MICROSCOPE. 97 it is caUed the eye hole, the eye being always placed close behind it, as is re presented in the figure. E S is any object placed before the lens at a distance equal to the focal length. The use of the tube A B C D, and the hole H K, ia to keep the eye always at a certain distance from the lens. The course of the rays which enter the eye from the two points E and S is shown in the figure. The rays from E falling on the lens wUl emerge paraUel to each other, or nearly so, because the distance of the object from the lens is equal to the focal length ; but the ray E T, through the centre of the lens, vriU suffer no deviation ; therefore the other rays, after emerging from the lens, wUl be paraUel to E T, and those which are aUowed to pass through the hole wiU enter the eye. To find the rays which pass through the hole, we have only to draw hnes towards the lens from H and K parallel to T E, and all the rays between theae two hnes wUl get through the hole. Hence the rays drawn in the flgure, and those only, wUl get through the hole to the eye ; all the rest wUl be stopped by the tube. The course of the rays from 8 is exactly simUar to that of the rays from E. 355 Now thia being the caae, it is evident that the lens A B discharges a two-fold office. lat. It diminishes the divergence ofthe rays, and so assists the lenaea ofthe eye to make them converge to pointa on the retina. It therefore so far acts in the same manner as the simple microscope. 2ndly. It magnifies the object, not merely by enabUng the eye to get closer to it, but also by bending aU the rays in the manner ahown in the figure. This is a point of considerable importance, as wiU appear more clearly when we come to speak of the teleacope ; for in the telescope the rays, without the action of a Iena thua disposed, would enter the eye almost perpen dicularly, and the image would appear very smaU, or rather, very httle of it would be seen. 356 The degree in which this instrument magnifies the object E S wiU ojipear better by comparing the vision tlirough it vrith vision by the naked eye. In fig. 107, E 8 is supposed to be viewed by the naked eye ; the point O in thia figure, and in fig. 106, representing the centre of the lenses of the eye ; the dotted Unea E' O and S' O are the central rays which enter the eye from E and S produced backwards ; the distance of E' S' from the eye in fig. 106, is supposed to be about one foot, and E S, in fig. 107, is also sup posed to be about one foot from the eye. We aay a foot, becauae at that distance the eye may aee an object distinctly without any axertion ; in fact, in readir^ smaU print, a person vrith good eyes would naturally hold hia book at that diatance, or thereabouta, from the eye. The eye could see an object at aix inches, but not vrithout fatigue. Now, in flg. 106, if we supposed the instrument removed, the points E' and S' would eridently be seen by the eye in the same directions as the points E and S appear to be when seen through the instrument ; in other words, the object E S appears, when aeen through the inatrument, to be of the same size as the object E' 8' seen by the naked eye. As far, then, as apparent size ia con cerned, we may aubatitute the object E' 8' aeen by the naked eye, in place of the object E S seen through the inatrument. Then, since E' S', fig. 106, and E 8, fig. 107, are at the same diatance from O, and aince the images of these two objects on the retina are found by drawing straight Unes from them through O to meet the retina, it is manifest H 98 MATHEMATICAL GEOGRAPHY. that those images wiU be exactly proportional in size to the objects respec- tively. If, for i latance, E' 8' be ten timea E S, the image on the retina in fig. 106 will be ten timea larger than that in fig. 107 ; if E 8' be twenty times E S, the former image vriU be twenty timea the latter, and ao on. 357 Hence the degree in which this inatrument magnifies is obrious ; at the same time we must observe, that the above explanation is to be received merely as a general account of the nature of the magnifying power of the mstm. ment ; for the eye in judging of magnitude is greatfy influenced by a variety of circumstances which we have not time to speak of here. Thia instrument ia the astronomical eye-piece in its simplest form. R' --.. 358 Tlie Compound Eye-Piece. — This is shown in fig. 108. It consists of two lenses instead of one, but in other respects it is exactiy the same as the simple eye-pie(te just explained. It is, however, a much more perfect instru ment, and its optical effect, when weU made, is almost fanltieas. The front lens A B is caUed the field-glass, becauae it enables us to aee a greater extent of the object E 8 distinctly, than we could possibly do vrith the single lens, fig. 106. The extent of the object visible through the instrument is com monly caUed the field of view, and hence the name _/JeW-glass. The lens C D being next the eye, is caUed the eye-glass. The light coming from the object E S is bent by each of the lenses, aa ahown in the figure, and enters the eye as if it came from a larger object E' 8', All that we nave just said respecting fig, 106 applies, therefore, equaUy weU in thia case. 359 How the Compound Eye-Piece is made Achromatic. — One great defect of the single lens, fig. 106, is, that it is not achromatic ; in consequence ofthe different refrangibUity of the different colours, the image seen by the eye is imperfect and confiised, the violet being more magnified than the red, and tiie intermediate colours in an intermediate degree. In the compound eye-piece thia defect ia remedied in the foUowing manner :— il fig. 109, A B and C G are the two lenses, and E D is any ray from the object incident on the field-glaaa at D. This ray is of course separated into its component colours by the dispersion which inevitably accompanies refrac tion (except the lens be compound). The violet ray wul be more bent than the red, so that the former wUl fall below the latter, as is shown in the figure, where D B represents the red ray and D E' the violet. But the consequence of this wUl be, that the violet ray vriU fall on the second lens nearer the central part than the red ray, and therefore so far the second lens wUl produce a less effect on the violet than on the red ray; for the nearer to the central part a ray is incident on a lens, the leas is it bent by the lens. Hence, if the two lenses be at a sufficient distance from THE ASTRONOMICAL TELESCOPE. 99 each other, the fact that the violet is more refracted than the red by the first lens, and less by the second, may lead to a mutual correction between the two lenses— i. e., the under refraction of the second may just correct the over refraction ofthe first. This, it may be shown, wiU take place when the dis tance between the two lenses is half the sum of their focal lengths. When the lenses are so placed, it is found that the red and violet, and the other colours, emerge from the second lens paraUel to each other, and are aU caused to converge to the same point of the retina by the action of the lenses of the eye ; for the lenses of the eye are so far achromatic that they always cause parallel raya, whether of difierent coloura or not, to converge to the same point on the retina. R 360 This eye-piece was the invention of Huygens, but the principle upon which it acts was pointed out by Boscovich. Tn astronomical instru ments this eye-piece cannot be uaed in ita perfection on account of ita being neceaaary to nave the object E S too close to the field-glass, whereby every spot and flaw in that glass is made visible, and spoils the clearness ofthe field of view. To remedy this defect, Eamsden placed the lenses a Uttle closer to each other, and so was enabled to keep the object E 8 at a greater distance from the field-glass. The lenses are each of the aame focal length in Eams- den's eye-piece ; they are also plano-convex — i. e., convex with one side plane, the convex surfaces being tumed towards each other, as is shown in the figure. 361 The compound eye-piece has many other advantages over the simple one represented in fig. 106, chiefly arising from the refraction in the former being divided, aa it were, between two lenses, instead of being entirely effected by one ; but we have not space to say more on the subject, V Ofthe Astronomical Telescope. 362 It wUl now require but a few words to explain the construction of the astronomical telescope ; it is, in fact, nothing more than the camera obacura repreaented in fig. 103, vrith the addition of Eamsden's eye-piece, to enable the eye to see more accurately whether the image of a diatant lumi- noua point, formed on the semi-transparent screen, coincides with the centre of the cross vrires or not. Furthermore, the screen is either removed or made transparent, as its semi-transparency is of no use where an eye-piece is used to view the image and the cross wires, and only has the effect of diminiahing the brightneaa of the image. It would be abaolutely necessary to retain the semi-transparent acreen, if a aimple microscope were used inatead of an eye piece, for without the aemi-transparent acreen the raya that would get into the eye through a lens placed close to it would be only those whioh come from the central part of a distant object, ao that the fleld of view would be ex tremely Umited. But vrith an eye-piece, if the eye-hole is placed in the proper position, the raya from a comparatively great extent of a distant object are Drought to the eye. H a 100 MATHEMATICAL GEOGRAPHY. 363 Fig. 110 represents the astronomical telescope. AEFB is thetube, and C D is me screen, which in the camera obscura above described was semi- transparent, but is now supposed to be perfectly transparent; it maybe a piece of plate glass with two flne cross hnes drawn upon it, or it may be simply a round hole in a piece of brass fixed inside the tube, with two ex tremely thin wires drawn tight across it. At A B is the lens which produces the image ofany diatant object at which the telescope is pointed, which image muat be formed exactly at the transparent screen or hole C D, where the cross lines or vrires are placed. This lens is caUed the Object Glass, and is, of course, achromatic and aplanatic, ao aa to form a perfectly diatinct and well- defined image ofthe object. X ia the point of intersection of the cross lines or .toss wires, which are supposed to be so flme and deUcate that the point X ia defined by them in the most perfect manner poaaible. Two interaecting lines are found to form the beat kind of mark for defining a particular point in the interior of an instrument ¦ these linea are generally at right angles to each other but they are sometimes made to intersect obUquely. Y is the centre ofthe object glass correaponding to the hole H infig. 103, and the imaginary straight hne X Y Z, drawn from X through Y, is the line of collimation, which we have spoken of before. This line is the great and principal thing to be attended to in the instrument. The instrument itaelf is nothing but a contrivance for pointing this Une very accurately towards any particular atar or diatant luminous point. When the line of coUimation points towards any star, an image of tnat atar ia aeen to coincide exactly with X, the centre, or point of mtersection, of the cross wires, and this ia the teat whereby we know whether the line of collimation points in the proper direction or not. G M K L is the eye-piece (Eamsden's) already described, the nae of which is simply to magnify the image of the atar and the croaa wirea, and so enable the eye to judge the better whether that image ia exactly at the point X or not. Thia eye-piece is capable of shding in a tube attached to the large tube, aa shovm in the figure, for the purpose of accurate adjustment, and for adapting the rision to eyes of different powers, 364 It is impOHant to observe that there is no connexion whatever between the line of collimation and the eye-piece ; the eye-piece may not be placed quite straight, or it may distort the image and the wires, which it always does to a certain extent ; but if it shows the image of the star distinctly coincident with the centre of the cross wires, we may be sure that the line of coUimation points exactly to the star, 365 It is also necessary to remark that the cross wirea need not he placed exactly in the middle of the tube, they may be moved a Uttle to one side or the other if necesaary ; though it is better that their intersection X should be as nearly as possible opposite to the centre of the object glass Y, in order that the hne of collimation may be perpendicular to the object-glass, or very nearly so, 366 Adj-usiment and Movement ofthe Cross Wires.~The piece of plate glass on which the cross lines are drawn (or, what is the same thing, the piece of brass with a circular hole, across which the cross wires are fixed) is generally made capable of movement backwards and forwards across the instrument, in the foUowing manner :— THE MICROMETER. 101 C Q D P, fig. 111, represents the piece of plate glass, having the cross linea C D P Q traced upon it. It ia fixed in a flat piece of 6'^^ .p brass N O, vrith a circular hole C Q D P, If there is no piece of glass, the lines C D and P Q are simply wires fixed tightly across this hole. The piece N 0 shdes in a frame of brass ST, A screw U, and a spring ^ W, act upon the piece NO,'' in the manner shown in the figure, so that by turning the head of the screw U, the piece N O is caused to sUde in the frame S T towards S, and by the opposite motion of the screw the spring W acts upon N O, and makes it sUde the opposite way. Sometimes, however, instead of the spring W there is another screw, the counterpart of U, and by means of the two acrewa the piece N 0 ia moved at pleasure, and kept fixed if necessary. The two screws are used instead of the screw and spring, where it is not necessary to move the piece N 0, except occasionaUy by way of adjustment. The frame 8 T pierces the tube of the telescope, and is fixed across it near the eye end, m the manner shown in fig. 112, Fir iia where A B K L is the tele- A ^ Ti scope, A B the object glass, K L the eye-piece, S T the frame ahown in fig. Ill, and U the screw, by whicli the piece N O (fig. Ill) ia moved. In tiiis manner we may, by turning the acrew U one way or the other, move the croas vrires backwards or forwards across the tube ofthe telescope, and so adjust the point of intersection of the wires in its proper position, as wm be explained preaently. VI. The Micrometer. 367 Where it is required to measure the image formed by the object glass, the thread of the screw D is formed with great accuracy, and the motion of N O is made as steady and even as possible. The head of the screw is also graduated, as shown in ^. 113, where T Q E S is a portion of the frame, HE the screw, work- S5g^oi^gli the end T Q of the frame; U A U C IS the head of the acrew, consisting of twoparts— namely, a mUled or grooved cu-cle Ll, which the fingers lay hold of in order to tum the screw, and a graduated P"^ 1 \^^' ^^ graduations bemg shown m the figure on the rim of this cfrcle. D ia the mdex, which ia fixed to the end ofthe frame T Q, and which juat touches the graduated cfrcle, without, however, imped- mg its motion. The acrew in this case does not work exactly in the same manner as that ahown in fig. Ill ; for it is necessary, evidently, that it ahould move the piece N O after the manner of an endless screw— tiiat is, the female acrew ia not in the frame as in flff. Ill, but m the piece N O. In this way the acrew itself does not move in and out wnen it is tumed round. 102 MATHEMATICAL GEOGRAPHY. This is shown in fig. 114, which represents a section of the micrometer;*' where A B C U is the head of the screw, E 8 Q T the frame in wMch the piece N O moves ; the end of the screw pierciiig the piece NO. D is the index, which is attached to the end of the frame T Q. Fig.US 368 a, a, a, a, &c. represent a set of brass points equidistant from each other, proj lc Ling from the upper side E T of the frame. Iliese pointa are seen in the field of view, along with the cross-wires : the use of them is to help in counting the number of tums we give to the screw in any case. When the screw is tumed round, the vertical croaa-wire passes each of theae pointa in suc- cession, and they are placed at such distances, that one tum of the screw makes the vertical croaa-wire move from one point to the next. It is not necessaiy that these points should be placed with great exactness, as they only serve to count the number of turns given to the screw. 369 An example wUl best show the use of this micrometer. We shall suppose that A B and C (fig. 115) are three stars, or rather, images of stars, seen on the horizontal cross- wire, and that we wish to measure thefr relative dis tances from each other. We shaU also suppose that there are 100 graduationa on the head of the acrew, which are numbered 0, 1, 2, 3, 4, &c. in order. Bv means of these graduations, we can teU how mucn we tum the head of the screw ; for every graduittiBn|5 that passes the index D, as we tum the screw, cor responds to the hundredth part of a complete revolution. Suppose now, that we turn the screw until the vertical wire is brought to meet the star A, and that the graduation seen at the index D is ten. Let ns then turn the screw untU the vertical wfre comes to the star B, and suppose that as we do this, the vortical wire passes across four of the points a, a, a, a, and that the graduation seen at D, when the wfre comes to B, is thirty- five. Then it follows, the motion of the wfre from A to B corresponds to four complete tums of the screw, and twenty-five graduations, or twenfy-five hundredth parta of a complete tm-n. In Uke manner, let ua move the wfre from B to C, watehing the points and looking at the graduationa at D, when the wfre comes to C ; and auppose that the number of points the wfre passes across is two, and the graduationa forty. Then the motion of the wfre from B to C corresponds to two complete turns of the screw, and five graduations. Hence it foUows, that the distance AB is to the distance BC as four units and twenty-five hundredth parts of unity to two units and five hundredth parta — that ia, A B is to B C as 4'25 to 205. 370 From this example the use of the micrometer ia manifest. The above is but a rude representation of the simplest kind of micrometer ; there are many details and niceties in the construction, which we could not give without entering into the subject more at length. There ai-e several other kinds of micrometers, nearly aU, however, depending on the principles above explained, and consiating of various contrivancea for meaauring the image seen in the focus of a tclosoope, by meana of tho motion of a graduated screw. THE DIAGONAL EYE-PIECE. 103 Fiff.iie VII. The Diagonal Eye-piece. 371 Before we leave the teleacope, we must mention the diagonal eye- ffljece, which is indispensable in smaU instruments. It is often necessary to look through a telescope at stars near the zenith, and this requirea the head ofthe observer to be placed in a very inconvenient position, except the instrument be so large that a reclining chair may be placed under it, upon the back of which the ob server may lay his head, and look dfrectly upwards with out fatigue. In a smaU instrument it is impossible to do this, and therefore the foUowing kind of eye-piece, oaUed diagonal from its shape, is used. AB C D, fig. 116, represents the tube of the telescope pointed upwards, and F the field-glass ; between the field- glass and eye-glass is placed a plane mirror H E, diago- naUy, so as to reflect the Ught which comes down the tube in a horizontal dfrection towards the eye; then the eye glass E receives thia Ught, and transmits it through the eye-hole to the eye. The only difference between this and the common eye-piece is, that the mirror is inter posed between the field-glass and eye-glass, so as to make the light emerge at right angles to the tube, which arrange ment requires the eye-glass to be placed, not at the end, but at the aide of the tube, as is shown in the flgure. The ray of Ught P F whioh comes down the centre of the tube, is reflected by the mirror in a horizontal dfrection, and enters the eye as if it came from the point Q. It ia evi dent that, aince the eye-piece is only a contrivance for better ascertaining whether the image of a atar coincides with the centre of the croas-wfrea or not, this change in the form of the eye-piece doea not, in any way, alter the nature of the in- a strument, but aimply enables the eye "" *^ * to look at the wfres and image hori zontaUy intead of verticaUy. 372 The diagonal eye-piece is made capable of sUding on or off the instru ment at pleasure, so that it may be used whenever occasion requires it. Good telescopes have generaUy several eye-pieces, or powers, as they are caUed by opticians, of different magnifying power, which may be employed according to the nature of the observations, and the state of the atmosphere. VUI. Of the Astronomical or Beading Microscope. 373 We need say. but little here respecting the misoroscope, as we haTC already stated what the simple microscope is, and the compound miscroscope is precisely the same instrument aa the telescope ; being, in fact, a tele scope, if we may ao use the word, employed to Tiew near instead of diatant objects. Dr. Goring has proposed to call the compound microscope by the name engiscope, which weU expresses its nature, as compared with the telescope ; the former word signifying that which views near, and the latter distant, objects. 374 Tne compound microscope is shown in fig. 117, with the course of the 104 MATHEMATICAL GEOGRAPHY. rays, which come from a near luminous point P, through the instrument. The tube A B C D, tapers towards the object end A B, because the object glass, being of high power, is necessarily smaU. The object glass is of high power, in order that it may be able to OTcrcome the great diTcrgency of the rays coming from an object so near as P, and make them couTerge to a focus at C D, which, as in the case of the telescope, is supposed to be a piece of plate glass with cross lines drawn upon it, or simply a hole in a brass plate vrith cross wires stretched across it. The eye-piece consista of a field-^ass, eye-glasa, and eye-hole, and ia, in fact, preciaely the same that has been described in the case ofthe telescope. In microacopes which are used simply for magnifying, but not measuring, a different eye-piece ia uaed — ^namdy, Huygen's eyo-piece, aboTe aUuded to. 375 This instrument, though precisely the same in principle aa the tele acope, differs from it in one important particular — ^namely, that in the miscro scope, the image formed at CD ia always much larger than the object, whereas, in the telescope, it ia much smaUer. We may ahow this Tery easily as foUowa : — Let A B C D, fig. 118, repreaent the telescope, at least the telescope without the eye-piece, which we do not now requfre to consider ; C D the screen, T the centre of the object glass, and E S a distant object, but which, for want of room on the paper, must necessarUy be drawn near. Then E' 8', the image of E S, formed at C D, is found by drawing straight lines from E and S throilgh Y, to meet C D at the points E' and S' ; from which it ia erident that E' 8' beara the same ratio to E 8 that the length of the tube doea to the distance of E S from Y ; for inatance, if the length of the tube be three feet, and E S be 3000 feet from Y, it is evident that E'^S' vriU be 1000 times smaller than E S. Now, in the telescope E 8 is always a distant object, and therefore the image E' 8' formed by the object glass is always considerably amaUer than the object E 8. In the microscope this ia reversed, aa is evident immediately from fig. 119 ; where the image E' S' is found as before, by di-awing straight Unes from E and S through Y, the centre of the object glass A B, to meet C D at E' and S'. Now, here E S is very close to Y — in some of the good instruments lately made, the distance may not be more that jSjth of an inch* — but suppose we call it an inch, and assume the length of the" ttibe to be aix inches ; tiien it is clear that E' 8' wUl be six times greater than E S. 376 In both the telescope and microscope, the eye-piece magnifies in the manner we have explained; hence, in the telescope, the eye-piece alone ' In tills ciitic the object glass is a triple achromatic, consisting in pairs. of si: : lens altogctlicr, united THE ASTRONOMICAL MICROSCOPE. 105 magnifies, but in the microscope both the object glaas and the eye-piece magnify. 377 From what has been juat explained, it is clear that, cceteris paribus, the magnitude of the image E' 8' in hoth inatrumenta is proportional to the length ofthe tube; the longer the tube, therefore, the greater the magnifying power of the instrument. 378 In the microscope, the size of the image ia evidently increased by bringing the object E 8 nearer to the object glaaa : to do thia, the power of the object glass must be increased, for it must be sufficient to overcome the divergence of the rays, and make them converge to a focus at C D. Now, when the object is placed at a distance from the object glass equal to its focal length, the power ofthe glass is then just sufficient to overcome the divergence of the rays, and cause them to emerge from the lens paraUel to each other : hence, to make the rays converge to a focus at C D, either the object glass must he made a little more powerful, or the object must be moved a Uttle farther from the lens, in order to diminish the divergence of the rays a little. It appears, then, that the distance at which the object must be placed from the object glass of a microscope is a Uttle greater than the focal length of that glass. 379 Great improvements have of late been made in the manufacture of object glasses for microscopes, which are now ground, poUshed, and centred in thefr proper positiona, with perfectly wonderful accuracy. Object glaases are now made of a focal length of x^th of an inch, which are capable of over coming a divergence of 120° in the incident rays, and bringing them to an accurate focus at C D. 380 Till' Beading Microscope. — The astronomical or rearfi»y_ microscope, which is used for readmg and subdividing the graduations in large instruments, is a compound microscope, vrith a micrometer such aa that we have above described. Each graduation of the instrument is generaUy about 5' ; five complete turns of the screw move the wire of the micrometer from one graduation to the next, and the graduated head of the screw ia divided into — suppoae sixty graduations. In this manner each graduation of the screw corresponds to 1 - 381 As the reading microscope ia a Tcry important part of seTeral useful inatruments, we must explain the manner in whioh it ia used. In fig. 120, Kp.120 P Q E 8 T represents a graduated cfrcle capable of moving about its centre O. The graduations are supposed to be cngraTcn on the rim of this circle, as ahown in thc flgure, and they are viewed by a fixed microacope A C. i'he wholo rim P Q E S T is divided into 360 equal parts, and each part sub- 106 MATHEMATICAL GEOGRAPHY. divided into twelve equal parts, so that each of these subdivisions ia the twelfth part of a degree, or 5'. The microscope is furnished with a micrometer and graduated acrew, as above described, the graduated head of the screw being divided into 60, or 120, or 240, or 300 equal parts — say 60, for simphcity. Fig. 121 shows the field of riew of the microscope — ^i. e., what the eye sees on lookmg throiM;hit. mn is a portion of the rim P Q EST of the inatrument seen in the mi croscope, and, of course, greatly magnified; a and b are two con secutive graduations ofthe rim, so that the space a 6 ia the image of 5' of the rim formed in the focus of the microscope , C D is a fixed wfre, paraUel to the graduations a and b, and firmly fixed in the focus ; efiB another paraUel wfre — ^viz., that which is moved by turning the acrew of the micrometer, as above explained. Pointa are seen on the field of view, to help in counting the number of complete tums of the screw, as we have described before. The fltxed wfre c d serves as a mark, and the moveable wfre ef serves to measure the space between this mark and the next graduation a or b. Five complete turns of the screw move e/" from ato b, that is, over a apace of 5'; therefore, one tum movea e foyer a space of 1', and the sixtieth part of a turn movea it over a apace of 1" Suppoae now that the cfrcle P Q E S T is tumed round, and we wish to find out through how many degrees, minutes, and seconds we have tumed it. Let the hinder graduation a, seen in the microscope before moving the rim, he 20° 10', and therefore the graduation b, 20° 15', and suppose that it requfres two turns and four sixtieth parts of a tum of the micrometer screw to make the wire e/move from ato c d; then it is erident that iftbe rim were dirided so minutely aa to show seconds, the graduation opposite the mark c d would be 20° 12' 4"; for a is 20° 10' and it is 2' 4" farther to c d, as shown by the micrometer screw. After the rim has been moved, suppose that the hinder graduation a seen in the microscope is 43° 35', and that it takes three tums and twenty-four sixtieth parts of a turn of the screw to move e firom a to c d; then the graduation of the rim opposite the mark c rf is 43° 38' 24", a bemg 43° 35', and c d beuig 3' 24" farther on. Since, then, the graduation opposite the mark is 20° 12' 4" before, and 43° 38' 24" after turning the rim, it foUows that the difference — namely, 23° 26' 20" — is the nuniber of degrees, minutes, and seconds through which we have tumed the rim. 382 Thus the use of the reading microscope is obvious ; for though the rim is only dirided to 5', we can read off and observe as accurately as if it were dirided to seconds. Now, to diride the rim of a large inatrument accu rately to 5' — that ia, into twelve times 360 exactly equal parts — is no easy matter, and costs a large simi of money ; it is eaay, then, to conceive what it would be to divide it to aeconda — that is, into 60 X 60 X 360 equal parts— if the engraving of such a, number of Unes so close together were possible. Hence the importance of the reading microscope is obrious. THE VERNIER. 107 IX. Ofthe Vernier. 383 We must here briefly describe a very useful contrivance caUed the Vernier, from the name of the inventor, which takes the place of the reading microscope in smaUer instruments, being much leaa expensive. Let P Q, fig. 122, be a portion of the rim of a graduated cfrcle, similar to that we have just described, which we shaU suppose to be divided into 360 equal parts, each part being therefore 1°. In the figure these graduations are ahown from 20 to 27°. C D represents the Vernier, which, m this caae, is supposed to be fixed : it consista of a short graduated piece of brass or other substanee, the graduation extending from f tog, and in the present in atance we ahaU suppose them to be six in number ; the graduated edge of the Vernier Ues as close aa poaaible to that of the rim, without preventing the motion of the rim round ita centre. a' is the mark corresponding to the fixed wfre c rf in the reading micro scope, (fig. 121.) Our object is to fimd what graduation of the rim is exactly opposite this mark. Now, if the graduation a of the rim were exactly opposite a', we should have no difficulty in doing this, for it is manifest that the arrow would then point at 23°; but this is not the case ; a is a Uttle behind a', and before we cau teU at what graduation a' points, we must find what fraction of a degree it is from a to a'. To do this, suppose that the six graduations of the Vernier, from/to g, are exactly equal to five graduations ofthe rim, so that, if/ were opposite 20°, g would be opposite 25°. Furthermore, suppose that the graduation b of the V emier is just opposite 25, then six graduations of the Vernier are equal to 5°, and therefore one graduation is the sixth part of 5° — i. e., 50' — conse quently from a' to b is twice 50' or 100' ; but from a to J is tvrice 60' or 120' ; therefore, from a to a' ia the difference between 120' and 100' — ^that ia, 20'. It appeara, therefore, that the mark a' points to 23° 20'. Hence the principle of the Vernier ia obvious ; it enables us to find at what graduation of the rim the mark a' points, though none of those engraven on the rim may be exactly opposite a'. 384 GeneraUy, to find how far it is from a to a' we have the foUowing rule : — Look for that graduation of the Vernier which is exactly opposite a graduation of the rim ; count on the Vernier what number of graduations it IS from that graduation to a'; multiply 10' by that number, and then the result is the number of minutes from a to a'. 10' in this case is the difference between a graduation of the Vernier and a graduation of the rim, one being 50', the other 60'. In every case the distance from a to a' is found by multt- plying this difference, whatever it may be, by the number of graduations from a' to b. 385 If the Vernier consist of thfrty graduations, and these thirty gradu ations are equal to twenty -nine graduations of the rim ; and further, if the whole rim be divided into twice 360 equal parts, so that each division is half 108 MATHEMATICAL GEOGRAPHY. a degree or 30', then each division of the Vernier wiU be the thirtieth part of twenty-nine half degrees, or, what is the same thing, each dirision of the Vernier wiU be 29'. In this case, suppose that the graduation b of the Ver nier, which is exactly opposite a graduation of the rim, is ten graduations from the mark a'-, then from ato b will be 10 times 30', or 300', and from a' to b vriU be 10 times 29', or 290'; and therefore froma to a' vriU be the difference- that is, 10', In Uke manner, if the graduation b oi the Vernier be tweniy graduations from a', the distances from a to b and from a' to b wUl be respectively 20 times 30', and 20 times 29'; and therefore the distance from a to a' wUl be clearly 20', And, in general, the distance from ato a' wfll always be as many minutes as there are graduations from a' to that graduation ofthe Vernier which is opposite one of the rim. 386 If there be no graduation of the Vemier exactly opposite one of the rim, we must m place of it look for that graduation which is most nearly opposite one ofthe rim. In this case we shall be subject to a small error, not, however, exceeding 30" in the case just deacribed. 387 The graduations of the Vemier are always numbered, beginning from a', as js shown in fig. 123. There should always be a lens or simple Fid 123 microscope attached in some convenient way to the Vemier, in order to mag nify the graduations, and make it more easy to see what graduation of the Vernier is exactly opposite one of the rim, or moat nearly so. 388 The Vernier ahown in fig. 123 is one very frequently uaed ; the rim being dirided into half degreea, and the Vernier into thirty equal parts, which are together equal to twenty-nine half degreea ; and the graduations of the Vernier are numbered, beginning from a'. In thia caae we nave the foUowing simple rule for reading off: — Look for the graduation of the rim (a) which is just behind the mark a' of the Vernier ; look alao for the graduation (b) of the Vemier which is exactiy, or most nearly, opposite one of the rim ; then the number of minutes from a to a' is the number on the Vernier opposite b, and the mark a' therefore points to that graduation of the rim which is the number of degrees, or degrees and a half, shown on the rim at a, together with the nmnber of minutes ahown on the Vernier at b. In this manner, therefore, we read off very quickly the graduation the mark a' points at. In fig. 123, a is supposed to be at 21° on the rim, and J is at 12 on the Vernier ; therefore a' points at 21° 12'. If a were at 26|° on the run, and b at 16 on the Vernier, the reading would be 26|° -f 16', or 26° 46'.* 389 We have now sufficiently explained, for our present pm-poae, those optical principles whioh are most essential to be knoflu in astronomy ; we have also described the two groat instruments, the telescope and microscope, by whioh the eyo ia enabled to judge ao accurately of direction, and measure auch amaU aubdivisions of space. Wc ahaU now proceed to the Transit Tele scope or Instrument. * Tlio graduations in ligs. ]'J2 imd 123 have not been made exactly equal to each other by tlic engraver, but tlie error docs not aflcct the exi'Iauation. 109 CHAPTEE VII. THE TEANSIT INSTEFMENT. I. Description ofthe Transit Instrument. THE Transit Inatrument conaists of a telescope auch aa we have just de scribed, mounted in such a way that the Une of collimation may move freely in a vertical plane, which plane ia generally the plane of the meridian, but sometimes the prime vertical plane, or some other vertical plane suitable to the observer's purpose. The transit instrument may be said to be the most perfect, simple, and useful of aU astronomical instruments : it is capable of the following important apphcations : — 1st. To determine the position of the meridian plane, and therefore the true points of the compaaa, at any place. Znd, To determine the correct time at any place, and so to serve as a regulator of clocks and chronometers, 3rd. To determine the right aacenaion of any heavenly body. 4th. To determiue the longitude of any place. 5th. To determine the latitude of any place. When appUed to any of the four former uses, the instrument ia set in the meridian plane ; but for the latter use it is aet in the prime vertical generally. H Fig. 124 E[ ^D K; 391 The Pivots. — The transit instrument consists of a telescope ABC, fig. 124, attached firmly to a perpendicular axis P Q, which is made of a conical shape on each side, in order to combine strength and lightness. The extremities P and Q of thia axia are cyUndncal, of the aame size, and having no MATHEMATICAL GEOGRAPHY. Fig. 125 the same imaginary axis F G— that is, the imagmary line F G runs exactly through the middle of each (wlinder P and Q, and the cyUndrical surface of each runs exactly paraUel to F G. P and Q are caUed the Pivots oi ihe tranait instrument, and the imaginary line F G is caUed the Axis ofthe Pivots, or, what is the same thing, the Axis ofthe Transit. It is of the utmost importance that these pivots should be correctly made, as the goodness of the instrument depends mainly upon them. Three things are necessary to the perfection of the pivots — ^riz., 1. They must be truly cylindrical. 2, They must have the same imaginary axis. 3. They must be equal in diameter. Hence it is obvious, that not only must great paina be taken by the workmen in turning theae pivots so as to secure the above requisites, but the observer must take care when he uses the instrument to keep the pivots clean, and to preserve them from being indented in the least degree by any blow or rough handling. This caution is given, because it is necessary frequentiy to Uft the pivots off thefr bearings, and put them down again. 392 Bearings ofthe Pivots. — The pivots do not turn in cfrcular holes, as might at first be supposed, because cfrcular bearings are not sufficiently steady, inasmuch aa the cfrcular hole inwMchapivot tuma must always be a Uttle larger than the pivot, to aUow of free motion. Instead, therefore, of cfrcular bearings, the pivots are supported on forks, or Y's, as they are caUed, being of the shape of the letter Y, (see fig. 125,) or something approaching thereto. In fig. 126 is shown the manner in which the pivot P rests on ita forked bearing yy, LMN being the pillar or stand to which the y or bearing is attached. 8 is a fine acrew, which, being turned, givea a horizontal motion to the Y, for the purpose we shaU explain pre sently.* The other pivot Q is supported on a simUar Y and pUlar, only instead of having a fine screw such as 8 to move it horizontaUy, it has one to move it verticaUy up or down. P is caUed the horizontal Y, and Q the vertical Y. 393 The Telescope. — The telescope has cross wfres in the focus such as we have described in the former chapter, which are moved horizontaUy ly a screw D, in the manner we have explained. GeneraUy, in smaU instruments, there are one horizontal wfre and three vertical wfres equi distant from each other, as is represented in fig. 127, but in large instruments there are five, and often seven, vertical vrires. There are three or four eye-pieces of different powers which slide in at C, one of which is * We have represented S aa an ordinary screw with a milled head ; generally, instead ot BUCh a screw, there are two opposing screws, for the sake of greater steadiness, which are worked by a lever. THE TRANSIT INSTRUMENT. Ul always a diagonal eye-piece — see former chapter. When we wish to use the telescope, we must slide in a suitable eye-piece, and move it in or out until the wfres are seen distinctly, and sharply defined. We must then dfrect the teleacope to a atar. and if the star is also seen distinctly and weU defined, the telescope is properly adjusted as far as the focus is concerned ; if not, the wirea in the locus must be moTed in or out tiU the image of the star becomes weU defined. If, on moring the eye a little to one side or the other of the eye-hole, the star appears to keep steadUy on one of the wfres, this shows that the focus is correctiy adjusted. 394 The Stomd and Pillars. — Theae are shown in fig. 130, where P N and QM are the two piUars which support the Y'a and piTots P and Q. A C is the telescope, N M is the base of the atand, which ia generaUy cfrcu lar, and, for greater steadineaa, sup ported on three short legs 8 U and T, which haTC screws for shortening or lengthening them, in order to make the stand as nearly as possible hori zontal, and therefore the piUars Ter tical. The piUars in large fixed in- sfrumenta are made of stone, firmly imbedded in a hard foundation, but in smaU portable instruments they are of metal, finnly braced to the stand N M, so that they may not be capable of shaking or trembUng. 395 Illumination ofthe Wires in the Focus. — At night it is necessary to flluminate the wfres, in order to make them visible. This ia done by means of a lamp L, placed on a atand close to one of the pivots. The pivot ia pierced, and the conical axis is hoUow, so that the Ught from the lamp, pass mg throi^h the hole in the pivot, enters the middle of the tube of the tele scope at E. There is a plane reflector placed diagonaUy acroaa the teleacope tube at E, by which the hght from the lamp ia reflected down the tube to the focus, and in this manner the vrires are iUuminated. The reflector haa a good-sized hole cut in the middle of it, so that it may not intercept any of the Ught which comes through the object-glasa down the tube to the eye. The lamp has a moveable shade, by which the degree of illumination may be diminiahed, which is necesaary when observing faint stars. 396 Object of Mounting the Telescope in this manner. — The object ia, in the firat place, to make the telescope move with great steadiness in a plane ; this is effected by the long axia P Q ; for it is evident that the longer the axia is, the leas effect vriU imperfections in the pivots have in making the teleacope move unevenly. In the second place, the bearings of the pivots are made moveable horizontaUy and verticaUy, by means of fine acrewa, aa above deacribed, in order to place the axia more accurately in any requfred poaition —as, for inatance, in or perpendicular to the plane of the meridian ; the stand is placed in the proper position at first, as nearly as can be judged, and then the further and complete adjustment of the axis is effected by the deUcate motion ofthe screws. 397 The Level. — The tranait instrument ia always accompanied by a Fig. 129 spfrit level, for the pur pose of making the axis perfectly horizontal. The construction and use of the level is as follows : — A B, fig. 129, is a glass tube, sUghtly curved, and 112 MATHEMATICAL GEOGRAPHY. almost, but not quite, fiUed with alcohol, ao that a bubble C D is left in the tube. Thia bubble wUl, of course, always ascend to the highest part of the tube, in whatever poaition it may be held, and so vriU serve as a mark of the inclination of the tube ; for if the inclination be altered, the highest part is. not where it waa before, and therefore the bubble wiU change ita positidft, ; since it must alwaya ascend to the highest part of the tube. The curvature of the tube, as shown in the figure, is considerably ex aggerated, for the purpose of showing the nature of the level ; in practice, the curvature is so smaU that the tube appears quite straight to the eye. The amallneaa of the curvature makea the leaat change of inclination of the tube evident ; for the more nearly atraight the tube ia, the more does the bubble move when the incUnation of the tube is altered. The tube is not made quite straight, because, if it were so, the moment one extremify was elevated in the least degree aboTC the other, the bubble would immediately ; move to the former extremity — in fact, the inatrument would then be too sensitive, and would requfre the tube to be placed always in a horizontal . poaition vrith a degree of exactneas not attamable in practice. This is the reason why a sUght curvature is given to the tube. 398 The line C D joining the extremities of the bubble wUl be always horizontal if the tube be of uniform bore and curvature, otherwise, in conse quence of capUlary attraction, thia wUl not be the case. However, the hori- zontaUty of this line is not by any meana essential, for the principle of the instrument consista in this, that any change in the inclination of the tube to the horizon wiU be immediately shown by the motion of the bubble. 399 Hence we have the foUovring conclusion upon which it wiU be seen the use of the level depends — ^riz., that if the bubble does not move when we change the poaition ofthe tube, it foUowa that the incUnation of the tube to the horizon has not been altered by the change of poaition. 400 The tube is fixed in a S frame of brass A B, shown in r. .^ fig. 128 ; the upper part ofthe c >_<¦ J \\\B frame is open so as to snow the upper surface of the tube; , on the top is a straight scale F G, marked with a number of equidistant vertical Unes, the use of which is to enable the observer to note the position of the bubble vrith accuracy. The frame A B has two legs A C and B D of equal length, and cut at the bottom in the shape of invertedTY's, for the purpose of being placed upon the pivots ofthe fransit instrument, the distance from C to D being the same as the distance between the two pivots, ao that C may reat on one pivot, and D on the other. 401 From what has been above stated, it foUows, that if we place the level vrith the legs C and D upon a rod or axis P Q, in the manner ahown in fig. 133, and note the place ofthe bubble by looking at the scale FG; and Fig.ia.-i F a i J^ ^ ¦J ^ .-. r c D tiiis being done, if wo change the position ofthe level by placing the leg C at tho end Q, and D at P, and again note the place of the bubble; then, if the bubble is not in the same place as before, one of the extremities of the THE TRANSIT INSTRUMENT. 113 rod P Q must be higher than the other ; but, if the place of the bubble is un changed, the extremities must be exactly on the same level, and therefore the rod ia horizontal. Thia ia manifeat : for, if one of the extremitiea, P or Q, be higher than the other, the above change in the position of the level evidently changes ita inclination to the horizon, and therefore the bubble must move ; but if one extremity of the rod is not higher than the other, then the change of position does not alter the incUnation of the tube to the horizon, and there fore the bubble does not move. n. Examination and Adjustment ofthe Transit Instrument. 402 Examination ofthe Transit. — It is very important that an observer should be able to examine anew instrument he is about to purchase, to deter mine whether it is accurately constructed or not, and an inatrument which has been for aome time in use, to discover whether it has suffered any injury. The first thing to be looked to is the steadiness of the stand and piUars on which the instrument rests : they should be weU braced together, and the three screws, or short legs on which the whole stands, should turn tightly, and be perfectly free from any tendency to shake. The Y's should be made with great care, and of hard material, and thefr motion should be smooth and steady. The telescope shouldT^e strongly supported and well balanced, so as to rest at any inclination, and to be eaaUy turned about the pivots. The wfres in the focua ahould be seen aharply and diatinctly defined when the telescope is pointed towards the edge of a tolerably bright distant object by dayUght, Sometimes, owing to bad workmanship in the object-glass or eye-piece, and to the eye hole being too large and too near the eye-glass, the vrires appear to be doubled or frebled, and very indistinct, and uo adjustment of the focua wiU make them appear sharp and single. This defect arises from Interference or Dif fraction, and may sometimes be remedied by diminishing the eye-hole, which need not be larger than the pupU of the eye, and ought to be exactly in its proper place. The vrires should move perpendicularly across the tube of the telescope when the screw which moves them is turned. If they continue to appear weU defined when the screw ia turned, thefr motion is correct. 403 Examination ofthe Pivots. — Iftbe pivots are imperfect in any way, the instrument ia good for very Uttle. To test the pivots, place the level on them in the manner represented in fig. 127 (bis), and turn the telescope slowly and careftdly round, watching the bubble aU the time ; then, if the bubble keeps steadUy in the same position, we may be sure that the pivots are truly cyUndrical, and have the same imaginary axis ; at least, if there bo any inequaUty in the shape of one pivot, there must be precisely the same in the other, and the two errors destroy each other. Of course the pivots ought to be cyUndrical, and they may always be so made ; but corresponding and exactly equal deviations from the cyUndrical form in each pivot would not 114 MATHEMATICAL GEOGRAPHY. affect the performance of the transit inatrument. That auch equal imperfec tions should exist is, of course, a scarcely possible accident, and therefore we may conclude that, if the bubble does not move as the telescope is turned slowly round, the pivots must be cylindrical and conaxial, if we may use the word in imitation of ' concentric' 404 But it is necessary also that the pivots should be of exactly the same size ; the reason why wiU appear when we come to apeak of the adjustments of the instrument. To examine this point, place the level as before, the leg C on the pivot P, and D upon Q, (see fig. 127, bis,) and note the position of the bubble ; then raise the level off the pivots, and, taking up the telescope, carefuUy reverse the pivots, that is, place the pivot P on the Y upon which the pivot Q rested before, and Q on the Y upon which P rested before ; P wUl then be on the side M, and Q on the side N. Haring done this, put the level again on the pivots in the same poaition as before ; that is, the leg C on the aide N, and D on the aide M, so that now the leg C wUl reat on the pivot Q, and D on P. Then note the position of the bubble, and if it remains exactly where it was before, and continues in that position when the telescope is turned slowly round, we may be sure that the pivots are of exactly equal size. 405 It might be easier to test the equality of the pivota otherwise, hut the method just described ia that most suitable with reference to the use of the equaUty of the pivots. In fact, it is necessary often to reverse the pivots, and it is on thia account that their equaUty ia a matter of importance ; other- wiae they might differ in aize without cauaing any error in the performance of the instrument. 406 Hence the goodness of the pivota is completely tested by the fol lowing methods of examination, viz. : — 1. Place the level on the pivots, turnthe teleacope slowly round, and wateh the bubble. 2. Eeverse the pivots (but not the level) and note the bubble again as the telescope is turned slowly round. If in both cases the bubble remains unmoved, and in exactly the same place after the reveraion of the pivota as before, then we may place perfect reUance on the accuracy and equaUty of the pivots. III. Adjustments ofthe Transit Instrument. 407 We have not space to say more respecting the examination of the transit instrument than what haa been juat stated. It ia highly important for an observer to be able to examine an instrument, and determine whether it has any imperfections or errors which ought not to exist, and which he has neither the skiU nor the means to correct. Such errors are those just alluded to, which it is the part of opticips . K and not the observer to correct, and which completely spoU the performance of the instru ment. But there are other errors, which the observer and not the optician must get rid of, and which requfre repeated correction. These are usuaUy called the Adjustments of the tran- Q sit inatrument. J^^^^ ¦'- 408 Adjusimentof the Line of Collimation. O —In fig. 130 (bis), A B is the telescope, P and Q the piTots, and F G the imaginary axis of the pivots; then, the pivots being supposed to be perfectly cyUndrical and conaxial, it w manifeat that the Une F G remains unmoved when the telescope is turned about "the pivota. Now H K, the line of coUimation, ought to be THE TRANSIT INSTRUMENT. 115 perpendicular to this line, in order that it may move accurately in the same plane ; for, if it be not at right angles to H K, it wUl describe a conical and not a plane surface. It is neceaaary, therefore, to adjuat the Une of coUima tion 80 that it may be perpendicular to the imaginary axis F G about which it turns. To do this we must remember that by turning the screw D, we move one extremity of the line of coUimation ; for the Une of collimation is that line which ia drawn from the point of interaection of the cross wirea through the centre of the object-glass, and by turning the screw D we may moTe the cross wfres either to the right or to the left at pleasure, and ao place them in any requfred position. Hence we only requfre a method or test for determining whether H K is perpendicular to F G or not. The following simple method ia the moat accurate that oan be employed :— 409 Beversion a test of Per - pendicula-rity. — Suppoae P Q and A C, fig. 131, to be two rods fixed together, not quite at right angles to each other, the extremity A of the rod A C being a Uttle on the right ofthe true perpendicular E S. Let us now reverse the extre mitiea P and Q — that ia, let us take up the rods and tum them over, ao as to place P where Q was before, and Q where P was before ; which, being done, it ia clear that the rod A C wUl now he in the position A' C, the extremity A' being as much to the left ofthe tme perpendi cular E S as A was to the right of it. ThuaPQACrepresentthe rods in one position, and P' Q' A' C in the reversed position, the line E S, which is perpendicular to P Q, being exactly half- way between AC and A' C'. Hence this reveraion ia a test by whioh we can determine practically whether A C is perpendicular to P Q or not. If A C is not perpendicular to P Q, as above supposed, the reversion of P and Q wUl cause the rod A C to Ue in a different position to that in which it lay before ; that is, after the reversion the extremity A of A C wfll fall as much to the left of the true perpendicular aa it was to the right before, or vice versa. But if A C ia perpendicular to P Q, then the reveraion vrill produce no change in the poaition of A C. 410 To apply thia to the tranait instrument, we have only to auppose P Q to be the imaginary axis of the pivots, and A C the lime of collimation ; then, if we take up the telescope and put it down again, reversing the pivots, we ahaU not alter the position of the Une P Q, becauae the pivota are of exactly equal size, (and here the importance of the equality of the pivots is manifest ;) in other words, after the reversion the imaginary axis of the pivota will lie exactly in the same Une as before. Hence, if the Une of coUimation points in exactly the same dfrection after the reversion as before, it must be at right angles to the imaginary axis ; but if this is not the case, the two Unes are not perpendicular to each other. 411 Hence we derive the foUowing method of adjuating the line of collima tion so aa to make it perpendicular to the imaginary axis about which it turns. Point the telescope to some distant object, say a star, and suppose that the star ia seen at the centre of the croaa wires : take up the instrument off tha i2 116 MATHEMATICAL GEOGRAPHY. Y's, and put it down again carefully, with the pivots reversed, and point it at the atar again ; then, if the atar appeara again at the centre of the cross wfres, the Une of collimation is perpendicular to the axis; but if the star is aeen either on the right or left of the centre of the wfres, the Une of coUimation is not perpendicular to the axis. To adjust the line of coUimation, let C, fig. 132, be the centre of the wfres, and 8 the star, seen, after the reveraion, to the right of C ; then, by turning the screw D, (fig. 130, bis,) move the centre of the cross wfres to the nght until it comes to the point C, which is half way between C and S. This being done, the line of coUi mation becomes perpendicular to the axis. The reason why we moTC the centre of the cross wfres half-way towards the star, is because the point 8, which marks where C waa before the reversion, falla aa much to the right of the true perpendicular as C, after the reveraion, doea to the left. 412 Iftbe acrew D has a graduated head, we may move C half-way towards S with accuracy ; but if not, the eye must judge as weU as it can the half-way point C. To test whether the centre of the cross vrires has been moved into the proper poaition exactly, reverse the pivots again, and if no change takes place m the position of the star, the position of the vrires is correct. Otherwise the adjustment must be made again. A few trials will answer to make the adjustment of the Une of coUimation complete. In each case, before the reversion, the star should be brought to the cenfre of the wfres ; this is easUy done by turning the telescope tUl the star comes on the horizontal wire, and then turning the acrew of the horizontal Y, until the star (which vrill appear to move along the horizontal wfre as the screw of the Y is turned) comes to the centre of the wfres. The atar made use of for thia adjuatment ahould be the pole star ; the apparent diurnal motion of any other star, whUe the pivots are being re versed, would give rise to some error, but the motion of the pole star is too slow to be perceptible in so short a time. A distant mark on some building ia what is generally employed for thia adjustment in large fixed instruments; but it may not be easy for a traveUer to find auch a mark when required, in asmuch as it must be a well-defined point at a considerable distance from the observer. 413 Adjustment of the Aris of ihe Transit Instrument by the Level. — The next thing to be done is to make the imaginary axis of the pivots oerfectly horizontal by means of the level, so that the plane in which the line of collimation moves may be a vertical plane. Before making this adjustment, the instrument should be placed, as nearly as itis possible to judge, mits proper position, either inthe meridian or in the prime vertical, aa the occasion may requfre. To place the instrument nearly in the meridian, point the telescope towards the Pole star, or rather about a degree and a half on one side of the Pole star, towards the middle of the Septemtriones, at the same time keeping the bubble as near the middle ofthe level as possible. If this be done, the instrument wiU not be much out ofthe meridian ; at least it wiU be sufficiently near the meridian plane to enable the observer to place it accurately in that plane by a further adjustment, which we ahall soon explain. 414 Another point to be attended to before making the adjustment of the axis with the level, is to examine the motion of the horizontal Y when its screw is turned, in order to secure the perfect horizontaUty of that motion. If this be not done before adjusting the axis, then any motion of the horizontal Y which may be afterwards neceaaary, wiU derange the adjustment of the axis. To make the motion of the horizontal Y perfectly horizontal, we must give its screw a few turns, and note the effect produced on the bubble of the level. If tho bubble remains stationary, we may be sure the horizontal Y THE TRANSIT INSTRUMENT. 117 moves truly horizontaUy ; but if the bubble moves, this is not the case. If the motion of the Y is not found correct in this way, we have only to turn one of the foot screws or short legs on which the stand is supported, untU the bubble ceases to move, when the screw of the horizontal Y is turned. 415 These points being attended to, we may proceed to adjust the axis by die level as foUows : — Place the level with its legs C and D resting uponthe pivota P and Q, and note the place of the bubble ; afterwards take up the level, reverse it, and put it down again, ao that C may rest on Q, and r on D, and note the place of the bubble again. Then, if the bubble haa not altered ita position, we may be sure that the imaginary axis of the pivots ia perfectly horizontal ; but if the bubble haa moved, tum the acrew of the vertical Y tUl the bubble moves half way towards its original poaition. It wUl then be found, on reversing the level again, that the bubble does not move, and therefore that the axis is horizontal. If, however, the bubble should move a Uttle after the second reversion, (which may happen if the adjustment is not carefaUy made,) it vriU be neces sary to move the bubble, by turning the screw of the vertical Y half way towards its position after the ffrst reversion. A few trials will soon make the ?xis qmte horizontal, which wiU be made manifest by the position of the hubble not being affected by the reversion of the level. 416 We have here described the adjustment of level, as being made by moving the vertical Y. In most portable instruments, however, the vertical Y is immovable, and the adjustment of the axis is made by turning the foot screw or short leg which is Fig .13 7 under the horizontal Y. The stand on which the two pUlara are aupported is often cfrcular, as is ahown in fig. 137, where N P M Q are the two pUlars ; P Q the axis of the pivots, the horizontal Y being at Q ; H, K, L the three foot screws, one of which, L, is immediatehr under Q, and the other two, !^and H, equidistant from L. By turn ing L, it is evident we raise or depress Q, and so we may make the line P Q horizontal. The previous adjuatment, above de scribed, by which the motion of the horizontal Y is made truly horizontal, ia effected by turn ing either of the screws H or E. The subsequent turning of L wUl not derange this adjustment, if H and K be equidistant from L, and N exactly oppoaite M. 417 Adjustment of the Vertical Wire. — It is important that the vertical wfre in the focus of the teleacope ahould be truly vertical, for then it wUl ahow, through its whole length, the vertical plane in which the centre of the wfres movea when the telescope is turned about its pivots, or rather, the vertical plane described by the line of coUimation : so that, if a star be seen on any part of the vertical wfre, we may be aure that it ia in the plane deacribed by the line of colUmation, without having to turn the teleacope, ao aa to bring the atar exactly to the centre of the croas wfres. Thia wUl often aave trouble ; and indeed it ia essential in nice observations not to be obliged always to bring the centre of the cross wfres to bear upon any star we may be obserring, but simply to aUow the star to move acroaa the field of view, and meet the vertical vrire wherever it may happen to do ao, whether at the centre, or above it, or below it. It is, lowjver, better to point tho teleacope ao that 118 MATHEMATICAL GEOGRAPHY. the star may move across the central part of the field of view; for the vision is not alwaya distinct near the extreme parts of the field of view. To determine whether the vertical wfre is truly vertical or not, we have only to bring a star upon it, and gently turn the telescope, the axis having been made truly horizontal by the previous adjustment; then if the star appears to run along the wfre, the wfre is truly vertical ; but if the turning of the telescope makes the star appear to move off the wfre, then the wfre is not truly vertical. If the wfre be found, on examination after this manner, to be out of the vertical, the wfres must be tumed round a Uttle by means of a screw, which is generally accessible to the observer ; but sometimes it is not, or there is no screw, and then this adjustment must be left to the instrument maker. 418 Meridian Adjustment of the Transit Instrument. — Having placed the inatrument vrith its axis perfectly horizontal, and the telescope moving nearly in the plane of the meridian, and having made the motion ofthe horizontal Y truly horizontal, one more adjustment is requfred, in order to place the instrument exactly in the meridian — ^that ia, so toplace it, that the line of coUimation may move truly in the meridian plane. Tnis may be effected, vrithout deranging the previous adjustment of the axis, by simply turning the acrew of the horizontal Y. It remains, therefore, to explain the test by which it may be known whether the Une of coUimation movea in the vertical plane or not. 419 Superior and Inferior Transits of a Circumpolar Star test the Meridian Adjustment. — Let ua conaider the cfrcumpolar motion of any par ticular star not far from the pole, as, for instance, a tTrsae Majoris. This star describes a cfrcle about the pole in twenty-four hours, and never sets ; it wiU therefore cross the meridian twice every twenty-four hours, once below the pole, and once above the pole. The star's tranait across the meridian below the pole is caUed ita inferior transit, and that above the pole ita superior tranait. The interval of time between the auperior and inferior fransite of every atar is exactly twelve hours, sidereal time. Hence we have an accurate test by which to determine whether the line of colUmation moves in the meridian plane or not ; for if it does, the interval between the two appearances of the star on the vertical wfre wiU be exactly twelve hours aidereal time ; but if it does not, the interval wUl be either greater or less than twelve hours. All that we have to do, therefore, is to watch a Ursa; Majoris, or any other cfrcumpolar star, when it is below the pole, and note the exact time when it crosses the vertical wire ; and in about twelve hours, when it wiU be above the pole, watoh it again, and note the exact time of its coming on the vertical wire: then if the interval between the two times is exactiy twelve side real hours, the Une of collimation moves in the meridian plane; otherwise it does not. 420 To explain thia important point more completely, let P (fig- 134) be the pole, Z the zenith, Q 8 8' E T' T the cfrcle which the atar deacribes about the pole, S being the place of the superior tranait, and T that of the inferior. Also suppose that the line of colli mation does not move exactiy m the meridian plane, and that Z S x is the portion of the great circle THE TRANSIT INSTRUMENT. 119 it describes on the celeatial sphere, whioh circle of course passes through the zenith Z, aince the plane in which the line of colUmation movea ia made fruly vertical by the adjustment of the axis of the tranait inatrument. Now, when the atar is at 8' it wiU bc seen on the vertical wfre, if the telescope be pointed towards it ; and again, when it comes to T', it wUl also appear on the vertical wfre, the telescope, of course, being sufficiently lowered, that the atar may be seen again in the fleld of view. The interval of time between these two appearances on the wfre wiU be the time the star takes to move over the space 8' 8 Q T T'. Now the time the star takes to describe the space S Q T is twelve hours exactly ; therefore the interval between the two appearances of the star on the vertical wfre wUl be a Uttle greater than twelve hours, the excess being the time the atar takes to move from 8' to S, together with that from T to T'. Hence it is manifest that if the line of colUmation move eastward of the pole, aa ia represented in the figure, the time reckoned from the superior to the inferior tranait across the vertical wfre vrill exceed twelve hours ; and vice versa, if the line of colUmation move westward of the meridian, the same interval of time wiU faU short of twelve hours. 421 To find out the angle of deviation 8 Z 8' of the plane in which the line of coUimation moves, mathematicians give a formula by whioh it can bo computed from the observed interval between the two transits across the vertical wfre ; but thia formula requfres both the latitude of the place and the dechnation of the star to be known. We shaU give here a different method, which has the advantage of being easUy underatood, and requfres neither the latitude nor the declination of the star to be known. To apply this method it ia necessary that the screw of the horizontal Y should be very accurately made, in fact, that it ahould be a fine micrometer screw, and have a graduated head, auch aa we have afready described. There would be practical difficulties in making a screw of this kind work correctly ; but a micrometer acrew, to move the wfres of the focus, which is often added to transit instruments, would answer the same purpose. It is easier, in explanation, to consider that the Y is moved. IV. Method of finding the True Time of Transit ofa Star across the Meridian with a Transit Instrument not exactly in the Meridian Plane. 422 Ofthe Clock, or Chronometer. — We must say a word respecting the instrument for measuring time, which must alwaya accompany the tranait instrument. When the observer never has to move from place to place, the clock wUl be the proper instrument to use for measuring time; otherwise, as a clock ia not portable, he must employ a chronometer, which is a large watch of peculiar and very accurate constmction. The chief thing to be noticed respecting the chronometer is, that it has a peculiar scapement, which gives a distinctly audible and sharp tick. It is by Ustening to thia tick that the observer counts time ; for he cannot look at the hand of the chronometer at the same time tbat he is looking through the telescope, and therefore he must use his ear for observing time. The seconds hand of the chronometer is the large hand, and not the minute hand, as in a common watch. Ihe seconds hand doea not move Uke that of a watch, but'dropa from one aecond mark to another on the dial plate in a remarkably ateady and regular manner, making a aharp tick each time. The chronometer, we shaU auppose, is regu lated exactly to sidereal time. 423 To determine the effect of turning ihe Screw -of the Horizontal Y. Suppose the telescope to be pointed at any particular star, S, fig.134 (bis), and that by turning the screw of the horizontal Y the vertical vrire A B ia made to Used the star, that ia, to paas exactly through the centre of the image of the star, so that half that image may appear on one side of the wire, and 120 MATHEMATICAL GEOGRAPHY. Kg.l3 4 half on the other. Then, in consequence of the diurnal motion of the heavens, the star wiU move, but by turning the screw of the horizontal Y, we may make tbe vertical wire always to foUow the star, so that, when the star has moved to S', the vertical wfre shaU move to the position A' B', and still bisect the star. It wUl requfre some practice to be able to tum the screws so as to keep the wfre always bisecting the star; also the screw must be accurately made, and the motion easy and smooth: but very soon an observer wfll acquire the power of doing this with the greatest ease, in fact quite mechanicaUy and habituaUy. Now this being the case, listen attentively to the ticking ofthe chronometer, keeping the vertical wire upon the star by turning the screw of the Y, and just at a tick cease turning the screw and let the star move off the wfre ; then look at the graduated head of the screw, and note the graduation shown by its index. Having done thia, look again at the star, which of course wfll now have moved some way from the wfre, and tum the screw tiU the wire comes up to the star ; then, just at a tick, cease turning the screw, look at the graduated head, and note the graduation shown by the index. During these operations the ticks of the chronometer must be carefiilly counted, so as to observe by the ear the number of seconda that elapse between the two ticks at which the motion of the screw was stopped. 424 Now suppose that A B, fig. 134 (bis), ia the place of the vertical wire at the inatant (or tick) when the motion of the acrew ceaaea the firat time, and A' B' its place the second time ; and suppose also that the number of seconds counted whUe the star was moving from 8 to 8' is ten, and that the number of tums of the screw of the Y which produced that motion is two, then it is evident that since two tuma of the screw correspond to ten aeconds of time, one turn corresponds to five seconds ; that is, one tum of the screw moves the wfre over a space which the atar takes five seconds to describe, so that if the star be on the wfre at any instant, and one forward tum be given to the acrew of the Y, it wUl be five aeconds before the star comes on the wire again. In general, divide the number of seconds counted by the corresponding number of tums of the screw, and that wiU give the number of seconds corresponding to one tum of the screw, and so determine the effect of turning the screw. 425 It wUl be found that the number of seconds corresponding to one turn of the screw of the Y wiU be greater at the infe rior than at the superior transit. The reason of this is manifest from fig. 136 ; for, supposing that one tum of the screw moves the cfrcle of coUimation* from Z T to Z T', T T' is greater than 8 8', and therefore it wUl take a longer time for the star to perform the former distance. 426 To find ihe exact Time of Transit across the Vertical Wire in any position. — Let Z 8 P T, fig. 136, be the meridian, Z the%enith, P the pole, S' S Q T T' E the circumpolar course of the stai-, Z S' T' the vertical cfrcle deacribed by the line of collimation, which is not supposed to move exactly in the meridian, A Uttle before the atar comea to 8', that is, a httie FdgJ.35 » That i.s the circle which the line of collimation describes on the celestial sphere as the telescope is turned about its axis. .THE TRANSIT INSTRUMENT. 121 before it comes on the vertical wire at its superior transit, look at the chrono meter, and note the hour, minute, and second ; note alao the graduation of the screw of the Y, shewn by its index. Then, counting the aeconda or ticka carefuUy, watch the star, and by turning the screw, bring the wire upon the star just at a tick ofthe chronometer; note the graduation of the screw, (as descnbed in Art. 424,) bring the wire again on the atar, and again note the graduation of the acrew, counting the ticka all the time. Suppose the results of theae observations to be as follows : — (1) Graduation of screw before it ia moved 0 (2) When the wfre ia brought upon f Time noted l" 2"" 3» the star the first time , , ,lGraduation of screw shows IJ turns, (3) Ditto, ditto, the second time ,{ J™J ^2*^* i. " ' i " oi l" ^' ^ ' ' ' (-Graduation of screw shows 3^ turns. Then from (2) and (3) it foUows, as we have explained in Article 424, that one tum of the screw corresponds to 2' : therefore, if we auppose 3^ tums to be given to the screw backwards, whioh wUl put the line of coUimation where it was orignaUy (that is, at 8'), this wUl correspond to 6J' ; in other words, the star was at 8' 6^' before the time (3), and therefore the exact time of the star's crossing the vertical wire in its original position was 1" 2'° J". In this maimer the exact time of a star's crossing the vertical wfre, in whatever position it is placed, may be easUy found. The rule in general is as foUows : — Supposing the graduation of the screw originally to be 0 (any other number wfll do aa well), subtract the time (3) from the time (2), and the number of tuma (3) from the number of tums (2), divide the former difference by the latter, multiply the quotient by the number of turns (3), and subtract the result from the time (3) : then the time so obtained wUl be the exact time when the star crossed the vertical -wfre in its original position (1). 427 The above method, or something equivalent, is absolutely necessary for accuracy, because it may happen, and generaUy happens, that the star crosses the wfre between two ticks. Astronomers always guess the instant, or fraction of a second, between the two ticks, when the star ia ou the wire, and to attain greater accuracy they have three, five, or seven wires in the focua, equidistant from each other (see fig. 127). They judge, as weU as they can, how far the star is from each wfre at the tick just before it crosses it, so determine the time of transit across each wfre, and, by taking an average, the time of tranait across the middle wfre. 428 To find the exact Time of a Star's TraTisii across the Meridian.—- Eeferring to the aame figure and letters as in Art. 426, and supposing everj- tbing the same as in that article, find the exact time of the star's being at S', by the method just explained : find also, in the same way, the exact time of the star's being at T', by making the observations at the inferior transit, and suppoae that one turn of the acrew corresponds to 2' at S', and to 3^ at T'. Furthermore, let the time of the star being at S' be P 2'" I", and the time of its being at T', 13" 2" 10|'. Then it foUows, that the time the star takes to move from S' to T' is 12" 0°" 10', and therefore, since the time from 8 to T is 12'" exactly, the two times, from 8' to S and from T to T', must together be 10'. But since one turn of the acrew of the horizontal Y at 8' correaponds to 2', and at T' to 3', the apaces S S' and T T' must be in the proportion of two to three, and therefore the whole time of describing these spaces being 10", it foUows, that 8 S' ia described in 4', and T T' ia 6'. Now the time of the atar'a being at 8' is 1" 2"" |' ; therefore the star wUl be at 8 in 6' more, that is, at the tune 1" 2"" 65'. It appeara therefore that the exact time ofthe atar'a creasing the meridian at S ia 1" 2™ 6|'. 429 In general, to find the time of the star's being at S, we must find the timea of its being at 8' and T', by the method above explained, and thence the time it takes to move from S' to T', The excess of thia time over 12" 122 MATHEMATICAL GEOGRAPHY. is the time the star takes to describe the two spaces S' 8 and T T', and these two apaces are deacribed in times proportional respectively to the times cor responding to one tum of the acrew at 8' and T'. Hence, if we assume t to represent the excess over 12" of the time of moving from S' to T', and a nnd b to represent respectively the times correspondmg to one turn of the screw at 8' and T", we have the foUowing proportion — a-\-b : t :: a : the time of moving from 8' to S. From thia proportion the time of moving from S' to 8 being found, and being added to the time of the star's being at 8', the reault wUl give the exact time of the atar'a crossing the meridian at S. V. Method of obser-ving Transits across the Prime Vertical. 430 One ofthe beat methoda of finding the latitude of aplace consists m observing the transit of a known star across the Prime Vertical ; we shall therefore explain how such a transit may be observed. 431 Method of placing the Transit Instrument nearly in the Prime Vertical Plane. — First place the instrument as nearly as can be judged in the meridian plane, in the manner afready explained, and fix a common magnetic needle or mariner's compass on some convenient part of the stand, so that the needle may move freely in a horizontal plane.* Furthermore suppose, for the sake of simpler explanation, that the needle is made to point to the North point of the compass. Having done this, Uft up the whole instrument and turn it round tUl the needle points to the East or West point ofthe compass, and put it down again caremUy, so that the needle may continue to point in either of theae directiona. The instrument wUl then be placed nearly in the prime vertical plane. For it is obvious that the plane of colUmation is now at right angles to ita original position, in which it was nearly coincident with the meridian plane, and therefore, since the prime vertical is perpendicular to the meridian, the plane of coUima- riQ-.l38 tion is now nearly coincident with the prime vertical plane. 432 When the instrument has been thus placed, the level should be appUed, in the man ner afready explained, in order to make the axis perfectly hori zontal. When this is done, the line of coUimation wiU describe a vertical plane nearly coincident with the prime vertical. 433 To determine, by means of the instrument thus placed, the exact time of Transit ofa Star across ihe PriineVei-tical. — Let P, fig. 138, be the Pole, Z the Zenith, 8 Z P T the Meri dian, Q Z E the Prime Vertical, which is at right anglea to the Meridian, and Q' Z E' the circle of coUimation— that ia, the circle which the line of coUimation describes on the celeatial sphere. Observe the Unes S T Q E and Q' E represent circles of the sphere which appear to be projected as sfraight lines on a horizontal plane to an oye looking verticaUy upwards on the sphere. • U will be artvifable, in pui-oliasing a transit instrinnent, to order a magnetic compass to be fitted to it on Pomc convenient part ofthe stand, THE TRANSIT INSTRUMENT. 123 The cfrcle of coUimation Q' Z E' is auppoaed to deriate a Uttle from the prime vertical QZE, but the amount of deviation is unknown. We can observe, in the manner already explained, the exact time when the star crosses the cfrcle of coUimation, that is, supposing S Q T E to represent the cfrcular course of the star round the Pole, we can observe the exact times of the star's being at E' and Q', We suppose the star to croaa the prime vertical twice, (whioh it wUl do, if it crosses the meridian beyond the zenith at its superior fransit S,) once on the east of the meridian, and once on the west, 434 We must observe, before proceeding, that the time of the star's fransit across the meridian at Q', is supposed to be known, either by actual observation (as above explained), or from the star's known right ascension. If it be the same star as that by which we have detei-mined the meridian (as above explained), of course its time of transit at 8 is known by observation ; if not, the right ascensions of both stars must be found from the Ephemeris, or Nautical Almanack, and the difference taken, and this vriU determine the time that elapses between the transits of the two stars, and therefore the time of fransit now requfred. For example, auppose that the auperior tranait of the atar (caU it a) by which the meridian waa determined was observed to take place at 1" 4"* 10', and that the right ascension of another star (call it ;3) exceeds that of a by 4" "Z"" 3' ; then |8 vriU cross the meridian 4" 2™ 3' after a, and therefore the time of transit of j8 wUl be the aum of — 1" 4"" 10' and 4" 2"" 3' that is, 5" 6" 13" 124 CHAPTER VIII. THE GEOGEAPHICAL USES OF THE TEANSIT INSTEUMENT. HAVING explained foUy the constmction of, and method of observing vrith the Transit Instrument, it will not requfre many pages to show how it may be used for geographical purposes. The chief things wmch a traveUer nas to determine at any place, hy means of astronomical observations, are aa foUows : — The Position of the Meridian. The Latitude. The Longitude. We shaU now explain, in order, how theae three things are to be deter mined. I. Determination of the Position cf the Meridian, 438 To determine the meridian, we have only to determine, by the method explained in the preceding chapter, the exact time when any par ticular star crosses the meridian ; and, knowing this, we may, by turning the screw of the horizontal Y, bring the line of collimation into the meridian plane, with great accuracy, as an example vrill best show : — Suppose that any particular star is observed to croas the wfre at the time 6" 12"" 17', and that it ia calculated, by the method explained in the prerious chapter, that the atar croaaea the meridian exactiy at the time 6" 12'° 23'; also, auppose that one tum of the acrew correaponds to 3'. Then it follows, that the atar takes 6' to move from the vrire to the meridian, and, conse quently, that two tuma of the acrew wiU bring the wfre up to the meridkn. We have only, therefore, to give the screw two turns, and we shafl so bring the Une of coUimation exactly into the meridian plane. Since the star crosses the meridian after the wfre, the screw must be tumed so as to make the wire move the same way that the star does — ^that is, westward at a superior transit, and eastward at an inferior, Tti general, to bring the line of coUimation exactiy into the meridian plane, we must divide the time the star takes to move from the wfre to the meridian, by the time corresponding to one turn of the screw, and the result wiU show how much we must tum the screw in order to bring the wfre into the meridian, 439 Having thus ascertained the precise position of the meridian, some mark, as distant as possible, is generaUy chosen to indicate either the north or the south point of the horizon. This mark is called the Meridian Mark. Its use is — to enable the observer to place his transit instrument in the meridian plane on any future occasion, without having to make fresh astro nomical observations ; it also serves to determine wheSier the insteument has been in any way displaced or disturbed, by accident or otherwise. Thia mark should be, if possible, aome small, weU-defined object, auch, for instance, aa the point of a church apire, or the top of a pole fixed in the ground ; or it may be tbe vertical edge or extremity of some object, such aa a chimney or house. It is not possible, of course, to get a mark of this kind exactly in the meridian, nor is it necessary to do ao ; it wUl be sufficient 11 the mark is near the meridian, — that ia, within a few tiirna of the screw, or, to speak more definitely, so near, that a few tiu-ns of the horizontal scrJW GEOGRAPHICAL USES OP THE TRANSIT INSTRUMENT. 125 may be sufficient to make the vertical wfre move from the mark to the meridian. Of course the exact number of tums of the acrew, by which the wfre ia moved from the mark to the meridian, must be noted, in order that we may be able to place the instrument in the meridian, which is done by first making the wire coincide with the mark, and then giving the screw the proper number of turns to bring the wfre into the meridian. If the mark be a smaU round or narrow vertical object, the wfre may be considered to coin cide with it when it appears to be bisected by the wfre. 440 It is important for several reasons not to trust entfrely to a meridian mark, and therefore obaervations should always be made to determine whether the inafrument ia exactly in the plane of the meridian or not. The uae of a meridian mark, geographicaUy, ia to define the north or south points of the compass in any particular locality. H. Determination ofthe Latitude. 441 A very exact and simple method of finding the latitude of any place by observation is by means of transits across the prime vertical, as proposed by Beaael, and adopted vrith great succeas in the Euaaian surveys. We have afready ahown how the tranait instrument is to be placed in the Erime vertical, and it is only necessary to explain the method of finding the ititude bythe use of the transit inatrument thua placed. The great advantage ofthis method is, that it requfres no corrections for refraction and paraUax, which are sources of error in other methods of finding the latitude. 442 Method of finding the Latitude of a place by observing Transits across the Prime Vertical. — Let P, fig. 138, represent the Pole ; S Q' Q T E' E the cfrcumpolar cfrcle, which any star describes in twenty-four hours ; Z the zenith ; S Z P T a portion of the meridian ; Q Z E a portion of the prime vertical, whieh is, it wiU be remembered, at right angles to the meridian. Let the transit instrument be placed as nearly as possible in the prime vertical, that is, let it be placed in such a manner that the line of coUimation of the telescope may describe a plane very nearly coincident with the prime vertical plane. This may be done by means of a magnetic compass fixed on the stand of the instrument. The instrument is firat to be placed as nearly as possible in the meridian, as above explained, and then the whole ia to be hfted up, tumed round tiU the magnetic needle moves through 90°, and then set down again. 443 Sometimes the instrument has an azimuthal motion, that is, it is capable of being tumed round a vertical pUlar or axis; and it has a graduated horizontal cfrcle. In this case, after having placed the instrument as nearly as possible in the meridian, we have only to tum it round the vertical axis through 90°, by means of the graduated horizontal cfrcle ; and, this being done, the instrument is placed nearly in the prime vertical. 444 When the instmment is thus placed, the axis of the telescope must be carefuUy leveUed, as above explained, otherwise the observations made wUl be erroneous. It is very important, in aU observations vrith the transit insteument, to attend particularly to the horizontal afljustment of the axis of the teleacope. 445 Supposing, then, that the instrument ia placed aa nearly as possible in the prime vertical, let E' Z Q' repreaent a portion of the vertical cfrcle, whioh the line of coUimation deacribes on the celeatial aphere when the telescope is tumed round its axis. Thia circle passes through the zenith Z, becauae, the axis being properly leveUed, the line of collimation deacribea a vertical plane ; alao, thia cfrcle, aa we have auppoaed, ia nearly coincident with the prime vertical QZE. Now, the atar whioh ia auppoaed to describe the circle S Q T E will be seen crossing the vertical wn-e when it arrives at E', and afterwards at Q'. In the former case the teleacope ia pointing eastward, in the latter westward. Let the exact time of the star's being at E' be observed, according to the method afready explained with reference to transits across the meridian; 126 MATHEMATICAL GEOGRAPHY. alao, let the exact time of the star's arriving at Q' be observed in the same manner. Furthermore, thc exact times %vhen the star crosses the meridian, at its superior and inferior transits at 8 and T, muat be determined by observation, or by calculation, aa we have explained. Then the exact time of the atar'a crossing the prime vertical at E or Q may be immediately deter mined, as an example wiU best show. 446 Example. — Let the observed times when the star arrives at T E' S and Q' be as foUows : — At T At E' At 8 AtQ' 1" 10"" 3' 10" gm 2' 13" IO-" 3' 16" 17" 0' Then the interval of time from the star's being at E' to ita being at S is — 3" 7'" 1" and the interval from S to Q', is — 3" 6'" 57" Now, the time the star takes to move from E' to E may be considered as equal to that from Q' to Q ; for, inasmuch as the ciroles E Q and E' Q' are very nearly coincident, the spaces R' E and Q' Q differ only insensibly from each other. Therefore, aince the interval from E to S ia the same as the interval from 8 to Q, S being eridently mid-way between E and Q, it foUows that the interval from E' to E, and that from Q' to Q, must be each 2", and the . interval from E to S, and that from S to Q, muat be each — 3" 6"" 59' for then the intervals from E' to S and from S to Q' wUl be respectively— 3" 1' and 3" 6'" Tig. 139 as they ought to be. 447 In general, the interval of time the star occupies in moving from E to S wiU be half the sum of the two intervals from E' to S and from S to Q' ; for it is manifest that the interval from E' to 8 exceeds, and that from S to Q' falls short of, the interval from E to S, by the same quantity, so that twice the latter interval wiU be equal to the sum of the two former intervals. 448 Thus the time the star takes to move from E to S may be easily determined by observation ; and this also determines the angle Z P E (P fi representing a portion of the polar circle, or cfrcle of de3ination, drawn from the pole to the ster), for, as z the time of the star's moving from E to 8 is to 24", so is the angle Z P E to 360°. Thus, in the case of the example just given — 24" : 3" 6"' 59' : : 360° : angle ZPE, when the .ingle ZPE may be de termined by "the Eule of Three. 449 W e are now prepared to show how the latitude may be found. Let A P Z C (fig. 139) re present the meridian ; Z E B a por tion of the prime vertical ; Z the zenith ; E the star crossing the prime vertical in the triangle ZPE 111 the present figure, the same as the triangle Z P It in fig. 138, only GEOGRAPHICAL USES OF THE TRANSIT INSTRUMENT. 127 represented in a different projection or view. Then Z P E ia a spherical triangle in whioh we know three things ; namely, the side P E, the angle ZPE, and the angle P Z E. The side P E is known, because the star R is supposed some known star, whose distance from the pole P is given in the Ephemeris, or Nautical Almanack. The angle Z P E la determined, as above explained, and the angle P Z E ia a right angle, because the prime vertical Z E is perpendicular to the meridian Z P. Hence, three things being known in the apherical triangle Z P E, we may find the remaining parts of the triangle ; namely, the angle Z E P, the aide Z E, and the side Z P, either by mathematical calculation, or by the method of construction we have given in a former chapter. Now Z P is the complement of the latitude, being the distance of the zenith from the pole ; for the latitude is the distance of the place of observation — in degrees, minutes, and seconds — from the terrestrial equator, or, what is the same thing, the distance of the zenith from the celestial equator. It appears, therefore, that the latitude may be found from the spherical triangle Z P E, by determining by observation the angle ZPE, as above ex plained. 450 The foUowing is the construction for finding Z P. Let us take the letters I, c. A, h, to represent respectively the latitude, the colatitude Z P, the polar distance P E of the star, and the hom- angle ZPE. Then O T' un the relation between these quanti- A^~-~~^ '^ ties is represented by construction in fig. 140, where the Une O M is perpendicular to the Une N L ; N K also perpendicular to N L ; and M K equal to M L. The angle NMEis/t; NOM, c- LOM, A; and O N M, being the complement w , of N O M, is I. That this is the proper construction for represent ing the relation between c. A, and h, wUl be aeen immediately by re ferring to the article where the construction for exhibiting the parta of a right angled spherical triangle is given. Hence, to find the latitude I, A, and h, the polar diatance and hour angle being known, as we have stated, we proceed as follows : — Draw two lines, O L, O M, fig. 140, making the angle MOL equal to the knovm polar distance A of the atar ; and, taking O L of any convenient length, draw L M perpendicular to O M ; draw M K equal to M L, making the angle N M K (MN being the production of the line ML) equal to the hour angle h, which has been detennined from observation ; then draw E N perpendicular to M N, and join N O, and measure the angle O N M, and the angle thus measured wUl be the latitude requfred. 451 We may here observe that the time of the star's transit across the meridian need not be observed, prorided we know the time of transit of any other star, (as, for example, the star made use of in determining the poaition of the meridian,) and the right ascensions of both stars. For the difference between the two right ascensions vriU be the interval between the transits of the two stars across the meridian ; and therefore, if the time of transit of one star ia known, that of the other may be immediately determined. 128 MATHEMATICAL GEOGRAPHY. TTI, Determination ofthe Longitude. 452 Cotmexion between the Longitude of a Place and the Time. — ^When it is 12 o'clock at London, itia 1 at a place 15° of longitude eaat of London; for, aince the Sun deacribes the whole 360° of longitude in 24 hours, that ia, at the rate of 15° per hour, he comea on the meridian of London an hour later than on the meridian of a place 15° east of London, and therefore the time at that place wUl be an hour in advance of that at London. In Uke manner, the time at a place whose longitude is 15° west of London, ia one hour behind the time in London. And in general, if we conaider the meridian of London to be the Ffrst Meridian, reckoning longitudes from it, the difference between the time at any place and that at London wiU be found by converting the longi tude of the place into time at the rate of 15° per hour, the time at the place being in advance or beMnd that at London, according as the longitude is east or west, 453 Method of fi/nding the Longitude of ariy Place. — ^Hence, in order to find the longitude of any place, we have only to determine how much the time at that place is in advance or behind the time at London, and convert the difference into degrees at the rate of 15° per hour. For example, if the time at a place be 3" 6"" behind London time, what is the longitade of the place P To determine this, we have the proportion : 1" : 3" 6"" : : 15° : longitude requfred, which, by the Eule of Three, gives for the requfred longitude, 46° 30' west. Now, in order to determine how much the time at a place is in advance or behind the London time, we must determine two things — namely, the London time and the time at the place. How this is to be done we shall now briefly explain. 454 Method of dMerminirig the Time at any Place. — We have explained how time is measured by the Sun's apparent diurnal motion, corrected by the equation of time, in order to make the proper aUowance for the inequalities in the Sun's motion. To determine the time at any place, that is, the mean solar time, we must determine the exact instant vvhen the Sun crosses the meridian of that place, and make the proper correction for the equation of time, and then the time at the place vpUI be determined. For example, suppose that the observer has a chronometer and transit instrument, and that he obtains the foUovring result by observation with them, and the equation of time from the Ephemeris : — Time of the Sun's transit as shovm by chronometer , 2" 4"" 18' Equation of time, (Sun too slow) 0" 7"" 42' Sum ... 2" 12°' 0' Hence the chronometer is 2" 4°" 18' faster than the time actuaUy ahown by the Sun; for it is 0 o'clock by the Sun when he is on the meridian ; and the equation of time ahows that the Sun is 7™ 42' slow; therefore tiie chro nometer is 2 hours and 12 minutes faster than the mean solar time at the place of observation, and thus that time is determined, 455 But putting back the hand of the chronometer 2 hours and 12 minutes, we may make it show the exact time of the place of observation ; but this is never done, becauae it woiUd spoU the chronometer to move the hand backwards or forwards as in a common watch. The error of the chro nometer is noted, and this is quite sufficient ; for instance, in the example juat given it wUl be aufficient, instead of putting back tbe hand, to make a note that the chronometer ia 2 hours 12 minutes fast at the place of obser vation. 456 Thus the time at any place may be determined by observing, with a GEOGRAPHICAL USES OF THE TRANSIT INSTRUMENT. 129 transit instrument and chronometer, the instant at which the Sun crosses the meridian. The aame may be done by observing the inatant when any known star crosses the meridian, and making the proper aUowance for the difference of the Sun's right ascenaion and that of the star. For example, suppoae the star's transit to be observed, and the right ascensions of the Sun and star taken from the Ephemeris, or Nautical Al manack, aa foUows — Sun'a right ascension ... 4" 12"" > , . Star's right ascension , , . e" 16" ^ °^^^'^ *™®- Difference , ... 2" 4"" Therefore, when the star is on the meridian, the Sun is 2" 4"" past the meridian ; or, in other words, it is 4 minutes past 2 by the Sun. Time of star's transit by chronometer . 10" 13"" Ditto by Sun , , . . 2" 4" Difference 8" 11" Equation of time (Sun too fast) 0" 10"" Sum ... 8" 21"" The chronometer is 8" 11"" faster than the time actuaUy shown by the Sun ; but the Sun is 10"" too fast ; therefore the chronometer is in advance of the mean time at the place of observation by the quantity — 8" 21"" which, being noted, determines the mean time at the place of observation. 457 Determination of the London Time. — The simplest method of doing this is by means of good chronometers, set to London time, and transported vrith great care to the place of observation. Now, chronometers, however good, are always subject to aome error in thefr rate of going ; thia error ia deter mined aa weU as it can be, and is noted, Alao, aa we have already stated, the chronometer is not actuaUy aet to London time by moving the hand, but the error ia simply noted. Thus, two kinds of error are noted, the error in London on a certain day and hour, and the gaining or losing rate of the chronometer ; and, by making the proper aUowance for these errors, the London time may be found from the chronometer at any place to which it has been transported. For example, auppoae the foUowing caae — Error of chronometer in London at 12 o'clock, June 1.0" 2*" 3' faat. Gaining rate 1' per day. Error from gaining rate at 12 o'clock, June 23 . , , 0" 0"" 23» „ Whole error at 12 o'clock, June 23 0" 2"" 26' fast. So that, according to London time, the chronometer ia 2"" 26' too fast on the 23rd of June. 458 Thia presumes of course on the invariabUity of the gaining rate ofthe chronometer, for thia calculation auppoaea that the chronometer gaina regu larly one second per day. When chronometers of first-rate construction are transported by sea, vrith proper precautions against the motion of the ship, it is vvonderfid how Uttle the gaining or losing rate changes. Good chronometers are therefore invaluable in navigation, for they give the London time with great facility, and therefore, aa we have explained, serve to determine the lon gitude. The means of transport by land are by no meana so favourable to the correct going of the chronometer. 459 Method of determining London Time, by observing the Moon's motion among the fixed stars. — The apparent diurnal motion of the heavenly bodies serves to determine the time at any particular place where the observer 130 MATHEMATICAL GEOGRAPHY. actually is, but not the time at a different place, except the difference of the longitudes of the two places be known. An observer at New York may determine the time at New York by observing the daUy motion ofthe Sun or other heavenly body ; but there is nothing in the diurnal motion of the heavenly bodies which wUl enable him to find the time at London, except he knows how many degrees New York is west of London, It is different, however, with regard to the proper motiona of the heavenly bodies among the fixed stars, for these motions are capable of showing the time at a place different from that in whioh the observer is stationed, vrithout his knowing anything about difference of longitude of the two places. With the excep tion of the Moon, however, the proper motions of the heavenly bodiea are too slow to be made use of for the purpose of determining time vrith any degree of accuracy : the Moon alone movea with aufficient quickness among the stars to enable us to make use of her motion with this view ; and even in the case of the Moon, it requfres considerable nicety on the part of the observer to attain sufficient accuracy in the results of his observattons. 460 The Moon performs the cfrcuit of the heavens among the fixed stars in less than a calendar month, and therefore describes more than 12° per day, or 30' per hour. Suppose for a moment that she moves over 30' per hour, and therefore 30" per minute. Suppose also that the Moon ia seen to coincide vrith a certain star at 0 o'clock in London, and that an observer in some other place ia aware of this, but is ignorant of his longitude. Suppose that he determines the time at the place he is in, according to the method above explained, and that at 2 o'clock he observes that the Moon is 6° 10' from the star. Now at 0 o'clock, London time, the Moon coincided with the star, but now she ia 6° 10' from the atar ; therefore, since she deacribea 12° per day, or 30' per hour, it foUows that at the time of observation it is 13" 20" London time — ^for 6° correaponds to 12" 0" 0" 10' „ 0" 20"° 0' Total 12" 20" 0" Hence the London time is determined. We have then the foUowing calculation for finding the longitude of the place of observation : — Time at place of observation 2" 0° 0' Correaponding London time 12" 20" 0' Difference 10" 20" 0' Hence the time at the place of obaervation is 10" 20" behind the London time, and therefore 1" : 10" 20"" : : 15° : longitiide of place. Whence the longitude of the place is 155° west. 461 In the foregoing example we have assumed that the motion of the Moon is perfectly imiform, in order to explain more simply the principle upon which the method of finding the London time, and thence the longitude of any place, by means of the Moon's proper motion, depends. The Moon's motion is, however, very variable, but astronomers have determined thenatare and law of that variation with great exactness. They can therefore make due aUowance for every inequaUty m the Moon'a motion, and employ it to deter mine the longitude with the same exactness aa if it was perfectly invariable. 462 Method of finding the Longitude by Transits of the Moon. — This method is founded upon the principle juat explained, and is in fact the simplest way of applying it in practice. It consiats in observing with a fransit instru ment and chronometer the times at which the Moon and a fixed star cross the THE ALTITUDE AND AZIMUTH INSTRUMENT. 131 meridian at the place of observation, and so determining the interval of tune between the two transits. The interval thus found is compared with the interval between the two transits as seen at London, which can be easily calculated from tables given in the Nautical Almanack ; and the comparison immediately shows the London time at which the two transits took place when seen by the observer. The London time being thus found, of courae the longitude foUows, as we have explained. For example, suppose the foUowmg case : — Observed interval between the two transits , , . 12" 6' Interval at 0 o'clock, London time, given by the Nautical Almanack 18" 6' Difference 6" 0' Now, suppoae that we find from the Nautical Almanack that a change in the Moon's right ascension, amounting to 6" in time, takes place in 3" 4" 2' ; then it foUows, that when the observer sees the Moon's transit, the London time is 3" 4" 2' Whence the longitude may be found. 463 Lunar Method. — The method of finding the longitude which we haTe just explained, is caUed the method of Moon Culminating Stars, because it consists in observing when the Moon and certain convenient stars come on the meridian, or culminate. There is another method of finding the longitude, whioh is nsuaUy caUed the Lwnar Method. It consists in observing the distance of the Moon from some convenient fixed star, and it depends upon the principle just explained. The instrument employed in this method is one speciaUy adapted for observing on board ship, called Hadley's sextant. A mathematical calculation is requfred to obtain the longitude, and the observa tions must be corrected for refraction and paraUax. On the whole, it is much more compUcated than the method of Moon culminating stars : but, since a transit instrument could not be employed on board ship, the latter method cannot be employed at sea. CHAPTER IX. THE ALTITUDE AND AZIMUTH INSTEUMENT— HADLEY'S SEXTANT— EEFEACTION AND PAHALLAX, TTTE have dwelt at some length on the transit instrument, because of its VV great practical utiUty, and the simplicity of its details and adjustmente; besides, a knowledge of the method of using it is valuable, because other instruments are adjusted on exactly the same principles, and by simUar contrivances ; so that one who imderstands the transit instrument weU, may be aaid to underatand a good deal about astronomical instruments in general. We have now only space to say a very few words respecting two other very important astronomical inatruments — namely, the Altitude and Azimuth Instrimient and Hadley's Sextant. I. The Altitude and Azimuth Instrument. 465 This inatrument conaists of a telescope C A, fig. 140, of exactly the same description as that in the transit instrument, capable of turning round a horizontal axis, the pivots of which reat on two Y's, which are fixed on two vertical pUlara, one 01 which, PE, ia represented in the figure. In fact, the e2 132 MATHEMATICAL GEOGRAPHY. Siouo A telescope, axis, pivots, and pUlars, are preciaely ° '"~~- the same as in the transit instrument, only the axis is generaUy shorter, and the pUlara are cloaer together. D,^_t_^ The atand to which the two piUars are fixed is a cfrcular horizontal piece of metal, capable of moving round ita centre about a vertical axia. _ >- w \ This vertical axis is supported by another cir- p ^f \)A ciilar piece of metal, which reste on three foot m(®_'j^ ! . I i-~n£-/^ screws, Uke the base of the transit, as we have above described it. So far, then, the altitude and azimuth instru- fN^JjC I \^^y therefore the angle SC8' y^yy^ T^ wiU be double the angle ^ <^S^:" " S C D, Now the angle ' • V '%> 8 C D is the angle of alti- !b/ ¦ ¦ ... tude of the star above the p ' ¦ a horizon, since C D is a ho- I f-^ rizontal line. Hence, the \ correct altitude of the star \. is half the angle made by \ ^ the Unes C 8 and C S', which ''-19 s' are drawn respectively to the star, and to its image or reflection in the mercury. Let us now suppose the foUovring case, with reference to the two positions, A C B and A' C B^ of the telescope. Eeading given by vemier in first position .... 29° Ditto „ „ second ditto .... 99 Difference 70 This difference ia evidently the angle S C 8', and therefore half thia difference, 35°, ia the altitude of the atar. But suppose there is some error in the position of the venuer or telescope, which makes the first reading 33° instead of 29°, and of course equaUy affecte the second reading, making it 103° instead of 99°; then the case vriU stand as foUows : — Eeading in first position 33^ Ditto second ditto 103 Difference 70 And therefore altitude — 35° Hence it appears that an index error, that is, an error in the position of *i^ vernier, or m that of the telescope on the graduated cfrcle, doea not affect the result of an observation according to this method. It is generaUy in this manner that altitudes are taken by means of the altitude and azunuth instrument. KpllS 473 Artificial Horizon. — The artificial horizon .,s==_B is a small veaael or trough of wood, roofed in, as it were, with glaaa, iu order to prevent the wind .,#^S^^===i^Ss.p from diaturbing the surface of the mercury, a i^k^^^^^^^^^^" A D E C, fig. 143, is the trough for containing the mercury. A B C is the roof; F, and the oppoaite slanting side, which does not appear in the flgure, ° being glaas. This is a necessary instrument, when either an altitude and azimuth instrument, or a Hadley's sextant, which we shaU soon describe, is used. It is made to be portable, and is rather more expensive than a pur chaser generaUy expects, on account of the importance of haring the glass roof made of accurately polished plates of glass. The mercury ought to be allowed to run into the trough through a very sniaU hole, in order to clear the surface of the scum which will otherwise obscure it. THE ALTITUDE AND AZIMUTH INSTRUMENT. 135 Kg.l44 HI. Uses of the Altitude and Azimuth Instrument. 474 We can only very briefiy touch upon this part of the subject. We shaU auppoae the instrument to be placed in the plane ofthe meridian, that is, so that the line of coUimation of the telescope may move in that plane ; and this may be done exactly in the aame manner aa in the case of the tranait instrument, aa above explained; only the axia of the teleacope ia moved horizontaUy by means of the tangent screw of the azimuth cfrcle inatead of by moving the horizontal Y by a screw, as in the transit instrument. The inatrument thus placed is equivalent to what ia caUed the Mural or Meridian Circle in large observatories. Altitudes of heavenly bodies observed by means of the instrument thus placed are caUed Meridian Altitudes. 475 To determine the Latitude by observing the Meridian Altitude of a heavenly body whose declination is known. —Let A Z E B F (flg. 144) be the Meri dian, A B the Horizon, E F the Equator, S the heavenly body on the Meridian, and Z the Zenith. Then B 8 is the meridian altitude of the heavenly body, and this is supposed to be observed by means of the altitude and azimuth inatru ment. Therefore Z 8, which is the com plement of B 8, ia known. But E 8 is the declination of 8, which ia also known, and E Z ia the latitude of the place. Hence, by adding Z S and E S, both of which are known, we find the latitude. Thua, if the observed altitude be 60° 10', and the known dechnation 20° 15', we have— BZ ... 90° Subta:act B 8 Add ES. 0' 60° 10' 29° 50' which gives Z 8. 20° 15' 50° 5' which gives E Z, or the latitude requfred. 476 To determine the Latitude by ob- serving an unknown circumpolar Star. — ^' Let APB (fig. 145) be the Meridian, P the Pole, 8' T S the cfrcumpolar cfrcle described by the unknown star crossing the Meridian at 8 and S', and A B the Horizon. Then let the meridian altitudes S A and S' A be observed, and added to- b gether, and the sum found wiU giv( PA, the altitude of the Pole ; whence the latitude, which is equal to the altitude of the Pole, is known. For example, let the observed meri dian altitudes be 79° 14' and 49° 30' ; then we have — S A 79° 14' S'A 49° 30' Adding 128° 44' Half of which is 64° 22', which is the required latitudo. 136 MATHEMATICAL GEOGRAPHY. The reason why P A is half the sum of 8 A and S' A is, because P is half way between 8 and S', therefore 8 A exceeds P A by the same quantity that 8' A faUs short of P A, and therefore S A and S' A added together muat just make double of P A. 477 Theae results must be corrected for refraction, and sometimes for other errors, as we shall briefly explain, and hence it is that these methods of finding the latitude are not by any means so simple as they appear to be. rv, Hadley's Sextant. 478 This instrument is invaluable where the observer is not able to use fixed instruments, as, for instance, at sea. It consists of a stout frame DAC, flig. 146, of a triangular (or rather, secto rial) shape, of which A B C is a flat gra duated circular arc, generaUy a sixth part of the whole cfrcumference, (whence the name sextant,) but oflen it is a fourth part or quadrant. D B is an arm which movea about a centre — ^namely, the centre of the graduated arc ABC. The end B of thia arc movea in close contact with the graduated arc, and carries an index and Vemier by which the graduations are read off. (See Article 383, &c.) S is a tangent acrew, which, being tumei causes the arm D B to move very slowly ; and T ia a clamping acrew, which, being tight ened, causea the acrew S to act on the arm, but, when relaxed, the arm may be moved freely by the hand. Perpendicular to the plane ofthe graduated arc AB C, in which plane the arm D B movea, are two mirrors E and D, one fixed at E on the side D C of the frame, and the other attached to the arm at D, immediately over the centre roimd which the arm turns. The mirror E is immovable, but the mfrror D moves vrith the arm D B. Both are plane mirrors of sUvered glass, but E has this pecuharity, that the upper half of the sUvering is rubbed off, so that E is partly a refiector and partly transparent. F is a telescope fixed on the side D A of the frame, and pointing dfrectiy towards the half-sUvered mirror E. Behind the instrument is a handle (not shown in the figure). By this handle the instrument is held in the right hand, the left being used to move the index arm D B, or turn the screws S or T. 479 When the instrument is in proper adjustment, and the arm D B is moved, tUl its index B is at the zero of the graduated arc ABC, which zero is near the point A, then the two mfrrors D and E are so placed as to be exactly paraUel to each other. 480 Principle of Hadley's Sextant. — Let ADC, fig. 147, represent the principal lines in fig. 146 ; A B C being the graduated arc, E the half-sflvered mirror, D tho moveable mfrror on the index arm, B the index, A the zero point of the graduated arc, F tho place of the telescope. Suppose S D E F to be the course of a ray of light, whioh, falUng on the mfrror D, is reflected to E, and thence again reflected towards the tdescope at F, through which it passes to the eye. We may obaerve here, that the telescope is always ao placed that the lines F E and D E make equal angles vrith the mirror E ; and then, by the law of reflection, a ray falUng on the mirror E, m the dfrection D E, is always reflected in the dfrection E F. Furthermore, let ll E be another ray of light, which, falling on the un- silvorcd part of tho muTor E, pasaea straight through thc telescope at F to the eyo. hadley's sextant. 137 Then it may be proved geometricaUy, from the law of refiection, that the angle A D B is always half of the angle at which the two rays S D and H E are incUned to each other; so that double the number of degrees in the graduated arc A B is the angle which the ray 8 D msies vrith the ray H E. Now, the arc AB C is not graduated in the usual way, but every half degree of it is repre aented as a whole degree, ao that there would be twice 360 degrees in the whole cfrcumference if completed. This being the caae, it is evident from what has been stated, that the number of degrees from A to B shows the angle at which 8 D and H E are incUned to each other. For example, if the index B points to 20°, the rays S D and H E make angles of 20° with each other. Now, if S and H be two distant objecta, two atars for instance, from which theae rays come, it is clear that to the eye 8 wUl appear to be in the same place as H, for the rays of Ught which come from S will, by the two refleotions at D and B, enter the telescope in the dfrection E F, in which dfrection the rays from H also enter the teleacope. Whence it ia evident, from the expla nation we have given of the nature and action of the telescope, that both sets of rays wiU be mixed by the telescope, and enter the eye just as if they came from one object. To the eye, therefore, looking through the telescope, 8 wUl appear to coincide vrith H. Hence we may state the principle of Hadley's sextant as foUows : — When the telescope is dfrected towards a star H, and the index arm is moved tiU another star 8 is seen to coincide apparently vrith H ; then, the number of degreea, minutes, and seconds shown by the index B on the graduated arc A C, gives the angular distance of the star S from the star H, that is, the number of degrees, minutes, and aeconds between 8 and H on the celestial sphere. 481 Method of observing with Hadley's Sextant. — Suppose we wish to obaerve the angular diatance between two stars 8 and H. Holding the in strument by the handle in the right hand, and the plane of the instmment (that is, the plane DAC, fig. 147,) as nearly as possible in the plane in which the two stars are situated, direct the telescope towards tbe lower starH, and, holding the instrument as steadUy as possible, move the index arm back wards and forwards with the left hand tUl the other star S appears in the field of view. The moment the two stars are, as it were, thus caught in the field of view, tighten the clamping screw T, and then turn the tangent screw untu the star S appears to come exactly unto the same place aa H, so that both seem to be coincident vrith each other. When this is done, the observa tion is made, and the observer has only to look at the index B, which, with the help of the vemier, wiU ahow in degrees, minutes, and seconds, the an gular distance between the two atara. 482 Adjustments of Hadley's Sextant. — We shaU only mention here the adjustments which it is always neceaaary for the observer to attend to, which are effected by meana of two screws at the back ofthe instrument, close under the half-silvered mirror E, and by a screw at the back of the index mirror D, 138 MATHEMATICAL GEOGRAPHY. Ofthe two former screws, one alters the inclination of the half-sUvered mirror to the plane of the instrument, that is, the plane A B C D, fig. 147 ; and the other alters the incUnation of the halif-aUvered mirror to the index mirror. Theae two screws have mUled heads generaUy, and may be turned by the hand. The screw at the back of the index mirror D alters the inclination of that mirror to the plane of the instrument. This screw has not a miUed head, and must be tumed by a screw driver, for this reason, that it ought to be meddled with as Uttle as possible. When the instrument ia properly adjuated, both mirrors should be per pendicular to the plane of the inatrument, and they should be exactly paraUel to each other when the index B is at the zero of the graduated arc A C. 483 Adjustment qf the Half- Silvered Mirror. — Bring the index B to the zero of the graduated arc, making it exactly coincident vrith the zero by tightening the clamping screw T, and then using the tangent screw S.- Then, holding the instrument by the handle, dfrect the telescope towards a distant, weU-defined, smaU object, (it must be a distant object,) say, for instance, a bright star. On lookmg through the telescope, the observer wfll see the star double if the adjustments be not perfect, one image being formed by therays which come through the unsUvered half of the nurror E, and ihe other by the rays which fall on the mirror D, and are reflected by the sUvered half of E to the telescope. Let the observer now tum in succession the two screws which adjust the mirror E, and he wiU perceive that one of these screws makes one of the images appear to move at right angles to the plane of the instmment, and the other in that plane. All that he has to do in order to adjust the mirror is, to make the two images of the star exactly coincident with each other, by turning one or both the adjusting screws, aa the case may requfre. When he sees the star single, then the adjustment is complete. 484 Adjustment of the Index Mirror. — This adjustment should be done by the instrument maker, and the observer ought to be careftil not to disturb it by rough handling, or meddling -with the screw. But, snould necessity requfre it, the adjustment of the index mirror is effected by turning the screw (or screws) at the back of it, tUl the foUowing condition is satisfied. Let the observer hold the inatrument before bim in a horizontal poaition, and in a level with his eye, having the index mirror D next his eye, and the graduated arc ABC away from him. On looking in the index mirror, as he thus holds the instrument, he wiU see the portion B C of the graduated arc refiected ; he wUl at the same time see the arc B C iteelf. In fact, the arc B C, and its reflection in the mirror D, wiU appear to unite at B, and form one continuous arc. Now, the condition of perfect adjustment is thia. — The arc B C and ita reflection must not appear bent or broken at the place where they seem to unite, but they must appear to form one unbroken graduated surface, so that the reflection of the arc B C may look as if it was reaUy the continuation of the arc B C itself. This condition being satisfied, the observer may be sure that the index mirror is truly perpendicular to the plane of the instrument. 485 If this condition appears to be satisfied into whatever position we move the index arm D B, the axia, round which the arm tums at D, must be truly perpendicular to the plane of the instrument, and so far the instrument must be a good one. It requfres a little practice, however, to see whether this condition is accurately satisfled or not. But extreme accuracy is not necessary in this adjustment, 486 Dark Glasses. — There are always a set of dark colom-ed glasses near the two mirrors D and E, which may be placed before them or not at pleasure. The use of these glasses is to destroy the excessive glare of the Sun, when it is necessary to make an observation upon bim. USES OF hadley's SEXTANT. 139 V, Uses of Hadley's Sextant. 487 Hadley's sextant may be used to observe the angular distance between two heavenly bodies in the manner we have explained. Thus, the Moon's distance from a fixed star may be observed, and the longitude thence detennined, according to the method we haTe explained. This is a pecuUarly Taluable method at sea, aa Hadley's sextant is the only instrument that can be used for measuring angular distances on the unsteady deck of a ship. The observer at sea often Ues on his back, in order to manage the inatrument with greater ease and steadiness. 488 Observation of Altitudes by means of Hadley's Sextant. — If it be necessary, as it continuaUy is, to observe the Sun's altitude at sea, the observer dfrects the telescope of the sextant towards the visible horizon (that is, the extreme boundary of the sea, where it appears to touch the sky,) hold ing the instrument in the aame vertical plane with the Sun, as nearly aa he can judge. He then makea the Sun appear in the field of view, and, by the tangent screw, in the manner afready described, causes the image ofthe Sun juat to touch tiiat of the sea. In this manner he finds the angular distance of the Sun from the risible horizon — ^that is, the Sun's altitude above the visible horizon. 489 But since the visible horizon at sea is a Uttle below the real horizon, in consequence of the observer being at some elevation above the surface of the sea, there must be an aUowance or correction to obtain the true altitude of the Sun above the horizon. This correction is caUed the correction for the dip of the horizon. The manner of making it is explained in treatises on Nautical Astronomy. 490 Altitudes on land are observed by the aid of an artificial horizon. (See Article 473.) The teleacope is pointed at the image of a heavenly body seen by reflection in the trough of mercury, and the heavenly body itself is brought into the field of view by moving the index arm, and made to coincide exactiy vrith the image seen in the trouM of mercuiy by means of the tangent screw. In this manner, the angular distance of the heavenly body from its image reflected in the frough of mercury is determined, and half that angidar distance ia the altitude of the heavenly body above the horizon, aa we have explained in Article 472. 491 Determination of the Latitude of a Place by Hadley's Sextant. — We have afready explained how the latitude of a place is found by observing meridian altitudes. For this purpose, the graduated cfrcle with which we obaerve muat be placed exactly in the plane of the meridian. Now, this we cannot do with Hadley's sextant, inasmuch aa we hold it in the hand, and therefore cannot be sure whether it is exactly in the meridian plane or not. To obviate this difficulty, meridian altitudes are observed by means of Hadley's sextant in the foUowing manner : — The observer makes as good a guess aa he can at the position of the meri dian, either by means of a magnetic compass, or the pole star, or otherwise ; and he commences his observations on the heavenly body whose meridian altitude he wishes to determine, a short time before it comes on the meridian. He observes several altitudes of the heavenly body in auccession at short intervals, which he finds to increase for a certain time, and then to diminish ; for the heavenly body culminates, or attains its greatest altitude, when it comes on the meridian. Hence, the observer has only to select the greatest of the altitudes he has observed, and that cannot differ materiaUy from the meridian altitude, if the obaervations have been made quickly one after the other at the time when the observer perceives the altitudes to increase very slowly and then begin to diminish. There ia, however, a simple mathematical rule, caUed the Eule of Inter polation, by which the observer may determine the exact meridian altitude, and the time of transit acroaa the meridian, from a few altitudes observed 140 MATHEMATICAL GEOGRAPHY. every five minutes or so about the time when the heavenly body comes on the meridian. In this manner, Hadley's sextant may be used with consider able accuracy to determine the meridian altitude and time of transit of a heavenly body. 492 The greatest altitude of a heavenly body is easUy determined by graduaUy turning the tangent screw, so as to keep the body and its reflected image in contact as long as the body is ascending, and ceasing to turn the screw as soon as the body appears no longer to ascend. The reading given by the index wUl then be the greatest altitude of the body. It is important to observe, that though the greatest altitude may be thus found with tolerable accuracy, the time of the body's tranait over the meridian cannot be found with any degree of exactneas in this way, as a Uttle consideration wUl show. 493 Hence the time at any place may be determined by means of Hadley's sextant, by obaerving tne time of teansit of the Sun, or any other heavenly -body whose right ascenaion ia known. (See Article 454, &c.) Thus Hadley's sextant may supply the place of a transit instrument ; it is not, how ever, to be compared with a transit instrument as regards accuracy in deter mining the time of transit. 494 We may observe here, that when we speak of the altitude of the Sun, we mean the altitude of his centre, and therefore when we make the Sun's lower limb appear just to touch the sea, we take the altitude of the Sun's lower Umb, and not ofhis centre. It is necessary to correct this error, which is often done by means of a table in the Ephemeris, or Nautical Almanack, which gives the number of degrees, minutes, and aeconda, in the Sun's apparent semi-diameter, which must be added to the altitude of the lower hmb, in order to give the altitude of the centre. Sometimes the altitudes of the upper and lower Umbs are observed, lialf the sum of which wUl be the altitude of the centre. 495 The same remarks apply to the Moon, but, one side of the Moon being generaUy dark and indistinct, the aecond method doea not always apply, and therefore the altitude of the Moon'a centre must be found by observing the altitude of the enUghtened limb, and adding or subfracting the semi-diameter, according as the enUghtened Umb is lower or upper. The apparent semi-diameter must be giTen in the Almanaci, because it is a Tariable quantity, being greater or less according as the Moon or Sun ia nearer or farther off. Befraciion. 496 We have alluded to the astronomical corrections in two or three places already, and ejrplained in a former chapter the causes of some of them. Two of them are optical, arising respectively from a real and an apparent deviation of the Ught, which comes from a heavenly body to the eye, from ita rectilineal course. Another correction arises from the observer's change of position, which produces a corresponding apparent change in the positions of the Sun, Moon, and planets, the stars being too far off to be affected by it. Lastly, the correction for Precession and Nutation is due to the actual motion of the Pole caused by the attractions of the Sun and Moon on the Earth, whose deriation from a perfectly spherical shape, combined with its rotation, caused the Pole by these attractions. We have only space to aUtide briefly to one of these corrections — indeed, the fuU explanation of them would requfre too much mathematical information on the part of the reader to admit of saying much about them here. 497 We have afready explained tho manner in which the refraction of hght takes place when it comes from a heavenly body to the eye, by the refractive power of the atmosphere. This refraction always makes a heavenly body appear higher up than it rcaUy is, and that iu a greater degree according as the body is noai-cr to tho horizon. A body in the zenith is not affected by refraction ; at 45° from Iho zenith it is olevalod about 1' bv refraction, and at REFRACTION. 141 the horizon as much as 33'; so that the amount of refraction increases rapidly towards the horizon. 498 The density of the atmosphere, aa is weU known, is continually changing, in consequence of the continual variations of pressure and tempera ture which, from various causes, are always taking place at the earth'a aur face. The barometer is an instrument which meaaurea the preaaure of the afr, and therefore its density, provided we take proper account of its tem perature. Now, the refractive power of a transparent substance increasea vrith its density, and the atmosphere is no exception to this rule. Hence, the indications of the barometer must always be observed before we can make a correct aUowance for the atmospheric refraction. It appears that the refraction of the atmosphere mainly depends upon its density, and that it varies very Uttle in consequence of changes of tempera ture or humidity. 499 Since refraction always makes heavenly bodies appear to be higher up than they reaUy are, the correction for refraction must alwaya be aub- fracted from the obaerved altitude of a body in order to find its true altitude. The foUowing formula givea the amount of the correction for refraction of a heavenly body not far from the zenith : — Let z be the observed or apparent zemth distance of the body, and r the correction; then r = 57" X tan. z, _ and the true zenith diatance is z -\- r: that is, in order to find the true zenith distance, aa far as refraction is con cemed, multiply the tangent of the observed zenith distance by 57", and the result added to the observed zenith distance wUl give the true. This supposes the barometer to atand at its mean elevation, about 29| inches, and the thermometer at the mean temperature, about 50 Fahr. If this be not the case, we must multiply the above formula by the quantity sg:^ to correct for the barometer, and moreover by the quantity . -„ to correct for the thermometer : b being the height of the barometer in inches, and t the degree of the thermometer, (Fahr.) The formula for r vrill therefore be — ,-»// b 500 , , ^ = 57"X2g:gX^— ^Xtan,«. Furthermore, if the body be not near the zenith, instead of tan. z, we must put tan. (z — 230" tan. z) ; that is, the formula for r wUl be— - = s7" X 2A X mh X *-• (^ - ^3*^" '^- '^ Thia formula is nearly coincident with one given by Bradley, only it has 230" tan. z, instead of 3 X 57" X tan. z, aa in Bradley'a formula. The rule, then, for finding r is as foUowa :— Multiply the tangent of the observed zenith distance (z) by 230", subtract the result from z, and find the tangent of the remainder, which multiply by 57". The quantity thus obtamed must be multipUed by the height of the barometer (b), and dirided by 29-6 ; also, it must be multiplied by 500, and divided by the temperature (i), increased by 450. The final reault thus obtained ia the value of r, which muat be add.ed to z, and the tme zenith distance ia thua obtained. This ia the only correction necessary iftbe heavenly body be a star ; butif it be the Moon, another correction, eS\eA. parallax, muat be appUed: ofthis, however, we cannot speak here. For the sake of the reader who does not understand what a tangent is, we give the foUowmg short table, in which the tangent for every degree is given. By this table he may calculate the value of the refraction. Practical men generaUy find the refraction, not by a formula, but by a table of refrac- tiona, in which the value of the quantity 57" tan. (z — 230" tan. z) ia given 142 MATHEMATICAL GEOGRAPHY. for all the values of* between 0° and 60°. "The angles are given in degrees, and the tangents to three decimal places, which is sufficient for the present purpose. Angle. Tangent. Angle. Tangent. Angle. Tangent. 1 •017 21 ¦384 41 •869 2 •035 22 •404 42 ¦900 3 •052 23 •42 i 43 ¦933 4 •070 24 •445 44 ¦966 6 •087 25 •466 45 1-000 6 •105 26 ¦488 46 1-036 7 •123 27 •510 47 1-072 8 •141 28 •532 48 1-111 9 •158 29 ¦554 49 1-150 10 •176 30 ¦577 50 1-192 11 •194 i 31 ¦601 51 1-235 12 •213 32 ¦625 52 1^280 13 •231 33 •649 53 1-327 14 •249 34 •675 54 1-376 15 •270 35 •700 55 1-428 16 -287 36 •727 56 1-483 17 -306 37 •754 57 1-540 18 -325 38 ¦781 58 1-600 19 •344 39 •810 59 1-664 20 •364 40 •839 60 1-732 1 CHARTOGRAPHY. NEITHEE the nature of the present work, nor the space to which we muat limit ouraelves, permita our treating in extenso of Chartography ; a subject which, if fuUy developed, would of itself fiU a large vwume and requfre a great many plates. We must accordingly confine ouraelves to a brief notice, in which, however, we wUl endeavour to give aU the information we can, consistently vrith a popular work Uke the present. By Chartography, in its vridest sense, is understood the conatmction and delineation of mapa, charts, and plans, no matter for what special purpose, upon what projection, or on what scale. The dfrect object of maps is to represent the whole or some portion of the Earth's surface; but as this surface ia spherical, it is evidently impossible to reduce it, or any part of it, to a fiat surface, without a greater or less distortion of its detaUs : whence it foUows, that the only way in which the Earth can be accurately figured is by a globe ; and even then the elevations of the surface cannot be shown in thefr proper rehef, as the highest mountains wotild be less than the thickness of the paper on an eighteen-inch globe. Tbbsesteial Globe. — An artificial globe is a miniature representation of our planet, with its grand dirisions of land and water, and on which all the regions of the Earfli may be correctly laid down as regards position, form, area, and distances. We do not mean to say, that even on the best globes eveiything is mathematicaUy correct, for we are far from possessing the exact latitudes and longitudes of aU placea on the aurface of the Earth, and until we have theae, the position of many places, even on the most perfect globes, must be regarded only aa approximationa to truth. But aa far as positions are determined, they may be more exactly represented on a globe than on any map. The ordinary size of globes, however, does not admit of much detaU, and although very large globes have been conatructed, they are rather objecta of ourioaity than of practical utility. Even a four-foot globe takes up a great deal of room, and ia only fit for large Ubrariea or pubUc teaching. In very large globea, again, any amaU portion of the surface has so Uttle convexity, that if the country contained in such portion were pro jected on the plane surface of a map, the forms would hardly be distorted, and the relative distances of placea so near tbe tmth, that the globe, in such case, would, as far as such country was concemed, offer no great practical advantage. Globes are, nevertheleaa, very deafrable, both as conveying, upon simple inspection, a much more correct notion of the true forms of regions, and the relative positiona of places, than can be done by maps, and aa enabling ua to aolve a great many intereating problems : the best adapted for general use are of eighteen inches diameter. The most accurate gtobes are those on which the detaUa of the surface are drawn upon the globe itaelf dfrectly, and this is always done in very large globea ; but such are, of course, very expensive. The usual mode ia to cover the globe with a map conatructed and engraved emreasly for the purpose, in a number of separate pieces or slips, caRed gores (in Viench, fiseaux), generaUy twelve, fifteen, or twenty-four, bounded each by meridian lines, and termi nating at the North and South Poles, or at the Arctic and Antarctic cfrcles, m which latter case, two cfrcular pieces are requfred for the two frigid zones. As each gore is a fiat surface, it can be made to coincide with the convex surface ofthe globe only by the paper itself yielding or stretching, and it wfll be easily conceived, that the pasting on of the paper, ao that each aeparate gore ahaU exactly meet vrithout tearing^reaentmg folds, or overlapping, ia a very difficult and delicate operation. When the paating is dry, the globe is coloured and vamiahed, and then mounted. There are various waya of setting 144 CHARTOGRAPHY. up a globe; the most usual is to fix it within a brazen meridian, set in a hori zontal frame, caUed ihe wooden horizon, and as the mounting requires as much care as is necessary for pasting the map, we are not to be surprised if many globes are very imperfect, a fact of so much the more importance aa a globe is useless unless it be perfect in aU respects. We therefore recommend to every one who would possess a reaUy good globe, to examine it weU before purchasing. The characteristics of a perfect globe are aa foUow:— 1. AU the meridional edgea of the sUps or gores must ioin so perfectly as to form continuous fine cfrclea, neither overlapping nor failing to meet. 2. AU these cfrcles must be true, which is seen by bringing them successively under the Brazen Meridian, vrith which they should correspond aU the way round : if they do not, the fault may be either in them or in the brazen meridian itself, wliich is not perhaps in a true plane, 3, When the poles are brought to the wooden horizon, in what is termed the right position of the sphere, each meridian brought successively to the wooden horizon, should correspond vrith it aU the way round. 4, The brazen meridian must be in a plane exactly perpendicular to that af the wooden horizon, which it is, if, whUe any one meridian on the globe corresponds with it aU the way round, the equator corresponds at the same time with the wooden horizon aU the way round. 5. Every one ot the paraUels of latitude muat form continuoua and perfect circles aU the way round, and, on turning the globe, must each of them correspond in aU its parts vrith the same precise point on the brazen meridian, 6. When the equator is made to correspond vrith the wooden horizon, the two zero points of the brazen meridian must correspond exactly with the upper surface of the wooden horizon, in which case, they wUl, of course, also correspond exactiy vrith the equator on the globe. 7. AU the degrees on the equator, on the echptic, on the first meridian, drawn on the globe, and those on the quadrant of altitude, when there is one, must be exactly similar. In order to ascertain whether lliey are so, take vrith the compasses any number of degrees from any one of these cfrcles, and apply the measure to aU the other cfrcles, and see if it intercepte on them all and everywhere the same number of degrees. In Uke maimer, the degrees on the brazen meridian and on the wooden horizon must exactiy correspond to each other, 8, The brazen meridian must sUde with ease through the notches cut to receive it in the wooden horizon, but must not be so loose as to shake in it, 9. As the globe is turned round, every part of its surface muat be equi- diatant from the brazen meridian and from the wooden horizon, and the nearer the better, provided aU be so true that there is no danger of mbbing. This is the true cnterion of a weU set globe. 10. The globe must be so truly balanced upon its poles, as to remain quite motionless the moment you cease turning it, the poles being placed horizontaUy. 11, In the right and in eveiy other position of the globe, except the paraUel, the equator, on turning the globe round on ite axis, must correspond to the same points on the wooden horizon, which pointe are at 90° from the intersection of the brazen meridian with the horizon. 12. Every part of the polar and tropical cfrcles must correspond with thefr known latitudes on the brazen meriaian. With respect to the geography of the globe iteelf, it is necessaiy to see that it contains aU the latest corrections of positions and discoveries of importance, that no place of real note is omittedt that the names be weU and diatinctly engraved, and that they be not too crowded, Lastiy, the wooden horizon must be examined with reference to the several cfrcles marked upon it, each of which must be properly graduated, and thefr several portions in their true places, as regards the other circles and the globe iteelf. Wo have spoken omy of the terrestrial globe, and of the more usual way PROJECTION OF MAPS. 145 of setting or mounting it. There are various other modes,* but which our limita wtII not admit of our detailing. As for the Celestial Globe, it is destined for astronomical purposes, and is therefore foreign to our subject. It is only by means of a globe, we have said, that the Earth's surface can be correctly repreaented ; but as a globe is neither portable, nor capable, from its amaU size, of exhibiting the details which are often required, we must have recourse to maps, the great and indeed only disadvantage of which consists in the impossibUify of truly representing a spherical on a flat surface. Peojection of Maps. — Difi'erent methods haTe been derised for the construction of maps, so that the real figure of the several regions of the Earth ahaU be as Uttle distorted as possible. These constructions are called Projections. We cannot here enter into the elaborate researches, the com phcated analyses to which some of the greatest mathematicians haTe sub jected the different projections and thefr modifications ; we wiU merely explain the geometric construction of auch aa are most commonly employed. There are Utc principal projections — namely, 1, The Orthographic, 2, The Stereographic, 3. The Globular, or Equidistant, 4. The Conical, and 5, The CyUndrical, or Mercator's, In the orthographic, the stereographic, and the globular projections, the plane of projection, or the flat surface on which the map ia drawn, is supposed to pass through the centre of the globe ; but in the first, the orthographic, the eye of the observer is auppoaed to be at an unmeasurable distance ; in the second, or stereographic, it is presumed to be at the surface of the globe ; and in the thfrd, or globular, it ia supposed situated at a point whose distance from the surface of the globe ia equal to the aine of the angle of forty-five degrees. In order the better to underatand how, in the aeveral casea, the picture is formed upon the plane of projection, it is customary to imagine both that plane and the globe to be transparent. Now, it is clear, that as we aee every thing we look at through a pane of glass, as if it were drawn upou such plane of glass, so in the above supposition, aU the details of the hemisphere on the opposite side from the spectator would appear to him as though they were drawn upon the transparent diaphragm or plane of projection. But unleaa this supposition be limited, it is more likely to create a confusion of ideas than assist the student in forming a right conception of the subject ; for whUe, in considering the geographical position of any place on the Earth's surface, we always refer to our own position as external, and thus say the east is to the right when we face the north, it is evident that in a picture traced according to the above supposition, we seethe objecta reveraed, so that what is reaUy to the east appears to be to the west. The fact is, nothing of the surface of the sphere is projected but its great and smaU cfrcles, and so far only as these are concemed, is it safe to admit the imaginary transparency aUuded to. When once the paraUela of latitude and the meridians are projected, the several regions of the Earth are laid down upon the map in conformity with the latitudea and longitudea of their aeveral parts. The Oethogbaphic Peojection. — In this projection, the eye of the spectator is conceived to be at such a distance from the plane of projection, that the risual rays which traverse it in thefr passage irom different points of the hemisphere beyond, are aU parallel and faU perpendicularly upon it, whence it foUows that equal apacea on the hemispherical surface are represented by unequal apacea on the plane of projection. * A mode of mounting globea, far superior to that usually adopted, was proposed by Adams, and executed with improvements by C. Covens : a description and plate of it will be found in Malte Brun's Precis de Geographie Universelle. L 146 CHARTOGRAPHY. Fig. 1 Thus, let A B C (fig. 1) represent a section of the hemisphere divided into nine equal arcs, and A C a section of its plane of projection. Now, if from the several points on A BC, paraUel visual rays be drawn perpendicularly through A C, it ia erident the apacea intercepted between theae rays wiU be unequal, whUe the points whence they proceed are equidistant from each other. It wiU further be observed that those nearest the centre approach nearest to equaUty, whUe thoae farther removed from it diminish in proportion to thefr distance. As aU the parallels of latitude are in planes per pendicular to the plane of projection, they will be projected in straight Unes, wmle aU the meridians, except the central one, vriU be projected in eUiptical curves. The mode in which the orthographic projection is graphicaUy constructed ia repreaented (fig. 2). A cfrcle N E S W ia drawn, repreaenting the meridian bounding the plane of projection. Two diameters. W C E and N C 8, are next drawn at right angles to each other : the former being the projection of the equator, and the lat ter that of the central meridian. The quadranta of the cfrcle are then re spectively divided into spaces of ten degrees each, marked 10, 20, 30, &c., from the extremities of the equator towards the poles N and 8. From these points draw lines paraUel to the equator, and theae wUl represent the paraUels of latitude for every ten degrees. Now, from thefr extremi ties, let faU perpendicu lars upon the equator, and through thefr points of contact with it, draw eUipses vrith N C S for a common transverse axis. Fig. 2 These Thus, and with CI, C 2, &c. respectively for half thefr conjugate axes. curvea wUl be the projections of the several meridians. The same projection may be effected on the plane ofthe equator. (fig. 3,) describe a cfrcle to represent the equator, the cenfre ofwhich circle will represent the pole. Then draw two diameters at right angles to each other, and divide each quadrant, aa before, into nine equal parte. From these points draw diameters to the correaponding divisions of the opposite quadrant, and these Unes wiU represent the meridiana, any one of which being takeu for the firat, the othera muat be numbered 10, 20, 30, &c., half way round on either side, to 180. Next let fall perpendiculars from the divisions of one of the quadrants on one of the radii, and tlu'ough the points of intersection 1, 2, 3, &c., describe circlea to represent the paraUels, marking them from the outer to the inner with tho numbers 10, 20, 30, &c. for the degrees of latitude. THE STEREOGRAPHICAL PROJECTION. 147 Fig. 3 As aU the quadrUate- ral spaces in figs. 2 and 3 represent ten degrees of longitude and as many of latitude, thefr simple in spection ahows that, with ' the exception of such placea as occupy the cenfres ofthe projections, the aeveral regions, parti cularly those nearest the cfrcumference, must be most dreadfuUy distorted in form, and diminished in magnitude. The Steeeogeaphic Peojection. — This pro jection differs from the former, in presuming the eye ofthe speotatorplaoed at the surface ofthe globe and exactly opposite the cenfral point ofthe plane of projection, which, as in the former case, is supposed to diride the globe into two halves, the farthest ofwhich from the observer being that whose lines are to be projected. From the proximity of the eye, the visual rays, instead of being paraUel, aa in the former caae, aU converge from the hemisphere to the point of pro jection, so that wbUe equal spaces on the hemisphere are stUl represented by unequal spaces on the projection, the inequality is not near so great as in the former case, and the spaces, instead of diminishing from the centre _ tow^ards the cfrcumference, diminish in the contrary direction — namely, from the cfrcumference towards the centre. This is rendered evident by fig. 4, in which the visual rays, pass ing from the equal spaces, into which the hemisphere, represented in sec tion by the arc ABC, is divided, in tercept spaces in the plane of pro- - — ::;";V;'-?S^ !?^ jection (of which A C is the section) so much the larger as they recede from the centre. This inconvenience, however, is in part compensated by the property enjoyed by this pro jection of representing all the flgures on the sphere' by similar figures, and oonaequently aU the right-angled quadrilateral spacea formed on the sphere by the intersections of the meridiana and paraUela are projected into simUar figures, so that the countries are not distorted in form, as is the case in the orthographic projection. The stereographic projection of a hemisphere on the plane of a meridian is thus effected. Deacribe a cfrcle N E S W (fig. 5) repreaenting the meridian that cfrcumacribea the plane of projection, and draw two diameters, N C 8 and WOE, the former to represent the projection of the central meridian, andthe latter that of the equator. Then divide the quadrants from the equator to the polea into 6 or 9 equal parts, according aa it ia requfred to have the paraUela at 15 or at 10 degreea apart, (in the figure they are at 10 degrees), l2 148 CHARTOGRAPHY. Fig. 5 and number them successivelj- 15, 30, 45. &c., or, as in the fig., 10, 20, 30, kc. From 8 draw lines to the several divisions, as S 10, 8 20, &c., and tbeir inter section with the line WC E wUl be the points through wbich the circular arcs representing the meridiana must be described. For the parallels, draw lines, in like manner, from either extremity of the line W C E to the divisions of the oppoaite quadrant, and thefr interaection with the central meridian wfll be the points through which the area ofthe paraUels are to be struck. The places of the centres from which the paraUela are described, depend on the principles which determine thia projection ; one of which is, that the distances of the centrea of the paraUels from the centre C of the projection, are equal to the aecants of their distance from the pole, and accordingly, if the length of these secants respectively be marked off from C on the prolon gation of 8 C N, they wUl give the centres from which to describe the paraUels. Thus, if a tangent N O be drawn paraUel to W C E, and lines drawn to it from the centre C through the dirisions 80, 70, 60, &c., theae latter wfll be the secants reapectively ofthe angular distances of theae paraUels from the pole: C a the secant of 10 degrees, or the distance of the 80th paraUel from the pole ; C b the secant of 20 degrees, or the distance of the 70th paraUel, and so on. Transport theae distances successively from C on C N prolonged, and they vriU give the centrea aought ; or, what ia the same thing in flieory, though impossible in practice, draw lines from W through the divisions of the quad rant on the same side of the central meridian, untU they meet the prolongar tion of C N, and half the distance between these intersections and tne corre sponding ones on N C wiU be the places of the centres. Another principle ofthis projection is, that the distance of the centre of projection of any great circle oblique to the plane of projection, is equal to the tangent of tlie angle at which the cfrcle is incUned, and its radius ia equal THE STEREOGRAPHIC PROJECTION. 149 to the secant of that angle. Hence the centres for describing the meridians may be found by transporting the tangents of 10, 20, 30, &c. degrees already found — ^viz., N a N b &c. to the line C E and its prolongation, as shown at C a', C b', C c', &c., and from these points, with the secants, likewise found as Ca, Cb, &o. for radu, describe the meridianal arcs. Or the centres for the meridians may be found thua : from the divisions of the quadrant WN draw diameters to the opposite quadrant, as A A', B B', &c. Through A', B', &c. draw lines from S, and produce them tUl they meet the prolongation of W C E in 1, 2, 3, &c. ; then half the distances respectively between theae points, and the intersections previously found of the line W C, wUl be the centres sought : that is, the middle a' of the line 1, 10 wUl be the centre for striking the meridian S 10 N, the middle b' of the Une 2, 0, the centre for 8 0 N and so on. It wUl be observed that these points a' b' &c. are precisely thoae that were found by teansporting the tangents N a, N b, &c. to C E. The appUcation ofthis projection to the plane of the equator is exceedingly simple. Thus, (fig. 6) de scribes a cfrcle EQUA to represent the equator ; draw two diameters at right angles to each other; diride each of the quad rants thus formed into nine equal parts, and from the divisions on E Q draw linea to A; thefr inter- sections with E P wUl be the points through which cfrclea muat be deacribed from P, the pole, to re preaent the paraUels ; whUe radu drawn from P to all the dirisions on the equator vriU be the projections of the meri dians. As the globe may be divided into two hemi spheres in an inflnity of waya, so many difi'erent planes of projection may be chosen, besides those on a meridian or on the equator, and accordingly hemispheres are sometimes projected on the plane of the rational horizon of some particular place, as on the horizon of Paris, as has been done by Lapie ; on the horizon of London, as has been done by Mr. W. Hughes, &o. These projections, caUed horizontal, (as thoae on the plane of a meridian are caUed equatorial, and those on the plane of the equator are'caUed polar,) are ex teemely interesting, but the constmction is somewhat complicated : we shall explain it as appUed to the horizon of London. Deacribe a cfrcle NES W, (fig. 7,) and draw two diametera, N 8 and WE, at right anglea to each other. From N, mark off on the quadrant, N W, a number of degrees equal to the latitude of the place, or height of the pole above the horizon, (in the present case,) 51° 30', and P wiU be the place of the superior pole. From it, draw the diameter P P', and P' wUl be the place of the inferior pole. The eye being at E, draw E P, and its interaection with N 8 in p vrill be the projection of the upper pole. Draw also the Une, E P', and produce it tUl it meet the prolongation of N S in p', then pp" vriU be the projection of the meridian PP'. Now aet off on either aide of P aa many times ten degrees, or the ninth part of a quadrant, as there are paraUels that diatance apart, between thc pole and aouthern part of the 150 CHARTOGRAPHY. horizon, (in the present case twelve,) and draw linea from these points to E, the intersection of the ninth of which vrith the Une N S, south of the pole p, at Q, wiU be the point through which the projection of the equator muat pass, and the other intersections, the pointa for the several paraUels, the centres for which and for the equator, wiU necessarUy be on N 8 and its pro longation, and are determined by find ing the middle point between the cor responding intersections 80 and 80, 70 and 70, &c. For the meridians, it must be re membered that pp' represents the poles, and the Une joining them, a meridian Fig, 7 passing through the middle of the he misphere, (the meridian, in fact, of London, whose place is at L, in the zenith of its horizon, NE 8 W,) and accordingly, all the other meridians must meet this one at the poles, under angles equal to their difference of lon- f itude from thia meridian. If then we iaeot the diameter p p' in C, and vrith C p for radius, deacribe the arc W p E, it wUl be the projection of a meridian at 90° from the meridian of London. AU the other meridiana wiU have their centres on the Une ACB drawn perpendicularly to p p', and their places THE GLOBULAR PROJECTION. 151 are found thus:-— -From p, as a centre, describe a cfrcle with any radius, say p C, and divide it into thirty-six equal parta, beginning at C. Then from p, through these dirisions, draw Unes tUl they meet the line ACB, and their intersections with it vrill be the centres for d.eacribing the meridiana. In the two figurea, 5 and 7, we have drawn only a few of the meridians and paraUels, in order not to create confusion by the great multiplicity of linea: it wUl be self-evident to the reader, that whatever constructive operations are deacribed for one aide ofthe central meridian, must alao be performed on the other in the opposite dfrection, in order to complete the projection of aU the cfrclea. It is also vrith a view of avoiding too many unes that we have not traced the polar nor the tropical rircles, but aa their distance respectively from the poles and from the equator is known to be twenty -three and a half degrees, nothing more is necessary for tracing them than to set off those distances on the quadrant from the N and S points of the cenfral meridian, and from the E and W points of the equator, and then describe these cfrcles by the same processes as have been explained for the paraUels. The Globttlab Peo jection, — We have seen that, whereas in the orthographic projection, equal spaces on the globe become very much con- fracted towards the exfremities of the projections, they are, on the contrary, greatly enlarged at thoae parta in the stereographic. In order to rectify these opposite defects, La Hfre conceived that between the indefinite distance at which the eye is supposed to be in the case of the orthographic projection, and its position at the surface of the sphere in the stereographic projection, there muat be a point from which they would be, if not whoUy compensated, at leaat greatly reduced, and this point he determined to be at a diatance from the surface of the sphere equal to the sine of the angle of 45°, or what is the same thing, if the meridian N 8 (fig. 8) be 200 parts, it muat be prolonged 70 of these parta to S'. If, then. Fig. 8 viaual raya be dravni from S' to the divisions of the quadrant, thefr intersec tion vrith C W wiU deter mine apacea much more equal than in the former prgjectiona. Indeed, if F D be the aine of 45°, it ia evident that a Une drawn from 8' to D vriU exactiy bisect the radiua C E in d, so that the equal arcs E D and D N are represented by equal apaces E d and d C. AU other arcs, however, wiU not be so exactly repre sented by equal spaces. The geometrician. Pa rent, found that by plac ing the point 8' at only 59A parts from S, aU the inequaUties of the spaces on C E or C W would be the least possible ; but in order to have the zones of the hemiaphere re spectively proportionate to those of^ the aphere. s'' 152 CHARTOGRAPHY. the point 8' muat be placed at 110| parta from 8. StUl this projection, how ever modified, is very defective, inasmuch as the paraUels and the meridians do not intersect each other in it at right angles. It is, moreover, difficult to construct, as aU the paraUela and meridiana are repreaented by ellipaea. The Equidistant Peojection. — We have said that in the globular projection, the spaces re presenting equal arcs of the sphere are nearly equal; whenever, there fore, this projection is used, there is very httle disadvantage resulting from rendering them ex actly equal, and when thia is done, the projec tion is caUed the Equi- distant. Ita mechanical constmction is as foUows : Deacribe a cfrcle N E SW, (fig. 9,) and draw two diameters, N C S for a cenfral meridian, and WCE for the equator. Divide each of the quad rants into nine equal parte, and each of the semi-diameters, C N, CB, &c. also into nine equal parts. Then find on the prolongation of N 8 both ways, the cenfres of circles whose arcs must pass through 80 a 80, 70 b 70, 60 c 60, &c., and these arcs, described both on the North and onthe South ofthe equator, wiU be the parallels. In like manner, find on the prolongation of W E both ways, the cenfres from which to strike the meridians, all ^'S 10 ofwhich muat join at the polea, and paaa through the pointa 1, 2, 3, 4, &c. Having selected that meridian which is in tended for the first, number the others suc cessively 10, 20, &c. to the right and left of it. For a polar projec tion, (fig. 10,) describe the cfrcle A B D E ; this wUl represent the equa tor. Draw two diame ters at right angles to each other, A D and E B, for two meridians at ninety degrees apart. Divide each quadrant into nine equal parts, and also each of the four rp,du C A, C E, &c. into THE EQUIDISTANT PROJECTION. 153 the fiame number. From the centre C deacribe circles passing successively through the points 1, 2, 3, &c.; these wUl be the projections of the paraUels. Now draw Imea from the several dirisions of the quadranta through the cenfre to the dirisions on the opposite quadrants, and these diameters wUl be the projections of the meridians. Place the numbers denoting the degrees of latill^de 10, 20, 30, &c., upon the cenfral meridian from the equator towards the pok, and from the same meridian place the degrees of longitude on either sidehairroundtol80°. Having thus described the three principal projections employed for repre senting the hemispheres, whether North and South, East and West, or those bounded by the rational horizon of any place and of its antipodes, we will now pause a moment to recapitulate their several defects and relative advan tages; as to the defects, in some shape or other, they are unfortunately irremediable. In the Orthographic projection — 1st. The parallels are projected in sfraight lines, and the meridians m eUipses. 2nd. Equal spaces and distances on the sphere are represented by unequal spaces. 3rd. The spaces lessen suc cessively from the cenfre towards the cfrcumference of the hemispheres. The . consequence is, that whUe the central parts are nearly in thefr correct pro portions, those at a distance from the centre are terribly distorted in form and diminished in magnitude. In the Stereographic projection — 1st. The paraUels and meridians are all projected in arcs of circles. 2nd. In thia, aa in the Orthographic projection, equal spacea and diatancea on the sphere are represented by unequal spaces. 3rd. These spaces increase successively from the cenfre towards the cfrcum ference, so that the parts near the circumference are much too large in relation to those near the cenfre ; but as the paraUels and meridians intersect each other at right angles, the forms oi ihe several regions are better pre served than in the Orthographic projection. In the GlobiUar and Equidistant projections (which differ chiefly in this, that in the former aU the cfrcles of the sphere are projected in ellipses with smaU eccentricity, whereas in the latter they are projected in perfect arcs of circles) — lat. Equal apacea on the sphere are represented by equal or nearly equal spaces on the projection, and accordingly the relative dimensions of the several countries are more correctly obtained; but aa the rectangular apacea on the sphere are not repreaented by simUar apaces on the projection, the forms of the countries are greatly distorted, and the more ao the further from the cenfre ; becauae the nearer to the cfrcumference, the more do the inter sections of the meridians and paraUels differ from right angles. Nevertheless, from the great ease vrith which the equidistant projection is executed, it is very frequently adopted. As for the Globular, some geographers. La Croix amongst others, give it the preference over the two other projections. We, for our own part, prefer the Stereographic. It is almost needless to observe, that the defects of theae aeveral pro- jeetiona are equaUy sensible, whether they be equatorial, i. e. on the plane of a meridian, or polar, i. e. on the plane of the equator. This wfll be evident from simple inspection-of the figures ; though in the case of the Stereographic projection, the enlargements affect the opposite regions in the equatorial to what they do in the polar projection, so that, in some degree, the judgment may be rectified by using both. In the case of the Equidiatant projection . on the plane of the equator, it wiU be aeen that the degrees on the equator and on the paraUels immediately adjacent, are much larger than the degrees on the meridians, and accordingly, countries situated in the equatorial regions must have thefr dimensions in longitude greatly exaggerated. Upon the whole, as theae several projections are never used but for planispheres, the defects we have endeavoured to point out are not perhaps of any great practical consequence, particularly as this kind of map is omy consulted vrith a view to having a general idea of the relative bearings and positiona of the great diviaiona of the terraqueoua globe ; and certainly, of 154 CHARTOGRAPHY. these projections the moat interesting and instructive are those on the plane of the horizon of the capital of the country for which the map is designed. It ia indeed matter of surprise that we see none such constructed on a large scale. Unfortunately, but few map-makers vriU take the teouble to construct them.* A very useleaa custom stUl prevaUs with some map-makers of representing on their planispheres and globes the tracks of the 'Endeavour' and 'Eeso- lution.' Far be it from us to detract in the least from the merits of the immortal Cook ; hia glorious achievements are too indeUbly impressed on the national mind, and have had too great an influence on the commerce of our country; have too largely contributed to its fame ever to be forgotten; but we think that what was not only justifiable but highly proper at the time, from the novelty of Cook's explorations and the wonders brought to light by his circumnavigation, is no longer so, now that vessels of aU the great maritime nations have foUowed in his track and made the tour of the globe, and we hold that no map should contain a single feature that is unnecessary. We come now to the other projections we have named. As the former were, ao to aay, perapective repreaentations, thoae that remain to be apoken of are more properly developments. The utter impoaaibUity of fulfilling all the conditions of a perfect repre sentation of a spherical on a flat surface by any of the means we have detailed, led to the search for others less defective. It was considered that as cones and cylinders are simple curves, suaceptibleof being developed or opened out, without that operation effecting the slightest alteration of these surfaces, or the distor tion of anything represented upon them, and that as these figures correspond pretty nearly with portions of a sphere, the latter might be fransferred to the former, whose development would then give nearly correct representations. The Conic Peojection. — Let N E 8 W (fig. 11) represent a sphere, and A B C a cone cfrcumscribed about it, so as to touch it at the latitude of forty degrees. It is evident, that at the pa rallel of contact, the spherical and the conical surfaces correspond exactly, and this paraUel wUl be represented on the development of the cone by a cfrcle, drawn from its apex A, with the radius A B. Consequently, any portion of this paraUel on the sphere will be identical with its corresponding portion on the cone. Not so, however, with the paraUels above and below it, as thoae of 20° and 60°. Here the aidea of the cone recede from the sphere, and accordingly the cfrclea representing these paraUels, and drawn upon the cone from A, with A H and A P as radu, wiU be somewhat too large. The difference neTortheless is but trifling, as the surface of the spherical zone comprised between the given lati- Fig. 11 * Mr. W. Hughes has published a very beautiful map of the world, in two hemispheres, projected on the rational horizon of Loudon and its antipodes ; London being in the centre of ono hemisphere, and a point a little to the S. E. of New Zealand in the middle of the other. Concentric circles are dr.iwn round these centres at the distance of 1000 miles apart, and the points of the compass being marked round tho borders, the bearing and distance of any place from London are at once ascertained. It will ihrther be seeu by this map, that London is in tho exact centre of all the land portion of the earth ; the opposite hemisphere being all water, with the exception of the tail-piece of South America, and of Australia and its surrounding islands. Tliis litile map is exquisitely engraved, and is highly interesting on every account. THE CONIC PROJECTION. 155 tudes is nearly thc same as that of the conic frustrum H F G I ; the line H F differing but Uttle from tbe arc a b. In consfructing this projection, it is usual to make the cone coincide with the cenfral or mean paraUel of the counfry it is intended to map, and accordingly, aU the distances along that paraUel are as exactly laid down on the map as on the sphere itself, whereas those on the extreme northern and southern paraUels wUl be a Uttle too long, by an absolute quantity, howeTcr, so much the leas aa the spherical zone is the more confracted in the dfrection of the latitude, and vice versa. There are, howcTer, other modes of conceiving the conic projection. Of these, the best is that which was adopted by DeUsle de la Croyere for a general map of Eussia. According to this method, the cone is suppoaed to be in scribed instead of being circumscribed, and it ia made to enter and leave the sphere in such a manner that it co incides vrith it at tioo parallels, each of which ia intermediate between the central one, and one of the exfremes. By this means, the distances on the map are perfectly correct along the two paraUels, where the surface of the cone coincides with that of the sphere, as at C and E (fig. 12), whUe at the intermediate paraUel D 50, the distance is a Uttle too short, and at the exfreme paraUela 30 and 70, a Uttle too long. The errors are thua more equally distributed over the map; and when the extent of lati tude embraced by the map does not extend beyond thfrty or forty degrees, the representation approaches very nearly to exactitude. In the conic projections, strictly so called, the paraUels are always arcs of cfrcles, and the meridiana straight Unea drawn from the common cenfre of the cfrclea, the apex of the cone. This rule has, howcTer, been occasionaUy modified in the way we shaU presently describe. The mechanical conatmc tion of the pure conic projection is as foUows : — When a hoUow cone is placed upon a sphere, the side of the cone forms a tangent to the angle comprised between the axis of the cone and a perpen dicular let fall from the point of contact of the cone with the surface of the sphere to the centre of the sphere, and is a co-tangent of the complement of that angle. Thus, in fig. 11, the side AB of the cone AB C, is the tangent of the angle A O B, and co-tangent of the angle B O W. But the arc W B expressea the latitude of the central paraUel B 40 C, vrith which the cone coincides ; and as this holds good, whatever be the paraUel chosen, it foUows that in determining the projection, in the case of a cfrcumscribed cone, the side ofthe cone muat be made equal to the co-tangent of the latitude of the middle paraUel. The absolute length must be found in degreea and minutes of latitude thus : — Draw an indefinite line A B (fig. 13) to represent the central meridian of the map, and from any convenient point, say C, through which it is intended to make the central paraUel (say that of fifty degrees) pass, set off above and below, and at such mstance apart as shaU represent ten degrees of latitude, according to the proposed scale of the map, the pointa through which the other paraUels are to be drawn. This done, say — As tbe cfrcumference of a cfrcle, or 3-1416, is to its diameter or 1, so are the 360 degrees ofthe cfrcum ference to X degrees, the number contained in the diameter. This vrill be found to be 114-591 degrees, and accordingly the radiua vriU contain the half of thia, or 57-295; and this being multipUed by -839, the co-tangent of 50 degrees, (the latitude of the central paraUel,) gives 48-070505, or 48° 4' 13", which, being taken from the marked off latitudes as a scale, and set off from 156 CHARTOGRAPHY. Fig. 13 C towards A, determines the length of the side of the cone or point O, from which the paraUela through 60, 40, &o. are to be strack, and to which all the meridians must converge. Sfrike from the point O, thua found, an inde finite arc through C; next find the angle which the exfreme meridiana of the intended map must make on either side with the cen tral meridian O B. For this we must con sider, 1st. That the number of degrees con tained in two arcs of equal length is as thefr radii, and that whUe any arc of the paraUel C on the sphere has the cosine of its latitude for radius, the corresponding arc of the cone developed vriU have the side of that cone for radius. Now, the side of the cone has been shown to be the co-tangent of the latitude of C. Hence, if we suppose the map to contain forty degrees of longitude, the angle corre sponding on a plane surface to that number of degreea, in the paraUel of 50°, wUl be as the co-tangent of 50° is to the coaine of 50°; or, what is the same thing, as 1 (radius) : -766 (sine of 50°) : : 40° : 30° 38' 24", the angle required. Set off half this angle on each side of O B, and draw O D and O E for the exfreme meri dians, they wUl intersect the indefinite arc in d and e, the space between which wiU repre sent, or be the development of the forty de grees of longitude requfred for the map. Next divide C d and C e each into two parta, the spaces thus obtained wiU be ten degrees of longitude each ; through them draw the other meridians O F and O G. FinaUy, from O describe arcs, concentric with d e, through the several points marked off at 60, 40, &c. on the cenfral meridian ; then wiU the space contained between the exfreme meridiana and parallels be the conic projection or development of a corre sponding portion of the spherical zone, comprised between the latitudes of thirty and seventy, and embracing forty degrees of longitude, and this development wiU be a correct representation of the corresponding spherical surface, except in as much as the paraUels above and below the central one will be a Uttle too large. A simpler mode of drawing the meridians is to take from a table the number of mUes contained in one degree of longitude at the mean parallel, (or find it by the rule — radius is to cosine of latitude as 60 is to x,) and ten times this (taken from the scale which served to determine the degrees of latitude on the cenfral meridian), aet off twice on each aide of C on the indefinite arc, wiU give the points through which to draw the meridiana 0 F, OG, OD, andOE. In order to find the side of an inscribed cone, as at fig, 12, say — As 57-295 (tho degrees of the equator contained in the radius of the sphere) is to the co-tangent of the central latitude, so is the coaine of the arc contained between the cenfral latitude and either of the paraUels tiirough which the cone ia to pass, to x. Tlus distance from the middle paraUel, measured on the central meridian produced, wUl give the apex of the cone, from which to strike the curvea repreaenting the paraUels. With a view to obviate the errors in distance, measured on the outer parallels as above aUuded to, Murdoch proposed, besides the inscribed cone already mentioned, otiier methods of conic projection. Euler, also, and others, have entered iulo profoimd rcsearclios, nud given directions for different modifica- THE CYLINDRICAL PROJECTION. 157 tions of the projection we are now considering ; but as they only deprive it of its simplicity, without effectually correcting its errors, we shall not deacribe them, stUl less the method of Ptolemy which resembles the conic projection. There is, however, one modification of Ptolemy's method, due originally to Flamstead, but subsequently improved, which, being stiU employed, deserves notice. It consists in the substitution of curvea for the atraight Unea repre senting the meridians, and is thus effected : — Having drawn, as before ex plained, a vertical meridian N 8, (fig. 14,) and described the central paraUel with a radius equal to the co-tangent of the latitude of that paraUel, and also deacribed the se veral other parallels as concentric arcs, passing through thefr proper points on the central meridian, mark off (as many times as is necesaary for the longitudinal extent of the map) on each aide of thia meridian, and on every paraUel, the length of ten or fifteen degreea of longitude, according to the law of thefr re spective decrease, which for each paraUel is as the cosine of the lati tude to the radius. Then through these points describe curvea for the several meridians. In our figure, the paraUds and meridians are drawn at fifteen degreea apart, and the areas on the globe are represented by equal areas on the projection, but as the forms are dUated in proportion as they recede from the cenfre, distances can only be measured along the paraUels or the meridians. This defect is still further increased by the Uttle attention paid by the generaUty of map-makers to the point from whioh they describe thefr paraUels, which, instead of being at the distance of the co-tangent of the cenfral latitude, ia determined by the con vergence of any two meridiana, arbitrarily taken. The distortion that results is particularly aeen in the ordinary mapa of Asia. The next and laat projection we shaU describe is — The Cylindrical, oe Mbecatoe's Peojection.' — This projection being destined solely for the use of mariners, and having comparatively little interest in a geographical point of riew, might be altogether omitted in our present enumeration, were it not that every atlas contains it, and that many persons consult it in preference to the planispheres, when they would have a more satisfactory idea of the relative bearings of those parts of the globe whose contiguity is so awkwardly interrupted by the diverging cfrcumferences ofthe two hemispheres. The cylindrical projection was infroduced by Mercator, whose name it beara, in 1556. In order to underatand the neceasity which existed for a E rejection differing entirely from any of the preceding, it muat be remem- ered that narigators requfre charts by which they may dfrect their course, and lay it down with facility. So long as they have to saU due north or south, east or west, the ordinary projections might answer their purpose, but this is no longer the caae when the place for whioh they have to ateer Ues between the cardinal pointa. If a vessel starting from any point of the equator, for instance, were to steer a direct N.E. course, such vessel, if land did not intervene, would describe a spiral round the northern hemisphere, and arrive ultimately at the Pole* This curve is caUed the Loxodromic hne. The way in which it is engendered is this. The meridians aU run due • Mathematically speaking, it could never reach the pole, as for this, it must steer due north. 158 CHARTOGRAPHY. Fig. 15 N. and 8., the paraUels E. and W., theae circlea cutting each other at right angles ; but whUe the paraUels, aa thefr very name implies, are everywhere at equal diatancea from each other, the meridians approach nearer and nearer the higher the latitude. Now, as a vessel steering constantly N.E. must move Song everywhere by a line 45° from the meridian, and aa the dfrection of every meridian differs, so the veaael'a courae, after first starting from the equator, wiU deacribe the spiral, or loxodromic, curve, and thia wUl be the case on whatever rhumb the vessel may steer, for she wUl always have to intersect the meridiana under the same angle, which ahe can only do by describing the curve. Were ahe to proceed in a atraight line, ahe would cut every meridian she passed under a diff'erent angle, and, consequently, never make the port for which ahe waa bound. To render this sensible, fig. 15 representa a portion of the sphere projected stereo- graphicaUy on the plane of the equator, in which P is the pole. Now it is erident that if a vessel start from the point A, and steer constantly in a N.E. dfrection by compass, her course mnst constantly form an angle of 45° with the meridian ; but aa every meri dian forms an angle with the one juat passed, so, in order to form vrith them auccessively the same angle, the vessd muat in fact change her di rection every inatant, and de scribe a curve. If she were to proceed on a straight Une, she would make with every meridian succes sively a greater angle than 45°, tUl at length she would find herself at some place due east of that from which she aet out; to effect which, however, ahe would have to change her compass-bearing every moment. For the facUity, therefore, of determining and laving down hia course, the mariner requfred such a projection as would enable him, whUe steering by his compass, to deal with straight lines only on his maps, and accordingly Mercator, who had before infroduced the stereographic projection, invented the cylindrical, as we shaU now describe it. Let us suppose a cylinder to circumscribe a sphere in such manner that the axis of the two shall exactly coincide, and the cyhnder be in contact with the equator. If now the planes of the paraUels "be extended beyond the surface of the sphere tUl they meet that of the cylinder, thefr intersections with it vriU form a series of circles paraUel to each other and to the base of the cylinder : and if, in like manner, tlie planes of the meridiana be extended till they intersect the cylinder from top to bottom, the intersections wiU be straight Unes equidiatant from each other. If, next, the cyhnder be alit open in the direction of one of the meridians and laid out flat, it wUl repreaent a cylindrical projection of the globe, in which aU the paraUela wfll be sfraight linea, and the meridians also straight Unes perpendicular to the former. But while the diatancea of tho paraUels from the equator would be the sines of the latitudes, and accordingly so much the nearer to each other as they approached the poles, the meridians would be everywhere equidistant ; that is to say, the relation of the par.aUels and meridians would be the very reverfe of wbat is requfred in order that the proper relative proportion between thom bo preserved. For as the length of the degrees of longitude diminish as the parallels approach the poles, whereas, on this projection, this length is made equal on aU tho pai-tillela, it becomes necessary to lengthen, tho THE CYLINDRICAL PROJECTION. 159 degrees of latitude on the projection in the same proportion aa the degrees of longitude reaUy dimiiush on the sphere, to effect wiiich is extremely eaay in practice, A hne A B, (fig, 16,) is drawn of the length requfred for the development of the equator, according to the intended dimensions of the map. This line being now dirided into 36 or 24 equal parts, for as many meridians at 10° or SO is 0 Fig. 16 15 SO ii eo 78 90 loe 120 135 150 1C5 ISO 166 IBO 135 120 105 90 76 CO 45 SO 75 75 30 15 A 15 ?o 15 ::15 I'l 60 7« rs 30 15 15 0 46 A) 5 0 1 U5 1 0 1 J5 1 0 It 6 1 0 1 C6 1 50 1 J6 1 20 1 6 0 76 OO 46 30 15° apart, (in our figure we have taken 15° in order to have fewer Unes,) draw the meridians perpendicular to A B. Now take from a table of meridional parts the requisite distances of the several paraUels and of the fropical and polar cfrcles from the equator, and set them aU off on the outer meridians to the N. and 8. of the equator ; join these points and the Unes are aU projected. Nothing now remains but to select the first meridian according to cfrcumstances, and then to graduate the top and bottom borders ofthe map in the usual way, E. and W. from the first meridian, and to indi cate the degrees of latitude N. and 8, of the equator upon the two extreme meridians. The meridional parts in the table just aUuded to, (and which is also caUed a table of increasing latitudes,) are the number of minutes of a degree of longitude at the equator comprised between that great circle and every paraUel of latitude up to 89°. It would be foreign to our.object to enter here into any detaU of the mode of calculating the table. From the principles of the projection juat described, it wUl be evident that the relationa of length and!^ breadth, that is, the figurea of the aeveral conntriea, are perfectly accurate ; but that, as the lengtii of the degrees of longitude and those of latitude are greatly exaggerated towards the poles, the relative magnitudes of countries near them, as compared to those near the equator, are grossly incorrect. But this, to the mariner, is of no conse quence ; his object is to be able to lay down the route he has traversed, in sfraight lines, and to see the stoaight-hne bearing of the point he is imme diately bound for, so as to shape bis compass-bearing accordingly, and this the charts on Mercator's projection enable him to do with the greatest eaae and most unerring certainty. It is evident that, owing to the mequaUty of 160 CHARTOGRAPHY. the degrees of latitude and longitude, no distance from one place to another can be ascertained but by calculation. We have atated that a Mercator's projection of the globe is often con sulted by the geographer, and we are most desirous, for Ms purpose, that it be always extended in longitude so as to exhibit both the Atlantic and Pacific oceans 'in their integrity With this view we would not only carry the longitude 180° east and west of Greenvrich, but repeat the last 80° of east longitude on the westem side, reckoning back from 180° E. to 100° E. By this means the continuity both of the lands and the oceans would be repre sented in the most satisfactory manner. Mercator's projection, when designed solely for charts, contains only the detaUs of the coast, islands, soundings, and rhumb linea; but for geographical purpoaes, they should differ in nothing from other maps, but in the mode of projection. Having thua explained the nature and conatruction of the moat customary projectiona, we will merely obaerve, that there have been proposed and effected aeTeral modifications of them; but, generaUy speaking, if these rectify errors in some particular respect, they increase them in others, or elae they offer practical difficulties of^ execution, which are not compenaated by any sufficiently important adTantage. Choice of Peojections. — From what has preceded, it vriU be erident that all the projections are not alike suitable for aU purposes. In order to represent the whole surface of the Earth at one view, we must use either the planispheres or Mercator's projections. As regards the former, we have already stated our opinion that the 8tereographic projection is the best; though, for our own use, we prefer a Mercator's projection to any map of the two separate hemispheres. When the planispheres are used, the projection is usually made on the plane passing through the twentieth meridian of West longitude from Greenwich, by which arrangement the continuity of the great continents, called the Old and the New Worlds, is uninterrupted. Aa maps of the world are constructed for the purpose of exhibiting the relative posifions of counfries, and the bearings of their principal ports and cities, the general forma and extent in longitude and latitude of the grand divisions of the land and of the water, &c., it follows that minute detaUs are not requfred. Maps of the world, therefore, should contain nothing beyond the contour of the land and water as correctly as possible ; the islands with which the ocean is studded, the great sfreams, the great mountain-chains, the porta and har- bom-a, the capitals and more important towns. Hence it is not necessary that maps of the world should be large ; but we shaU freat of the scales of maps presently. In choosing the projections for the maps of the grand divisions of the Earth, and for particular countriea, attention must be paid to thefr form and their extent in latitude and longitude, in order that the defects of the pro jection may, as much as possible, be thrown into those parts where they wifl be of the least importance. With this riew, the conic projection has been generally chosen, either pure, or in some one of its modified forms, according to the taste or preference of different geographers and map-makers. Map or Eueopb. — For Europe, the pure conic projection is unques tionably the best. It is produced by the development of a cone, suppoaed to intersect the sphere at the latitudes of 45° and 65°, these being intermediate betfleen the mean latitude of Europe, 55°, and the exfremes, 35° and 75°. On such a map of Em-ope, the diatancea on the two paraUela of 45° and 65° are precisely the aame aa on the sphere, whUe the deficiency on the inter mediate, and the excess on the extreme paraUels, being disfributed generaUy over the map, and in themselves very frifling, are of no practical importance. The rectangular spaces on the globe, formed by the intersections of the paraUela and meridians, are represented by similar rectangular apacea on the map, and consequently there is no distortion of form. FinaUy, distances measured in sfraight hnea on the map, very nearly coincide with the shortest distanoea as meaaured on the sm-face of the sphere. No other projection MAPS OF ASIA AND AFRICA. 161 could combine so many advantages, and accordingly we find this projection generaUy adopted for maps of Europe. 8ome geographers may perhaps be content with the development of a circumscribed cone, tangent to some paraUel near the centre of the map. In this case, we think the best would be that of 50°, by which means the greater correctness would be found in the more important parts of Europe, while the errors in excess would be thrown into tne comparatively little important regions of the exfreme North on the one hand, and, on the other, over the waters of the Mediterranean and the Black Seas, and the exfra European counfries, as Asiatic Turkey and a portion of Northern Africa. The central meridian of our maps of Europe generaUy passes through the twentieth degree of East longitude from Greenvrich. Map of Asia. — The same mode of proceeding, as that we haTe just described for a map of Europe, may be adopted for one of Asia, making the cone intersect the sphere at the paraUels of 25 and 60. It is true, that as Asia embraces a greater extent of latitude than Europe, the errors of defi ciency and excess on those parts of the map that are furthest remoTed from the paraUels intersected by the cone, wUl be somewhat greater than in the map of Europe. But if we exclude the Eastern Archipelago, we find that the exfreme South latitude of Asia comprises only the Malayan peninsula, the southern point of Hindostan and the island of Ceylon ; whUe beyond the fifty-fifth paraUel of North latitude, there is nothing but the Uttle known frozen steppes of Siberia. We cannot, therefore, see why the pure conic projection. which offers so many advantages, should not be adopted in preference to that distorting modification of it, which we have explained at fig. 14, in whioh the meridians are projected in curves. It is certain that this method presents upon the map areas equal to those on the sphere; but this advantage is counterbalancpd by the impossibUity of measuring distances except along the paraUels and meridians. The custom, however, is to make uae of Flamstead'a modification. The cenfral meridian for a map of Asia is usuaUy that of 85° East of Greenvrich. Map of Afeica. — The position of Africa, extending, as it does, to nearly forty degrees North, and aa many South of the equator, renders it impossible to apply to it, as a whole, any modification of the conic projection. If it were projected on two cones meeting by thefr bases on the plane ofthe equator, these cones when developed would present parallels whose curvature would be in opposite directions, those to tbe North of the equator being concave towards the Nortii pole, and those to the South convex towards that pole ; whence it foUows that the equator would be represented by two diverging curves, touching only in a point, and the contiguity of the continent consequently broken in a most unseemly and inconvenient manner. Northern and Southern Africa are sometimes given separately, and in auch caae the conical projection ia appUcable vrith advantage. But if, on the one hand, the conic projection be not poaaible for Africa as a whole, so on the other, if the cylindrical were adopted, it would exhibit aU the defects of a Mercator's projection, wliUe its peculiar advantagea would have no application. A particular projection therefore, ia employed, which so far resembles the Orthographic projection deseribed by us at fig. 2, that aU the parallels are sfraight lines ; but while the paraUels on the Orthographic projection approximate nearer to each other as they recede from the equator, they are aU made equidistant in the projection used for a map of Africa. The meridians are projected in curves paaaing through points on the paraUels determined by the rale of decrease in the degrees of loMitude at the different latitudes. The central meridian is at fifteen degrees East of Greenvrich. This projection haa been employed by J. B. Nolin for each of the four quarters of the world ; its great objection is in the diafigurement ofthe forms by the obhquity of the meridians in respect to the parallels, particularly towards the extremities of the map, and which renders it impossible to measure distances except along the paraUels. M 162 CIIARTOGRAPIiy. Map of North Ameeica.— As this portion of the world, Uke that of Asia, Ues between the fifth and eightieth paraUels, the map may be projected exactly like that of Asia, either according to the pure conic, or to Flam stead'a modification of it. If the first be chosen, we would say, that upon the principle already aUuded to, of throwing the errors into those parts of the map wher 3 thoy wiU be of the least consequence, it would be advisable to make the cone intersect the sphere at the thfrtieth and fifty-fifth parallels instead of the twenty-fifth and sixtieth, and for this reason, that while the greatest amount of error in longitudinal distance would be removed to the barren and little known regions of the North, on the one hand, and to the very narrow portion south of the thirtieth paraUel on the other, the distances along the broad and most important part of the region, comprising the whole of the United States, and the settled portions of Canada, would be more correct than if the cone intersected the sphere at paraUels more distant from each other. Mr. William Hughes, whom wc have great pleasm-e in mentioning as one of our most scientific geographers, and whose opinion has in general great weight with ua, recommenda placing the northern enfranee of the cone at the sixtieth parallel, but by the adoption, as we recommend, of the fifty-fifth instead of the sixtieth, accuracy is brought atiU more within the important parta of the map, while the errors in longitudinal distance wfll stiU be but trifling at sixty degrees, beyond which, the nature of the country renders the errors in distance of very little moment. Most geographers, however, prefer Flamstead's modification for the map of North Amenea, as for that of Asia. The central meridian for a map of South America ia that of 100 degrees West of Greenwich. Map of South Ameeica. — Aa by far the greater part of this continent Ues to the South of the equator, the modified conic projection is sometimes employed for it ; but the paraUels being very sUghtly curved, owing to the great length of the radiua from which they are drawn, it posaesaes very Uttle advantage over the atraight-line paraUels adopted for the map of Africa, and accordingly the latter mode ia, by most map-makers, preferred for the map of South Ameriea, The cenfral meridian is that of 60° West, and as the land at the southern extremity of the continent extends but a short diatance from this central meridian, the distortion arising from the difference in the diagonals of the quadrangular spaces wiU not be great, nor indeed, if it were, would it be of much importance, considering the little consequence of strictiy correct general measurements of Patagonia. From what has been said, it vrill be evident that the conic projection can be appUed without any material practical disadvantage to the mapping of Em'ope, Asia, and Nortii America. It is stUl better adapted to the lesa extensive regions of the Earth's surface, prorided they be not situated imme diately on the equator. And, moreover, that whenever the extent in latitade does not exceed thfrty or thirty-five degrees, there is very Uttie diff'erence indeed between the distances measured on the map and those on the sphere. For countries on the equator, it is adrisable to employ the projection described for the maps of Africa and South America. In practice it wiU often be found, that the cenfre from which the paraUels ahould be described are at auch a distance, that it becomes impossible to strike the area in the usual way, and accordingly recourae is had to expedients which answer the same purpose, and the details of which wUl be found in works ad hoc. It is customary with some map-makers to represent the islands of the Pacific on a Mercator's projection, extending to forty or fifty degrees on either side of the equator, and such is the minuteness of these islands generally, that their forms and dunensions cannot be infiuenced by errors of projection ; but thefr distances and beai-ings from each other are important, and accordingly wo ourselves prefer employing for this great region the projection recommended for the map of Africa. Diffeeent kinds of Maps.— Ilie term Map is more particularly applied DIFFERENT KINDS OF MAPS. 163 to representations of the land or land and water together, wliUe that of Chart is lunited to the water surface only, including indications of currents, sound ings, anchorages, rocks, shoals, buoys, Ughthouses, and other objects of im portance to the mariner, for whoae use they are speciaUy designed. Maps are of two kinds. Geographical and Topographical, and thc former are eiiher general, such as the maps of the hemispheres, the four quarters of tho world, and the great empfres and states, or particular, (oaUed also Chorogra phical,) such as the maps of provinces, counties, &c. Topographical maps differ from those caUed Geographical by their more numerous details. In order that every feature, both natural and artificial, of the surface be represented, tho scale of the map must be proportionably large, and hence topographical maps usuaUy embrace a smaUer extent of coimtiw than geographical maps, though there exist topographical maps of most European kingdoms. Generally, however, they are confined to much smaller surfaces, as counties, parishes, the enrirons of capitals and large towns, fields of battle, &o. Between thc geographical and the topographical map there is an intermediate kind, termed semi-topographical, which contains more detaU than the geographical, and lesa than the topographical. Besides the maps requfred for pure geography or for topography, there are others constructed for special purposes, involving locality as an essential element. These purposes may be political, ciril, mUitary, statistical, ethno graphical, historical, physical, &o., and thefr several subdiviaiona : in the present work, however, we muat confine ourselvea to geographical and topographical maps. As the diff'erence between geographical, chorographical, semi-topographical, and topographical maps, consists not in the size of the mapa, but m the amount of detaU they represent, so the possible amount of this latter depends entfrely upon the scale to which the map is engraved. On the Continent, it is the custom to state the scale of maps in propor tional parts of nature. The scales of general and chorographical maps range from a two-miUionth to a two-hundred-thousandth. The first, which is equi valent to about thfrty miles to an inch, admits of the insertion of principal mountains, rivers, great towns, and remarkable places, A scale of a two- hundred-thousandth, or about three mUes to an inch, admits of the intro duction of lesser towns and viUages, noted hUls, rivers, woods, marshes, main-roads, &c. Topographical maps range in scale from a one-hundred-thouaandth, or 1-5 iniles to an inch, to one-ten-thouaandth, or six inches to a mUe, which is the scale of our Ordnance map of Ireland. This latter scale admits the representation of the minutest detaUs ; every accident of the ground, every hamlet, every smaU stream, every by-path, may be laid down on such a map. Maps upon a larger scale than one-ten-thousandth are rather to be con sidered as plans. Whatever be the scale on which a map is engraved, it is generaUy a reduction from original drawings on a much larger scale : sometimes from regular surveys, laid down on so large a scale that the minutest topographical detaUs are delineated. Maps of Uttie known counfries, that have never been regularly surveyed, are either drawn and reduced from the rough sketches of the routes of traveUers, and points laid down by them from distances and bearings, or are protracted by the map-maker from the fraveUer's note-book. GeneraUy speakmg, aU maps, as they now exist, (of extensive regions,) are the result of a combination of asfronomicaUy determined positiona, of regular surveys, and of fraveUers' routes and relations, and they are successively improved as the spread of ciriUzation offers greater facUity for the exact determination of positiona. When we compare any of our modern maps with those of ancient construction, we are struck with thefr dissimUarity, and the extraordinary distortion in the shapes of counfries as formerly laid down, and we are apt to consider our modern maps as perfect. They certainly come much nearer to the trath than the older maps, and it is m2 164 CHARTOGRAPHY. perhaps not too much to say, that, omitting the detaUs of certain coasts little frequented, or stUl unexplored, the coast lines of the globe are pretty correctly mapped aa to general outline. In Uke manner the latitudes and longitudes of aU capital towns and ports are, perhaps, as nearly correct as imperfection in instruments wUl permit. Some few are found to be incorrect owing to the imperfect state of the instruments, otherwise good, with which the Observations were taken at the time, ancl in some oases to want of abiUty in the observera. Such incorrect positions, however, are becoming every year fewer, as fresh observations are made vrith improved insfruments and greater care ; and the time ia probably not far distant when every place of note vriU be set down in its proper position on our maps as nearly as possible. It is, however, far otherwise with the other details of some of the most extensive regione of the earth. Thua, the interior of South America, though, to the eye, weU filled in upon the map, offera but a diatant approximation to truth ; and when, in after years, the axe ahaU have cleared the aecular forests of that portion of the New World, .and the vast regions that extend from the Andes to the Atlantic, shaU be covered with the abundant harveata and the habitations of a dense population, the maps of the country then constructed wUl, upon a comparison with those now existing, show our descendants how wide of the truth were our maps in the poaition of many places, and how totaUy different the true course of ita rivers from what we now figure them with such show of accuracy. In like manner, a great portion of North America, and the whole of the interior of Africa, remain yet untouched by the astronomical observer and the surveyor, and the same may be eaid of the greater part of Asia. Aa these several regions become explored by the scientiflc traveUer, the maps of them are improved. The greater part of Europe alone and of the United States may be said to be correctly mapped from frigonometrieal surveys. Indeed, if nothing were set down on the mapa of other parts of the earth bnt what has been reaUy determined in a satisfactory maimer, the maps of them would present, for the most part, so much blank paper. We have often thought it were greatly to be desired that some enterprising and competent geographer would pubUsh a set of maps in which the reaUy known, the tolerably exact, and the merely presumed, should be distinctly marked ; it would prevent the loss of time incurred by going oTer again what is known, and would point out what yet remains to be done for tiie exact representa tion of the earth's surface, and the correct setting down of man's various habitations, Eeditction of Maps in geneeal, — We cannot go into fhe details of the geodetic operations by which a counfry is surveyed. This belongs to treatiaea on geometry and teigonometry ; suffice it for us to aav, that where the materials exist, topographical maps are reduced from the plans frigo- nometrioaUy surveyed on the ground. Chorographical maps are produced by the assemblage and reduction of the topographical maps, and geographical, or general maps, from the union aud reduction of chorographie, or particular maps, and it is in these reductions from the larger to the smaller scale that the detaUa incompatible with the latter are omitted. We wUl flrst state briefly the mode in which these reductions are made, and then pass on to the construction of maps of countries which have not yet been topographi- caUy surveyed. Having the original drawings of a topographical survey, the map to be made from them may either be, as is sometimes required, on the same scale, or on a reduced scale ; in the first case, aU that is requisite is, to unite the aeveral parts ofthe survey into a whole, or iuto sheets, each of which is formed of two or more portions of the actual survey. To effect this, each portion of the survey must have at least two points in common with the portion which is to join it, aud tbese poults may be made to coincide, either by joining the two portions of the survey together, or by transporting the points on the clean paper which is to receive the contents of the sheets to which they belong TOPOGRAPHICAL MAPS. 165 in common. In this latter case, a line must be drawn through the two points, and extending beyond them as far as requisite, and having, in like manner, drawn Unes through the two points on each of the original sheets, similar squares or other flgures, starting from one ofthe points m question, must be dravm over the original survey, and over the clean paper to which it is to be fransferred. The smaUer these squares or other figures are made, the more exact the copy ia Ukely to be. If we would avoid covering the original dravring with lines, a plate of glass, afready marked into squarea, may be applied to the original, taking care that the squares on the clean paper correspond exactly with them. AU that is now to be done, is to copy each square suc cessively by the eye. Essential points, however, should be transported by compass measurements. These operations must be continued till the whole is completed, taking especial care, as we have said, that there be always two pointa on each separate portion which correspond, or are repeated, on the separate portions contiguous to it. When a reduction is required, it is very simply effected by making the squares or figurea to be fiUed up on the paper, though they must alwaya be the same in number and disposition, amaUer in proportion to the extent of reduction requfred, remembering that the reduction of the surface is inversely aa the square of the Unear reduction. Thua, if the sides of the reduced qua- drUateral flgures are half the length of those on the original drawing, the sur face of each square wUlbe the quarter of the original. H the sides of the reduced squares are one-thfrd, the aurface vrill be one-ninth, and so on. In France the separate portions of a survey are at once transferred upon the copper in the manner we have described, both when the scale of the engraved map and that of the original drawing are the same, and when there is reduction. It does not always foUow that, because the scale is reduced, any of the detafls of the original survey should be omitted ; for the reduced scale may stiU be such as to admit of their distinct representation. Sometimes it is necessary to increase the scale of a map : but this is alwaya attended, more or leas, with the disadvantage of magnifying any errors that may exist, whereas the contrary operation of reduction diminishes, and sometimes wholly obUte- rates them. Of Topogeaphical Maps in paeticttlae. — The great advantage of topographical maps consists in the numerous details they supply ; and, above aU, in presenting the relief of the surface ; that is, the heights and depres sions so necessary to be known for aU engineering and mUitary purposes. A very great deal might be written on the modes of representing the mountains, the hUls, and aU the minor undulations of the ground on the fiat surface of a map, but our space wiU not aUow us to go fully into this subject. Various modes of drawing and engraving the hUla have been, and stUl are adopted ; but they may be classed under two principal heads. In the one, aU that is aimed at is picturesque effect; in the other, a greater or less amount of mathematical precision has been attempted. In both, the disposition of light and shade is the mode by which effect is produced ; but whUe, in the one case, the proportion ofthis light and ahade nas no other rule than the caprice or taste of the draftsman and engraver, in the other it is aystematicaUy regu lated. In both the arbitrary and the systematic modes, the Ught is some times regarded aa faUing obUquely, and aometimea as faUing perpendicularly. The foUowing tabular view wfll, however, best conTey an idea of the Tarious modes adopted :— 166 CHARTOGRAPHY. Aibitrary. Systematic and Arbitrary. Systematic. Arbitrary in direction. . „ „ in length. Etclied lines alone, J _^ ^^ j^ thickness, and these being . • ¦ ) ", „ in distance apart. The light falling at an angle of 45°. Systematic in direction ; being the projections of Etched lines alone, J the curves of greatest slope. these being . . ) Arbitrary in all else. The light falUng at an angle of 45 . Systematic in the contour lines, wliich are at equal altitudes, but the altitudes varying according to Contour lines and the scale of the map and the nature of the etched lines em- country. ployed together. ) Arbitrary in the etched lines in everything but This mode is . . their length, wliich is limited by the contour lines, between which they are drawn. The light falling at an angle of 45'. Systematic, as in No. 8, the lines being drawn at ~ ^ ,. , equal altitudes, but which vary according to Contour lines alone . i ^^^ ^^.^^ ^^ ^^^^ ^^p ^^^ ^^^ ^^ture of the , country. ' The contour lines as above. Thicl^ness equal. Spaces one quarter the co-tangent Contour lines and of slope. etched lines em- ¦( Etched J L No regard to light. ployed together . lines. ) f P"'«f*i'">- > determined. Length, i Thickness proportional to the sine of angle of slope. Spaces as the cosines. _ Light vertical. ^,. , . ,. , f Determined in" direction, length, thickness, and! , Etched Imes alone . | spaces. ' s j 7. Besides the above seven modes there are several others, but which must be all classed under the arbifrary, except one, which is mechanical, and of which we shaU say a word presently. In some of these the effect is produced by aquatinta shading, in others by stippUng. In some maps the nUls are represented in perspective ; in some the shading is effected by etched lines, straight and waved, and dots, and aU other modes which the engraver can devise to produce effect. Of the several systems above mentioned, we may observe that, where pic turesque effect is aU that is wanted, the arbifrary modes are superior to the systematic ; indeed, some maps executed according to this arbifrary method, represent, in the most sfriking and satisfactory manner, CTcry undulation of the soU, from the gentlest rise to the highest and most abrupt eminences. They accordingly give a very perfect idea of the counfry, but are of no use for the exact purposes of the engineer, or for the operations of an army. This is easUy conceived. The engineer who has to construct a canal, a raU way, or any other kind of road, to form reservoirs, to drain marshes, &c., can be satisfied with nothing less than positive levels, and these the arbifrary modes of drawing bUls,Tiowever effective they may be, do not supply. In Uke manner, the general must be able to see upon his map where artiUery and other wheel carriages can pass, where his cavafry can act, and where none but his light infantry can advance ; what heights command or are com manded, &c. ; he therefore, like the engineer, must know the positive amount of the slopes, and must accordingly discard the more beautifiil, though to him useless topographical maps, for tiiose where ho sees the actual slope and ele vation of every foot of the ground. As an example of arbitrary shading, we may mention the Ordnance map of England, which can be scon at any time. In this topographical map the cflcct is produced by etched lines ; thc light ia supposed to faU" upon the TOPOGRAPIirCAL JVLAPS. 167 ground under an angle of 45 degrees, and on tho map to come from tho loft hand upper corner ; the shading is regulated accordingly, the greatest depth being given to the loftier and steeper eminences. Another and very beautiful example oi arbitrary shading may be seen in the semi-topographical map of Sardinia, lately executed by General Mai-mora. In both these examples the shading is by etched linea. A map of very exceUent effect as regards the bilk, and which I shall have occasion to mention for another reason, has lately been executed at Vienna ; in it the hUls are in imitation of stippling, and the effect is touly exceUent. Of the systematic modes, we shaU mention only numbers 4, 5, and 7, of our table ; and first, of the* method by contour Unes alone, or the representa tion of the elevations of the surface by curves of equal altitude. This method, admitting of a very near approach to geometric accuracy, has for engineering purposes a decided advantage over eTery other, though in some respects it IS not without its incouTcniences. As it has been much talked about lately, and is again coming into uae, its history, and some detaUs respecting it, may not be unacceptable to the reader. The first idea of the contour system is attributed by some to PhiUp Buache, but by La Croix to M. Duearla, who, he says, considering that if a Une were drawn joining aU those points on a chart which are marked as having the same depths of water, the contour thus fraced would be that of a section cut off by a horizontal plane everywhere distant from the surface of the water by so many fathoms, or feet, aa are marked by the soundings— con ceived a means equaUy ingenious and satisfactory of geometricaUy representing the elevations of the ground, or the relief oi a country. We shaU occa sionaUy employ this term relief, because it ia both laconic and appropriate, and because we have no other single word, as far as I know, that answers so well. Whether it be to Buache or Duearla that we are indebted for the first idea of the contour system, it was ffrst published by M. Dupin Triel, in 1 784. It consists in projecting verticaUy upon the plane of the horizon, lines passing through points equally raised above the level of the sea ; lines, in fact, which would mark the limits of the ocean, if, by any cauae, it ahould rise to the aeveral heighta indicated, in the same way as the Unes joining equal soundings would become its succeaaive limits if it were to sink to the depths of those soundings. The imaginary horizontal planes whose intersection with the elevations of the ground form the curves projected on the map, rise one above the other by equal quantitiea ; the actual amount of the rise, however, depends upon both the nature of the ground and the scale of the map. It is indeed self-erident, upon a Uttle consideration, that in the case of very gently sloping groimd, if the altitude of the section be considerable, the curvea must necessarily be very far apart from each other, whereas in elevations nearly perpendicular, the projection of sections taken at the same height, one above the other, would almost touch : those of a vertical cUff vrill in aU cases coincide and form but one curve. Accordingly it is found convenient to increase the vertical height of the sections as the hUls are more_ steep, and to diminish it aa the ground is more gently undulating. The neceaaity of varying the heights according to the scale of the map is evident for a similar reaaon. For, if while the height of the aections remained the same, the horizontal scale were enlarged or confracted, the aame incon venience would be produced. The vertical diatancea of the horizontal sections depend also upon the particiUar purpose for which the map is intended. Thua, whUe on the plana intended for certain engineering works, the sections may be from two to four or five feet of vertical altitude, in topographical maps they may be much greater. The pure contour system may even be used in general maps, but then the vertical heights are neceaaarUy very considerable. In Dupin Triel's map of France, on a scale of about one-two-mUUonth, the firat sections, beginning vrith the aea-level on the coast, rise by ten toises each, where the ground is nearly flat; further inland, where it rises more rapidly, the curves 168 CHARTOGRAPHY. indicate sections taken at twenty toises, then at fifty, then at one hundred. The first are observed in the north-western portion of the country, and the latter in the southern and south-eastern, where the more rapid slopes of the Pyrenees and Jura occur. It is evident that whatever be the scale of the map, contour linea alone caimot convey that expression of reUef that results from shading, unless they be exceedingly numerous and close. On a scale of one- ten-thouaandth, or about 6^ inches to a mUe, the reUef may be satisfactorily figured by contour Unes alone. We do not, however, recommend their adoption where effect is to be studied, they ahould be reserved for those purposes that requfre exact levels, as for draining, canal and road makmg, the defilement ol fortifications, &c., and in these cases the distances of the curves from each other are much too considerable to picture rehef On the Ordnance Survey the contours lately infroduced represent sections taken at the altitude of twenty-five feet. When contour Unes are drawn upon chorographical maps, it is erident the sections have not been leveUed, that is to say, the horizontal planea of equal altitude have not been determined by the usual process employed for small distances. The curves are drawn through points whose altitude haa been ascertained by baromefrical or trigonometrical meana, and the aections are not flat paraUel planes, but portions of concenfric spheres, whose aurfaces are paraUel with the convex aurface of the ocean. It is much to be regretted that curves of equal altitude, such as those on Dupin Triel's map of France, are not more generaUy appUed; they would throw great Ught on a vast number of some of the most interesting problems of physical geography. We have a map of Ireland, on the scale of ten mUes to an inch, on which five successive curves are drawn at the heights of 250, 500, 1000, and 2000 feet, and the belts between these curves being tinted, produce a very effective picture of the positive and relative elevations of different parts of the country. A map of Hong-Eong has also been contoured in a very successful manner, the scale being four inches to a mUe, and the section one hundred feet vertical. Indeed, the system we are considering is admfrably appropriated for islands, particularly when they are smaU, for the whole coasfc-Iine forma a closed curve, giving the lowest horizontal plane, or starting point, in aU dfrections ; whereas in sectional mapa, that is, maps of a portion of eountry, the rectangular edges of the map intersect many of the curves. This incon venience is in part obriated by the addition of numbers to the curves ; the same numbers denoting, of course, the same levels. Cloaed curvea may represent depressions, as weU as elevations, and this is one of the disadvantages of the system ; but if the curves are numbered, a Uttle attention wUl suffice for determining whether the cloaed curves belong to elevations or depressions. If the number on the innermost or smaUeat curve be greater than that of the curve next to it, the curvea are thoae of an elevation ; but if, on the contrai-y, the number on the innermost curve be smaller than that of the curve next to it, the curves are those of a depresaion. Captain Vetch, of the Eoyal Engineera, haa proposed to add to the contour Unes, short etched lines on the side on wluch the ground falls, which effectuaUy prevents aU ambiguity on the subject. Upon the whole, then, the system of contour Unes alone ia by no means to be recommended as a means of representing pietoriaUy the inequaUties or the relief of the sm-face on maps ; but when positive levels ai-e requfred, we know of no mode possessing equal advantages. It does not therefore belong to maps constructed for general geographical purposes, but to maps designed for special objects. We now paas on to the consideration of the fifth system of our table. The French, who attach much higher importance than we do to correct representation of the inequalities of the surface in topographical mapa, have at yarious times considered the subject in committees caUed^ together by the Government, and composed of the heads of aU those scientific departments for whoae piu-poses good maps are essential, such as the etnt-major, the corps TOPOGRAPHICAL MAPS. 169 of engineers, civU and mUitary, the mining- department, the woods and forests, the department of bridges and highways, aud the heads of the several great schools, such as the Ecole d' Application of tho Geographical Engineers, the School of the Etat-Major, that of the Mining Corps, that of St. Cyr, &c. These committees have on aome occaaions aat for three or four years, going most minutely into every detaU of the subject, and having tho same portions of ground drawn and engraved upon a variety of scales, and accordmg to every variety of mode. We cannot, of course, enumerate all the opinions that were emitted by these most competent persons, of the respective advantages and disadvantages of the several systems, and their numerous modifications ; suffice it in this place to aay, that no system has yet been devised that ia wholly unobjection able; that, however, which waa at length adopted by the majority, and which is at this moment aanctioned by the Government, is that which bears the number 5 of our Uat. This system is calculated to offer, as far as possible, the double advantage of geometrical accuracy and picturesque effect. It is a combination of the contour Unes with the liacliures or etched lines, these latter producing the requisite tints of shade, which convey to the eye the effect of rehef, and that with so much truer effect, as this very shading is subject to rule, and is determined in strict relation to the contour Unes themselves. These latter being detennined and drawn upon the map, the space between them ia fUled up with etched lines, whose length is determined by the distance between two contiguous contours, whUe thefr dfrection is perpendicular to the contour lines ; they are accordingly the projections of the lines of greatest slope, of those, in fact, wbich water, acted upon by gravity alone, would foUow in running down the surface. The thickness of these Unes is not determined by any rule in the syatem we are now considering ; but whatever it may be, it ia imiform throughout, the tint of the ahading being effected by the greater or less distance left between the strokes, and this is (except in the extreme cases we shaU presently notice) invariably one-fourth of the distance of the two contiguous contour lines, between which they are drawn. When the vertical heights of the horizontal sections whose projectiona form the contour linea of the map are equal, it is evident that the contour Unes wiU approxi mate so much the closer as the slope of the ground is the more rapid ; and aa the distance between the atrokes is regulated by that of the contour lines, it ia clear that the nearer the contour linea, the closer will be the hachuves (etched lines, or sfrokes of shading) to each other, and consequently the darker the tint or ahade produced by thefr meana. Therefore, the steeper the slope, the darker the shading, and that without any dfrect reference to the way, either slanting or vertical, in which the Ught is supposed to faU. When the contour linea are distant from each other, the strokes of shading, being always one-fourth of the distance between the contour linea, wUl also be far apart, which of course produces a very faint tint, such as is requfred for the representation of a very gentle slope. We have stated that, in exfreme cases, the rule qf one fourth of the distance of the contour lines is not obaerved, and for obvioua reaaons. So long as the contours run in sfraight, or nearly straight Unes, the strokes which are perpendicular to one of them wUl also be perpendicular to the contiguous one, and the distance of one stroke from another wUl be every where the same. But when the contour Unes form curvea, the distance of one fourth being taken on the upper line, and the sfrokes di-awn perpendi cular to it, theae stookea naturaUy diverge as they descend, ao that at their contact vrith the next curve their diatance is greater. If the distance between theae curved contoura be not great, the divergence of the afrokea of shading is of httle consequence ; but if the contours are wide apart, and the sfrokes therefore long, the divergence becomes an object worthy of attention; and accordingly, in such case, the distance of one fourth is taken, not upon the contour lines themselves, but on one drawn for the purpose midway 170 CHARTOGRAPHY. between the two, so that the strokes are brought closer together, and the inconvenience of excessive divergence ia remedied. The other extreme case is the opposite of the one just explained— namely, when two consecutive contours approach nearer than two mUUmefres, (about the -08 of an EngUsh inch). In this case, as it would be next to impossible to draw four strokes of shading in so smaU a distance, the law of one fourth givea place to an increased thickneaa in the afrokea themselves, by which the very dark tint required for the shade of such rapid slopes as the contiguity of the contours indicates, is equaUy weU effected. Such, then, is an idea of the fifth system on our Ust, and which is that generaUy adopted in France, and also in the United States, where they have learnt it from the French ; and some of the topographical maps lately executed at New York, according to this system, are exfremely beautiful. The sixth syatem of our table, which is that advocated by Colonel Bonne, was sanctioned by the French government, in 1828, for the Depot de la Guerre, more eapeciaUy for such maps as were to be engraved. Tt differs from the fifth, but they both combine the two great requisites of geometrical accuracy and picturesque effect. The contours being preserved, are easfly fraceable by breaks in the continuity of the shading afrokea or etched linea ; every grada tion of level is marked for engineering and mUitary purpoaea, while the shading figures at once the undulations of the surface and pointa ont the several degrees of incUnation of aU the slopes of the ground. Let us now pass on to the seventh system of our Ust. In Germany and aome other countriea, the mode of representing the inequaUties of the sm-face in topographical maps, diffiers eaaentiaUy from the French ayatems we have juat noticed. That generaUy adopted, though sUghtly modified in different places, is known as Lehmann's, or the Saxon method. In it there are no contour Unes ; the slopes or inequaUties of the surface are represented by etched Unes, or hachures, alone, but then the thick ness of these, and thefr distances apart, are regulated according to scale, ao that a determined proportion is maintained between the rapidity of the slopes and the intensity of the shading by which they are represented. The dfrection of the sfrokes is that of the greatest slope ; thefr thickness and distance apart is determined as follows : — The Ught is conceived as faUing verticaUy upon the ground, and, accordingly, the different parta of the aurface wtU be more or less iUumined as they are more or less inclined to the supposed vertical raya of the sun. A horizontal surface receiTing the fuU effect of these rays, vml, in nature, be the Ughtest, and is therefore represented on the map without any shading ; whUe a highly inclined cUff, receiving few of the vertical rays, will be very dark in nature, and is accordingly represented by a very dark shading on the map. To deter mine a regular gradation, however, between the most and the least iUumined surfaces, the foUowing system was determined on. The angle of 45° was regarded as the greatest natural slope of the ground, and this was supposed uniUumined. Irom this incUnation down to the horizontal, aU intermediate slopes were supposed to be Ulumined inversely as the angles of elevation, and hence the angle of any slope less than 45°, and its supplement, or what it wants of that number, wcre considered as the proportional terms of Ught and shade on any declivity. Thus the proportion of light and shade on a declirity of 5° was said to be as 40 to 5, or 8 to 1 ; — on a decUvity of 10° as 35 to 10, or 3| to I ; — on a decUrity of 15°, as 30 to 15, or 2 to 1, &c. These suppositions, — viz., that a slope of 45° is the greateat natural slope of the ground — that auch a slope receives no vertical light — and that the quantity of light received by aU slopes of leaa inclination than 45° is in proportion to such incUnation, are pcrfectfy gratuitous, the facta being — 1. That 60 is the gi-eatest natm-al slope of the soil; — 2. That a slope of 45° receives a very considerable quantity of vertical light; and— 3. That the amount of vertical light received by auy slope whatever is exactly m proportion to the cosine of thc angle of sueh slope. Hence it is clear, that though the TOPOGRAPHICAL MAI'S. 171 Saxon method of representing the relief of the ground bo syatomatic, it is by no means natm-al : it is, in fact, a conventional syatem, whose practical execution is thus effected : — All slopes of 45° and upwards are represented on the map by absolute black. All alopes below this, down to the horizontal, arc represented by graduated tints of shade growing Ughter aa the decUvity ia leas, tiU, at the horizontal, the paper is left perfectly white. As it would be impossible to represent every minute difference of incUnation from 45° to horizontaUty, or to paaa from absolute black to perfect white, so that the eye could at once detect the difference between contiguous shades, the tint is effected by nine diflferent grades of shading, each indicating a difference of 5° in the slope. The mechanical means employed to produce these nine different tints is by hachures drawn in the dfrection of the greatest slope, and the thickness of these hachures, or etched Unes, bears the same proportion to the white space left between them that the angle of the slope to be represented bears to what it wants of 45°. Thus— Angles Hor. 5° 10° 15° 20° 25° 30° 35° 40° 45° T, ,. „ r Black 0123456789 Proportion of | ^^^e 9876548 2 10 If the slope to be represented be one of 30°, ita complement, or what it wants of 45°, is 15°, wliich being the half of 30°, the black Unes vriU be twice as thick as the white spaces left between them, and as 45° is repre sented by perfect blackness, and from this to perfect whiteness ia divided into nine grades of shades, it is clear, each of these grades becomes Ughter than the other by one ninth ; 45° having the whole nine parts black, 40 wUl have eight black and one white — 35° wUl have seven black and two white — 30°, six black and three white, and so on, as in the above table ; whence it is seen that, whUe the shading for a slope of 30° is produced by hachures whose thickness is to the space between them as 6 to 3, or 2 to 1, that of a slope of 15° is produced by hachures whose thickness is to the white space between them as 3 to 6, or aa 1 to 2, The tinta thus become successively Ughter as the rapidity of the slope diminishea, and although the progression is not a natural one, it is invariably determined by a conventional scale, so that, if strictly adhered to in practice, not only the relative ateepneaa of the hUls is picturesquely represented so as to produce the sentiment of reUef, but the positive amount of the incUnation is shown ; and farther, as the length of the slopes on the maps is the horizontal projection of such slopes, it is evident that tMs, the Saxon, or Lehmann, system, suppUes the means of obtaining as correct a profile of the ground as the contour system of the French. Unfor tunately, however, the practice of this method does not answer to the theory. In the first place, it is exceedingly difficult in execution, No draftsman, whatever skUl he may have acqufred, or however careful he may be, can keep sfrictiy to the thickness of the afrokea, and to the distance between them, required by the scale, and without the most perfect accuracy in this respect, the system loses its chief advantage. The labour of drawing such myriads of smaU atrokea fatigues the eye, and diminishes its faculty of discriminating the thickneaa of the atrokes and the breadth of the spaces between them ; the hand becomes unsteady, the pen wears thicker, the ink evaporates whUe you are working, and thus, insensibly, you are drawing a slope of 5°, 10°, or 15° greater steepness than you should do ; and even supposing the most favourable case of very exact and clever draftsmen, there is seldom uniformity between the several parts of the same map when executed by different persons ; the engraver also may falsify the whole ; and if we addf, that when the slopes are not taken in the field with instruments, but merely by the eye, they cannot be mathematicaUy correct, and that, accord ingly, a profile drawn from the map, may give heights very different from what they are in nature — it wUl be evident that the German method, though ingenious, though systematic and beautifid when carefully executed, is 172 CHARTOGRAPHY. Uable to so many defects in practice, as stiU to leave room for something more perfect, more easy of appUcation, less tedious, lesa expensive, and more readily understood by the pubUc at large, for whom, after aU, mapa are made. Various moifioations of the method just described have been attempted, but with little success. To detaU them, and a variety of other syatema, would requfre a great deal more apace than we can devote to the subject. Nevertheleaa, we muat say one word on anaglyptography aa apphed to maps. The perfect resemblance of reUef which is obtamed by this art, ia well known in the case of medala and coina. But the firat idea of its application to the purpoaes of geography seems due to Mr. Greenongh. At a meeting of the British Aaaociation at Briatol, in 1836, that gentleman expressed, in the Geological Section, a hope that the process in question inight be appUed to the delineation of mountams ; and at the meeting of the same body at Liverpool, in the foUowing year, Mr. Dawson, one of the ablest draftsmen employed in the ordnance survey, having acted on Mr. Greenough's suggestion, exhibited a small map produced by the anaglyptographic process, and representing a portion of Wales. Subsequently, a much more perfect specimen waa executed by the dfrection, we beUeve, of Colonel Colby. Mr. Lowry (the father) executed for Profeaaor PhiUips a smaU anaglyptographic map of the Isle of Wight, and other maps have since been done, particularly one of a portion ofthe Pjrrenees infour sheets. In producing the appearance of relief, nothing can equal the process we are speaking of; but there are two cfrcumstances which wUl ever prevent its appUcation to maps becoming general. In the first place, a correct model of the country must be ffrst produced, for it is by applying the inatrument to a model that the engraving is produced. Now, it is at once evident that the expense and time required for modeUing, not only a whole country, but any large district, muat ever preclude the appUcation of the anaglyptographic proceas for mapa of auch extenaive surfaces. Secondly, the very perfection, strange to say, of the effect produced is against ita uae for maps. It is weU known, that if an intagUo receives the light from the left, it has the appearance of a rehevo Ughted from the right, and, in Uke maimer, a reUevo, in certain cfrcumstances, aaaumea the appearance of an intagUo. Now, the anaglyptographic process gives so true and beautiful an effect of rehef, that it is sometimes necessary to pass the hand over the surface, in order to be convinced that it is flat. But from this very perfection it foUows that, unless the Ught faU upon the map in a manner conformable to the shading of the map, aU the hoUows become reliefs, and the reUefa hoUows ; ao that, seen in certain positions, the vaUeya assume the appearance of sharp ridged chains, with aU the rivers and sfreams running along their summits. This very remarkable effect ia most striking in the anaglyptographic map of the Pyrenees. Such mapa, therefore, have the great inconvenience, that they can only be looked at in one dfrection as regards the light, and when they are to be suspended, they can be so, only on one particular side of the room as regards the light. In aome cases, we beUeve, mapa executed by this process have had engraved upon them, directions as to the way of looking at them. Theae, then, are inconveniences which cannot be got over, and accordingly the mode of engraving we are considering wUl never become general, and need not therefore engage ua any longer. We cannot here go further into thia subject, nor is it necessary in a sfriotly geographical point of view that we shouid; for whatever be the system employed for representing the reUef of the ground, and whatever interesting detaUs topographical maps may exhibit, they must all be rejected when these maps are reduced for the construction of geographical mapa. Some few of the principal featm-es, such as the most prominent elevationa of the ground, the high roads, &c., are retained iu what are termed the aemi-topographical maps, which hold a middle position between the topographical and the geographical map. The former also contains nU the amaUer towns, and even CHOROGRAPHICAL AND GEOGRAPHICAL MAPS. 173 the viUao-es, which, in geographical maps, eaunot be set down, by meana of the smallness of the scale. , • i ¦, mi Mapa are conatructed in an order tho reverae of their details. Thus, a topographical or a semi-topographical map is a reduction from the actual survey; a chorographical map is a reduction and assemblage of topographical maps, and a geographical map, a reduction and assemblage of chorographical maps, and aU details which a diminished scale renders too minute to be easUy appreciable or correctly expressed, are necessarUy omitted. Of Choeogeaphical Maps. — We have afready explained the process for assembhng and reducing the several portions of a survey, to form from thema topographical map, but when we would assemble and reduce these latter, in order to construct a chorographical map, we have, moreover, to subject the operation to the projection we adopt. For this pm-pose ; having projected the permanent paraUels and meridians of the mtended map, and traced as many mtermediate ones as may be deemed necessary, draw upon the topographical maps, and in thefr true dfrection as regards the north, straight parallels and meridians perpendicular to each other, and corresponding with those of the projection ; then copy what is contained in the aquarea of the topographical map into the corresponding quadrUateral spaces of the projection. As the aquarea ofthe one do not exactly correspond with the quadrUateral apaces of the other, we muat, if great accuracy be required, ascertain the distance of the point to be set down, from the aides of the square within which it ia placed in parts of a degree of latitude and longitude, and then take simUar parts from the paraUels and meridiana on the projection. Of GEOGEAPHICAL Maps. — The passage from the chorographical map to the geographical, is simUar to that just deacribed for the consfruction of the former. It must be observed, however, that as errors may have been com mitted either in the original topographical maps, or in the reduction of these to form a general map ; it is adrisable to check such errors by marking at once on the projection, whether it be for a chorographical or a geographical map, a certain number of important points in thefr true astronomicaUy determined positions, ao that if the intermediate spacea and objects as they exist on the maps to be reduced and copied, are either too proximate or too remote, the distances may be extended or shortened, so as to bring them to thefr proper hmits, and by spreading the errors over the whole surface, diminish their individual importance. There are different ways of effecting this correction, but we are compeUed to refer for such detaUs to works treating expressly on the practice of map-making. What has just been said applies only to maps of such countries aa have been trigonometrioaUy surveyed; but as thia is the case for a very smaU portion of the Earth's surface, other means must be resorted to when regions less perfectly known are to be mapped. CoNSTEUCTiON OF Maps FEOM Vaeious Mateeials. — It is in the con struction of mapa from a variety of different materials, aU more or lesa imperfect, that the talent, the knowledge, and the critical acumen of the map-maker are most conspicuous. We use the term map-maker, insteadpf that of geographer, adrisedly ; for in our estimation they are by no means synonymous. The geo grapher is not merely conversant with the positive and relative positions of tbe several objects on, and features of, the Earth's surface, but he is also acquainted with tbe particular character of the several regions of the globe, as regards climate and productions ; he understands the physical laws by whieh the several phenomena are regulated, and the influence of the soU and aspect in modi fying the meteorological action, &c. Now, the mere map-maker has no such knowledge, nor ia it perhapa, strictly speaking, absolutely necessary that be should possess it, not but what it would be aU the better, nay, infinitely better, if he did. We could, it is true, name one or two, who, in addition to the practical knowledge they possess of map-making, add an extenaive acquaintance with aU that a geographer ahould know, but they form the exception, not the rule : nor do we make the observation in disparagement of 174 CHARTOGRAPHY. the talented and conscientious map-maker; his merit is great, hia duty arduous, and, if well performed, hc is justly entitled to the best thanks, not only of the pubhc, but of th e geographer himself, for whose studies he supplies indispensable materials. Alas ! that there should be so few, so very few good map-makers. Of aU those who supply the public and cater to their appetite for maps, how many are there who produce anything of their own? Not one in ten — not one in fifty. Nor is this aU, Not content with embodying in their productions the labours of others, (a plagiarism, by the way, tolerated by usage, and without which we should have but three or four names to aU our modern maps,) they do not even copy correctly. Indeed, the carelessness, not to say the want of common honesty, with which some maps are got up and sont out among the public, is a crying evU ; but — and we regret to say it — so smaU is the amount of knowledge possessed by people in general of this department of science, that if not one map in ten be good for anything, there is not one person in a thousand capable of detecting the errors, or discovering the discrepancies of the maps they purchase. If there were sound critics in this matter, map-makers would perhaps be more careful, and find it better for thefr reputation, if not more to their interest, to publish less in quantity and superior in quaUty. When we shaU have explained what is requfred of a good map-maker, it wiU soon be seen how far it is possible to beUeve that anything like care can be bestowed upon those maps which are issued to the pubhc with a kind of raUway precipitant, so soon as any particular interest is attached to any particular region. But to return. The construction of the map of a country that has never been trigonome trioaUy surveyed, requfres the use of a great variety of materials, and a profound knowledge of thefr respective Talue. These materials are the existing maps, the positions, as deduced from the use of Ephemerides, the measurements and relations of traTeUers ; and where aU these differ, as they invariably do, more or lesa, much knowledge, much time and labour, and great sagacity are required in arriving at even an approximation to the truth, through such a mass of conflicting documenta. Suppose the longitude and latitude of a place to have been determined by eight or ten different persons at different times, and that none agree. It will not do, aa is sometimes recommended, and is the almost invariable practice, to take a mean of the several determinations, for this may give a position far vrider of the truth than some of those already laid down. If, of the twelve different positions assigned to Mexico vrithin the last century, a mean had been taken between the extremes of longitude, the position, instead of being rectifled, would be set down about two hundred mUea to the West of its proper place, and further removed from the truth than any one of the twelve positions assigned to it, except two ; and a mean of the e.xlTeme latitudes would place it further North than any, but one. The same may be said of an infinity of cases, eapeciaUy of those in which the errors, as is frequently the case, Ue aU one way. The conscientious map-maker, therefore, vriU ascertain how the several positiona wcre respectively determined — if asfronomicaUy, how, when, and by whom. As to tho how, some methods give more correct results than others : aa to the when, what inatruments could the observer have had at the time ; they may, nay, in most cases, must have been very defective compared with those of the present day : what asfronomical tables existed at the time, from which the observers could make their calculations, and how far could theae Ephemerides be depended on ? As to the observers themselves, were they known as exact and able, or were they persons who, from want of education and capacity, were entitled to no confidence P If the longitudes were determined by the transport of time, what amount of reliance can be placed on tho watches then in use P and how far ean the place to which the time was referred, be regarded aa accurately laid down— or if incorrect, are the amount and direction of the error ascertained ? If the positions were determined by itinerary measures, ^hat were they, and is thefr frue Talue positively known P Sometimes the only measure has beeu days' journeys on foot. MAPS FROM INPORMATION OV TRAVELLERS, 175 or estimated by the pace of the horse, the camel, &c. Was the route, in thia case, hflly or level ? How were the bearings taken, &c. f Nor is it enough that the map-maker satisfy himself by a first process of the confidence he can place on any of thefr several methods. It may happen that the very results which differ most widely, have been arrived at by means entitled to most credit. Then must he have recourse to coUateral arguments derived from other sources, before he come to a conclusion in favour of the one or the other, and is perhaps obUged, after aU, to spUt the difference. Now it is clear, that this sifting of contradictory evidence is no easy task, and impUes extensive information, great patience, and intense application. It wfll not always do to cut the matter short, by taking the latest observation as probably the most correct. The position of Mexico as laid down by Velasquez and Gamma in 1778, was correct in latitude, and only about fifteen miles too far to the West, whUe Arrowsmith (the elder), in 1803, placcs it about tlifrty- three mUes too far North, and forty-five too far West, and the Connoissance des Temps for 1804, whUe it givea the latitude nearly correct, placea it in longitude a whole degree too far West. We repeat it, then, Uttle reUance can be placed on any maps, but such as are pubUshed by inteUigent, painstaking, and conscientious map-makers; thefr number ia very Umited, and they are entitied to the gratitude of all who have a just notion of the great importance of correct maps. But a map may be correct, and stiU not be a good map in every sense of the word, aa we shaU presently explain. We have hitherto spoken of the construction of maps from regular surveys from the assemblage and reduction of other maps, and from various sources, stUl including the use of afready executed maps. We have now to say a word on mapping from the mere information of fraveUera, Mapping feom the Infoemation op Travellees. — The deUneation of countries that have not been surveyed in any way, depends entirely on the relations, the notes, the information received, and the sketches made by fraveUers, From these sources of knowledge the flrst detaUs of a country are laid down, and from them the map becomes fUled up, and corrected as fresh information is acquired, A few years since, the map of Australia presented one great blank ; but the Sturts, the Eyres, the Leichardts, the Mitchells, the Sfrzeleokis, and other adventurous, indefatigable, and weU- quaUfied fraveUera have, by thefr moat hazardous and difficult explorations, enabled our map-makers graduaUy to lay down some important ieatures of that vast island, and consequently increase our knowledge of that singular and even yet Uttle known region. We could also point to Sir K, Schomburgk's toavels in Guayana, and Dr. Beke's in Abyssinia, and indeed many others, as examples of the enrichment and correction of our maps by the mere researches of fraveUera in the abaence of regular surveys. The value of the information suppUed by explorera ia not alwaya tho same ; some possess greater acqufrements than others, and some have better or more extensive opportunities than othera of applying thefr ability. It can of course be the lot bnt of very few to unite the varied knowledge of a Humboldt, and bring home as the result of their travels, new facts gleaned from every department of nature, and throw new Ught upon the questions relating to the several races of mankind, thefr language, arts, customs, and institutions. Almost every fraveUer is remarkable for some speciaUty, and, according to the bent of his incUnation, dfrects his principal attention to this or that particular object ; but we have here to deal chiefly, if not exclusively, with his abUity as a topographer. If the traveUer be possessed of good instraments for observing the latitudes and longitudes of the several remarkable points of his exploration, and knows how to uae them properly, this gives very great value to his indications ; for, if his observations can be rehed upon, they not only serve to check the data afforded by hia hearinga and itinerary distanoea (if he has noted these), but enable us to lay down the points with precision without the aid of any bearings and distances, and of assigning to them their proper 176 CHARTOGRAPHY. places on a conic or any other projection, without those reductions that are indispensable when the distance of points otherwise ascertained is such, that the spherical surface of the earth must be taken into account. If the traveUer be not supplied with the requisite instruments for the astronomical determination of his latitudes and longitudes, or is unacquainted with the use of such instraments, hia pointa muat be laid down by bearings and distances. This is a very common mode in rapid exploration, and the result vrill be the less incorrect, aa the croas bearings have been more multiphed and taken with the greater care, and according as the itinerary measurements, whatever these be, are properly reduced with regard to the nature of the ground traversed. A long route thus laid down can hardly be esteemed tolerably correct, unless it terminate at aome spot whose position is pretty weU known ; in this case, its more glaring errors may be compenaated. fri Uke manner, if the traveUer return to his starting point by another route, the one wiU serve to correct the other. If, subsequentiy, another fraveUer start from some very diff'erent dfrection from the first, and come to any point laid down by him, thia new route fumiahes an additional meana of corroboration or correction, and thus by degrees the map is improved, and tolerable accuracy ia at length obtained. As the fraveUer proceeds, he does not confine himself strictlyto hia dfrect route ; he often leaves it to explore to his right and left. He notes the remarkable hiUs and other objects he sees around him, judges more or less correctly of their distances, and sets down thefr bearings. He notes the rivers he passes, thefr direction, their depth, and breadth, and the sfrength of their currents, marking carefuUy the day and hour of aU his observations. He gleans, moreover, all the information he can from the natives, carefnUy stating his reasons for beUeving or discrediting thefr assertions. Sometimes the traveUer maps his route himself, and this greatly assists the professional map- maker's labour. But it too often happens, not only that notes are aU the traveUer brings home, but that, either through inadvertence on his part, the notes are incorrect, or he may have neglected aome important feature, snch as a river, or may have stated the direction of it to be the very reverse of what it is, or he may have set down as a fact what he heard from natives, who may, through ignorance or design, have made a false statement. One part of tine traveller's notes may be directly confradicted by another ; indeed, the sources of error are numerous, and yet it is from such materials that the map-maker is often called upon to protract a fraveUer's route through an unknown region, and lay down topographical features where there waa only a blank before. Great discrimination is therefore required of him, and it is only the rare few who are able and vriUing to bestow upon thefr maps that great amount of labour, which, in so many cases is indispensable, and which, after aU, only assures an approximation to truth. Having thus far initiated the reader into the art of mapping, which, as we have before stated, cannot here be fr-eated of in extenso, we shall explaiti what we meant by saying that a map might be correct, and yet not be a good map. A CoEEEGT Map not always a good one.— a great error prevSls almost universaUy in respect to maps — ^namely, the desfre of making them answer aU sorts of purposes at once. Most persons expect to find on a map every place, no matter how insignificant it may be ; and if thefr own hamlet or the vdlflge where they reside be not set down, are inclined to look upon the map as incomplete. Then, again, they would have all the poUtical dirisions and subdivisions, and as many of the physical features as possible, as also historical and statistical indications, &e. Now, there cannot be a more Ul-conceived exigence. We have already stated, that a geographical map should contain nothiug beyond tho capitals, principal towns, ports, harbours, capes, and other prominent features ; the general chains of mountains, and principal rivera, and high-roads, and the limits of empires and state.'!. Anything beyond thia tends only to confusion. We eould mention a striking example in the case of a modern chorographie map, whieh we have every reason to believe very SCALE OF MAPS. 177 accurate ; we know it to be beautifuUy executed ; but the publisher, from a desfre to meet the ridiculous wishes of his numerous patrons, has inserted every hiUock in the land, every petty glen and fillet of water, the projected raihoads, as weU as those executed, the celebrated battle fields, the light houses dong the coast, the merest viUages, and even gentlemen's seats, &c. ; and aU this on a map of no greater sc3e than twelve mUes to an inch, pro ducing altogether a mass of grey conftision, a crowd of names, many of them inaignificant, and which can hardly be read vrithout a glass. This, therefore, though a correct, is not a good map. Scale op Maps. — The scales of maps muat naturaUy vary with the particular nature of the maps, and should be determined by that alone. Such is the case with all maps constructed in France under authority. But, in our own country, where there exists an exaggerated aversion to cenfraUzation, no matter for what purpose, and where the government are too glad of such an excuse for leaving undone many things which they alone could effectuaUy accomplish, everytiiing appertaining to maps is left entfrely to the discretion of map-makers, publishers, and vendors, who, in perfect ignorance for the most part of the importance of the scales of maps, do not give the matter so much as a thought ; with them the scale is nothmg, the aize everything, and this is regulated with a riew to mere convenience, by the dimensions of the paper they think proper to employ in each indiridual case, whether for single maps or atlases. So almost invariably is this the case, that when the writer once made inquiry of several map-makers, reapecting the scales generaUy employed by them, of which he requested to be favoured vrith a Ust, the answer received from all was to the effect, that to give a Ust of the several scales they had employed, would be to give a Ust of aU the maps they had published, as they md not beUeve they had ever iasued two on the same scale, though they had made several of the aame size. Thia is the fault ofthe publishers much more than of the map-makera ; the former employ one ofthe latter to prepare a map or an atlaa. I want it, say they, to be on a sheet of so many inches by so many, or we want a quarto atlas, an imperial quarto, an oblong quarto, a large foUo, a smaU folio, an imperial octavo, &e. The map-maker, thus resfricted to size, has to consider how much margin he vriU leave, and this, with the given dimensions of the paper, determine the aize of the engraving ; within thia aize the counfry must be crammed, whether it contain fifty or only ten degrees of latitude or longi tude, and accordingly, in no case is there any relation between the length of the degreea and any definite scale. Thns, for example, an octavo aflas is ordered ; the size of the map within its border is 9^ inches by 7| (the maps being folded in the middle). Now, a map of England and WsUes, reduced to theae dimensions, wUl be on a scale of 44^8 miles to the inch. Europe, in the atlas, muat be brought within the same dimensions, and here the scale wUl be 347 mUea to an inch, and so of aUthe other countriea and regions included in the atlas, no twq of which vriU be onthe same scale, and not in a single case, perhaps, reducible to even an arbitrary scale of inches, vrithout fractions, much leas bearing any regular proportion to nature. The inconvenience of different scales, even, when they are Umited and defined, is almost unavoidable in the case of an atlas ; but the number of scales may be greatly reduced, aa in the better system lately adopted by Mr. Sharpe, of whose atlas we ahall say more preaently. The larger the scale of a map, the greater the number and variety of the details it may admit. But it doea not foUow that because the scale of a map be large, the map must necessarily contain much detaU ; some very large maps contain much leaa than aome very amaU onea. Class maps, or those intended for the instraction of classes in schools, for lectures, &c., are executed on very large scales, in order that such features and names aa are fraced upon them may be sufficiently distinct to be aeen at a distance, and with the same intention they scarcely contain any but the 178 CHARTOGRAPHY. more remarkable featurea of the region, and no names but those of the most important places and objects. Library Maps, that is, such of them as are intended to be suspended upon roUers, or otherwise, are usually on a large scale, and, generaUy speakmg, are aemi-topographical mapa. Their use being for general purpoaes, they are more full in respect to places than geographical maps, but as they represent large regions they cannot exhibit topographical details. _ County Maps are topographical, and accordingly their scale muat be large. Such mapa are chiefly employed for suspending in town haUs and in wie board-rooms of the local magisfracy, &c. Boad Maps, Uke library maps, are, or should be, semi-topographical, bnt thefr scale is usuaUy determined by the extent of country to be drawn on a portable size for the use of fraveUera ; for portabUity being a desideratum, it ia erident that a road map of aU Europe muat hardly take up more room in a fraveUer's baggage, or be less convenient for constant reference, than a road map of our island. The scales of maps then must vary with thefr nature and objects ; but, unless in a few exceptional cases, the scales best adapted for the different kinds of maps should be regulated upon a principle, and not be lefl to fhe arbitrary determinations of any compUer of maps. One of the great advantages of mapa ia thefr pictorial nature, the eye readUy receives, and the memory easUy retains particular forms, and thus a person who only occasionally consults maps, can immediately recognise a country by the general form of its outUne, without the assistance of any name, while a person stUl more conversant with maps, knows at once where to place his finger on any remarkable town, by remembering its diatance fi'om, and position in reference to, some particular portion of the general outline, &c. But these advantagea are greatly lessened by the indiscriminate use of all sorts of scales. Every one must have experienced, whenever, in the course of his researches, he has to consult difi'erent maps of the same country, the puzzUng effect of different scales, and the loss of time in finding out the spot he is looking for, and to which his eye woiJd immediately have guided bim, if the scales had been the same, or even some aUquot part of each other. Thus, if after looking for VaUadolid on a map of one scale, we go to anothermap on a very different scale, the probabiUty is, that we shall be aome Uttle time in finding it. We may very weU know that this city is on the Esgueva, near to ita confluence with the Piauerga, but it wiU be aa difficult to find these tributaries of the Douro as the towTi itself. Whereas, if the second map referred to were on the same scale with the fitrst, we should put our finger on Valladolid at once. Or, if the aecond map bore some definite proportion to the first, we shoidd be greatly assisted in our search by knowing what that proportion was. Again, it ia very desfrable to have a correct idea of the relative size of different counfries, and nothing tends more to falsify our conceptions on this aubject than the multipUcity of arbifrary scales in use among us. The Ddpot de la Guerre, in France, have determined that general maps, i. e. those of the four quarters of the world, shaU be on a scale of one-two- mUlionth, or that two mUlions of metres on the ground shaU be represented by one metre on the map, and aU other maps on scales determined by succes sive decimal reductions, or aUquot parts of this. Thus, a degree of latitude of the general map being taken as unity, a degree of any other general map is -5, '2, or '1 of auch unity ; by which meana a regular proportion ia main tained throughout the whole aeries. If we were to adopt a aysteA aimilar to that of the French, the radius of" the earth would be represented by ten feet aix inches, a duodecimal dirision of which might afford a series of convenient scales for aU our mapa. We have atated tbat, iu Mr. Sharpe'a Atlas, the number of scales has been greatly reduced, and we gladly had thia as a step in the right direction. The mapa of this Atlas are called by the author. Corresponding Maps SCALE OF MAPS. 179 There are in aU fifty-four, consfructed upon only fom- different scales, and accordmg to these scales, the maps are designated by the names of Conti nental, fritermediate, Dirisional, and Enlarged. Of the first kind there are ten; of the second, seven; ofthe thfrd, twenty-seven; and ofthe fourth, six; besides whioh, there is one, that of Switzerland, whose scale ia much larger than the rest— two hemispheres and a Mercator map of the world. The hnear scale of the Intermediate maps is twice that of the Continental ; that of the Dirisional, five times that of the Contmental; that of the Enlarged, fifteen tunes that of the Continental, or three times that of the Dirisional. The arrangement ofthis Atlas results in a somewhat different distribution of countriea and regiona from what ia customary, and which, if it has its advantages in aome casea, ia, perhaps, inconvenient in othera. Ofthe general accuracy of the Atlas we are not prepared to speak, nor would this be the place, under any cfrcumstances, to enter into ita detaUs. We observe that the latest discoveries are inserted, and therefore presume that the compila tion has been carefuUy made. We merely notice thia Atlaa on account of its pecuhar featurea, of which there are two othera, besides the smaU nimmer of scales. Thus, instead of two hemispheres, as usual, we have here four equal aectiona of the earth's surface ; an arrangement not new, though seldom adopted, and which has both ita advantagea and ita defects ; the former consisting in greater accuracy as to the form of the several regions of the earth than is possible according to the usual projection, whUe its defect is the interruption of continuity of the great eastern continent. In the present case, however, thia is not, perhapa, of much consequence, the separation being at the fifty-fifth meridian, cloae upon the confines of Europe and Asia, northward of the Caspian. It is true Persia is cut in two, and a shee of Arabia scinded. The next particular feature of the Atlas is in the adjustment of the scale of EngUsh mUes to every separate map. When the earth is considered aa a perfect sphere, aU the great cfrcles are of the same extent, and accordingly one degree of a meridian is of equal length with a degree of the equator. But the case is otherwise when the true figure of the earth, which is somewhat flattened at the poles, is taken into consideration ; for then the meridians are no longer arcs of cfrcles but of eUipsea ; the arcs, having less curvature aa they approach the polea, are area of larger cfrclea, and oonaequently a degree of latitude near either pole is larger than a degree of the equatorial arc, so that if a degree of the latter contain 6915 British mUes, the degreea of the eUiptical meridian wUl differ from thia, and be so mueh the longer aa they are nearer the poles. With a riew, therefore, to greater accuracy of admeasurement than is customary, Mr. Sharpe has given upon each map the exact number of British mUes contained in a degree of its middle latitude. This effort at increased accuracy is praiseworthy, as denoting what we so much wish to see, a desfre on the part of map-makera to make thefr maps as perfect as possible. But, at the same time, when we consider that the very element of the calculation for the number of British mUes in each degree of latitude — viz. the amount of depression at the polea, ia still matter of dispute, b^g variously given, '^ TCi> tIt' sYs' ^"-i 3^'i that, in any caae, the fractional difference for a degree amounts only to a few hundredths of a mUe, and lastly, that measure ments on a map can never be exact, — we do not aee that, any very material advantage ia gained by the ayatem here adopted. Nevertheless, we repeat our conviction that the reduction in the nuniber of scales ia an important point effected, and in so far is an example worthy of imitation. In cases such as that of the Atlas just mentioned, we think it would be a great improvement if the smaUer scaled maps were made to serve as indexea to thoae on the larger acalea, by drawing faint lines on the former to ahow the boundariea of the latter, with corner numbers of reference. Whatever be the scale ofa map, it ia much to be deafred, for more reasons than one, that auch scale be invariably stated. In the first place, it saves the time and trouble of finding out the scale by meaaurements ; secondly, when N 2 180 CHARTOGRAPHY. we know the scale, we can carry it pretty correctly in the eye, so as at a glance to have a tolerable idea of the distances of places from each other; thfrdly, it enables us at once to add the scale to the other details in making a descriptive catalogue of maps, and such a catalogue, vrithout the scales being given, is imperfect in one of its most important items. Be it, moreover, observed that, though most maps have scales affixed to them, they seldom announce any definite proportion ; that is, they say, for instance, geographical mUea, Britiah mUes, &c., of each of which the scale contains a certain arbifrary number, and the smaUer divisions are sometimes units, aometimea fives, or tens, or fifteens, &c., and if an inch measure be taken in the compaaaes and appUed to the acale, it faUa in with none of its subdiviaiona. In order to aupply this deficiency of our maps, the writer has consfructed a Chaetometeometee, which, by merely applying it to the central meridian of any map, indicates (with sufficient accuracy for aU prac tical purposes) the scale of the map in number of geographical and of British mUes to an inch. With reapect to these Britiah or rather EngUah mUes, it may be weU to remark, that cUfferent map-makers state them differently. Thus, in one Atlas we flnd on some of the maps 69 English mUea to a degree ; on others, 69-1, and 69-12. Another Atlaa has aimply ' scale of British miles' without stating how many of them go to the degree. Another, again, has everywhere 69 British miles to the degree ; whUe a fourth has 69-2 ; a fifth, 69-5 ; and Sharpe's Atlaa, aa we have just aeen, states the number of British mUes to a degree differently on the different maps. Geographical freatises also give the pro portions variously. In the midst of this conftision it is not easy to say who is right ; the probabUity is, that not one is strictly correct ; for, admitting that our standard measure of length be weU determined, the measurements of various arcs of meridians are not so perfectly correspondent as to comprise any exact or invariable number of EngUsh mUes. The differences, however, are too trifiing in amount to be of any practical importance in such measure ments aa are made upon maps ; for even if the amount of depression at the polea were exactly aacertained (which it is not, being variously stated, as we have shown, at yj^, g-^r, yjt, &c.), and if the number of British mUes to a degree of latitude in (Ufferent parts of the eUiptical meridian were most accu rately determined, stUl sfraight-lihe measurements on a map can never be exact by reason ofthe distorting effects of projection. A more or less close approximation to trath is aU that can be obtained, and, indeed, is aU that need be aought ; and whUe the scales of British mUes vary in two different maps, as, for instance, 69 mUea to a degree on map A, and 69-5 on map B, the probabUity ia that m some one dfrection, or in some particular part of map A, the scale of map B is nearer the truth than that indicated on map A itself, and vice versa. It must be borne in mind that we are here aUuding only to the smaU fractional differences in the several statements of the number of British miles to a degree, and that when we assert that these differences are of little practical importance, we are by no means to be understood aa aaying that the scale of mapa is a aubject of indifference; on the confrary, we have endeavoured to ahow that it ia a aubject of great importance in many respects, Geaduation of Maps, — The graduation of maps ia Uttle less arbifrary than their scales ; in one point, however, uniformity prevaUs, it being the practice to divide the meridians and parallels in the same manner. These divisions themselves vary: — thus, the paraUela and meridians are drawn sometimes at every degree, at other times at every second, every fifth, or every tenth degree. This is a matter which, of course, depends much upon the scales of the maps. When the scale is smaU, the paraUels and meridians may conveniently be drawn at every tenth degree, on a medium scale at every fifth degree, and on larger scales at every single or every second degree, and this seems to be the general practice ; but that it is arbifrary is evident from the fact of maps by different compilers being differently graduated, though on the same, or nearly the same scale. When the "division is by tenth CONVERSION OF LONGITUDES. 181 degrees, then each of these grand dirisions, on the borders of the map, may be subdivided into two portions of five degreea each, and each of theae again into five parts or single degrees. When the division ia hj fives, each niay be Bubdirided into five single degreea, and theae again into halvea, or 30 minutea or geographical nulea. When the paraUela and meridiana are drawn at eyery second degree, then, on the borders of the map these may be divided into two portions, representing each one degree, and these again subdivided into three parta of 20 minutea each, or into aix parts of ten mmutea each. When the dirision is into single degrees, these may be subdivided into six for 10 minutes each, or into twelve for 5 minutes each. The object of graduation is the finding of the longitude and latitude of places on the map ; but unless in caaea where the paraUels and meridians are both sfraight Unes, (as in a Mercator projection,) it anawera but very inef ficiently the purpoae intended. When the paraUela are afraight Unes, aa in most maps of Africa and South America, the latitude is easUy found by placing the edge of a ruler (sufficiently long to reach from the place to the nearest border of the map) against the place and everywhere equidistant from the nearest paraUel, when the graduation on the border, at the point inter sected by the ruler, ahows the latitude. In the Conical Projection, even when the meridians are straight lines, the latitude cannot be taken from the border of the map, for as this intersects the paraUels under very different angles from what the meridians do, the apace compriaed between any two paraUels on the map is much greater at the border than elsewhere ; indeed, the exact latitude can hardly be found but by drawing an arc concenti-ic vrith the paraUels on the map, and passing through the place; but in order to do this, the common cenfre of the paraUels must be found, which it is always difficult and often impossible to do. The longitude may be approximately found on the conic projection, when the meridians are straight, by placing a ruler of sufficient length close upon the place, and in such wise that it may intersect the same degree of longitude marked on the top and bottom borders of the map. In those maps where both the meridiana and paraUels are curved, the border graduation of the map only suppUes the means of a very rough measurement or guess at tbe longitude and latitude of any place. It would be a decided advantage if the cenfral meridian of all maps were graduated for the latitude, and tms might very easUy be effected without the sUghteat inconvenience or diafigurement of the map ; and when the other meridiana are curved, the graduation for longitude should be marked on some convenient part of every paraUel, between any two contiguous meridians. By this meana, and with the aid of a pafr of oompaases, the latitude and longitude of any place might be found pretty exactly. CoNVEEaioN OF LoNGiTtTDES. — In the graduation of maps, the longitude unfortxmately is not always reckoned from the same meridian. Thus, Ptolemy fixed hia first meridian at the Fortunate Islands (the Canaries), as being the most westerly country known in his time, though the precise point is stiU doubtful. -b r ±- Louis XIII, ordered that the firat meridian ahould hie drawn through the Island of Ferro, the westermnoat of the Canaries. Deliale had made out the longitude of Paris twenty degrees to the eastward of thia ; but subsequent and better information gave 20° 5' 50" for the longitudinal difference of the two places. The first meridian waa accordingly shifted 5' 50" to the East, ao that, at the present day, the meridian of Ferro is quite conjectural, and paasea by no remarkable place. By the Dutch the first meridian was made to pass over the Peak of Teneriffe. Gerard Mercator chose for the first meridian that which passes over the island Del Corvo, one of the Azores, becauae, in hia time, the needle there showed no variation. At the present day, however, almost every country considers as first 182 CHARTOGRAPHY. meridian that which paasea over ita own capital or obaervatory. Thus, the French reckon from Paris, the EngUsh from Greenwich, the bpaniards fi-om Cadiz or Toledo ; the Ruaaians have hitherto, Uke ourselves, reckoned from Greenwich, though occasionaUy from Ferro; but it is probable, now that they possess a magniffcent observatory at Pulkova, near St. Petersburg, they will reckon their longitudes from that place. The Anglo-Americans reckon fi'om Washington, the Venezuelans from Caraccas, and, as M. Jomard observes, the AustraUans may perhaps ere long have thefr own first meridian. The foUowing table wUl show the longitudes of the principal first meridiana with reference to Grreenwich : — Toledo . Cadiz . . Ferro Del Corvo Caraccas . Washington 77' 3° 59' 7"\ 6° 17' 22" 18° 9' 37" 31° 3' 00" 66° 44' 37" 77° 2' 1"J Gfreenvrich EAST. Paris . . . 2° 20' 23" Pulkova . . 30° 29' 38" When to this diversity be added, that some geographers reckon the longi tude eastward aU the way round the equator from 0 to 360, whUe others count both eaatward and weatward, 180 degreea each way, and that some deduce thefr longitude from aome particular meridian not considered as the firat by any people, it wUl be easUy conceived what confusion exists in this matter. Indeed, the perplexity is often great when we would know the longitude of any place, as reckoned from different meridians, or in different ways from the same meridian. Some map-makers (and this is a great over sight) do not even state upon thefr maps from what first meridian the longitude is reckoned. When the first meridian and the mode of counting are known, a calculation is necessary whenever we would refer the longitude given, to what it would be if reckoned in a different way, or from some other first meridian. The longitude reckoned aU the way round is caUed the GeograpMcal Longitude ; that which is reckoned only half-way round. East and West, is caUed the Nautical Longitude, and accordingly, as we have to deal with the one or the other, the mode of reduction is different. In the first caae, (that ia, reckoning the longitude aU the way round,) when we would find, from the longitude as given trom any particular first meridian, what it would be reckoned from any other first meridian, the rule ia — Take the difference of the two first meridians, and if the one from whieh we are desirous to count be to the westward of that given, add the difference to the given longitude ; but if it be to the eastward, subtract it. 1st Example.— The given longitude of Calcutta is 271° 32' East of Paris, Query— what is its longitude from Greenwich? Greenwich is 2° 20' 23" West oi Paris, consequentiy 271° 32' 4-2° 20' 23" 97Q° f;2' 23". ~ 2nd Exampie.— Moscow, given longitude from Ferro, 55° 14' 45". Query —what is its fongitude from Paris ? Paris is, 20° 30' Eaat from Ferro; accordmgly 55° 14' 45" — 20° 30' = 34° 44' 45", If after the addition, the whole be more than 360 degrees, which may often happen, tiien the rule is— Suitract 360 degrees from the larger sum, and the remainder wiU be the longitudo sought. Thus— _ 3rd Example.— Madrid is 353° 57' 40", Geographical Longitude, East of Paris. Query— what is its longitude, counted after the same method, from Ferro P Ferro is 20° 30' West from Paris. Then 353°57' 4O"-)-2O°30'=374°27'40"j CONVERSION OF LONGITUDES. 183 this is more thau the whole cfrcle; accordingly 374° 27' 40"— 360°= 14° 27' 40", the geographical longitude from Ferro. Again : if the given longitude be less than the meridianal difference to be subfracted, the rule is — Add 360 to the longitude, and then subtract the difference. 4th Example. — The Island of Gomera is 32' from Ferro. Query — what is its longitude from Teneriffe ? 32'-|-360°=360° 32', and the difference ofthe meridians being one degree, 360° 32'— 1°=359° 32', which is the geographical longitude of Gomera from the Dutch first meridian of Teneriffe. In the case of Nautical Longitude to be reduced to Geographical Longitude, we may observe, that when we reckon from one and the same first mericUan, the geographical and the nautical longitudes are the same aa far as 180° East. Ll the case of West longitude, the rule is — Subfract the given West longitude from 360, and the remainder wiU give the geographical longitude. Thus — 5th Example. — Icy Cape is 161° 30' West of Greenwich. Query — what is its geographical longitude ? 360°— 161° 30'=19S° 30'. It is self-evident that by the inverse operation, geographical longitudes above 180° may be turned into nautical longitudes by subtracting them from 360. Thus— 6th Example. — The geographical longitude of Icy Cape ia 198° 30'. Query — ^what is its nautical longitude ? 360°— 198° 30'=161° 30', West. But if the caae regarda two different ffrst meridians, or atarting pointa, then the rule ia — See ffrst whether the meridian to which we would refer the longitude be to the East or to the West of that from whioh it ia given ; then subtract the difference of the meridians, when they are of the same name, and add when they are of contrary denominations. Thus — 7th Example. — Constantinople is 29° East of Greenwich. Query — what is its longitude from Paris ? Now Paris is 2° 20' 23" East from Greenvrich ; therefore 29°— 2° 20' 23"=26° 39' 37". Sth Example.— Cape Horn is 67° 21' 15" West from Greenwich. Query— what ia it from Paris ? 67° 21' 15" -I- 2° 20' 23"=69° 41' 38" West. It sometimes happens that the place whose longitude is to be reduced lies between the meridian given and the one to which we would refer it ; being to the East of the one, and to the West of the other. In this case the rale is — Subtract the longitude from the difference between the meridian given, and that to which the place is to be referred, and change its denomination. Thus— 9th Example. — Dover is 1° 18' 30" East from Greenwich. Query — what is ita longitude aa referred to the meridian of Paria ? The difference of the two meridiana of Greenwich and Paris is 2° 20' 23", therefore 2° 20' 23"— 1° 18' 30"=1° 1' 53" West from Paria. What happena in reference to placea situated between the meridian given, and that to which a place is to be referred, may alao happen in reapect to thefr oppoaite meridiana. Thus, when instead of subfracting, we have to add to the given longitude the difference between the meridian from which it is reckoned, and that to which we would refer it, we sometimes find it greater than 180 degrees. In this case the rule is — Subfract the sum from 360°, and change the denomination. Thus — 10th Example. — Tortoise Island is in 177° 57' West longitude from Greenwich ; what ia its longitude from Paris P 184 CHARTOGRAPHY. As in this case, the difference of longitude between Paris and Greenwich is additive, 177° 57' -|- 2° 20' 23"=180° 17' 23", which being more than half the equatorial cfrcle, must be subfracted from 360°. Thus — 360°— 180° 17' 23"=179° 42' 37" East longitude from Paris. From the above examples it wUl readily be seen, how very desfrable it is that some one first meridian be adopted by aU nations ; this desideratum has been frequently and loudly insisted upon by the most eminent geographers of Europe, but it is to be feared, alas ! that absurd national prejudices wiU ever stand in the way of so desfrable a reform, as it does in that of many other important changes. Details or Maps. — A very great deal might be said on the details of maps, such as the choice and aize of the character uaed for the names of the several objects ; the limitation of the double Unes of rivers to the extent of thefr navigation ; the modes of indicating the mountain chains, &c. The colouring of maps ; the kind of paper best suited to maps of different kinds ; the best methods of mounting, arranging, and cataloguing them, and many other matters ; but to go into theae detaila would be to lengthen the present article far beyond the hmits to which we muat of neceasity restrict ourselves. For the aame reason, we have been unable to give any history of the progress of map-making, or to aay anything of ancient mapa, auch as the Catalans, the Portulans, &c. Indeed, as we stated at the commencement ofthe present chapter, the subject of Chartography, fuUy freated, would of itself fiU a large volume, and requfre to be Ulusfrated by many and expensive platea. We cannot, however, cloae the preaent article without proteating against the general want of attention to the orthography of mapa. Surely aomething like greater uniformity in our manner of writing foreign namea might be effected. The Eoyal Geographical Society have long aince eatabhshed a rule for the orthography of Oriental namea, which ia both aimple and judirioua, and if adhered to in mapa, in hooka of eaatern fravels, and in geographical works, would go a great way to diminish the confusion of which every one so justly complains. The system to which we aUude is as foUows : — GEOGEAPHICAL Oethogeapht. — The orthography, as far as possible, is reduced to a fixed standard, each letter having invariably its corresponding equivalent. The consonants are to be sounded aa in English, the vowels as in ItaUan. The accents mark long vowels, and the aposfrophe the letter 'ain; gh and kh are stoong gutturals; the former often Uke the Northumbrian r, the latter Uke the Scotch and Welsh ch: a as in far ; e as in there ; i in ravine ; o in cold ; u in rude, or oo in fool ; ei as ^ in they; oa as oa) in fowl; ai as i in thine ; cA as in chUd, What has thus been done for eastern namea, mirfit in like manner be effected for those of the Slavonic nations, Russia, &c. But to expect improve ments of thia kind, would be to look for an amount of zeal and industry on the part of our map-makera for the real interests of the science, which we are not likely to find. We must now conclude this brief memofr on mapa, which, imperfect as it is, vriU, we hope, prove acceptable to our readers. PHYSICAL GEOGRAPHY. PART I. OF THE EARTH'S SURFACE. CHAPTER I. INTRODUCTION. § 1. General outline ofthe subject. — 2. Divisions ofthe subject. — 3. Planetary condition ofthe earth. — 4. Elemental conditions of matter. — 5. Mechanical conditions of matter, and divi sions of science thence resulting. — 6. Advantage arising from the study of Physical Geography. f~1ENEBAL Outline of the Subject. — If, in a syatem of geography it is yjT thought necessary to explain in detaU those facts which bear upon the occupation of the earth by man, it is not leaa important to communicate a general view of the various mutual relations of the inorganic and organic bodies met with onthe Earth's crust, however these may aometimea have been neglected by writers whoae views were limited to the more technical part of the subject dfrectly before them. Such general views and discussions it is the object of Physical Geooeaphy to furnish, and to this the science thus designated ia properly hmited. It regarda the human race in its relations with external nature. It has, however, no concern with human history ; nor doea it directly introduce thoae important commercial intereste which bind together different branches of the great human famUy. It deals not vrith artificial boundaries of nations, or with the poaition and relative importance of thoae localitiea where men congregate in multitudes. It makea no reference to the habita of men, or the distinction of races, except when theae, in thefr turn, affect the general grouping of organic beinga on tiie globe. The acope and objecta of thia acience are, however, sufficiently interesting, and bear in no trifling degree on the most important interests of men. Physical geography is the history of the earth in its whole material organization; — as a planet, inasmuch as it affects, and is affected by, the other planets of our solar system, and aU other bodiea in space ; as a masa of matter, whoae external cruat exists in various mechanical conditions acting on and affecting each other ; as the seat of organic Ufe, consisting of certain tribes of vegetMiles and animals adapted to its present state ; as subject to certain mechanical and chemical changes which modify the conditions of organic existence ; and, lastly, aa containing and exhibiting in ita aohd portion a history of itself in former states, and when inhabited by different organic beings, thus affording memorials of events and changes that have occurred at and near its surface during the lapse of a vast period of time, if not from the very commencement of its existence as a planet. 2 Divisions of the Subject. — The fundamental knowledge requfred 'to comprehend the science of physical geography consists, then, of many and varied facts concerning — 1st, the planetary conditions of the globe ; 2nd, the nature, properties, and chemical and mechanical conditions ofthe portions of matter which make up the Earth's crust ; 3rd, the general form and manner of distribution of the sohd, fluid, and aeriform parts whioh are presented for observation at and near the surface ; 4th, the nature and distribution of 186 PHYSICAL GEOGRAPHY. existing racea of vegetables and animals ; and Sth, the former gronjiing of these organic bodies, as determined from thefr remains existing within the Earth's crust, and discoverable by investigation and inference. 3 Planetary Condition of the Earth. — The material universe comprises a vast but unknown multitude of bodies, made evident to our senses by their power of emitting or reflecting Ught, but connected together also by the universal action of one great law — that of gravitation. AU these bodies, although at immense diatancea apart, act upon each other in very important waya. They are coUected into groups, ofwhich the one to which our Earth belongs consists of a central body, the Sun, which is self-luminoua, and a number of amaUer bodiea, the planets, revolving round it, and only reflecting Ught ; but themselves, in many caaea, the centres of motion of others, stifl smaUer, caUed moons or aateUltea. The group altogether is not remarkable amongst the heavenly bodies, and our Earth offers no pecuUaritiea of impor tance either with regard to magnitude, poaition, or other essential quaUties, The Sun, the central body of this syatem, ia of great magnitude compared vrith any of the bodiea revolving round it, and it aeems to be the only one of the whole number which is capable of emitting any considerable amount of light and heat. Although many times larger than aU the members of our system together, it is not so dense aa most of them, and in consequence of the external surface being luminous in a high degree, it has not been found possible hitherto to do more than measure its dimensions, distance, and relative density. Of the other bodies, most of the planets revolving round the Sun in various periods appear to possess many analogies with each other and with onr Earth; while the sateUites or moons, of which the Earth has one, revolve round the planets, and appear to differ from them in some respects. Comets are wandering bodies, apparently aelf-luminoua. They revolve in eUiptic and irregular orbits round the Sun, and are ao extremely anomalous, that little has hitherto been determined ooncerning them except that they are probably gaseous. The stars appear to be self-luminous, but thefr distances are far too great for ua to be able to determine anything with regard to thefr mechanical and chemical condition, leaving us only to assume thefr vast magnitude and the extent of the systems to which they belong. Thus, then, the Earth, unimportant as it is as an individual member ofthe countleaa hosts of heaven, becomes to us, its inhabitants, not only important as our dweUing-plaoe, but as the only object in space concerning which we have the means of minute investigation ; for however the distant riews of other bodies may communicate trae general notions of thefr real state, we can observe and investigate only those things presented to us here and capable of dfrect and experimental handling. Thus it is that our ideas ofthe conditions of matter are limited to those commonly presented to our senses, and our notions of forms of Ufe are simUarly confined, nor does it seem altogether possible for us to imagine other conditions or other forma without running mto extravagant and even ridiculous exaggeration. It is not, however, reaUy essential to the existence of a planet, and it may not be needful for organic existence, that matter should be invariably presented in the ways in which we are accustomed to aee it. The conditions that obtain on our Earth may not be universaUy met with ; the ultimate elements of which another planet is composed may be different fi-om those here found ; the proportiona m which thoae elementa are combined in the moat abundant and characteristic materials are stiU more Ukely to be different ; the proportion of Ught and heat, the extent and nature of chemical and elecfr-ical action, may be capable of infinite variation ; and when the Umits of one planet are passed, the forms so famiUar to us as to seem esaential to matter may entirely alter, and new and unimagined contrivancea appear, producing results not less perfectiy and beautUuUy adapted to existing circumstances. 4 Elemental Conditions qf Matter. — In order to understand how this may be, it is necessary to be famUiar vrith the true actual conditions of matter and life on our globe ; and thus arise, at the outset, various considerations INTRODUCTION. 187 concerning the materials of which the earth is built up, the ordinary and rare combinations of the material elementa, their mutual action, the cauaes of internal change and modification that oan be traced amongst them, and the mechanical condition of the various kinds of material, and their mechanical action on each other. So soon, then, aa we commence investigations of this kind, we flnd our selves, in fact, launched on an inquiry which includes within ita wide embrace two special sciences of immense extent and vast importance. Chemistet, in ita highest sense, and Mineealogy are requfred at the starting point, and must form the basis of all accurate knowledge of the Earth. These teach us that the materials of the Earth's crust are combinations of various aubatances, and that the cause, aa far as we can discover, of thefr pecuUar condition is connected with the presence of an imponderable agent, which, whether caUed by the name of light, or heat, or electricity, or chemical force, is not less con nected with, and derived from, other bodies of the universe, than are the known effects of that great law of gravitation, which knits together into one group aU material bodies. lius, the result of the very first inqufry is to compUcate the problem, and refer us back to those very bodies concerning which we know so Uttle. But it is altogether in harmony with everything yet discovered in nature that there should be these mutual relations, and no real isolation. The same kind of mutual influence is met with everywhere, and appears to form a chain of eridence erincing a marvellous unity of design in the whole creation. 5 Mechanical Conditions of Matter, and Divisions of Science thence resulting. — When, however, by a reference to aU that is known of the laws of chemical force, and the nature of chemical combinations, and when, by careful examination of those substances whioh are most abundant and moat im portant in nature, we have obtained a knowledge of the materials which form the Earth's crust, we are next introduced to a ^enomenon of the mechanical condition of these aubstancea, which is of the most singular interest, and is productive of the most essential characteristics of organic existence, and also of a constant modification ofthe Barth's crust. In consequence of the nature of the combinations, and the actual temperature of the Earth's surface, the three mechanical conditions of solid, fluid, and aeriform are assumed by different kinds of matter, the result being that we have a solid crust of frregular form, the irregularities being partly occupied with water, and the whole invested with a transparent veU of afr. The mutual action of theae is the source of a freat multitude of phenomena to be deacribed under various distinct heads. he science of Meteoeology, or the phenomena of the atmosphere; Hydeo- logy, or the phenomena of water, including not only the sea and rivers, but all other portions of the aqueous covering of the globe ; together vrith a description of the modifications of the existing aurface by varioua causes, thua require minute attention amongat the facts of physical geography. The actual distribution of land and water on the globe, the configuration of con tinents, islands, &c., the description of the mountain ranges, and the river systems, the great plains of the Earth, the vaUeya, and other sfriking pheno mena of form and configuration, these complete another ofthe main branches ofthe subject. The intemal structure of the Earth, and the reaction caused by the con ditions of matter beneath the aurface — ^involving much of the past history, aa well as the present statei of our globe — is another department of the subject ; whUe the generaUzationa obtained by an accurate and detaUed atudy of every organic body that comes under man's observation, whether actuaUy now endowed with Ufe, or having existed only in distant ages, and long since extinct — aU these together make up the physical history of the earth, or, in other words, the science of physical geograpihy. 6 Advantage arising from the Study of Physical Geography. — The study of such phenomena as those here aUuded to may be regarded not merely as promoting the interests of man in reference to his material wants, but also 188 PHYSICAL GEOGRAPHY. as greatly affecting his general inteUectual advance. This has been weU re marked by Alexander v on Humboldt, whose knowledge of external nature is, perhaps, greater than has been acqufred by any man of our own or former ages, and who, in the infroduction to his Cosmos,h3.s admfrably touched upon the advantage of such knowledge and the objections that have been raised to it. I shall not hesitate to avaU myself of the ^pressions of so adnurable a writer to iUustrate thia part of my subject. He remarks that, 'it ia the intuitive and intimate perauasion of the existence of theae relations which at once enlarges and elevates our views and enhances our enjoyment. Such extended views are the growth of observation, of meditation, and of the spirit of the age, which is ever refiected in the operations of the human mind, what ever may be their direction. ' Special accounts of districts, and minute statements concerning those portions of external nature presented for our investigation in a single country are, no doubt, the most available materials for a general physical geography; but the most carefcd successive accumulation of such descriptions would be aa far from affording a true picture of the general conformation ofthe irregular surface of our planet and the general conditions of matter at, above, or beneath its surface, as a Ust and account of aU the species of plants or animals found in different districts wotdd be from communicating knowledge conceming the general geography of plants or animals.'* This latter aubject, the geography of plants and animals, involves the grouping of organic beings — ^the exfracting from minute individual accounts that vvhich is common to them aU in regard to their cUmatic distribution — the investigating the numerical laws, or the proportion of certain forms, or particular famiUes, to the whole number of species — ^the assigning the geographical position of the district, where in the plains each form reaches its maximum number of species and ita highest organic development. So, alao, the final aim of phyaical geography is to recogniae unity in a vast variety of phenomena, and by the exeroiae of thought, and the combination of observations, to discern that which is con stant through apparent change. If, however, we would comprehend existing nature, we muat not separate the consideration of the present state of things from that of the successive phases through which they have previously passed, and thus we have the word history fitly infroduced vrith reference to nature, and the phrases ' natural history' or 'history of nature' sfrictiy adapted to descripfrons such as we contemplate. The organic world — that portion of nature endowed with the mysterious principle of Ufe — is, as every one is aware, constantiy exposed to change, so fer as the individual is concerned ; and a careful study of the rela tions that exist amongst organized bodies shows that this principle of change extends also to those natural groups of simUar individuals, which we deno minate species. But it is not only in the organic world that matter is con stantly undergoing change, and becoming resolved into its elements, in order that these elements may enter into new combinationa — such is the case, also, vrith the inorganic materials, which are never permanentiy in repose, and which have undergone many and important mo(Ufications, evidenced by the condition of those sfrata of sedimentary rocks which compose a large part of its crust, and which also contain numerous early forms of organic life now totaUy lost, but originaUy aaaociated in groupa which have successively replaced each other. Vast, therefore, and compUcated in a high degree are the phenomena, and grand are the generalizations with which we have to deal in considering fully the subject before ua. It is founded on absolute facte, and on the observation of what actuaUy takes place and exists, but it involves the expression of many phenomena co-existing in space, and an account ofthe simultaneous action of numerous and confUctmg natural forces. A view of the effects of tune, and • See Humboldt's Cosmos, Col. Sabine's translation, vol. i. p. 47. FORMS OF INORGANIC MATTER. 189 the analogy of the effects of time and space with regard to the disfribution of organic bemgs, together with a general history of aU terrestrial phenomena m thefr mutual relations, render it at once a uniform and comprehensive science. , , , i ¦ j.-, Littie haa hitherto been attempted on the plan proposed m the present work, to present in one view the principles of geographical science, and afford means of studying this acience on its true basis. Many important facta of physical geography have, however, been accumulated by various authors, and have lately been arranged, both in Germany and England ; and whUe in the present outUne the plan and method are altogether distinct, including also a wider range than has hitherto been thought necessary, the author has been indebted to his predecessors, and to the works of many naturaUsts and fraveUers, for the substance of what is given. The Cosmos, and other works of Alexander Von Humboldt, Johnston's Physical Atlas, Hof&nan's Phy- sikalische Geographie, and in some cases Mrs. SomerriUe's Physical Geo graphy, as well aa several admfrable articles in the Penny Cyclopcedia, will be found freely quoted, though generaUy not vrithout acknowledgment. CHAPTEE II. FORMS AND MODIFICATIONS OP INORGANIC MATTER. 5 7. Limits of our knowledge with regard to the earth's structure, and importance of heat as an agent of change. — 8. Forma of matter. — 9. Forces affecting matter, and effect of change of temperature. — 10. Sources and causes of heat. — 11. Chemical action. — 12. Polarity. — 13. Material substances usually in combination at the earth's surface. — 14. Elementary substances. — 15. Oxygen gas, and its important combinationa. — 16. Combustion. — 17. Nitrogen, hydrogen, and chlorine, with their combinationa. — 18. Non-metallic solid elements. — 19. Metallic elements the bases of earths. — 20. Metals. — 21. Mutual action of various forms of matter. — 22. Terrestrial magnetism. ZIMITS of our knowledge with regard to the Earth's Structure, and importance of Heat as an Agent of Change. — The knowledge that haa been acquired with regard to the Earth is very limited in some important reapecta, but involvea much interesting detaU in others : it teaches much, but leaves also very much untaught ; part of which ia at present beyond our comprehenaion, and part we can never hope to learn. We know, for example, the form of our Earth and the denaity of the maas, we can compare this density with that of matter at the surface, and we can also determine the absolute weight ofthe whole globe. AU these conditions exhibit direct reference to temperature ; and we learn by observation, that whUe the temperature at the Earth's surface varies at different parts, haring relation to the aolar rays, the temperature at a certam depth below the surface is in aU parts of the Earth uniform ; whUe below this stratum of uniform temperature, there ia an increaae of heat with increaaing depth, not altogether Tegular and uniform, bnt sufficiently so as to render it highly probable, that at a considerable distance down the heat is sufficiently intense to produce fusion of even the most refractory subatancea met with at the aurface. The increase being about one degree of Fahrenheit's thermometer for every fifty-five Enghsh feet of depth at all known depths, this, if continued in the aame arithmetic ratio, would produce the melting point of granite at a depth of about twenty mUea below the aurface. When, too, we remember that the temperature of the aurface ia ao greatly affected by the position of the Earth with regard to the Sun, aa to admit of innumerable climatal peculiarities, especially of thoae periodical changes we 190 PHYSICAL GEOGRAPHY. caU Seasons ; when we further consider the effect of light, and the important relationa of light and heat with electricity, galvaniam, and magnetism, the vast importance of the aubject of heat wUl be underatood, and the reaaon for devoting some space to a consideration of the forms of matter, and their relation with this and other imponderable agents, vriU be fully recogniaed. 8 Forms of Matter. — In the general views that may be taken of natural substances, certain relations appear which afford the meana of arranging them in distinct classes, each diatinguiahed by certain aenaible and obrious qualities. The ffrst class consists of Solids, under which form most of the known part of the globe is presented. When in amaU masses, soUd bodiea retain whatever mechanical form may be given them: — thefr parta are separated with difficulty, and cannot be made to unite readUy after aeparation. Some (caUed non-elaatic) yield to pressure, and do not recover their former figure; others (called elastic) regain thefr form, after losing it by pressure. They differ from each other in degrees of hardness, in colour, fransparency, and weight, and when having definite crystaUine forms, in the nature of these forma. The aecond class consists of Fluids, oi which there are fewer varieties. These, in smaU masaea, assume the apherical form: their parts poaaess freedom of motion; they differ in degreea of density and tenacity, in colour and degreea of tranaparency. They are uauaUy regarded aa incompreasible. They are contained in or repose on soUds, and assume the form of the vessel in which they are placed. The third class includes Elastic Fluids or Gases, which may either exist free in the atmosphere, or be confined by soUds and fiuida. Their parts are highly moveable, they are compreaaible and expanaible. They are all transparent, and very rarely present colour. They differ materiaUy in density. It has been auppoaed by some natural phUosophers that there exists also a fourth kind of matter, which has been caUed Ether, occupying the spaces between those aggregations of matter which form suns, planets, comets, and satelUtes. The phenomena of Ught, heat, and electricity, and thefr relation to the Sun in our syatem, have been thought to requfre the existence of some intervening material substance in order to admit of the action of forces or powers recogniaed under those names. 9 Forces affecting Matter, and effect of Change of Temperature.— AH matter is subject to the law of gravitation, by which one portion is atfraoted to another in proportion to its mass, and inversely aa the aquare of the distance intervening. Matter existing at the Earth'a surface exhibite also the action of a force called cohesion, which preserves the form of soUds, and gives globularity to fiuida. This force is, therefore, a prime cause of the permanency of the arrangements to which we owe the aurface of the globe. When any aubatance in a state which occaaiona the sensation of heat to our organs, is brought into contact with another body which has no such effect, the result of thefr mutual action from the difference of these conditions, is that the hot body contracts and becomes cooler, whUe the cold body expands and becomes warmer. The effect of heat is, therefore, generaUy to cause the particles of bodies to separate from one another, and heat is communicated either by actual contact, or by means of rays fransmitted from the one body to the other. As, however, there ia nothing to affect the weight of bodiea in the com munication of heat to them, and they occupy larger space, after being heated, than they did before, they muat then become leaa dense. . , In the case of matter in the liquid or aerial form, the communication of heat ia found by experiment to take place by cm-rente, or particles actually moving amongst each other. How far currents may be induced in bodies in a aohd atate ia not easy to decide. Tbe effect of cfrculation thus produced is easUy recognised in the atmosphere, since the unequal heating of the Earth by the Sun produces wind ; and it ia seen also in currents produced m the ocean. FORMS OF INORGANIC MATTER. 191 When a substance in a fluid or sohd state is exposed to the action of heat, a change of condition takes place, the solid becoming at ffrst fluid, and then assuming the aerial or gaseous state. When, on the other hand, fluid or aerial bodies are made to part with thefr heat, they aasume in most cases a soUd form. Thus most of the gases become fluid, water becomes ice, &c. Generally, when a change of condition takes place in conaequence of the addition or abafraction of heat from varioua bodiea, the addition of heat pro duces expansion, and the subtraction of it confraction ; but the amount of change of volume is different for different substances, and material bodies change thefr states at very different temperatures. Owing to this it is that the matter at the earth's surface assumes the form of solid land, vrith a watery ocean floating on the surface and fiUing up inequaUties, whUe the atmosphere floats evenly over the whole. We have here exemplified the three conditions of sohd, fimd, and aerial. Although, however, generaUy the alteration of volume in different bodies IS uniform dm-ing similar changes of temperature — that is, although bodiea generaUy contract regularly whUe heat ia being regularly taken from them, and expand regularly during simUar increase of temperature, thia ia by no meana invariably the case. There are many exceptiona, but one is of vital importance to every organized being on the Earth, and has had much to do with the general constiinition of the Earth's crust. Water contracts regu larly as it cools down to a certain point ; it afterwards expands slowly as the heat is farther reduced, and aa it congeals or assumes the solid form, it ex pands considerably, so that ice, instead of being heavier, is hghter than water, and floats on its surface. Were it not so, the sea in cold latitudes would become graduaUy frozen into a mass of ice, which the bright and warm sun of summer would have Uttle effect upon. In point of fact, however, water congeals only at the surface, where it is liable to be acted on by the sun and by warm currents of afr, which tend to restore it to the fluid state. When the water in a lake, or in the sea, approaches near the freezing point, it • begins at once to descend, diminishing m volume and becoming, therefore, hearier, ao that no ice can be formed tiU the whole of the water haa been cooled to the point where it posseaaea greatest density. When the ice is once formed, it increases in thickness very slowly, the soUd form of water being a very bad conductor of heat. IO Sources and Causes of Heat. — The cause of heat is by no means clear, and there are many modes of producing it beaidea exposure to the sun's rays. A piece of Indian rubber extended and suffered to confract rapidly several times, becomes hot ; a naU is made red hot by hammering ; the axle of a carriage takes fire by rapid motion, when the friction ia not diminished by grease ; the sudden compression of fluids and gases also produces heat ; and, on the other hand, when by the afr-pump a receiver is rapidly exhausted of part of ita air, the sudden expansion of the remainder produces a considerable diminution of temperature. All these facts prove that one immediate cause of the phenomena of heat is motion. Since matter may be made to fiU a smaUer space by cooUag, it is evident that the particles of matter must have apace between them It ia also pos sible that the particles themselves may be actually smaUer than the inter vening space in the ordinary condition even of soUds, and thus in all cases currents of theae particles may be produced during the transmission of heat and the action of other imponderable agents. 1 1 Chemical Action. — The various material substances met with in nature are not only in different mechanical conditions, but are also variously acted upon by each other, If, for example, we take the three substances, oU, water, and soap-lees, it is eaay to show that the oU and water wiU not mix or act upon each other ; the oU wiU separate itaelf from the water and arrange itaelf according to its weight, the two fiuida not in the least combining. On the other hand, the soap-leea wUl mix intimately with the water, having none of its properties altered. But if the oU and aoap-lees are mingled, they wUl 192 PHYSICAL GEOGRAPHY. unite, forming a soft solid substance, which is, in fact, a species of soap, and differs materially from either of ita conatituent parta. Many substances in nature have thus what ia caUed affinity for each other, combining intimately, and the kind of attraction exhibited when two bodies have this affinity is called chemical aeiion. Different bodies, however, unite with different degrees of force, and one body ia capable of separating others from certain combinations, so that mutual decompositions of different compounds take place under favour able circumstances, and new combinations and new compounds are formed. Thia has been caUed double affinity, and it involves a kmd of preference of one body, or set of bodies, over another. It is thus often deacribed as elective affinity. Now, it is very important to understand the difference in kind, of those two forces whioh have been caUed respectively atfraction and chemical affinity, Attracticn, whether that of gravitation, cohesion, or what has been eaUed ad hesion (Ulustrated by the holding power of glue, mortar, &c.), never in any case effects a change in the properties of bodies. On the other hand, when two substances that have aflmity are brought into close approximation, and the affinities come into play, great and decisive changes take place in the two bodiea, and a new aubatance ia formed, which may be altogether dif ferent in aU its esaential characteristics from either. Thia action ia beat effected when the particlea are moat free to act on each other, and thua the addition of heat or fluid often facUitates considerably changes ofthis kind. The order of affinity is a matter also of great importance and interest. 12 Polarity. — There is yet another force exerted on bodiea, andtendiM to produce the condition of things observable at the aurface of the earth E ia best described by the word polarity, and is exemphfied by that form of polarity exhibited m a bar magnet, which tends to place iteelf (when sus pended freely) in a certain position vrith reference to Iwo opposite ideal points m space — the north and south pole — ^near the exfremities of the ideal axis round which the earth revolves. Tbe magnet also atfracte to itself at one end, and repels from the other, the exfremity of a simUar piece of fron also magnetized. Chemical polarity, however, involves much more than ordinary magnetic action, and must in the preaent atate of science be understood to include electricity and galvaniam, as weU as magnetism, if not light, heat, and chemical affinity. The form known as galvanism is that which exhibits most of the pecuUar results of this force, while that caUed magnetism ia not less interesting, as showing in some respecte the most fammar, as weU as dia tinctly marked phenomena of polarity, preaented in a moderately simple form. Electrical atfraction and repulaion are equaUy atriking, and not less simple in iUustration, Electric or galvanic action is generaUy connected either with the evolu tion of heat or chemical decomposition, and is excited by heating or rubbing certain soUd aubatancea, and by the contact of others of different kind when immersed in certain fluids. Changes of temperature at the Earth's surface, however, eUcit magnetic and elecfric currents, and theae again produce results which are among the most interesting that are met with on the globe. The Earth itaelf may be regarded as a magnet, and terresfrial magnetism may thus be ascribed either to inequaUties in the temperature of the globe, or to those galvanic currents which we regard as elecfricity moving in a cfrcuit. Scarcely any important change can taie place in the atmosphere vrithout the dis turbance of elecfric equUibrium. 13 Material Substances usually in combination at the Earth's Sulfate. —The intimate action of these forces, if they are diatinct, or the varioua modes of action of thia one moat varied force, if indeed there is but one, have pro duced those combinations which are presented at the Earth's surface, and have formed this variety of condition which is there recognised. Thus it is that some aolida are conatantly on the verge of change, under ordinary con- ditiona, while others are so permanent as to yield scarcely, if at all, to the FORMS OF INORGANIC MATTER. 193 most exfreme action of this force that we can bring to bear upon them. WhUe, also, some bodies are occasionaUy permanent in the fluid form, others can hardly be preserved in that form when very aUght changes of temperature occur, and some of the aerial or elastic fluids are so Uttle affected by the ab- sfraction of heat or increase of pressure, as not yet to have yielded to the greatest efforts tbat have been made, although others are readily altered and made to assume the Uquid form. Some decompositions also are easUy effected, whUe others are so only with exfreme difficulty ; so that the chemiat, whoae object it is to determine the ultimate constituents of matter, is often at a losa to know whether, after all hia laboura, he reaUy obtains an elementary body, or has to account for effects produced by assuming the admixture of portions of a body whose properties are not yet even imagined. Notwithstanding this doubt of the ultimate elementa, aince it is necessary for the purposes of science to have certain principles and generaUy acknow ledged facts from whieh to proceed, it has been found convenient to regard aU those bodies which no art has yet been able to decompose as elementary. Thus it is usual to speak of a considerable number of elementary substances, many of which, however, may be reaUy compounds, and many are so extremely rare in nature, or present in auch small quantities, that in general descrip tions they may almost be neglected. 14 Elementary Substances. — Of the ao caUed elementary aubatances, several are abundant and weU known, and others are highly important in combination, though of themselves rarely or never aeen. They are of two very distinct kinds — those which are metaUic, and those non-nietaUic. The whole number certainly known at preaent is fifty-nine, of which forty -three are metals, and five gases ; but of this number only about thirteen are abun dantly present in the rocks that make up the mass of the Earth's crust. The rest are chemical or mineralogical curiosities, or else occur in quantities so smaU as not greatly to affect the whole mass, however useful and important to man. The thirteen elementary (?) substances most abundantly distributed are the foUowing : — Four gases — oxygen, hydrogen, nitrogen, and chlorine ; Three non-metalUe soUd elements — silicon, carbon, and sulphur ; Five metals, important as alkaline bases — calrium (basis of Ume), sodium (basis of soda), potassium (basis of potash), magnesium (baais of magnesia), aluminum (basis of alumina, the ingredient of clay) ; One true metal — iron. 15 Oxygen Gas and its important Combinations. — Oxygen gas is beyond aU comparison the most abundant material present at the Earth's aurface, for although not met vrith in a free state, it is found mixed with nitrogen forming the atmosphere, with hydrogen forming water, and vrith sUicon, calcium, sodium, potassium, magnesium, aluminum, constituting various subatancea known aa aUica or flint, lime, soda, potash, magnesia, and alumina. It also forms, with fron and other metals, a vast number of the moat abundant of the ores and minerala. On the whole, aa much as one-half by weight of the materials ofthe Earth's crast consists ofthis gas. Oxygen gas is colourlesa, and a Uttle hearier than atmospheric afr. It may be made to unite with aU the othel elementa except one (fiuorine), and in many caaea its combination, atom for atom, vrith another element, forma what is caUed an alkaline base, while a larger proportion of oxygen produces the aubatances caUed acids. Other proportiona of this gas with other elements produce neufral bodiea (those which are neither acid nor alkaline), of which the most remarkable instance in nature ia water, a mixture of oxygen and hydrogen. A number of other combinations, under the name of salts, alao derive their important propertiea, and many of thefr most intereating pecuUaritiea, from the preaence of oxygen, 16 Combustion. — The phenomenon of combustion is one which it is O 194 PHYSICAL GEOGRAPHY. chiefly the province of the chemiat to conaider in reference to the various elementary bodies, but it is also very essential that we should have a general idea of its nature, in order to comprehend the mutual relations of light, heat, and chemical action. The combinations of oxygen vrith other substances are attended with an alteration of volume and the evolution of heat, and oflen, but not always, by a considerable amount of Ught; and in common language, when a body combines with oxygen, it is said to be burned, and instead of undergoing oxidation, is said to suffer burning, whUe a body which can com bine with oxygen and emit heat is caUed a combustible. It ia important to remember, that no loas whatever of ponderable matter occurs in combustion, and that the matter formed may always be coUected and thua proved to have the weight of the oxygen gaa added to that of the combuatible, which has either been reduced to an aah, or haa entered into new combinationa during the process. There is no such thing as annihUation discoverable in nature. 1 7 Nitrogen, Hydrogen, and Cldorine, wiih their Combinations. — Nitrogen gas is a singularly inert substance. It is tasteless and inodorous, and is hghter than atmoapherio afr, of which it forma four-fiftha, and in which it aeems chiefly to act as a dUuting medium. Forming so large a part of our atmosphere, it is necessarUy a very important and abundant material, but it mixes with few elementa, and its properties are chiefly negative. In many respects, it is remarkably contrasted with the thfrd mghly important gas, hydrogen, wliich, indeed, haa been compared to metals, in its relation to other elements, although it is the lightest substance known in nature, and is highly inflammable. Water — a substance universaUy distributed at the Earth's aurface, and preaent there in large quantities — is the result of the combustion of hydrogen and oxygen gases. It is eminently a neufral body, and is to a remarkable extent capable of diaaolving varioua proportions of other substances — a quaUiy which is well Ulusfrated in the composition of sea water, whose density is greater than that of pure water, by the addition of 3J per cent, of saline matter. It is probable that, at high temperatures, water ia capable of holding in aolution a portion of almoat every aubatance in nature. It is chiefly the remaining gas, chlorine, combined with soda, which makes up the saline matter present in sea-water. i8 Non-metallic Solid Elements. — Amongst the substances presented m a solid form under ordinary atmospheric conditions at the Earth's surface, carbon, silicon, and sulphur are highly important, exfremely abundant, and widely distributed. They are aU of them also without those peculiarities which characterize metals, iu the ordinary acceptation of the term. It wiU be as weU to describe the more usual forms of these elemente. Carbon occurs in three very different forms in nature, being crystaUized in the diamond ; existing in a state of partial crystallization, but of a very different fundamental form, in graphite or plumbago (the common black lead); and in a very different atate again in the varietiea of mineral coal. It appears to be quite infusible at any temperature, or under any circumstances to which it has yet been exposed by the chemist, and aeema to offer itself under thia variety of aapecta, according to the structure ofthe aubstance from which it ia derived, and the mode of ita preparation, when obtained artifieiaUy. Carbon is abundantly preaent in aU organic substances, and is a principal ingredient in the carbonates, of which limestone (carbonate of lime) ia the moat widely distributed, and the largest in quantity. Sulphur is Ukewiae an elementarv substance, occasionaUy found native and pure, but more commonly combined with other elementa. This ia especially the case with regard to the moat important metals, which are, vfith few exceptions, found associated with this substance. The metal arsenic, and another rare metal caUed selenium, exhibit very remarkable analogies with sulphur in their mixtures with metals. Silicon is the name given to an elementary aubstance derived by removmg its oxygen from pure sUica, which in the state of flint or siUceous earth is one of FORMS OF INORGANIC MATTER. 195 the most abundant of aU the matters that compose the Barth's crust. This mineral constitutes sand, all the different varieties of sand-stone and quartz rock, and, combined chemioaUy with alumina, it forms a very large propor tion of aU flays. In its pure and elementary state it is of Uttle interest, but in consequence of tho number and importance of its combinations, it is beyond aU comparison the most remarkable of the non-metaUic elements. Combined vrith line, potash or soda, magnesia, or alumina, and often with fron, it forms nearly all the other mineral ingredients of granite, mica-slate, volcanic rocks, shales, sandstones, and various aoUa — in other words, of aU rocks, with the exception of pure limestones. 19 Metallic Elements the Bases of Earths. — The metal calcium mixed with oxygen (with which it combines so readUy as not to be preservable, if exposed in contact with any known aubstance containing that gas) forms the substance caUed lime, and this again combined with carbon and an additional supply of oxygen (carbonic acid), is the ingredient of aU marbles and Umestones, in cluding under that name chalk and other calcareous bodies of whatever kind. Combinations of other elements with lime are also abundant in nature, and of these sulphate of lime (gypsum or alabaster) is one of the most interesting. Alumina, derived from an obscure metal, just as lime is derived from calcium, is rarely met with in nature, except as a very hard and precious mineral, called the oriental sapphire, which exhibits its true crystaUine form. It is aa sUicate of alumina or clay that this material is most interesting in reference to the Earth's crust. In that form, however, it is universaUy and abundantly disfributed. Soda and Potash are two other substances which are very widely dis tributed; the former in sea water with chlorine, the latter in nifre (saltpetre). Magnesia, in Uke manner, is very plentiful, although the quantity is not so great as in the case of aome other substances whioh may be regarded as proximate elements. 20 Metals. — Iron is the only metal which is at once so universal and so abundant as to be worthy of a rank among the principal ingredients of the globe. It is not found native in the Earth, though fragments are met with on the surface, containing this metal in association with other metals, but its ores are numerous, and its presence is everywhere recognised. It ia quite unnecessary to define and describe a substance ao universaUy known. These various aubstancea, the remaining elements, and numeroua combina tions of these and other elements, amounting, however, in aU to a comparatively amaU number, are mixed together in certain definite proportions, and thus form what are caUed minerals, groups of which in mass are designated rocks. Minerals, in most cases, are capable of assuming definite forms, and become crystaUized into certain recognisable shapes, the study of which, and of thefr relationa with each other, forms the basis of the science of mineralogy. The consideration of those masses of minerals which we have described as rocks, the earths, clays, Umestones, aandstonea, &c., the various kinds of granite and slate, and aU other great and vridely-spread coUections of Uke minerals, forms one department of geology, and is more immediately interesting in the study of physical geography. 21 Mutucd Action of various Forms of Matter. — Reverting to the obser vations made in the beginning of the present chapter, it will be under stood that the dirision of aU matter preaent at the Earth's aurface into three parts — namely, soUd, fluid, and aerial — ^has its origin in certain conditions of temperature and certain chemical combinationa. It is not, as we have now seen, an essential condition of matter that there are theae various states, it ia rather what may be caUed an acridental condition, but at the aame time one particular state seems much more consistent than any other with the known properties of some of the elements, and also of aome of their combinationa. These various conditions, however, involve many modifications, chiefly mechanical, and the fact that air and water are capable of retaining small quantities of each other, and of various elements in aolution and auapension, o 2 196 PHYSICAL GEOGRAPHY. without chemical change, cauaes some very important and highly interesting reaulta. The crust of the Earth is greatly affected by the passage over it of air and water ; these latter aubatances also greatly affect each other, and the whole mechanical sfructure ofthe crust ia, in fact, due to the action of air and water, and air mingled with water, aa modified by the changes of temperature resulting from the partial incidence of the sun's rays on the aurface, and the more or less favourable condition of the atmosphere for franamitting light and heat, aa weU aa of the Earth'a aurface for receiving them. Thus, it is that Meteoeology and Hydeology become part of Physical Geography, and that the sciences relating dfrectly to afr and water require to be considered as portions of a more general acience, whose object it is to describe general terrestrial phenomena, Thua alao it ia that Chemistey ia to a certain extent required for the same end, and that the laws affecting thoae forcea which modify the material elementa, muat be in some measure explained and under stood, before we can proceed to consider either the surface or structural phenomena of our globe. 22 Terrestrial Magnetism. — There is yet one more subject to be con sidered before passing on to the material phenomena of the globe. The researchea of natural phUosophers, chiefly of our own day, have brought to Ught a vast group of facts concerning the magnetic condition of the Earth, and have shown that which is now designated ' terrestrial magnetism,' must be regarded aa one of the moat important, if not absolutely the most important, of aU the imponderable agents. We have afready aUuded to the phenomena of magnetism, commonly so caUed, and have said that the tendency of a magnetic needle to arrange itself in a certain dfrection, ia connected with a subject of great extent and high interest. The Earth, in fact, exhibits a certain amount of magnetic force, and this is manifested at the surface by three classes of phenomena: varying intensity of the attraction; varying declination, the needle not always pointing to the aame spot or pole on the Earth's aurface ; and varying inclination, or amount of departure of the needle from the horizontal plane. Thia latter variation is caUed the dip of the mag netic needle, and the declination is commonly spoken of as the variation of the compaaa. In other words, when a compass is referred to, in different parts of the Earth, or at distant periods, the needle wiU not be found always to arrange itself so quickly in its position of rest ; it wiU not always point to the aame point, and it wUl not, if auapended, freely repoae in a horizontal plane, or at the aame angle to the horizon. In Uluafration of thia, it may be mentioned, that whUe in the year 1657, the needle pointed due nortii in London, thia was not the case in Paris tUl twelve years afterwards, notwith standing the smaU difference in longitude between the two cities. At the present time, the whole of Europe, except a smaU part of Russia, has west dechnation, whUe in Asia the declination is east. But the most remarkable fact with regard to this constant shifting of the dfrection ofthe needle, is that there is an hourly change of position dependent on the apparent course of the sun and the lapse of time between the observa tions. The hour of the day may in this way be known between the fropics, and the movements of two small bars of magnetized steel suspended from a thread, even if they are suspended at depths beneath the Earth's surface, wfll measure accurately the distance which separates them. There are also parts of the Earth where the mariner, who has been enveloped many days in fog, seeing neither sun nor stars, and having no means of determining time, may know with certainty, by an observation of the magnetic inclination, whether he is to north or south of the port which he desires to enter. The hourly changes of dechnation of the needle seem to be govemed by the sun, whUe that luminary is above the horizon of any spot, but they also have reference to the actual position of the spot on the globe, and its distance from the magnetic polea. Throughout the northern hemisphere the mean movement of the north end of the needle from 8| a.m. to 1^ r.A, is from east to west, and in the southern hemisphere, at the same time, from FORMS OF INORGANIC MATTER. 197 west to east. Thus, along a Une near the equator there is no horary variation in declination. The name of magnetic poles has been applied to those pointa on the Earth'a aurface where the horizontal force disappears. Of theae there are two in each hemisphere, not far removed from each other, or from the true poles of the Earth, but unequal in the amount of their attractive force. The focus of greatest intensity in the northern hemisphere is in North America, near the south-west shores of Hudson Bay, in 52° N. latitude. The corresponding weaker focua is in Siberia, about 120° E. longitude from Greenwich. It is known that the forces which attract the north end of a magnet and repel the south end, preponderate in the northem hemisphere, while in high latitudes, in the south hemisphere, the converse is the case. There is, there fore, in addition to the Une of no decUnation, near the equator, another line of no preponderance of the northern or aouthern force, and it is found that both hnes are exfremely frregular. The intensity of the magnetic force is measured by examining the oacU- lation of a auapended needle, and ia determined with very great accuracy. The intensity increases towards each pole, and thus we have a line of least magnetic intensity near the Earth'a equator, in addition to those Unes afready mentioned, and quite distinct from them. Intimate relations have been discovered between the state of elecfricity of our atmosphere and the magnetic condition of the Earth, and it is known that whUe a conductor of elecfricity is rendered magnetic by the passage of an elecfric current through it, so also magnetism gives rise by induction to electric currents. The identity of electricity and magnetism is thus fuUy made out. The importent discoveries of Faraday on the condition of matter with regard to magnetic influences — ^magnetic force affecting aU bodies as necessa rily and dfrectly as the force of gravitation, — ^haa given new interest to this subject. According to the reault of hia experiments, aU aubstancea arrange themaelvea into two great divisions — the magnetic, in which the substances tend to place themselves paraUel to the dfrection of the magnetic needle, at the spot where the experiment is performed; and the diamagnetie, where the tendency is to assume a dfrection at right angles to that of the needle. By far the greater portion of the materials which compose the Earth's crust ijelong to the latter, or diamagnetie class; for even as respects the rocks and mountains, the quantity of magnetic matter needed to counteract the diamagnetie tendency is very large, and the ocean, lakes, rivers, and atmo sphere exert thefr effect as diamagnetics, almost uninfluenced by any magnetic matter. Mr. Faraday has suggested the possibUity of magnetism being, in fact, generated in the atmosphere by Ught proceeding from the sun, and passing rapidly through the air, but he vriaely suspends any theoretical con siderations until experiment has given a sufficient groundwork for them. However this may be, there can be Uttle doubt that for aU practical purposea we must regard the magnetic force as resident only on the surface, or rather just vrithin the oxidised crust, which ia all that we actuaUy know of our globe. The Earth is not, aa was once imagined, an inert mass, having, by some unimagined means, a pecuUar power to attract fron towards its two poles of rotation. It is a masa of matter, every part ofwhich is affected by magnetic force, and which ia, throughout its external crast, hard and immove able aa that may seem, exposed to changes and modifications of the most exfraordinary kind, and of great extent. 198 CHAPTEE III METEOROLOGY. 23. Constitution ofthe atmosphere. — 24. Its chemical condition. — 25. Its chief importance in Physical Geography. — 26. Its relation to light generally. — 27. Twilight. — 28. Mirage. — 29. Colour. — 30. Atmospheric meteors exhibiting colour. — 31. The phenomena of sound.— 32. Motion of the air — Winds. — 33. Land aud sea breezes. — 34. Trade winds. — 85. Mon soons. — 36. Hurricanes. — 37. Eelations ofthe atmosphere to water. — 38. Dew. — 89. Mists and fogs. — 40. Clouds. — 41. Kain. — 42. Distribution of rain. — 43. Snow. — 44. Glaciers.— 45. Hail. — 46. Climate, and distribution of heat. — 47. Conclusions. CONSTITUTION of the Atmosphere.— ^^e proceed now to consider that KJ portion of the material universe preaent in an aerial form at the Earth'a aurface, and which haa long been known under the name of atmosphere. The atmosphere is highly elastic, and therefore more dense near the Earth's surface than in its upper portions, where there is less pressure ; but notwith standing its great elasticity, there can be no doubt of ite terminating abso lutely at a small elevation compared vrith the magnitude of the Earth. The real extent of this gaseous veU has not indeed been very satisfactorily deter mined, and has been variously estimated at from forty to a hundred nules ; but as the diameter of the Earth is eight thousand miles, the largest estimate does not assume it to be more than one-fortieth part of the radius, and there is no reason to suppose that it is nearly so much. The weight of the whole atmosphere can be accurately determined, and the degree of preaaure at any point is alao a fact which offers Uttie difSculty in determining. By depriving of afr the closed upper exfremity of a tebe filled with mercury, whioh opens below into a cistern also fuU of mercury, the pressure of the whole column of the atmosphere may be measured against that of a column of mercury, and thus the pressure is found to be equivalent to about fifteen pounds on every square inch of aurface. The conatituenta of the atmosphere are as foUow. Of every 10,000 parts of afr in the ordinary state with regard to moisture, there are — Oxygen 2,100 Nitrogen 7,750 Aqueous vapour 142 Carbonic acid gas 4 Carburetted hydrogen 4 10,000 There ia alao a frace of ammoniacal vapour. It waa formerly aupposed, that in whatever part of the Earth it is taken, at whatever depth or height above the mean level of the surface, or under other peculiar cfrcumstances, the constitution of the atmospheric air was exactly the same. Although this is not quite frue, it is very nearly so, the quantity of oxygen varying sUghtly, but perceptibly, in different seasons of the year, and over the sea, or in the interior of contmente. So mueh change by oxidation is constantly going on at the Earth's surface, that it would be strange if this were not the case ; but the absolute quantity of this gas com pared with the surface and the materiiJs exposed to its action, is far too great for the change to be readUy perceived.* * It may be interesting to repeat here tho diiTcrent localities from which the atmospheric air has been chemically examined, to show how little tlie proportion changes. The air from the Alps was analysed by the younger Saussure; from Spain, by De Marti; fi-om France and ligypt, by BerthoUet ; from England aud tho coast of Guinea, by Davy ; fi'om the Peak of METEOROLOGY. 199 In addition to the materials afready mentioned, there are also traces of ammoniacal vapour and even of some other gases in the atmosphere ; but these, although important in their influence ou organization, are not to be considered as afi'ecting the general physical condition of the afr. It has also been supposed that the atmosphere contains, diffused through it, minute por tions of the vapours of aU those substances with which it is in contact, even including earths and metals. Although, however, unknown ingredients may be occasionaUy mingled with the atmosphere and impart to it deleterious properties, auch ingredienta being of too subtle a nature, and present in too smaU proportion, to be discovered by our imperfect instruments, it yet ap pears that a limit exists to the production of vapour of any tension by bodiea placed in auch a medium aa the atmosphere, and that beneath auch limit they are perfectly fixed. 24 Its Chemical Condition. — Two views have been entertained of the nature of the union that exiata among the elaatio bodies forming our atmo sphere. It has been generaUy supposed to be a chemical compound, because the proportions are very nearly fixed, and the ingredienta do not tend to arrange themaelvea according to their different specific gravities. It ia, however, more probable that the mixture ia, after aU, mechanical, the various elastic fluids not having any atfraction or repulsion towards each other beyond that of the simple action of the law of gravitation, and each of the ingredients exerting its own separate pressure, and behaving as if it were itself free, and formed a distinct atmoaphere. The most important and valuable investigations in the science of meteor ology, have been founded on the assumption that there are two distinct atmospheres, one of dry air, and the other of aqueous vapour, and that these are inixed mechamcaUy together; and alao on the conclusion that the relations of these to heat are different, and thefr states of equUibrium incompatible with each other. Thus are produced those changes of^condition consequent, aa we know, upon changea of temperature, and also thoae other changes resulting iu what la caUed climate. 25 Its chief Importance in Physical Geography. — The atmoaphere may be chiefly regarded aa important in Physical Geography in its relationa vrith Ught and aound ; vrith heat, aa the means of distributing temperature ; with water, as the meana of distributing moisture over the Earth; and with electricity, as connected with the mode of action of thia force in aU ita varioua forma. The motion that takes place in the atmosphere, and which we deno minate wind, is thus a matter of vital interest, since it aids in these diafribu- tions, and affects also very directly many operations of man. The optical and acoustical phenomena of the afr being, to a certain extent, independent of its motion, though not uninfluenced by it, may first be considered. We may then study the pnenomena of the winds, and afterwards proceed to conaider some points connected vrith the distribution of heat and water. 26 Its Belation to Light. — In its relations to Ught, our atmoaphere plays a very important part, and greatly affects the action of several forms of the imponderable force; and whatever its origin or trae nature may be, it is capable of teansmission through certain bodies, thence aaid to be transparent, of which the atmosphere is one. It is found that in being transmitted or passed through a fransparent body, a change of direction ofthe ray of Ught takes place whenever the sub stance througli which Ught pasaea becomes of different denaity, or when Ught passes from one medium to another of different density. Thus, when a stick IS placed in water, and is not vertical, it wiU appear to an eye looking down Teneriife, and near the summit of the Andes, by Humboldt ; and from the still loftier elevation ot 22,000 feet, (attained in a balloon,) by Gay Lussac and Thenard ; and all these gave results approaching as nearly as possible to each other. The observations of Lewy are those refen-ed to as showing a slight difference in different parts ofthe Earth. 200 PHYSICAI, GEOGRAPHY. upon it as if it were bent, for the water is more dense than the afr, and the body ia aeen only by meana of the raya of Ught which proceed from it ; and thus, also, if Ught pass through afr of different density, the rays are bent at an angle or curved. A part only of the Ught, however, ia tranamitted, part of it being actuaUy lost, part of it reflected, and a part dispersed. It is im portant to remember that, in proportion as light pasaea through a greater thickneaa of matter, as for example, of afr of varying density, it becomes less and leas in quantity, being graduaUy absorbed, dispersed, and reflected.* It is usual to apeak of the bending of light in its passage from one medium to another of different denaity, imder the term refraction, whUe the throwing back of light from a surface ia caUed reflexion. A ray faUing on a body ia aaid to be incident. The part fransmitted is r^r acted, and that thrown back, reflected. The courae of a ray of light in ita progreas to the earth ia, therefore, as foUows : — The ray faUa on the uppermoat limits of the atmosphere, and meets there an elastic fransparent fluia : at thia point it is turned aside or refracted, a small part of it being, however, reflected back into space, a part dispersed, reflected, or distributed into the surrounding atmosphere, and a part abso lutely lost. As it proceeds through the afr towards the Earth, it passes continuaUy into a denser atmosphere, because the pressure increasing, and the afr being elastic, the dimensions diminish, and at each instant the ray becomes therefore more and more deflected, whUe more and more of it is absorbed, and more is also diapersed and reflected. The portion that reaches the Earth varies in quantity according to the extent of atmosphere passed through, and its density, and is therefore not constant; but whatever the amount be, this portion ia refiected back from the surface of opaque bodies, or fransmitted, vrith atUl further loss, through fransparent ones, and so again and again tUl it is completely dispersed or desfroyed.t Diminished splendour, and the false estimate we make of distance, from the number of intervening objects, lead us to suppose the sun and moon to be much larger when in the horizon than at any other altitude, though their apparent diameters to the eye when measured are then somewhat less. These and a number of other effects are results of refraction and the partial loss of light in passing through a great thickness of atmosphere. In consequence of the dispersion of Ught by meana of the atmosphere, we obtain aU thoae varietiea of half shade which alone enable ua to make use of organs of vision constructed aa oura are. If it were not for thia, we ahould constantly have either fuU broad and dazzUng Ught, or deep black shadow and impenetrable darkness. The objecta from which Ught is emitted are few, and, with the exception of the sun, are rarely avaUable, except by artificial means, so that in countries where the sun is often long absent, or where the clouds obscure its face during a large part ofthe day or year, the inhabitants would, in the caaea aUuded to, be in total darkness. A large quantity of hght being, however, dispersed and reflected from particles of vapour in the afr, there can hardly be found at any hour of the night, or at any season, a total abaence of Ught, and there are no sudden and abrupt franaitiona to affect our deUcate organs of vision. 27 Twilight. — During a fine, clear, calm day, in our northern latitudes, it may be observed, that as the sun approaches the horizon, the sky in the west asaumea a yeUow or red tint ; towards the zenith, or dfrectiy overhead, it becomes whitish, and the sky is less clear ; untU just as the sun has fairly • See ante, p. 76 . t The quantity oflight that passes through the atmosphere in different states may be thus estimated :— Of 10,000 rays falling on the surface of the Earth, 8123 arrive at a given pohit if they fall perpendicularly, 7024 if the angle of direction be 60°, 2S,?1 if it be 7°, and only flve rays arrive through a horizontal stratum. In consequence of so large a proportion Of light being sometimes lost in passing through the atmosphere, many celestial objects may be altogether invisible from a plain, and yet be visible fl-om elevated situations. METEOROLOGY. 201 sunk below the horizon, a red colour is seen in the east opposite to the setting sun. This is the commencement of the phenomenon called twilight, and is ovring to the existence and properties of the atmosphere, and chiefly to the light being reflected from its higher portions. It depends, however, on the position ofthe Earth with respect to the sun, and also the condition of the atmosphere at the time, how long this phenomenon shall continue ; since, in the fogs of winter, darkness comes on almoat immediately after aunaet, whUe, on a clear summer evening, the broad Ught of day continues for more than an hour little diminished. A simUar phenomenon of twiUght occura in the morning before sunrise. Investigations concerning the absolute limits of our atmoaphere have been greatiy aaaisted by careful observations on the duration of twUight, but the subject is one of great intricacy, and the results which have been hitherto obtained are not absolutely conclusive. , 28 Mirage. — It is not only the rays of Ught that proceed from a lumi nary vrithout the Earth, but also those emanatmg or reflected from bodies at and near its surface, that are refracted by the unequal density of different parts of the atmosphere. The phenomenon of ordinary refraction, as it occura in fluids of equal density throughout, is exceedingly simple, of whatever kind the fluids may be, when once the principle of refraction is understood ; but this is not the case with some curious appearances connected with unusual and irre gular refraction producing optical iUusions, and not unfrequently assuming aU the appearances of direct reflection. The word mirage has been appUed by the French to such phenomena, and as there is no satisfactory English trans lation, we must be content to adopt it. The Ulusions of mirage differ according to cfrcumstances, and they are aometimea exceedingly afrange and almoat atartUng in thefr character, pre senting an image of what reaUy exista, but ia entirely out of the range of ordinary vision. Sometimes, also, they exhibit parts of objects, broken, dis torted, and out of place ; sometimes they confuse in a singular manner the true outlines of objecta, and occasionaUy they present a gorgeous and fairy- Uke spectacle — superb palaces, vrith then- balconies and windows resting on the boaom ofthe broad ocean, lofty towers near them, herds and flocks grazing in wooded vaUeya and fertUe plains, armies of men on horseback and on foot, with multipUed fragments of buUdings, such as columns, pUasters, and arches. All these may be aeen again repeated in the afr above, and fringed with red, yeUow, or blue Ught. Phenomena so sfriking can be explained only by a reference to the condi tion of the atmosphere when in an unusual state vrith regard to moisture as weU as density, and they may be conveniently arranged under one or other of the three foUowing clasaea : vertical reflection, lateral reflection, and s uspenaion. The moat aimple example of vertical refiection is that often observed in hot sandy deserts, and occurring after the soU haa become heated by the presence of the sun. In auch caaea, the prospect seems bounded by a sheet of water, and underneath each object, as the viUages which in Egypt are generally buUt on smaU eminences, the apparent refiection is aeen as if in water. A singular effect of thia kind is described as haring been noticed in India, where Captain Maunday states, ' A deep, precipitous vaUey below us, at the bottom of which I had seen one or two miserable viUages in the morning, bore in the evening a complete resemblance to a beautiful lake. The vapour, which played the part of water, ascending nearly half-way up the sides of the vale, and on ite bright surface trees and rocks were distinctly refiected,' In horizontal reflections the image is presented sideways. In this manner Dover Castle has been seen from near Ramsgate, as if an intervening hUl, which under ordinary vision cuts offa part of it, were actuaUy removed ; and in this way, too, the French coast has been seen distinctly, and in aU its detaUs, from near Hastings, although the distance is sufficiently great to render it invisible by ordinary refraction. The phenomenon of suspension is not less remarkable, and is caUed in sea 202 PHYSICAL GEOGRAPHY. language, looming. It consists in the representation of an object immediately above its true place, either in its true position or reversed. Thus, Captain Scoresby describes that he on one occasion diatinctly recogniaed hia father's ship at sea, by its inverted image fri the afr, although the distance between the two ships was aa much as thirty mUes, and the ship was therefore far below the horizon of that from which it was observed, AU these phenomena, and their different modifications, depend on the dif ferent density of the lower strata of the afr, and as thia difference of densitv may be occasioned both by heat and moisture, and aa heat may be reflected from a mountain side as weU as from the horizontal surface of a plain, and from the sea as well as from the land ; and further, as contiguous vertical columns of afr, as weU as horizontal strata, may be of different densities, itis easy to understand why mfrage may be aeen in very different situations, and why it presents auch varied appearancea. It wiU also be erident that any cause which re-estabUshes the equUibrium of density in the different portions of the afr must cause the Ulusions of the mfrage to vanish. Calm in the atmosphere is almost essential to the phenomenon in question, and it has been remarked that thisperfect cahn is often the precursor of a tempest. 29 Colour. — The ray of white Ught proceeding from the sun, and whose course we have traced through the atmosphere, has been found to consist, in reaUty, of several rays, some ofwhich communicate to our eyes the notion of various colours, whUe others seem chiefly important in producing heat or chemical action. It is found, alao, that these rays are differently affected by paaaing through, or being reflected from the same substances, aome being more readUy absorbed and loat than others. Thus, the impression on our senaea in looking through the clear atmoaphere, ia that of blue, whUe the aetting sun communicatea red or golden light to clouda, according to the cir cumstances under which the Ught faUs. The colours which, being combined, make white light, are three, and are called blue, red, and yeUow, but several weU marked modifications of these exist, and it ia uaual to speak of seven primitive coloura — ^viz., red, orange, yellow, green, blue, indigo, and violet. All aubstancea known, however opaque, aUow some portion of Ught to pass through them, and aU, however transparent, absorb and deafroy some rays. The coloura of bodies are derived from thefr power of absorbing certain raya more readUy than the reat, and thus giring forth light, which, in atead of being a mixture of coloura in the proportiona of white light, have some colour in exceaa, the idea of which they communicate to the eye. When light also passes through a transparent medium, auch as a priam, a glass sphere, or a drop of water, it becomes decomposed, and in this way are pro duced some of the moat atriking meteoric effects in which colour appears. Bodies that refiect aU the rays in the same proportion appear white, those that absorb all are black ; a violet refiects the violet rays alone, and absorbs the rest ; while a leaf reflects the blue and yeUow rays, absorbing the red, and produces by a mixture of the two the compound colour known as green. Very careful observation has shovm that there are dark Unes in the image f Gcologi/, 7th edition, p. '105, r/ passim. PERMANENT ELEVATION OF LAND. 281 is manifestly due to the action of causes strictly analogous. In South America, indeed, everything is on a grand scale, and aU recent causes of disturbance are there exceedingly active ; but the examination of the surface vrith a view to discover, as far as may be, to what its pecuhar appearance is ovring, has brought to Ught a series of movements of the nature chiefly of permanent elevation, hardly traceable in other parts of the world. Eecent shells — the sheUs of animals whose immediate descendants of the same race are now hving in the Atiantic — are found on the shores from Tierra del Fuego northwards for 1200 nules, and at the height of about 100 feet in La Plata, and of 400 feet in Patagonia. The elevatory movemente on this side of the continent have been slow, and the coast of Patagonia, up to the height in one part of 950 feet, and in another of 1200 feet, is modeUed into eight great step-like, gravel-capped plains, extending for hundreds of mUes vrith the same heights; this fact shows that the periods of denudation (which, judging from the amount of matter removed, must have been long continued,) and of elevation were synchronous over surprisingly great lengths of coasts. On the shores of the Pacific, upraised aheUs of recent apecies, generaUy, though not always, in the same proportionate numbers as in the adjoining sea, have actuaUy been found over a north and south range of 2075 mUes, and there is reason to believe that they occur over a space of 2480 mUes in length. The elevation on this weatern side of the continent has not been equable; at Valparaiso, within the period during which upraised sheUs have remained undecayed on the surface, it has been 1300 feet, whUat at Coquimbo, 200 mUes northward, it has been, within this same period, only 252 feet. At Lima, the land has been uplifted at least 80 feet aince the Indians inhabited that district; but the level, within his torical times, has apparently subsided. At Coquimbo, in a height of 364 feet, the elevation has been interrupted by five periods of comparative rest. At several places, the land has been lately, or stiU is, rising, both insensibly and by sudden starts of a few feet during earthquake shocks ; a fact which shows that these two kinds of upward movement are intimately connected together. For a space of 775 mUes, upraised recent sheUs are found on the two oppo site sides ofthe continent; and in the southem half of this apace, it may be safely inferred from the slope of the land up to the Cordillera, and from the sheUs found in the central part of Tierra del Fuego, and high up the river Santa Cruz, that the entire breadth of the continent has been upUfted. From the general occurrence on both coasts of successive Unes of escarpments, of sand-dunes, and marks of erosion, we must conclude that the elevatory movement has been interrupted by periods when the land was either stationary, or when it rose at so slow a rate as not to resist the average denuding power ofthe waves, or lastly when it was in a atate of aubsidence.* In estimating the value of the different hypotheses which have been offered to account for this remarkable phenomenon of the gradual upheaval of land, it must not be lost sight of, that the change, important as it is in reference to the organic world, is exceedingly smaU compared with the whole mass of the Earth. It is natural to conclude, however, that the upheaval being so dfrectly coimected with volcanic disfricts, wher^ it is most manifest and considerable, (as in South America,) and occurring elsewhere in spots which are not without occasional earthquake movements, is connected in some way with the heated condition of the Earth's interior. This heat, however, may produce its effect in two ways, either by expanding gaaes and forcing the crust to be upheaved by thefr agency, or by the actual expansion of large and thick masses from the increase of heat which they very graduaUy receive during subsidence owing to the increasing nearness of warmer portions ofthe Earth. It has been proved by experiment and calculation, that if a portion of the * Darwin's South America, p. 2i6. 282 PHYSICAL GEOGRAPHY. Earth's crust, 100 mUes thick, and of the expansibUity of sandstone rock, were heated 600° or 800° Fahrenheit, this alone would produce an elevation of between 2000 and 3000 feet. It is important to bear in mmd these facts, and their bearing on Physical Geography. 104 Depression over Large Tracts. — The movement that goes on in the way of elevation over such extensive areas as those we have been describing, and which indeed appeara to have acted vrith regard to many other wide tracta of flat land upon the Earth, is not unaccompanied by partial depreasion, occurring even in aome diatricts where elevation is the prevailing movement. Evidences of this are seen in submerged forests, or indications of the former growth of trees where the sea now reaches; but other points of eridence, on a much larger scale, are not wanting. If, however, there is difficulty in meaauring accurately the relative level of land and water, ao as to discover a smaU elevation, the difficulty of proving simUar moderate depresaion is stiU greater. In spite of this difficulty, there is not wanting proof that whUe elevation is going on on the eastem shores of the Atlantic, tiie westem coast offers a converse phenomenon in the sinking down of part of the coast of Greenland for a space of more than 600 mUes in a north and aouth direction. Obaervations were made- on thia subject by Captain Graah, duringa survey of Greenland in. 1823-24, and afterwarda in 1828-29, and othera by Dr.Pingel in 1830-32. It appeara, from signs and traditions, that the coast has been subsiding for the last four centuries from the firth caUed TugaUro, in latitade 60° 43' N., to Disco Bay, extending to nearly the 69th degree of north latitude. Ancient buUdings on low rocky islands and on the shore of the mainland have been graduaUy submerged ; and experience has taught the aboriginal Greenlander never to buUd his hut too near the water's edge. In one case, the Moravian settlers have been obUged more than once to move inland the poles upon which thefr large boats were set, and the old poles stiU remain beneath the water as sUent witnesses of the change.* But far more striking, though not altogether dissimilar, memonals of this gradual change are found in connexion vrith the work of Uving and dead animals constructing a atony habitation in varioua parte of the fropical and adjacent warm seas. Here the coral animals begin to buUd in moderate depths off the coast, either of the mainland or the innumerable ialanda of those seas, and appear to fiourish best where most exposed to the ceaseless and violent dash ofthe waves. Increasing with enormous rapidity, the Uving waU or reef aoon expands lateraUy, but is not continued downwards to a f renter depth than ahout thirty fathoms, except in the case of smaU and etached individuals of different species. Now, it appears that in spite of thia limit ofthe depth of Uving coral reefs, vast areas are interspersed with such reefs, so that in the space of ocean extending from the southern end of the Low Archipelago to the northern end of MarshaU Archipelago, (a lengtii of 4500 mUes,) every island, with one exception, is atoU-formed, atoUs being cfrcular groups of coral, with a salt water lake within them, the water within the lake being generaUy very shaUow, whUe almost immediately outside the ialand, the depth is very considerable, and sometimes unfathomable. To give some idea of the true extent of phenomena of this kind, we may mention that some of these atoUs are oval-shaped, measuring from fifty to eighty mUes in length, and nearly twenty mUea in breadth, while one extenaive bank (the Chagos bank) presents all the characteristics of an atoU, except that it does not reach the surface, but is completely submerged. The longer axis of thia bank measures ninety miles, and the shorter as much as seventy; ite cenfral part is a level, muddy fiat, between forty nnd fifty fathoms deep, surrounded on all sides by steep mounds, rising from twenty to thirty fathoms, with a breadth of from five to twelve mUes, and the whole bank is bordered by a waU about a mUe wide. I.yell, aiitv cit.. p. OOC. PERMANENT DEPRESSION — CORAL REEFS. 283 rising to within five or ten fathoms from the surface. At a diatance of a mUe outaide this waU, the depth of the sea is 200 fathoms. In addition to these atoUs, coral reefs of a more continuous nature extend as barriers at some distance from the coast line of Australia, and other large islanda. Theae are caUed barrier reefs, and resemble atoUa in the depth of the aea outside their outer waU, and also in having a lagoon channel. These are also of enormous extent, extending on the west coast of New Caledonia for 400 mUes, at a diatance of eight leaguea from the ahore, and on the north eastern part of AuatraUa for 1000 mUes, averaging from twenty to fifty mUes from the shore. In addition to these two kinda, there is a third kind of coral reef, not unuaally found fringing volcanic ialands in the Indian Ocean. These have no lagoon channels, they are narrow, often not more than fifty to a hundred yards wide, and they are lesa deep than those afready described. The cause that has given to atoUs and barrier reefs their characteristic forms is supposed by Mr. Darwin to have been the gradual subsidence of portiona of the bed of the ocean over large areaa, and ia partly deduced from the conaideration of these two cfrcumstances — namely, that reef-buUding corals fiourish only at limited depths, and secondly, that vast areas are inter spersed vrith coral reefs and coral islets, none of which rise to a greater height above the level of the sea than that attained by matter thrown up by the waves and winda. The foundation of each reef ia assumed to have been rocky, but it cannot be thought probable that the broad summit of a mountain Ues buried at the depth of a few fathoma beneath every atoU, with acarcely a point of rock projecting above the surface over so wide an extent as that in which these phenomena have been fraced. Much other eridence in favour of the same view is adduced by Mr. Darwin, in his admfrable work On Coral Beefs, which is accompanied also by a coloured chart of aU such reefs and islanda, one colour marking those districts in which barrier reefa and atolls occur, and another indicating the fringing reefs only. It appears, then, aa the general concluaion with regard to this subject, that when these two great types of structure — namely, barrier-reefs and atolls on the one hand, and fringing reefs on the other, are thus laid down in colours on map, a magnificent and harmonious picture of the movements which" the crust of the Earth has vrithin a late period undergone, is presented to us. We there see vaat areas rising, vrith volcanic matter every now and then bursting forth through the vents or fissures with which they are traversed. We see other wide spaces slowly sinking without any volcanic outbursts ; and we may feel sure, that this sinkmg must have been immense in amount, as well as in area, thus to have buried over the broad face of the ocean every one of those mountains, above which atoUs now stand Uke monuments, marking the place of thefr former existence. Eeflecting how powerful an agent, with respect to denudation, and consequently to the nature and thickness of the deposits in accumulation, the sea must ever be, when acting for prolonged periods on the land, during either its slow emergence or subsidence ; refiecting, also, on the final efi'ects of these movements in the interchange of land and ocean- water, on the cUmate of the Earth, and on the distribution of organic beings, it may be fairly assumed, that the conclusions derived from the study of coral formations are amongst the moat important that can be presented to the conaideration of the phyaical geographer.* • Darwin On Coral Beefs, p. 148. 284 CHAPTER VIII. STEUCTURAL PHENOMENA OF THE EAETH INDICATING IGNEOUS ACTION. 5 105. Nature of igneous rocks in general. — 106. Extinct volcanic regions. — 107. Antient lava currents and other products of extinct volcanoes. — 108. Other igneous rocks not volcamc. — 109. Metamorphism. — IIO. Dykes and mineral veina. ^ATUBE of Igneous Bocks in General. — The igneous phenomena and thefr results, so far as we have yet considered them, are hmited to -the Earth's surface, and give little or no insight into the actual structure of any portion of that auperficial crust which it is the object of geologists to understand and deacribe. Thus, we have aeen that volcanoes, although of great interest and importance in the general economy of nature, are too few in number, and occupy too smaU an area, to affect the whole area of land to any considerable extent, and though, no doubt, those elevations and depres sions that we have discussed, and which are connected vrith volcanic action, are of vast effect in their general result, when continued for a sufficient time, yet even these, in the short space of human history, must have been totally insignificant in modifying the general surface. But we muat now carry our investigations somewhat farther, and we shaU soon discover that whUe igneous action is not confined to one district or one period at present, but affects various points of very vride tracts, and lasta often in the same fract for an apparently mdefinite period, there are many other parte of the Earth where, beneath the surface and in the rocka that are offered for inveatigation, proof may be obtained of igneoua action, either dfrectly or indfrectly, andthe usual reaulta may therefore be looked for in the way of former elevation and depression, as weU as additional results derived from the disturbance of material in a hardened state by violent mechanical force. In the present chapter we may consider with advantage these pointe, and thus obtain an insight into one very important department of geology, strictiy so caUed — namely, that of mechanical rocks not left in thefr original condition of mechanical apposition, but altered by the action of heat or chemical forcea ; and of other rocks which offer no appearance whatever of mechanical origin, but, on the confrary, seem to have formed part of the original skeleton and framework of the globe, presenting themaelvea in the cenfral axes of moun tain chains, or in the long-exposed and weathered surface of granitic bosses, or roUed blocks broken from the parent rock and transported to a distance. The various cfrcumstancea under which such rocks are presented — ^the evidence of igneous activity at very early periods of the Earth's history, as well as at more recent, but stiU distant times — the steuctural pecuUarities of Tarious igneous rocks, and the structural changes produced by them — ^these, together with the phenomena of segregation, and the coUecting of various substances into veins and fissures, whence they may be extracted for the use of man, wUl, when explained, enable the student to comprehend something of the condition of a portion of the Earth, and form fit subject-matter for careful study. io6 Extinct Volcanic Begions. — As at present there are certain Unes and smaU areas of volcanic activity, connected with which can be teaced a consi derable amount of elevation on the Earth's siu-face, so may we find in many places abundant proof of ancient volcanic agency in heaps of ashes, volcamc EXTINCT VOLCANIC REGIONS. 285 cones and craters, and beds of lava, the burnt-out Ifres of former times, and the result of eruptions and attendant elevations of which little or no other record is preserved. Appearances of this kind are not limited to such distinct marks of subter ranean fires as we have mentioned, nor must we expect that eruptions that have been succeeded by the frequent denuding action of marine currents can be aa manifest and as easUy made out as where a ririd flame, a column of smoke, or a current of molten rock, speak to the senses in a language that cannot be questioned. But we need not feel leas certain of the former existence of volcanic action in a spot becauae, at present, there are no eruptions, provided we can discover true erupted products, auch aa ashes and lava ; and it ia well known these are occasionaUy seen where there are abaolutely no indications whatever of igneous disturbance at the surface, although, in other caaes, the form of ancient volcanoes is partly preserved in the hUls of the district in spite ofthe time that has elipsed smce the period of activity. There may, however, be distinct conditions of igneous rocks where there is no evidence of volcanic disturbance, and it is necessary to consider the extent and value of the various phenomena in each case. The principal and best knowm points at which volcanic eruptiona have taken place on the continent of Europe, aince the commencement of the tertiary period, from volcanoea which have now become totaUy extinct, are in the vaUey of the Ehine, between Bonn and Mayence ; in the depart ment of Puy de Dome, in Central France ; and on the north-east coast of Spain, at Olot, in Catalonia. AU these have been perfectly quiet, and free from the diaturbancea of volcanic action, during, and probably long before, the exiatence of man upon the Earth, but aU of them exhibit, with the utmoat diatinctness, series of volcanic phenomena exactly resembling those which are described as characterizing Etaia and Vesurius in modem times. One vol canic district of the Ehine extends for about twenty -four mUes from east to weat, and from six to ten mUes from north to aouth. The volcanic cones have here been forced up through schistose and micaceous beds of the middle and older Palaeozoic periods, and the trachytic lava and basalt have been poured out around the base of the hUls, often extending to considerable distances, vrithout much reference to the present configuration of the country. A number of ancient craters, some of which are now lakes, may be observed at different points on each bank of the Bhine, but the waUs of these craters are usuaUy made up of cinders and scoriae, and the deep indentions and fractures ot the waUa often ahow the points whence a lava current must once have isaued. On the whole, however, the lava aeems to have been chiefly erupted through cracks and fissures in the subjacent rocks, and to have been spread evemy over the surface, often in very thin bands. By far the moat important feature of the volcanic diafrict of the Ehine, though not that which presents itself most prominently to the paaaing risitor, is the great extent of the basaltic platform, partly in the Duchy of Nassau, and extending on the right bank of the ilbine, but reaching stiU further to the east, and forming the hUls called the Vogels Gebfrge. In the former district, indeed, the basalt is covered up in many places 'by a remarkable bed of hgnite, or brown coal — but not less than 1000 aquare mUes of countey in the neighbourhood of the Ehine have been in former ages overwhelmed by a flood of lava, probably spread out beneath the watera of an inland lake long since dried up. The thickness of the bed is not generaUy considerable. A district in Central France — in former times the seat of subterraneous disturbance — ^repoaea, or, rather, riaea out of a granitic platform : the Mont d^Or, the moat conspicuous of the volcanic cones, rising suddenly to the height of aeveral thousand feet, and being composed of layers of scoriae, pumice-atones, and fine deteitus, with interposed beds of basalt. A consider able number of minor volcanoea form an frregular ridge on the platform, and extend for about eighteen mUes in length, and two in breadth. They are usuaUy truncated at the summit, where the crater is often preserved entfre. 286 PHYSICAL GEOGRAPHY. the lava having issued from the base of the hill ; and the lavas may often be traced from the crater to the neareat vaUey, where they uaurp the channel of the river, which in aome caaes haa aince excavated a deep ra-rine through the baaalt. In Catalonia, tbe eruptions have burst entirely through secondary rocks, and the distinct cones and craters are about fourteen in number, but there are, besides, several points whence lava may have issued. The volcanoes are most of them very entire, and the largeat has a crater 455 feet deep, and about a mUe in cfrcumference. The currents of lava are, as usual, of consi derable depth in the narrow defiles, but spread out into thin sheets over the plains ; the upper part is sooriaceous, further down it is less porous, and at the bottom it becomes prismatic basalt, about five feet thick, resting on the subjacent secondary rooks. In addition to these, many other parts of Europe, especiaUy in Bohemia, Moraria, and Hungary, exhibit remarkable and exteemely interesting examples of extinct volcanoes. Some of these are weU known for the hot springs which rise out of the ground in the vicinity, or the hUla of volcanic OToducts which characterise the landscape, and of thia kind are Carlsbad and TopUtz. Others are near existing volcanoes, but have stiU aU the peculiarities of those which are extinct, and amongst this latter kind are numerous instances in the Greek Archipelago. It appears from the investigations of various fraveUers that the westem part of Asia and the peninsula of India exhibit the phenomena of recently extinct volcanic action on a scale far grander than is known in Europe, for in these countries the lava has been poured out over an area of many thouaand square mUes, and resta in flat tubular maases upon the country. The volcanoes of Asia Minor are stUl in a state of disquiet, and the elevation of the chain of the Caucasus has doubtless been continued to within a very recent period ; while so closely does the past approach the present in this part of the world and in America, that it is often difficult to decide to which period many of the phenomena must be referred, and it has happened even in Europe, that volcanoes, supposed to be extinct, have once more burst forth, and apparently with tenfold violence, after a long period of repose. The coast of Antrim, presenting the magnificent basaltic columns of the Giant's Causeway, and an important adjacent district in Scotland as weU aa Ireland, have long been celebrated as exhibiting very remark able instances of the protrusion of large quantitiea of molten rock in former times. In the part of Ireland aUuded to, there are many hundred square mUes of countey, extending from the neighbourhood of BeUast to Coleraine, in which a considerable series of rocka of the secondary period, terminating vrith the chalk, have been covered in this way. On the coast, especially towards the north, the basalt is seen capping the chalk, which is usuaUy much altered and hardened into limestone, and the flints are reddened as if burnt near the contact. In other places, clayey or shaley beds are changed into hard siUceous rock, and sometimes in£cate crystaUine structure ; whUe in others, again, as at BenEvenagh and elsewhere, the basalt assumes a character of extreme grandeur, and successive stages of ponderous and shapeless masses rise to the base of the steep basaltic summit, and there break into pinnacles and precipitous cliffs. But in the interior of the counfry, the protruded rock, although present, sinks to a low level, and along the western shores of Lough Neagh and Lough Beg is so much con cealed as to appear only in isolated lumps or smaU ridges, riaing here and there above the surface. In many places, indeed, it is erident that the softer parts of the rock have been carried away, and that the whole of the detached portions were formerly continuoua ; and this ia not to be wondered at, when we consider that the mineral composition and relative hardness is very variable, and that the whole diatrict haa been exposed to dUurial action. and to the denuding force of running water. It is not easy to account for the occurrence of these large masaea of igneous rock in the north-east of Ireland, or to connect them with any focua or cenfre of eruption. They have probably been forced through wide cracks formed in the subjacent strata, and thua belong to the claaa of phenomena sonietimes considered separately ANCIENT LAVA CURRENTS. 287 from the tabular basalt, and denominated trap veins and dykea. But how ever thia may be, aU the teue characters of lava are apparent in the rock under consideration, and aU the strata discovered in contact with the basalt have been altered by this foreign rock introduced among them. Phenomena almost exactly simUar are seen in the Island of Staffa and in some others of the western islands of Scotland, and the picturesque beauty of Fingal's Cave and the Giant's Causeway has been too often described to render any account of them necessary in this place.* 107 Ancient Lava-Currents. — It has been proved by the experiments of Mr. Gregory Watta,t that the rock apoken of in the preceding page as basalt, is in point of fact, nothing more than lava of ancient date, and although in England baaalt and basaltic rocks are conflned to certain parts ofthe countey, and to rocks of certain geological designation, they are found elsewhere more generally diffused. Basalt occurs in the older rocks in two conditiona, which may be aeparately considered — namely, 1st, in the condition of an overlying maas, or of beda alternating vrith the regular strata ; and 2nd, as dykes, traversing stratified and other rocka, and filUng up cracks and fissures. In this latter state it often forms the connecting link between the tabular masses and some great subterranean reservoir, although in other cases it does not rise above the surface of the rocks which it peneteates. Its mineral constituents are essentiaUy the same as those of modern lava, but occasionally hornblende predominates, when, from the pecuUar colour of that mineral, the name of freenstone is appUed to the variety. The most usual characters of the asaltic rocks of England are — (1) their iron-grey colour, approaching to black ; (2) thefr frequent tenacity and hardness (whence their value in making roads) ; and (3) a sharp and sometimes conchoidal fracture, and a granular aspect, indicating the commencement of crystaUiae structure. They are very liable to superficial decomposition, in which case the colour changes to a rusty brown, owing to the oxidation of the contained fron, and the decomposition sometimes peneteates a considerable depth into the mass of the rocks, exhi biting spheroidal masses less decomposable than the reat of the rock. There are aeveral beda and overlying maaaes of trap among the carboniferous rocka of England, very many othera wiiich have only penetrated the Silurian rocka, and which, therefore, must have been erupted anterior to the decompoaition of the . Newer Palseozoic steata. It wiU be sufficient to aUude shortly to the principal instances, in order to give a general idea of the nature of these rooks of intrusion in our own country. Baaalt occura in overlying masses in many parts of thenorthof England; eminencesof thiskindhaveoftenbeenchosenfortbesites of feudal castles, and at Bamborough, where one of these castles was buOt, the thickness of the mass has been ascertained, by boring for water, to be seventy- five feet. A remarkable instance of overlying basalt may be observed forming a group of hUls near the town of Dudley, m Staffordshfre. The rock here has received the name of Eowleyrag,J from the vUlage of Eowley, situated on one of the highest of the basaltic hUls. It is extremely hard and of coarse texture, and has been used for paving the steeets of Birmingham; a similar rock is found at a distance, forming the upper part ef the lofty hUls of Titteratone Clee and Brown Clee, in Shropahfre. The trap in these places distinctly repoaes on the coal measures, and where it comea in contact witb the coal haa greatly injured ita quaUty, and reduced it to a aooty state. The toadstone of IDerbyshire ia a well known rock, apparently interstratified with the rocka of the Carboniferous period in that county, and it offera a very striking example of bedded trap. This toadstone, wbich had generally been described aa repeated in three distinct beds, has been supposed by Mr. Hopkins to be the effect of only one, or, at the most, two eruptions of melted * Ansted's Geology, vol. ii. pp. 208 — 213. t Trans. Boy. Soc. for 1804, p. 279. t It was a mass of this rock which formed the subject of Mr. G. Watts' experiments, already described. 288 PHYSICAL GEOGRAPHY. rock, and he has endeavoured to show that the several beds, apparently distinct, merely consist of the original one repeated in different parta of the district by faults. The abundance and accuracy of the detaUed information offered in support of this view render it difficult to doubt that the con cluaion ia correct. The determination of this point is of much importance in a country so valuable for its mineral resources, and the more so, becauae the identification of the limeatonea and associated lead veins depends on the position of the interstratified volcanic rock.* Basaltic dykea of very conaiderable extent fraverse the carboniferous limestone in many parts of the north of England, some of them being as much as from thirty to forty feet in width. Theae dykes are either vertical or very highly incUned, and the baaalt of which they are fonned is of a greeniah-black colour and coarae texture. Sufficient evidence is sup poaed to exist of their igneous origin, and ofthe rock having been injected m a melted state, by the altered appearance of the wall of the dyke; for the adjacent coal, in one example, at Walker, in the Newcastle coal-field, ia actually converted into coke, which, on one side, was found to be in some placea thfrteen feet thick, and on the oppoaite side upwarda of nine feet.t But thia fact of the coal being completely charred and tumed into coke ia common throughout the disfrict, whenever a basaltic vein fraveraea coal- bearing strata.J The rocks of volcanic origin, which are most conmionly aaaociated vrith baaalt, are those caUed trachytic, or trachyte, from then- rough feel when rubbed between the fingers. Trachyte is sometimes con sidered to bear the aame relation to granite that lava does to the ancient basalts, and is compoaed chiefiy of felspar, combined frequently with a con siderable proportion of ailex. It abounds in the volcanic diatrict of the Ehine, and there forma a kind of imperfect buUding stone, and it is also common in varioua forms in the Puy de Dome, where it appeara under very simUar cfrcumstances. Besides the ordinary form of frachyte as a volcanic rook, it appears yet more frequently in pulverulent masses of pumice, forming what is called tuff or tufa, which has been found in rocks of aU ages, interstratified vrith fossuiferous beda, but itaelf rarely containing organic remaina. The preaence of this tufa invariably marks the vicinity of igneous and erupted rocks, and in this way it is often useful to the geologist, more especiaUy in the older formations.§ It has frequently been attempted, more * At Teesdale, in Yorkshire, and elsewhere in the north of England, there are instances of highly picturesque scenery owing to the presence of basaltic rocks in various crystalline cou ditions. In these cases, the associated limestones are usually altered and converted into marble. t Conybeare and Phillips' Geology of England and Wales, p. 447. It may be observed here that this evidence, though very plausible, is by no means free firom otgection, and the change observed may possibly be independent of the heat of the basalt. X A still more remarkable instance than that in the text, of the alteration effected in the neighbourhood of a trap-dyke, is related in the Transactions ofthe Northumberland Natural History Society, vol. ii. p. 343. An account is there given of the greenstone dyke on Cockfield Fell, and its eflfects on the coal strata in one of the collieries of the great north-eastern coal-field. In working the coal towards this dyke, the change was observable at a distance of flfty yards, the coal becoming dull, and losing its quality for producing flame. Nearer the dyke, it has the appearance of half-burnt cinder, and still nearer, consisted of sooty matter, caked together, while close to the dyke the bed was reduced in thickness from six feet to nine inches. Thia dyke is nearly vertical ; it has been traced abont seventy miles from south-east to north-west, and is in some places eighteen yards In width ; and it is calculated to have spoiled as much as 100 yards of coal along all that part of the seam traversed by the dyke throughout Cockfield Fell. The observation made in the previous note will also apply here. § The pumice of commerce can hardly be regarded as a distinct mineral, as It is only a cellular and filamentous state which several volcanic rocks (chiefly trachytes) are capable of assuming. It is not met with in all volcanic districts, and seems to be erupted only under peculiar circumstances. Vast quantities have heen quarried at the foot of Cotopaxi, one of the celebrated volcanoes of the Andes, and it there occurs in beds distinctly stratified, and is often associated with obsidian. The principal localities in Europe in which it abounds are the Wpari Islands, and some of the islands in the Grecian Archipelago, Iceland, and the extinct volcaio of the Rhine. It is also found iu Tenerifl'e, and in some of the volcanic islands of the eastern Archipelago. GRANITIC ROCKS. 289 especially by the continental geologists, to class the various rocks of igneous origin with reference to thefr predominant minerals, but these arrangements have never attained any very general acceptance in our own country. There appear to be two series — those in which felspar or hornblende respectively abound — in rocks of each geological period, and these in thefr most charac teristic forms of granite or trachyte, and basalt or lava, are sufficiently distinct, but they pass insensibly into one another by innumerable variations, which demonstrate the simUarity of origin of aU the unsteatified rocks. It may, therefore, be conaidered, on the whole, that the occurrence of teappean rocks is a geological event belonging to all successive periods, and affecting aU rocks whether stratified or not, but it is also evident, that while no rocks bear more steictly the marks of igneous origin than those caUed basaltic, even they are sometimes so distinctly stratified aa to have formed thin layera alternating with fosaUiferoua ateata of aqueoua origin and probably erupted from volcanic venta opening at the bottom of the ocean, as we have reaaon to beUeve atiU happens occaaionaUy. There is, therefore, in these phenomena — ^which, it muat be repeated, connect the rocks of known igneoua origin, such as are stUl from time to time erupted, with the most ancient of those rocks supposed to be plutonic — a still farther and more intereating point rendered clear, the change being even indicated by which the regularly stratified foaaUiferoua rocks pass first of aU into metamorphic, and then into diatinctly igneoua formationa. Theae facta vrith regard to ancient lava currents, erupted at various times and under various cfrcumstances, afford ample proof that volcanic agency, or some veiy nearly aUied force, has acted even during the formation of the lower, and therefore older, of those mechanicaUy formed rocka met vrith in almoat aU parts of the Earth's surface. We muat, however, now consider other appearancea presented, in whioh igneous action appears clear, though not in the form exhibited in either modern .or ancient volcanic vents. io8 Other Igneous Bocks not Volcanic. — ^A very large portion of the underlying rocks in many parts of the world, and almost aU the highest peaks of the principal mountain ranges, are compoaed of rocka of which granite is the type, and which aeem to have been upheaved from considerable depths, bearing with them in most cases masses of sfrata originaUy deposited horizontaUy upon them, but in the course of elevation cracked and broken, or otherwise altered, according to the nature of the elevating force and the mechanical condition of the beds themselves. These rocks are apparently igneous, but whether they were ever in actual fuaion or not, thefr particlea are now ao arranged as to exhibit clearly the action of crystalline forces, and the rocks associated and lifted are not unfrequently penetrated by the granite or crystaUine masses, or otherwise affected by them. The effects thus pro duced are not attributed to ordinary volcanic action, for they are on too large a scale, and too Uttle identical, to bear strict comparison with any reaulte of auch action at preaent. They are, however, not unUke when fafrly considered, and afford most useful material for such limited comparison as the caae reaUy warranta. The granitic rocks are very widely spread over the earth, and in moat cases they form the underlying portion, with reference to any sedimentary rocks that may appear. This might be proof either of thefr being the most ancient, or the newest formed rocks, for if the former, they must occupy as they do the lowest poaition, and if the latter, they may have existed in another form for an indefinite period, although only recently placed in a state to affect or upheave other rock's. It is, however, certain, that they reaUy are of various periods, and although from thefr extensive range oflen regarded as the foundation and soUd framework of the Earth, they are possibly in the very act of formation far beneath the surface, even at the present day. Granitic rocks, although by no means always of the same general character, exhibit features which leave no doubt as to their nature, and may U 290 PHYSICAL GEOGRAPHY. be found in several locahties in each of the British Islands. Granite also occurs abundantly in other parts of Europe, as in the Scandinarian moun tains, the Hartz, the range of mountains separating North Germany from Bavaria and Bohemia, the Alps both of Switzerland and the Tyrol, the Pyrenees and the Carpathians. In Asia it forms the cenfre of the Caucasus ; it occupies a large part of the Himalayan, Uralian, and Altai mountains, and ia found alao in Siberia. In Africa it appeara in Upper Egypt, in the Atlas' mountains, and at the Cape of Good Hope : it may also be traced along the western part of the whole of the two Americas ; and appears again in the islands of the South Pacific, and in AustraUa. But granite is only one form of igneous rock, and many others, some having the same general porphyritic character (crystals embedded in a base), are found in various parts of the earth, either alone or in near association vrith true granite (quartz, felspar, and mica). Such rocks, under various names, have often been described in distinct groups as pecuUar crystaUine or chemical products, but many of the pecuUaritiea they present, are probably rather owing to a difference in the rate of cooUng of a large masa, than to any original characteriatic. Thus, according to the rate of cooling, we inight have a large or fine grained granite, or a nearly compact rock : or if the quantity of felspar was very great, and the cooUng rightly proportioned, the mica and quartz might be crystallized in a compact earthy or glaaayuncryatal- Uzed baaia. In thia way a felspar porphyry might be produced from the aame ingredients as ordinary granite, and the various greenstone, hypersthenic, hornblendic, and other mixtures, do not requfre detaUed deacriptions in a general account of igneous rocks. Of the granite and simUar rocks presented in the British Islands, some portions in Scotland (Isle of Skye), ComwaU, Cumberland, and elsewhere, have not only forced up other rooks, but have also penefrated the fissures made in them during elevation. This seema to prove two important points — ^namely, that at least in these caaea, the granite waa more modern than the adjacent and overlying masses, and also was ejected in a soft or nearly fiuid state. Granite veins or dykes, fUling up crevices, are indeed by no means rare phenomena, although they had not tUl a recent period attracted fnU and complete attention. The chief field for oliservation of igneous rocks vrithin the British Islands is in Scotland, where almost every variety ia represented. The Grampian and other mountain ranges are entirely composed of granite, and in the adjacent islands it is repeated in aU its characteristic featurea. In Cumber land and North Wales, felspar porphyries take the place of granite to a great extent, and alternate vrith it. In CornwaU, granite re-appears in large quantity and throws off numerous veina. In the Malvern bills, and those of Charnwood Forest, in Leicestershfre, Syenite prevaUs, whUe hypersthene rock frequently appeara, and sometimes, as at CuchuUin and Carrock FeU, forma pinnacled mountains. The rock caUed clayatone, and clayatone porphyry, and varioua amygdaloidal rocks, also present themselves, varying and com- pUcating the phenomena. Thus do theae igneoua rocka present themselves at or near the general surface, in many important districts, and ofler for the inveatigation of the naturalist many striking facts. The varioua rock«, abruptly riaing and exposed at the surface, are often split by deep paraUel fissm-cs, sometimes formed into largo fiattened globes, which put on also a columnar appearance — and some times wom into mounds, scaling off in layers at the surface. The same rocks, different only by the circumstances of their formation, are elsewhere spUt into blocks, which might at first appear roUed or transported from a distance, but which are really only the results of a pecuUar decomposition. AU these and many other appearances have been described as, at some times and in some places, characteristic of this group of rock masaea, which have indeed little in common either in material or order of arrangement of the material. It ia important also, to remark in conclusion, that the mineralogical ¦Jii .J J. , METAMORPHIC ROCKS. 291 and other peculiarities are whoUy independent of age or position, for we find in oppoaite hemispheres in totaUy different climates, and under circumstances perfectly distinct, the same general aspect and the repetition even in minute detaU of many common igneous rocks. 109 Metamorphism. — The erupted rocks, whether granitic or basaltic, not only act dynamicaUy, shaking, elevating, incUning, and lateraUy displacing the superincumbent beds, but also modify the chemical combinations of thefr elements, and the nature of their internal structure ; thus forming new rocks. These under the names of gneiss, mica slate, clay slate, granular limestone or marble, and quartz rock, are often very extensive, and are denominated metamorphic. The theory of metamoi-phiam is now estabhshed with reference to a great variety of rocks, and the nature and amount of change are fully recognised. Observationa made vrith great care, and over conaiderable tracts of country, show that erupted rocks have acted in a regular and ayatematic manner, ii parta of the globe most distant from each other, granite, baaalt, and diorite are seen to have exerted, even in the minutest; detaUs, a perfectly simUar metamorphic action on the argillaceous schists, the compact limestone, and the grains of quartz in sandstone. But whUst the same kind of erupted rock exercises almost everywhere the same kind of action, the different rocks belonging to this claas present in this respect very different characters. The effecte of intense heat are indeed apparent in aU the phenomena ; but the degree of fluidity has varied greatly in aU of them, from the granite to the basalt ; and at different geological epochs, eruptions of granite, basalt, green stone, porphyry, and serpentine, have been accompanied by the issue of different substances in a state of vapour. According to the views of modern geology, the metamorphism of rocks is not confined to actual change effected at the contact of two kinds of rock ; but it comprehends all the phenomena that have accompanied the issuing forth of a particular erupted mass ; and even where there has been no immediate contact, the mere proximity of such a mass has frequently sufficed to produce modifications in the cohesion ofthe particlea, in the texture of the rook, in the proportions ofthe sUicious ingredients, and in the forms of crystalUzation of the pre-existing rocks. All eruptive rocks peneteate as veins into sedimentary steata, or into other previously existing endogenous* masses ; but there is an essential difference in this respect between plutonic rocks — granites, porphyries, and serpentines — and those called volcanic in the most restricted sense — teachytes, basalts, and lavas. The rocks produced by the stUl existing volcanic actirity present themselves in narrow steeams, and do not form beds of any considerable breadth, except where several meet together and unite in the aame baain. Where it haa been possible to trace basaltic eruptiona to great deptha, they have alwaya been found to terminate in slender threada, examples of which may be seen in three placea in Germany, — near Markauhl, eight mUes from Eiaenach, — near Eschwege, on the banks of the Werra, — and at the Druidical stone on the HoUert road (Siegen). In these oases, the baaalt, injected through narrow orifices, has traversed the bunter sandstone and greywacke slate, and has spread itself out, in the form of a cup ; sometimes forming groups of columns, and sometimes divided into thin laminae. This, however, is not the case vrith granite, syenite, porphjo-itio quartz, serpentine, and the whole series of unstratified rocks, to which, by a predUection for mythological nomenclature, the term plutonic haa been applied. With the exception of occasional veins, aU these rocks have been forced up in a semi-fluid or pasty condition, through large fissures and wide gorges, instead of gushing in a ' This term has been used by Humboldt to designate all rocks formed or modified from within, and therefore, not owing their essential characteristics to mere mechanical action. It includes tbe igneous and metamorphic rocks of other authors. u2 292 PHYSICAL GEOGRAPHY. liquid stream from smaU orifices ; and they are never found in narrow streams like lava, but in extensive masses. Some groups of dolerites and frachytes show traces of a degree of fluidity reaembUng that of baaalt ; othera, forming vaat craterless domes, appear to have been elevated in a simply aoftened state; others again, Uke the trachytes of the Andes, in which Humboldt atates that he haa often remarked a atriking analogy to the greenatone and syenitic porphyries (argentiferous without quartz) are found in beds like granite and quartzose porphyry. Dfrect experiments on the alterations which the texture and chemical constitution of rocks undergo, from the action of heat, have shotm that volcanic masses (diorite, augitic porphyry, basalt, and the lava of Etna) give different products according to the preasures under which they are melted, and the rate at wbich they are cooled ; if the cooling has been rapid, they form a black glaaa, homogeneous in the fracture; if slow, a stony mass of granular and crystaUine structure, and in this latter case crystals are formed in carities, and even in the body of the maas in which they are imbedded. The same materials also yield products very dissimilar in appearance, a fact of the highest importance in the study of eruptive rocks, and the teansformationa whioh they occasion ; since, for example, carbonate of lime, melted under high pressure, does not part vrith its carbonic acid, but becomea when cooler granular limeatone or aaccharoidal marble when the operation is performed by the dry method ; whUe in the humid process, calcareous apar ia produced with a leaa, and arragonite with a greater degree of heat. The mode of aggre gation of the particlea which unite in the act of crystallization, and conse quently the form of the crystal itself, are also modified by differences of temperature ; and even when the body has not been in a atete of fluidity, the particles, under particular cfrcumstances, may undergo a new arrangement manifested by different optical properties. The phenomena preaented by deriteification, — by the production of steel by casting or cementetion, — ^by the pasaage from the fibrous to the granular texture of fron, occasioned by increased temperature and poaaibly by the influence of the long-continued repetition of slight concussions, — may elucidate the geological study of metamorphism. Heat sometimea eUcits opposite effects in crystaUine bodies ; for MitecherUch's beautiful experiments have eatabliahed the fact, that without altering its condition of aggregation, calcareous spar, under certain conditiona of tempe rature, expands in one of ita axial dfrectiona whUe it confraete in the other. Passing from these general considerationa to particular examplea, we may mention the case of schist converted by the vicinity of plutonic rocks into roofing slate of a dark blue colour and gUstening appearance ; the planes of stratification are intersected by other dirisional planes, often almost at right angles with those of stratification, indicating an action posterior to the alteration of the schist, the latter sometimes containing carbon, and then perhaps capable of producing galvanic phenomena. Sometimes the contact and plutonic action of granite have rendered argillaceous schists granular, and transformed the rock into a masa reaembUng granite itself, consisting of a mixture of felspar and mica, in which laminae of mica are found embedded. We are told by Leopold von Buch, that aU the gneiss between the Icy Sea and the Gulf of Finland has been produced by Tnetamorphic action of granite upon the sUurian strate. In the Alps, near ihe St. Gothard, calcareoua marl haa been similarly changed by the influence of granite, firat into mica slate, and subsequentiy into gneiss. Similar phenomena of gneiss and mica slate, formed under the influence of granite, present themselves in the ooUtic group ofthe Tarantaise, in which belemnitea are formed in rocks which have afready in great measure assumed the character of mica slate.* Eemarkable inatances of metamorphism have been pointed out in the » Humboldt's Cosmos, Sabine, p. 246—360. MINERAL VEINS. 293 Tyrol, especiaUy on the Italian side, where limestone is altered by means of fissures traversing it in every direction, the intervala and cavities being fllled -with crystals of magnesia, and the original stratification completely obUterated. Othera, not less remarkable, are found alao in the cliff on the coaat of CornwaU, and in many of the western islanda of Scotland. IIO Dykes and Mineral Veins. — One of the resulta of the intruaion of igneoua rock, and the consequent change effected in the molecular condition of the rock, ia the production of crevicea and fissures, which may either have arisen from the absolute elevation and consequent disruption of the mass, or from confraction, owing to the drying or heating of the mass. Generally such crevices wUl be in two principal dfrections, the one identical with that ofthe axis of disturbance, and the other at right angles to that axis — the former wiU be the longer and more uniform series, but wUl often include paraUel fissures at intervals — the other -wUl be shorter and more irregular, and perhaps chiefly observable at intervals where there seem to have been points of more abrupt violence. It may be considered also highly probable, that since we find two kinds of fissures, one of considerable width at and near the surface, but becoming narrower in descending, whUe the other continues of nearly equal width to considerable depths, these two kinds are not unfrequently due to different causes, the gaping cracks frequently identical vrith faulte and dislocations of the steata resulting from upheaval, whUe the more even and regular crericea are coimected with deeper-seated disturbances or the gradual contraction of very large masses. It is convenient to have two names to apply to phenomena which often present themselves in such different manners. The broad cracks, aub- sequently fiUed up with matter thrown up from below, or overfiowing and so mnning in, we may call dykes ; whUe the narrower crerices, which, though also fiUed with varioua minerala, present them in a different way, are caUed veins. Examples ofthe former, fiUed with basalt or injected rock, have been mentioned in a preceding section, (see p. 288,) and we have now to conaider the latter, which are of great practical importance, aa containing not only cryataUine earthy minerala, but a large proportion of the most valuable of those ores from which the metals are obtained. The mineral aubatances contained in these veins are of two kinds ; the one being generaUy either sUex, fiuor-spar, or carbonate of Ume, aU earthy minerals, and generaUy in a crystalline state, the other consisting of metaUic oxides and salts, in greater or less abundance. The latter being the valuable produce of veins, are eagerly sought for and worked : but the othera, not exhibiting any trace of metallic ore, possess Uttle economic value. Two classes of veins there fore exist, which are found to diff'er from each other in various respects, and amongst the rest in compass-bearing and in thefr incUnation to the horizon. It appears at first, that nothing can be more variable and unaccountable than the relation of the metaUic ores in a mineral vein to the cfrcumstances of position of the vein, but in spite of this, there reaUy exists a certain amount of order, and an approach to regularity. In all districts traversed by mineral veins, there are, for instance, what may be caUed systems of veina, each syatem being characterized by some pecuUarities of position or contents, and each, so far as we can judge, referrible to a diatinct period. In CornwaU, there have been deacribed eight auch ayatems, and the same number had been observed by Werner, at Freyberg. In the former district, three of the systems run east and west, and one north and south, whUe another ranges N.W\ and S.E., or N.E. and S.W. Of these, the eaat and west veins are caUed right-rumning, becauae they include moat of thoae which are productive for tin and copper, (the staple minerals of the district,) whUe the north and south are caUed cross-courses, crossing the first at right angles, and being also productive, but chiefiy for lead and fron. The others are caUed contra lodes, and are few in number. The remaining three classes are also unimportant to the miner, and are usuaUy fiUed with clay. The systems of veins in the Freyberg districts are described by Werner, 294 PHYSICAL GEOGRAPHY. and offer a series of facts somewhat analogous to those observed in Cornwall ; but the metals are different, and so also are the prevaUing dfrections ofthe lodes. The first and most ancient are chiefly north and south, and include those veins from which the chief suppUes of lead and sUver have been obtained. The second aystem (contra lodes) are more argentiferous, but much thinner. Thefr dfrection is about north-east and south-west. The veins of the thfrd are aU north and south, and those of the fourth are at right angles to them, being what are called in CornwaU cross-courses. They both contain lead glance. The others are less important. In the EngUsh lead districts, the systems of veins are much more simple than in CornwaU or Saxony ; the dfrection of the productive veins is, almoat without exception, east and west, and they are traversed by cross-courses, not productive, at right anglea to them. The underlie ia seldom considerable, and it is tolerably uniform throughout the district. On the whole, and viewed with reference to the whole disfrict, the dfrection of the productive veins in ComwaU must be regarded as strikingly uniform, and the mean of nearly three hundred observations, recorded by Mr. Henwood, gives 4° S. of W., whUe the actual dfrection, in nearly two-thfrds of the number, differs but Uttle from the average.* Lastly, the fact of these veins being fiUed with various foreign substances, often placed one upon another, in regular order, and repeating nearly the aame appearances, under simUar cfrcumstancea, in the aame mining diatrict, ia an important proof that they muat be referred to some vridely acting, if not universal, cause, if we wish to account for them in any rational maimer. Electricity, especiaUy in those two important forms, galvanism and magnetiam, offers the best and the most satisfactory explanation ofthe greatest number of the phenomena. The constant action of a force so influential in re-arranging the ultimate elementary atoms of bodies, and causing them to enter into new combinations, cannot faU to produce great changes when acting under favour able cfrcumstances and for a long time. No doubt, however, tiiere have been many causes, proximate, if not dfrect and primary, which have aU acted separately as weU as jointly, and these may have operated at different periods, each tending to bring about results for which it waa beat adapted, and aU together assisting in comphcating the chain of phenomena now offered for investigation. Mineral veins are very frequently faults or the result of the displacement of rocks, as weU as simple crevices produced by confraction or separation in consequence of upheaval. In both cases they are sometimes fiUed vrith aofl; clay ; aometimes the waUa of the vein are lined vrith such clay, and sometimes the interior or contents of the vein are diatinctly and at once separated from the walla without the intervention of any clay or other substance. Veins vary exceedingly in dimensions, from less than an inch in breadth to many hundred yards, and from a length acarcely appreciable to many mUes. They traverse aU kinds of rocks, but are greatiy affected by the kind of material through which they pass. They often cross each other, and are moved in position, the newer vein altering and heaving the older, and thefr contents are greatly modified by aU the mechanical changes to which they are exposed. The metaUiferous ores contained in veins are very numerous, greatiy varied, and highly important, as from them are derived the chief suppUes of metals used m the arts. Many of the metals, as gold and platinum, are found only in a native state, or aUoyed with other metals ; others, as sflver, * See Ansted's G«o!(ig-2/, vol. il. p. 266. Tho actual numberof observations tabulated was 295; ofthis number the direction in 182 instances was between west and south-west, and in 62 others between west and north-west. Dividing Cornwall into ten districts, the mean direction of the veins in seven of the districts is rauch more south of west than the general mean, as the other three districts chiefly contain tho contra lodes. METALLIFEROUS DISTRICTS. 295 copper, mercury, arsenic, bismuth, &c., are found occasionaUy pure or alloyed, and m the metaUic state, but more frequently as metaUic oxides, or mixed with other ingredients, and in an earthy state. Very common ores of copper, tin, fron and manganese, are the oxides of those metals; other ores, also very common, of copper, lead, sUver, zinc, antimony, arsenic, &c., are com binations ofthe metals with sulphur (sulphurets), and others again with carbon and oxygen (carbonates) ; wliUe some metals, such as cobalt, nickel, chromium, &c., are almoat invariably found with other metals, such as arsenic and iron. With the common ores are mingled generaUy smaUer quantities of other metaUic salta and oxidea, from which the numerous varieties presented in tho mineral kingdom are derived. The metaUiferous districta of the Britiah islands are cbiefly confined to the western and northern parts of England and Scotland, and the eastern part of Ireland. CornwaU alone fumishes the whole of the tin and seven- eighths of the copper obtained, the reat of the copper being from Walea ; large quantitiea of lead are obtained from Durham and Northumberland, Cumberland, Yorkshfre, and Derbyshfre, although CornwaU, Wales, and Scotland also contribute no unimportant quantity. Large quantitiea of zinc ore exiat alao in many of the lead diatricts of England, but are not now worked to advantage. The iron ores of England are chiefly bedded, and do not, therefore, admit of description in this place, but large quantities of rich oxides (hcematite) are found in ComwaU, and in the northern part of Lancashire. The tin of ComwaU, chiefly in the form of oxide, supplies not only England, but a great part of Europe, a Uttle being obtained from Saxony, and some small mines existing in Sweden and Austeia. The island of Banca, in the Indian Archipelago, and the adjacent peninsula of Malacca, also yield a considerable quantity. Eussia is remarkable for numerous and rich suppUes of gold, besides sUver and lead; these, however, being chiefly important in the more distant easterly provinces of that vast empfre. France is comparatively poor in metaUic produce. Austeia, chiefly in the Tjrrol, and Hungary, yield gold, cobalt, fron, lead, sUver, and mercury. Scandinavia is rich in iron and copper, whUe Spain yields mercury at Almaden, and lead and copper in other places. Prussia, vrith the exception of some parts of SUesia, ia comparatively poor, whUe Saxony ia remarkably rich in ores of sUver, lead, tin, and cobalt. Various smaUer disteicts in Germany also offer interesting apota to the miner, and amongst these the Hartz is perhaps the most remarkable. WhUe Europe and Northern Asia thus offer a multitude of places whence metaJUc riches may be obtained, other parts of Asia, especiaUy India and the countey adjacent the Malayan peninama, together with Southern Auatralia, are amply prorided with aimUar reaources. Nor is America less favourably cfrcumstanced, since Mexico, Columbia, BrazU, and, aa has been lately shown, California, are rich in the precious metala, copper, and quickaUver, whUat elsewhere, aa in the United Statea and Canada, the metaUiferous minerals already diacovered are numerous, extensively distributed, and of great value. Africa again appears to contain several metals, among which gold is not the least important, and many parts of AustraUa have afready yielded large suppUes of mineral wealth. AU these mineral districts offer the same general structure, and in most of them simUar metaUiferous veins are found in the same kind of metamorphic rock. Mountain-chains, or hiU-teacts, presenting distinct axes of elevation, mark the line of greatest mineral riches in Great Britain and Scandinavia, the Ural Mountains, the Altai Mountains, the mining countriea of the Hartz, of Hungary and SUesia, the Eastem Archipelago and AustraUa ; while the gigantic Cordilleras of the Andes, in South, and the Eocky Mountains in North America, traceable throughout the whole length of the New World, are also remarkable for thefr metalliferous produce. 296 CHAPTER IX. STEUCTURAL PHENOMENA CONNECTED WITH AQUEOUS ACTION. J ill. stratification. — 112. Mechanical disturbance of beds. — 113. Order of superposition of European strata. — 114. Lower Palaeozoic rocks. — 116. Middle Palaeozoic rocks. — lie. Car boniferous system. — 117. Magnesian limestone, or Permian system. — 118. Upper New Bed Sandstone, or Triassic system. — 119. Liassic group. — 120. Oolitic system. — 121. Wealden group. — 122. Cretaceous System. — 123. Older Tertiary rocks of England, Prance, and Belgium. — 124. Middle and Newer Tertiary formations of Europe. — 125. Tertiary deposits of Asia and America. — 126. Newest deposits of gravel and diluvium. QfTBATIFICATION.— There are two classes of stractural phenomena A3 observable in aqueous rocks — ^the one including phenomena of deposition, the other of disturbance ; the former presenting the result of many ages of imiform action, simUar to that going on around us in every river and on every coast, whUe the latter marks the intervals of such regular action, and thefr interruption by upheaving and other forces from below, producing mechanical displacement, and often attended with the incursion of such rocks as we have been considering in the last chapter. As it is the object in the present chapter to study those structural phenomena which are connected with aqueoua action, it is manifest that we have to deal vrith the former of the two classes of facts just referred to. No one at aU acquainted with the coast of our own ialand, or with the Earth's structure as exhibited in quarries, railway cuttings, coal mines, or other places where that structure is laid bare, can have faUed to remark frequent evidence of mechanical deposition and arrangement in the varioua layers presented, and in the alternations of sand and clay, limestone and sand stone. As little can it have escaped the notice of any careM observer, that theae layera are not, for the most part, horizontal, but tilted more or less, and sometimea very conaiderably, so that in teaveUing through a coimtry we may, if our route Ues in a certain direction, croaa the edges of a number of beds in a comparatively short distance, or, on the conteary, may continue on one bed conatantly, though that bed ia manifeatly of no great thickneaa. In other worda, the varioua beda possess a certain definite direction or length, and a limited breadth, arising from and depending on thefr inclination to the horizon, rather than thefr absolute thickness. This is expressed in geological phraseology by the terms strike and dip, the former meaning the dfrection m which the edge of the lifted up bed is to be traced along the Earth'a surface, and the latter the amount of its inclination to the horizon, which must necessarily be at right angles to the former dfrection, whatever that is. The geologist, taking advantage of this sfructure and position of the beds, (the result, no doubt, of the subterranean upheaving motion already described,) learna to connect together appearances in different counteies, to extend his knowledge of different beds and multiply very greatiy his obaervationa on them, to diacover the cfrcumstances of their deposition, by looking at thefr preaent aapect, and arrange them in auch order that he shaU be able to recognise them when he desires to compare those found in distant places. The materials, therefore, of the Earth's crust being to a great extent rranged in layera, beda, or strata, and appearing to have been deposited from suspension in water, the term ' stratification' includea a very large claas of phenomena, and we may employ the expression ' stratified rock,' STRATIFICATION. 297 as a descriptive and distinctive name. The rocks described in the last chapter are, on the other hand, ' unsteatified,' for they exhibit neither the appearance referred to, nor any marks of slow subsidence from water. The general appearance of a stratified rock is that of numerous layers of material of the same kind — ^whether simple limestone, sandstone or clay, or any mixture of tiiese — forming together a group to which the name of bed may be appUed, and which dififers from the separate leaf-like and irregular layers in presenting characters somewhat more marked at its junction with another such group or bed. Thus, a bed of clay may be of indefinite thickness, and may even form an almost homogeneous mass ; but, provided it ia separated from similar or dissimUar beds, it ia considered diatinct, even if resting on, or overlaid by other clay of the same kind ; but minute differences of colour or tenacity are generally manifest, and afford sufficient proof of aqueous origin, by producing, in fact, these ordinary appearances of steatifi- eation. The word stratum (plural, strata) is very commonly uaed as aynonymoua with bed, as, on the other hand, bedding is synonymous with stratification. When, as frequently happens, several beds or steata rest upon one another, and are possessed of certain common characteristics, having been apparently deposited continuoualy, the whole together are diatinguished as a formation, and in this way we speak of the chalk or the London clay as formations, meaning thus to express a higher step in generalization than when we speak of them merely as strata. But the further investigation of nature shows that there are not only a great many of ihese formations, but that we may occasionally include several of them tmder more comprehensive titles. In this way, a number of formations together may be coUected into a system, so that, for instance, the chalk and greensand formations, which have certain characters in common, are spoken of together under the name of the ' Cretaceous System.' There is a yet higher division also, which ia often adopted, and according to which the whole aeries of ateata are collected into three great groups, and thia, aa its moat striking feature, involvea a total diaaimilarity of fossU remains ; and the lapse of a long period of time being supposed to have been the chief cause of this change, the group is aometimes denoted by the term period. The expreaaion series, ia alao conveniently appUed in aome casea, and ita uae may occaaionaUy be the meana of avoiding difficulty or objection. The whole number of strata thus grouped is exceedingly great, and thefr total thickness, if added together, would amount to many mUea ; but aa there are no minea ao deep, and no mountaina so lofty, as to exhibit anything like the half of this thicknesa, it becomea necessary to inquire what are the meana in the poaaeaaion of the geologist, by which he can attain a knowledge which would thus seem necessarUy shut out from him. The explanafron of these means introduces another and most important branch of our science. 112 Mechanical Disturbance of Beds. — We have said that the beda are generaUy tUted or removed by some elevatory process frcfm below into a more mclined position, vrith reference to the horizon, than that in which they were deposited. Now, since we find, on examination, that this elevatory process has acted very frequently during the deposit of the beds that form the series in such a countey as England, it appears that the formation of regular steata has been accompanied from the very beginning by the action of forces, sufficiently powerful to elevate, break asunder, or alter the poaition of the whole mass of matter intervening between the point of appUcation of the force and the surface of the soUd matter of the globe at the time, and that these forces, although frequently shifting, were generaUy exerted in the same or nearly the same dfrection. It is clear also, that since the rocks have been very frequently consoUdated and greatly altered, (partly, perhapa, by chemical and electrical cauaea, and partly by heat,) after they were deposited but before they were disturbed, and. .then after this have received the deposits of the next newer period — sufficient time must have 298 PHYSICAL GEOGRAPHY. elapsed to aUow of aU this change, the greater part of which was, doubtless, effected by a process not merely gradual, but even slow. Of the magnitude and mode of action of these forces, the observations which we are able to make on the rocka exhibited at and near the surface of the Earth, and which we have already considered, enable us to form a very real and useful notion, and although uniform in thefr nature, they have E reduced two distinct series of phenomena. From the examination of the rst it appears, that the disturbances have often been such as to produce violent and sudden changes upon districts comparatively Umited in extent, and that these changes have been accompanied by the eruption of heated or melted matter from beneath the surface. From the other appearancea, we leam that tracta of land or of sea bottom of great extent have been the subject of slow and conatant alterations of level, apparently without riolent changes or marks of disturbance observable at the surface. To the action of the latter forces we must refer the general elevation of low and undulating, and often of mountain, districts, both island and continent, and thefr occa sional depression; whUe all local disturbances, and the first formation of great mountain chains, belong to the other series, the forces acting at longer intervals and vrith greater riolence over Umited tracts. The geological result of these forces has been, as we have said, to alter considerably the original horizontaUty of strata, to produce those phenomena which are respectively known as dip and strike, to cause the exiatence of dykes and faults, of anticlinal and synclinal eaces, oi domes of elevation or saddles, and valleys of elevations, whUe the position of many beds originaUy horizontal, but now seen lying on the upturned edgea of the underlying beda, has introduced the neceaaity of employing auch terma aa conformable and unconformable sfratification. These terma form a part of the technical vocabulary of the geologiat, and their meaning requfres to be fiiUy under stood before commencing any important geological investigations. 1 13 Order of Superposition of European Strata. — It ia highly neceaaary to be acquainted generaUy with the whole series of mechanicad deposite, and although it could hardly be expected that any one counfry could give a series 80 extenaive, yet it so happens that most of the beds found in any part of Europe are met vrith also in the British islands. The foUowing table, though chiefiy adapted for our own country, wiU alao serve to give a general idea of the order of superposition of stratified rocks, and of the groupa into which they have been coUected. It wiU there be seen that we have a large nuniber of rocks and coUections of rocks to consider and compare, and that they have been arranged, as haa been afready intimated, into three principal diviaiona, caUed Pesiods, and in fourteen less comprehensive groupa, caUed series, or systems. Of each of theae we ahaU next proceed to give a brief outline, enumerating at leaat some of the more remarkable facts that have been determined with regard to the materiala of which these groupa have been made up, and the cfrcumstances under wbich they are generaUy presented. It will be observed, however, that whUat in the table we have thought it best to give the order of auccession in such a way that the eye would not be deceived in referring to it, it has been preferred, on the other hand, to commence the more detaUed description with the rooks loweat in poaition, and therefore ffrst formed. The reason for ao doing wUl be very manifest when it is considered, that to give a true idea of the order of superposition in a table, the natm-al position must be observed, whUe to speak of the rocks themselves, which are derived from each other, the history is best given by commencing with the most ancient formations. TABLE OF CLASSIFICATION OF ROCKS. TERTIARY PERIOD. British. Modem Deposits. Raised beachea. Peat bogs. ¦ Submerged forests. Deposits in caverns. .Shell marls. Newer Tertiary, or Pliocene Series. r Upper gravel and sand. TiU. Mammaliferous crag. Fresh water sand, and gravel. - Red crag. Middle Tertiary, or Miocene series. Coralline crag. Lower Tertiary, or Eocene series. ^Fluvio-marine beds. Barton clays. Bagshot & Bracklesham sands. London clay and Bognor beds. Plastic and mottled clays, sands, and shingles. FoBBiGN Equivalents, or Synonyms, AND Chief Fokeign Localities. Similar appearances in Northern Europe, Siberia, and America. These beds, or their equivalents, are known in various parts of Northern Europe and America. Other, but very different deposits, are the newer beds of Sicily. Otliers, again, are found occupy ing a large part of South America. Loess of the Rhine. Subappenine beds. Brown coal (of Germany). Belgian tertiaries (Crag). The Sivalik beds (India) are supposed to belong partly to this period. Touraine and Bordeaux beds. Part of the Molasse of Switzerland. Vienna basin. Certain European, Asiatic, North African, and North American beds. Paris basin. Central France. Molasse of Switzerland (lower beds). Belgian tertiaries. Various beds in Westem Asia and India. Various beds in North and South America. Nummulitio beds. Cretaceous system. SECONDARY PERIOD. 0 Upper chalk with flints. Chalk without flints. Lower chalk and chalk marl. Upper green sand. Gault. Lower green sand. a. Kentish rag. h. Atherfield clay. ,1 Speeton clay. Wealden system. "Weald clay. ¦ Hastings sand. Purbeck beds. Scaglia limestone of the Mediterranean. Maestricht beds. Senoniam division of D'Orbigny (Craie blanche). (Tm-oniam beds of D'Orbigny (Craie < tufau). [^Quadersandstein of Germany. Albion beds of D'Orbigny. Planerlcalle of Germany. Neacomicm of Switzerland and France. Hilsthon of Germany. Pondicherry beds. Bogota beds, South America. ? Aptian beds of D'Orbigny. ? Sils-conglomerat of Germany. Near Boulogne. North of Germany, 300 CLASSIFICATION OP ROCKS. SECONDAET PEEIOD — Continued. FoEEiGN Equivalents, oe Synonyms, British. aud Chief Fobeign Looaukes. Oolitic system. & 1^ o tA Jura limestone is the usual continental synonym of our oolitic series. /Portland stone. Lithographic Umestone of Blangy. Honfleur clays. Solnhofen beds Beds in South of Rusaia and in India. a. Limestones -with clay and cherty bands. 6. Siliceous sand. VKimmeridge beds. Coral and calcareoua grits. Oxford clay. a. Stiff clay. 6. Kelloway's rook. ^Cornbrash. Forest marble. Bradford clay. Great Oolite. Stonesfield slate. FuUers' earth. ^Inferior Oolite. Nerimmn limestone. Argile de Dives. Etage Bathonien is the name given by D'Orbigny to our lower Oolites. Calcaire apoh/piers. Cdkaire de Caen. liassic system. I Alum shale. Marlstone. Lower lias. Calcaire a gryphites. White lias. Upper new red sandstone, or Triassic system. /Bone bed of Aust cliff. Variegated marls, with salt and Kevper marls, or Mariies gypsum. Mvschelkdtk. >• Variegated sandstones. Bimter Sandstein, or (}ris bigari-i. PALEOZOIC PERIOD. Magnesian limestone, or Permian system. ("Magnesian limestone. Zechstein. < Dolomitic conglomerate. Kupfer-schie^er and other shales. |_ Lower new red sandstone. Rothe-todte-liegende. Carboniferous system. ' Coal measures. a. Gritstones. J. True coal-measures. c. Freshwater limestone of Burdie House, near Edin burgh. Millstone grit. a. Coarse gritstones. b. Laminated ehalea. Carboniferous limestone. ll. Banda of fossiliferous lime stone. b. Shales (Calp, Culm). The coal-measures occupy an important place in various parts of the Continent, in Belgium, France, the Rhine, South Russia, and also in North America, in various parts of Asia, and in Australia. The foreign synonyms are, Steiniolilen- gebirge, Pet-rain houillier, Terrain carbo- nifere, and Terrain anthraxifere. The millstone grit is generally a bed of subordinate importance out of the British islands. The Kiesel-schiefer of Germany is an equiv.alent of the carboniferous limestone. The Belgian limestone beds, and others in Northem -Bavaria, are in the same part of the series. CLASSIFICATION OP ROCKS. 301 PAL.a;ozoic period — continued. British. Devonian., or old red sandstone system. ' Quartzose conglomerates (Old red sandstone) in South Wales and Scotland ; represented by coarse red flagstones and slates in Devonshire and Corn waU. Cornstone and marl of the old red sandstone. Calcareous slate, Umestone, sandy beds, and con glomerates of Devonshire and Cornwall. Upper Silurian series. ' Tilestone.Ludlow group. a. Upper Ludlow shales. b. Aymestry limestone. c. Lower Ludlow shales. Wenlock group. a. Wenlock limestone. b. Wenlock limestone. Lower Silurian series. f 50. Caradoc sandstone. \ 51. Llandeilo flags. FoEEiGN Equivalents, or Synonyms, AHD Chief Foreign Localities. Devonian beds are well known in Bel gium, the Eifel, Westphalia, and North Bavaria. In Russia, the old red sand stone appears, and contains similar fossils to those found both in the corresponding beds in the British islands, and also in Devonshire and Herefordshire. The Pa leozoic beds of Australia are supposed to be contemporaneous. Silurian strata extend over much of northernmost Europe, and corresponding latitudes in America. They have been found in Brittany, in WestphaUa, near Constantinople, and in Asia Minor. In South Africa, the southemmost parts of South America, Australia, and China, different contemporaneous rocks have been determined. In mineral character they are generally distinct from the Eng lish beds, but offer no marked characters uniformly present. 114 The Lower Palceozoic Bocks. — The rocks of the Palaeozoic or older period are remarkable for possessing a certain atriking uniformity of mineral character, in varioua very diatant parts of the globe in whioh they have been examined. They either rest at once upon the granitic framework of the Earth, or pass by a series of insensible gradations from crystaUine and altered rocks, wbich appear to have been originaUy formed by the decompoaition of granite. These latter rocks also were either deposited before any living creature existed upon the Earth, or under cfrcumatancea whioh did not admit of their preaence or preaervation. The Palaeozoic series consiat of (1) the group of Lower SUurian rocks ; (2) the Upper SUurian rocka ; (3) the Devonian or Old Eed aandatone ayatem ; (4) the Carboniferoua system ; and (5) the Magnesian limestone or Permian system. 1. 2%e Lower Silurian Bocks. — These rocks are best known by the hard, dark-coloured, gritty beds abundantly met with near the town of UandeUo, in Caermarthenshire, and thence caUed Llandeilo flags, and the sandstones vrith calcareous bands found on the fianks of Caer Caradpc in Shropahfre, and denominated Caradoc sandstones. These, the original subdiriaions of the Lower SUurian system, are, however, strictiy local, and cannot be traced even throughout tbe northem part of Wales, although remarkably perfect in South Wales and Shropshire. The older SUurian atrata thua determined, are found to be repeated under varying mineral conditions, throughout North Wales ; they occur also very distinctly, although not to any great extent, in Cumberland and the Lake district ; they appear to e.rist in Ireland ; and they are met with in the south of Scotland, and the west of CornwaU. In most cases, the frue age ia somewhat doubtful, owing to the absence of any satisfactory eridence of condition or superposition. On the Continent of Europe theae rocks may be traced, though not with out difiiculty, in various parts of Westphalia and from point to point into 302 PHYSICAL GEOGRAPHY. Bohemia, and they havo been identified near Prague ; they appear also in SUesia, and in tliis way seem connected with blue clays and other rocks, probably of the same age, in Russia, lying horizontaUy and undisturbed on the gneiss and other altered rocks of those disfricts. There is a much thicker series of rocks of the same age in Norway. In Aaia, the eastern flanka of the Ural chain aeem to exhibit some specimens of the same ancient formations. In Southem Africa, simUar rocks have been observed ; many parts of North America exhibit them expanded to an enormous extent ; and in South America, the frowning precipices of Tierra del Fuego and Cape Hoorn seem to be formed of contemporaneous deposits. The thickneaa of the Lower SUurian beds, although exfremely variable, ia so frequently considerable, that whatever may have been the cfrcumstances of deposition, we are justified in supposing that a very long period of time must have elapsed before the completion of the series. In our own country, this thickness amounts to several thousand feet. The proportion of argUlaceous matter and quartz, but chiefly the latter in its various forms, is, on the whole, much greater than in any newer rocks, and the mixture of calcareous matter less ; whUe the presence of mica is clear proof of the preponderance of granite among those rocks to whoae degradation the preaence of^these slates and sandatonea waa owing. In the Britiah Islanda and very generaUy in other countriea, the group is represented by a greyish coloured sandy stone, often slaty and flaggy. In North Wales the slates have undergone an amount of mechanical pressure so considerable that they are often folded and twisted into the most exfraordinary contortions. Sueh reaults are, however, merely local. 2. The Upper Silurian Bocks. — The country of the ancient ' SUurea' in Walea and Shropahfre, is the classic ground of these rocks in England, and exhibits the most remarkable and beautiful series of them anywhere discover able. They are here distinctly a separate group from the Caradoc sandstone, and although thefr upper beds pass into the Old Red Sandstone of Hereford shire and the neighbouring counties, there can be little difficulty in at once perceiving that they form a great natural series, grouped into diatinct for mationa. The neighbourhood of Wenlock and Wenlock Edge, and the hUlon which Dudley Castle is built, ofier the best examplea of the lower of these forma tions, and have given a name to them. They consist of Umestone overlying shale, the latter — the Wenlock shale — generally of dirty, muddy appearance, and of grey or blackish colour, containing impure argiUaceous and calcareous nodules. This ia aucceeded by an impure limestone, (containing a good deal of argiUaceous matter,) the difi'erent layera ofwhich are aeparated by clayey beds. The uppermoat group of the Silurian rocks is best seen at Ludlow and its vicinity, and comprises two beds of shale or mudatone (the Upper or Lower Ludlow shales) with an intervening bed of limestone (the Aymestry limeatone) somewhat less argUlaceous than that of Dudley. As might be expected, the limestone is sometimes absent, and, in that case, two beds of shale united represent the whole formation. The upper beds of the Ludlow shale pasa upwards into sandy beds, and others which contain in incredible abundance the fragments of several small fishes. These subdivisions ofthe Upper SUurian rocks are strictly local, and should not be looked for in other districts. In North Wales, the micaceous aand stonea near LlangoUen, the Denbigh fiagstones, and a large series of rocks probably belong to the newer part ofthis period. In Cumberland, a great proportion of the mechanical rocks must also be referred to the same age ; and in Ireland there are extensive simUar and contemporaneous groups of strata. In the Border country and other parts of Scotland, there are rocks of this age of umform eharacter, and much altered from thefr original condition. On the Continent of Europe a considerable proportion of the so-caUed grauxvacki of Belgium, Rhineland, and Northem Westphalia, similar beds in CLASSIFICATION OF ROCKS. 303 Brittany, others in Spain, and others in the Thracian Bosphorus, near Constantinople, have been shown to be of the Upper Silurian age. Other rocks in Northem Europe, in Rusaia, and Scandinavia, ai-e yet more diatinctly identifiable with our own SUurian afrata; and in North America, South America, and the Polynesian lalands, there aeema good evidence that groups of fossUs more or less characteristic and identical with English Silurian species, mark a contemporaneous deposit of a very similar kind. 115 The Middle Palceozoic Bocks. — In the typical Silurian diatrict the Upper Silurian rocka paas upwards into a sandy rock which is occasionaUy micaceous and becomes a flagstone. This rook, under the name of tilestone, is now ranked as part of the SUurian series. It appears most properly to belong to the latter ; but the doubt that has been felt is a sufficient mark of the perfect passage between these two formations which, in most parts of England, difler completely in mineral structure. In fact, the so-caUed tilestones, which are often nothing more than hard and coarse aandstones alternating with red shales, pass into and are overlaid by a number of clayey and marly beds, which afford an exceUent soU by decompoaition, and are locaUy caUed corn- stones, and these again are covered up by thick and extenaive masses of eon- glomerate and coarse sandstone, the conglomerate consisting, for the most part, of quartzy pebbles imbedded in a red matrix, and known as the quartzose conglomerate. The whole together make up the Old Red Sandstone Series of Here fordshire and Monmouthahfre, and occupy a considerable district on the borders of South Wales, being there developed to a very great thickness. The Old Red Sandstone does not, however, always retainthe same character as that described above : — as we advance northwards in England, the thick ness of the bed diminishes, and it loses many of its peculiar features ; but it appears again as a thick irregular conglomerate in Westmoreland ; and there, as in Herefordshfre, the passage upwards from the SUurian rocks appears complete. But it is chiefiy in Scotland that we find those huge masses of enormous thicknesa, from which the common notions of geologiata concerning the Old Red Sandatone are derived, and the beda there extend at intervals for 120 mUes, fringing the old rocks and attaining a thickneaa of many thouaand feet. They are also continued round the coaat, and are found in many ofthe Weatem- lalands of Scotland. ' Of this aeriea there are aaid to be three aubdivisions, and it is not unlikely that these are sufficiently weU exhibited in various districta to allow of their being locaUy determinable. It is necessary, however, to look upon the whole as the reault of cauaea acting during a long and unbroken period, probably corresponding to the middle and upper portion of the Old Red Sandatone of Herefordabire. In North Britain, the whole deposit rests on the gneiss; the lowest bed is a conglomerate of enormous but variable thickness, evidently made up ofthe broken fragments of the old granitic and porphyritic rocks, rolled and tossed about for ages in a tooubled sea, the hardest stones being often rounded into buUet-shaped pebbles, by their long and incessant attrition againat each other. Tbese conglomerates, however, are not universal, being sometimes succeeded and sometimes replaced by a series of remarkable bitu minous schists, which, in Orkney and Caithness, abound with the remains of fishes, and exhibit also some fragments of vegetables, the whole being over laid by rocks of marly character, sometimes becoming a mere friable clay. The uppermost beda consist chiefiy of quartzose sandstone. The Old Red Sandstone was formerly supposed to be a local formation entfrely confined to the British Islands, and its true importance, as representing a very weU marked G-eological epoch, has only lately been fully recognised. Although, however, it might well be supposed accidental that so large a series of coarse sandstones should be deposited as we find in Scotland and Here fordshfre, a nearly aimilar series is found in Russia, covering a vast fract of counfry ; and in the Westem States of North America, a group has been described strikingly similar to the lower part ofthe Old Eed of Scotland, 304 PHYSICAL GEOGRAPHY. The beds, now caUed the Devonian Series, which take the place of the Old Red Sandstone in the south-west of England, are for the most part calcareous slates, often sandy, and sometimea alternating with extensive sandy beda, and with imperfect limestones. In Ireland, the Old Red Sandstone is represented by coarse conglomerates, and occasionaUy by arenaceous clayey beds. On the Continent of Europe, although true Devonian sfrata exiat and are abundant, they are so compUcated, and the order of superposition is so difficult to make out, that they could hardly have been determined, had not thia obacurity been firat cleared away by investigations in onr own counfry. In Belgium, the Devonian limestones pass out of those belonging to the SUurian period without any break of continuity, and appear to include a perfect series, paaaing, also without any break, into the carboniferoua rocks. On the right bank of the Rhine, near Cologne, where SUurian and Devonian beds appear, the whole series is inverted, the Devonian actually overlying the SUurian sfrata ; and, farther to the south, in the north of Nassau, there are extreme contortions, marks of which may be aeen at the fortress of Ehrenbreitstein on the banks of the Rhine, near Coblentz, and still more on the banks of the Lahn, going up towards Ems and Naaaau. The Ruasian atrata exhibit no auch extreme conftision ; but they include many rocks totaUy difierent in mineral composition from any that are known to be contemporaneous, although they also represent almost every form that the Devonian strata or Old Red Sandatonea assume in other parts ofthe world. ii6 The Carboniferous System. — The uppermost beds of the Old Red Sandstone and the Devonian series are often found to paaa by a succession of shaly beds, or by an alteration of fine conglomerates and shales, into a black imperfect Umestone, succeeded by other limestones, less argiUaceous, and very soon covered up by extensive and thick Umestones. The bottom beds of the aeriea are commonly aeen in Ireland, and they are found alao in the lale of Man, where they Become fiaggy limestones, and they are also - probably represented in the carbonaceous rocks of Devonshfre. Generally speaking, however, the overlying limestones do not pass into the Old Red Sandstone or Devonian shales by any passage of this kind, but cover them irregularly and often unconformably. The distinguishing feature of the carboniferous rocks, wherever they have hitherto been found, consists in the very profiise disfribution of carbon in various shapes through almost every member of the series. This is ahown in the lower beda by the prevalence of carbonate of lime, in the middle ones by the occasional remains of vegetables, and in the upper by fhe existence of entfre beds of carbonaceous matter, commonly used as fuel in this counfry, and well known as coal. None either of the older rocks or those of newer date, can be at aU compared with these Palaeozoic sfrate in respect to the abundance of carbon they contain. Owing in many cases to subsequent movemente of dislocation in the districts where these rocks appear, they are oflen broken up into fragmente, and distributed into areas whicli have the character of baains or hoUow depressiona. In thia way especiaUy, the rocka which contain the largeat quantity of vegetable carbon or the ' coal sfrata' are limited in range, but this ia not the only reaaon for thia Umitetion, since they muat have been alao greatly confined in the actual area over which auch large contributiona of orgamc matter could be accumulated. The general order of superposition of the carboniferous series seems to have been (1) a vridely-spread formation of limestone, for the moat part the work of the coral animal ; (2) a aeries of gritstones or coarse aandstonea, called the millstone grit, alternating with, ana sometimes replaced by ahalea ; and (3) a great series of sandatonea and shales, containing amongst them the various beda of coal, nnd also containing thin seama of fron ore, and generaUy spoken of as the coal measures. CLASSIFICATION OF ROCKS. 305 The first of these beds is generaUy caUed the Carboniferous or Mowntairt Limestone. It occupies a prominent place in the Geology of England, and contributes much to the picturesque beauty of Yorkshire, Derbyshfre, &o. In the north of Yorkshfre, several thin beds of coal are met with in its lower part, although in other districte of England the vegetable remains are chiefly conflned to the coal measures. It often abounds in caverns, some of which are of great extent ; and, in Derbyshire and elsewhere, numerous mineral veins traverse it and yield a considerable quantity of lead and zinc ore. The Millstone Grit is an important deposit in the north of England, where it occupies an extenaive tract of country, and is extremely thick. In the middle and south of England, however, it fades away, and is almost lost, being feebly repreaented by a thin pebbly gritatone intervening between the true carboniferous Umestone and the coal measures. In Ireland, it re-appears in great force in the mountains about EnniskUlen. The Coal Measures must be considered with reference to the various diatricts in which thefr vaat value and importance are chiefly felt. The great Nortii of England or Newcastie coal field is partly covered up by the Mag nesian Umestone in Durham, and is occasionaUy worked through this bed. It contains about eighteen workable seams of coal (whose total thickness is about eighty feet) alternating with shale and sandstone, and greatly disturbed by faulte and dykes. The coal is the most bituminous and one of the beat adapted for economical purposes of any yet known. The Lancashfre coal field occupies a considerable area, and is connected vrith that of Yorkshfre. It includes perhaps the most perfect series of the rocks of the period anywhere existing, and consists as uaual of aandy beds and shales, alternating with a large number of coal seams, seventy-five of which (whose total thickneaa ia 150 feet; are deacribed. In its upper part occurs a pale blue limestone of fresh-water origin, which is again met vrith in other coal fields nearly a hundred mUes distant, and appears also at various intermediate pointe. The South Staffordshfre coal field is remarkable as the only representative of the Carboniferous rocks in that part of England, the MUlatone grit and Carboniferous limestone being both absent, tt exhibits a great prepon derance of shale, and the number of its coal seams is only eleven, but the thickness of one of these is unusuaUy great, amounting to upwards of thfrty feet in some places. The South Welsh coal field contains about ninety-five feet of coal distri buted in about thfrty workable seams, the most powerful of whieh is about nine feet thick. The associated shales and sandstones are of very unusual thickness, and they contain besides coal an abundant supply of fronstone ore. A considerable part of the coal in this district is non-bituminous, and diatinguiahed by the name of Anthracite. Beaidea theae, there are numerous smaUer deposits of coal in the middle and weat of England, and in Walea, aU of which poaaess local importance, but which we cannot now atop to deacribe. The basin of the Clyde in Scotland, is no lesa interesting for ita carboni ferous depoaita than important from thefr extent and value. In this district, the Old Red Sandstone is the general base of the coal afrata, thick sandstones, occasionally containing coal, teking the place of the lower carboniferous Ume stone. Thin beds of Umestone then succeed, and on these rest the great maaa of the coal-bearing strata, wbich greatly reaemble the similarly situated beds in England, but wuch include seams of fronstone ore yet more valuable. There appears, however, to be a freshwater limestone in this part of Scot land underlying the coal meaaurea, and possibly contemporaneous with a bituminous shate in the North Stafibrdahfre coal field. The coal aeams in the Clyde vaUey amount in number to eighty -four, but they are mostly thin ; the coal, however, is good. The total thickness of the deposit is estimated at about 5000 feet. The coal fields of Ireland are not unimportant, though they have hitherto 306 PHYSICAL GEOGRAPHY. been Uttle worked. The principal one worked is that of Leinster, and as much as twenty or thfrty feet of bituminous coal have been found in another smaU field near Tyrone. In Connaught there ia also a supply of fronstone ore. France and Belgium both contain a considerable number of coal fielda, but they are mostly of small dimensions, and in the latter country are greatiy disturbed, inclming at a considerable angle to the horizon, and worked hke mineral veins. The French coal fields are aU of very smaU size. Rusaia is not vrithout an extensive series of sfrata of the date of the Carbo niferous rocks ; and in the nortbem part of the empfre there seema to be a proapect of workable coal, the lowest beds of the syatem containing (as in Yorkshfre) a few seams of variable thickness, but of great value. In the south of Russia, very good bituminous and anthracitic coal is found in conaiderable abundance, but the beda are much disturbed by faulte. North America contains coal-bearing sfrata of great value, and of enormous extent, gigantic coal fields existing in the Weatern States and the British provinces. The coal meaaures here, as in Europe, form tbe uppermost part of the carboniferous series, and the number of seams hitherto known ia about ten, having an aggregate thickneaa of fifty feet. There ia one bed of thirty feet, worked like a quarry from the aurface. Tn V an Diemen's Land, and probably in several parts of Asia, there are sfrata of the Carboniferous period, greatly resembling those of our own island, and consiating of limeatonea overlaid by coal-bearing afrata. Much yet remains to be done in making out satisfactorUy the true poaition of theae strata with reference to the weU-known Carboniferoua series of Europe. 117 The Magnesian Limestone, or Permian System. — The coal meaaurea in the north of England usuaUy terminate with, or rather paas iuto, a sandstone, diff'ering from the ordinary coal grits in being discoloured with oxide pf fron, giving it a red colour. This sandstone, which is frequently of coarae texture, and ia very irregular in thicknesa, compoaition, and extent, ia the Lower new red sandstone oi EngUsh Geologiata, and corresponds with a aomewhat aimUar maaa of contemporaneoua origin in Germany, there called Bothe-todte-liegende, a name not unusuaUy appUed also in England. There ia often an apparent break of continuity between tbe Lower new red and the next superior bed of Magnesian Limestone, but this is not universaUy the case ; and marly beds, with thin bauds of sheUy limestone, unite and amalgamate the two formationa. The Magnesian limestone is extensively developed in the north of England, and is there sometimes aa much as five hundred feet thick. It receivea ita name from ita mineral composition, which ia a mixture of carbonate of magneaia with carbonate of Ume. It is a very variable rock, sometimes hard and perfectly crystalline, forming an admirable buUding-stone, (in this atate called Dolomite^ and sometimea in thin beds of loose texture — occasionaUy laminated — here and there oohtic, like the free stones of a later period — and on the coast of Durham possessing a singular concretionary structure, the cliffs appearing as if made up of pUes of cannon baUs. In tbia latter caae the carbonate of lime would appear to have formed into nodulea, and the magneaia ia left in a powdery atate, filling up the interaticea. The Magnesian limestone in the north of England appears to be capped by gypseous marls of no great thicknesa, and these are often entirely absent ; but further aouth, not omy thia capping, but the bed itself in ite most characteristic form, is absent, and is replaced by a conglomerate, made up of fragments of carboniferous limestone, cemented, together by a red or yellow magnesian paste. The Lower new red sandstone, without magnesian lime stone, overlies the coal fielda of Staflfordahfre and Shropahfre, but ia repreaented in a aomewhat difi'erent form from that whieh it usumly takes. The beds intervening between the coal meaaures and the Upper new red sandstone are not extremely important in England, but are much more widely extended and more manifestly diatinguiahed aa a group in various parta of the Continent. In Germany and some parts of France these rocks are of CLASSIFICATION OF ROCKS. 307 considerable interest ; one of the beds associated with the magnesian lime stone containing a copper ore that has bdfti much worked. The mag nesian Umestone series there forms two groups, the lower one argiUaceous, and the upper calcareous, the latter being in all cases mixed with a certain proportion of magnesian earth. In Russia this system is developed yet more perfectly than m Germany ; it occupies an enormous frough in the carboniferous limestone in the ancient kingdom of Permia, and conaists of a freat number of sfrata of very variable mineralogical character. It has een proposed by Sfr R. Murcbiaon to denominate me whole series, from its Russian tjrpe, the Permian system. ii8 The Upper New Bed Sandstone, or Triassic System. — This system of deposits ia the lowest or oldest of the middle period, and is diatin guiahed from the earlier formed beda partly by mechanical position, and Sso very strikingly in the nature of the organic contents. Like those of the Permian system just described, the rocks now under consideration are less perfectiy developed in England than in some districts on the continent of Europe. They consist for the most part of an extenaive series of yeUow or red sandy beds, alternating with red, green, or blue marls, and containing large masses of rock-salt and gypsum, (sulphate of Ume,) and although the beda thus characterized hardly admit of distinct aubdiviaion in England, owing to thefr great aimUarity in mineral compoaition, they are elsewhere divided by a band of limestone, (the Muschelkalk,) and in that case the lower sfrata {bunter sandstein or gris bigarrd,) are usuaUy more sandy, and the upper (keuper) more marly. A similar difference in the character of the beds obtains also in some parts of England. The Upper new red sandstone is generaUy seen spread evenly over the upturned edges of the underlying Palaeozoic rocks, which have undergone much displacement before the deposit of this newer bed. The sandstones, generally of moderately fine texture — ^less coarse at any rate than the Lower new red sandstones — occupy in this way a large superficial area, and are seen in the extenaive plains of the middle and west of England, and filling up all the vaUeya in the carboniferous limestone of the North. Their thickness is considerable, but not very easUy calculated. The continental beds of this period differ in some important pointa from thoae of England, but preaerve a general analogical resemblance. The lower part, caUed Bunter sandstein by the Germans, and Gres higarrS by the French, ia a fine grained, soUd sandstone, passing upwards into an earthy clay. To this succeeds the Muschelkalk, a Umestone of rather peculiar appearance, often argUlaceous, and not unlike some of the SUurian limestones in mineral character, but sometimea very diff'erent, and even becoming exfremely bituminous. The keuper or mames irisees — coloured marls, often containing vegetable remains — cover up the muschelkalk, and terminate the series. The upper beds of the Upper new red aeriea in England have been identified with the keuper, and are aometimes spoken of aa ' variegated marla.' 119 The Liassic Group. — The beds of this formation, so caUed, it is supposed, from thefr frequent appearance in striped bands or layers, may be traced through England, from Lyme Regis m Dorsetshfre, by way of Somersetshfre, Gloucestershfre, Worcestershfre, Northamptonshfre, Leicestershfre, Rutland, and Lincolnshfre, to the Humber, and then through the East and North Ridings of Yorkshfre to the coast at Whitby. In aU this fract the general features of the formation are the same, and from Gloucester northwards, there is an average and nearly uniform breadth of about six mUea, the total thickness of the deposit being generaUy above 600 feet. The rock is Uttle disturbed, and has a regular dip, being conformable to the underlying and overlying strata, except where it comea in contact vrith the mountain limeatone in Glamorganshfre and Somersetshfre. The Uas is generaUy subdivided into three parts, the lower portion reposing on a thin bed full of fishes' bones, and consiating of a lower Umeatone containing a large proportion of clayey matter alternating x2 308 PHYSICAL GEOGRAPHY. with shales, often calcareoua. Theae are overlaid by a bed caUed the marl- stone, (a marly Umestone of a very pale colour,) and above this there is another and a final bed of tough blue calcareous clay and shale, which passes into sandy beds, and so graduates into the ooUtes which next succeed. The uppermost bed is sometimes caUed the Alum shale, and is greatly developed at Whitby, where it ia burnt for alum. The lower beds are exhibited best in Dorsetshfre, and the marlstone in Gloucestershfre. On the Continent the Lias poaaessea nearly the aame Uthological character aa in England, but the lower beds are more aandy, and the middle onea more calcareoua. The upper marla are the most uniform of the continental liassic beda, and they moat nearly resemble the contemporaneous EngUah strata. I20 Tlw Oolitic System. — This interesting group of formations is so admirably exhibited in England, and occupies so large a proportion of the surface of our counfry, that it has received even more than its due share of attention, and wais aomewhat too prominently put forward in aU ite numeroua and intereating aubdivisions, in the first determination of Geological series. The beds caUed Oolitic (from the Greek worda aav (Son), an egg, and Xidos (lithos), a stone,) are usuaUy subdivided into three weU-marked groups, aU of them characterized more or less by the presence of limestones ; tee pecuUar structure of which (the rock being made up of innumerable smaU egg- shaped particles) has given its name to the formation. The general character of the OoUtic syatem in England may be described as consisting of three ridges running N.N.E. and S.S.W., with broad vaUeya or plaina intervening. The ridges in this caae represent the escarpments of the hard Umestone beds of the Lower, Middle, and Upper group of Oolitic sfrata, and the plains, the less coherent or softer beds, interposed between them. In this way the series may be fraced through England to the east of the Lias, and parallel to that formation ; but in many places, more eapeciaUy in the north of England, the upper series is wanting, and in the south the lower part is indifi'erently repreaented. Thus the order of the relative preponderance of difi'erent members of the series observable in the Lias is here reversed, the lower Oolitic beds being chiefiy developed in the north, and the upper ones in the south. The principal limestones of the lower series are ihelrferior and the <3reat Oolites, and these are separated from one another by marly beds, used as fuUer'a earth, and by a thin fiagatone remarkable for ita fossUs, and caUed the Stonesfield Slate. Under the Inferior OoUte there are sandy beda, which greatly preponderate in Yorkshfre, and contain numeroua vegeteble fossils. The Inferior OoUte itself contains about forty or fifty feet of freestone ; and the Great, or Bath OoUte, which is more important in economic value, presents a large series of exceUent buUding stones, alternating with coarse sheUy beds, but sometimes replaced by a thick clay, called ' Bradford Clay,' At the top of the Lower Oolitic group is a bed called locaUy the Combrash, which decomposes into an exceUent vegetable soU, and is chiefly made up of clays and sandstones with calcareoua nodules. The central portion of the Oolitic seriea consists, for the most part, of a thick bed of tough blue clay, caUed the ' Oxford Clay,' -very widely extended, not only in England, but on the Continent, and overlaid by beds of a more calcareous nature, sometimes taking the form of a, frue coralline limestone, and aometimes only containing a mixture of calcareous matter in sandy beds. In ita moat characteriatic form, tbia upper bed (the Coral rag) ia chiefly seen near Calne and Steeple Ashton, in Wiltshfre, and at Malton, in Yorkalure. The upper Oolitea, Uke the middle ones, consist chiefly of a thick bed of tenacious clay, locaUy overlaid by Umestone. In this case, tiie clay is called Kimmeridge Clay, from a vUlage near Weymouth of that name, where it is weU exhibited ; and the bed may thence be fraced northwards as far as Lin colnshfre, and even into Yorkshfre, resting on the Oxford Clay, sometimes without the intervention of the Coral rag, and forming the great fen district of Cambridgeshire. Over the Eimmeridge Clay there is in the south of CLASSIFICATION OF ROCKS. 309 England a very extensive development of limestone in Portland Island, the quarries of which have been worked for manycenturies ; but this does not reach farther north than Buckinghamshfre. Where best seen, the Portland rock includes aeveral banda of coarse, eai-thy limestone, alternating with a con siderable thickness of freestone, and covered up vrith a bed containing a substance Uke vegetable mould, in which the stumps and roots of trees are found. This singular sfratum, the Dirt-bed, is met vrith over a somewhat extensive area. North of Yorkshfre, the secondary rooks are very rarely exhibited in the Britiah islands, but in two or three vaUeys in Scotland, and eapeciaUy at Brora, there has been described a series Ibelonging to the OoUtic period. The beds are not ooUtic in structure, and contain hut Uttle calcareous matter. On the continent of Europe, there are many spots in which rocks contem poraneous with the EngUsh Oolites resemble them also in mineral character and general appearance. Near Caen the Great oolite and a considerable overlying series have been described by French geologists. Among the Jura Mountains, and even in the Alps, the three subdivisions are preserved aa in England, and thia is the caae also in the north of Europe, whUe in Russia, the whole series is divided into two portions, the lower being very locaUy distributed, but the upper part calcareoua and ooUtic, and vridely spread over the country. In the Caucaisus the beds of this period are greatly altered, and have been described as primary. In Asia, the north weatem paxt of the peninsula of India haa afforded eridence of an intereating group, probably contemporaneoua with the OoUtes. The beda containing coal in vfrginia, formerly deacribed aa carbonU'erous, belong alao to the aecondary period, and are of the aame age as the lower OoUtes of Yorkshfre, which they resemble. 121 The Wealden Group. — Lying immediately on the top of the OoUtes and paasing out of them so graduaUy that the actual junction can hardly be determined, there is found in the south-east of England, a remarkable group of fresh-water beda, classed together under the name of 'Wealden,' and consisting of a very thick and vairied seriea of arenaceous beds baaed on lime stones of amaU extent and pecuUar character, and covered by a bed of clay. This whole series may be described as a series of clays and aands vrith aubor- dinate beda of limestone grit and shale, containing the remains of organic bodies whose condition manifestly ahows that they have been subject to the action of river currents, but not to attrition from the waves of the ocean. The subdivisions are found only in some of the southern counties of England, and are not vrithout some interest, the Purbeck, or lower beds, being remarkable for the presence of a sheUy limestone taldng a good EoUsn, and known as Purbeck Marble, whUe the Hastings Sand, though of ir greater thickness, hardly presents greater complexity. The Purbeck beds, including a fissile limestone, and as many as fifty -five beds of workable limestone, attain in aU to the thickness of about 125 feet, and are much disturbed from thefr original position. The Hastings Sand consista at its base of friable sands suaa. as those seen at the chffs near Hastings, and upon them are found first an extensive series of arenaoeous beds containing buUding atone, and then aome bluiah grey aandatones, or calcareous grits, of no great thickness, known aa the TUgate beds. The Purbeck atrata are chiefly found in the westem part of the Wealden diatrict, and where the fractured chalk expoaea the lower beda in the vale of Wardour and the other vaUeys of elevation in Dorsetshire and WUtahire, whUe the Hastings sand is found not only in the vicinity of Haatings, where it is exposed on the sea chff, but also throughout the whole Wealden district. An upper band of clay, called the ' Weald clay,' intervenes between the Hastangs sand and the Cretaceous group, and is found along the Une of the North and South Downs, near the base of the escarpment of the chalk, and again in the Isle of Wight in the same position. It occupies a fract, about six mUes wide in the broadest part, between the Hastings sand and 310 PHYSICAL GEOGRAPHY. newer rocka, and consiats of a tenacious argillaceous bed reposing on beds of sandstone and sheUy limestone vrith layers of argUlaceous fronstone. There are in the Isle of Skye, and in one or two places on the coast of France, opposite the Weald of Kent, smaU patches of afrata, nearly of the aame age ; and in the north weat of Germany a considerable thickness of contemporaneous fresh-water beds haa been alao determined. With these exceptions, the transition from the Upper ooUtes to the Cretaceous rooks is abrupt, and there is reason to beUeve that a long interval must have elapsed between the deposit of the two series. No marine beds are yet determined which can with safety and certainty be referred to the Wealden period. In other worda, the period during which these beds were being deposited in England was either occupied by com pleting some of the Upper ooUtes in other seas, or else during that time there was a cessation of depoaita over wide fracta, owing either to thefr being above the aea or the bottom of a deep ocean. 122 The Cretaceous System. — This group of sfrata has received ite name from tbe almost universal presence in it of the white chalk (creta) which forms its upper dirision in most parts of Europe. The whole formation haa feneraUy been divided into three parts, (1) the Lower greensand, represented oth in some parts of England and on the continent of Europe by very extensive and thick beds; (2) the Gault and Upper greensand; and (3) the Chalk ; but the two latter groupa aeem to poaaeaa more analogies with one another than they do with the lower division. The Lower Greensand of England is exhibited in a varied but characteristic form, in the cliffs between Folkstone and Hythe, and alao near Maidstone, in the county of Kent, and at the back of the lale of Wight, where it expanda so as to occupy a very prominent place in the Geology of the district. Under the name of Neacomian, beds of nearly the same age have also been deacribed from the -ricinity of Neuchatel in Switzerland, aind from the aouth of France. There are aome placea in the south-east of England where the passage upwards from the Wealden to the Lower Greensand is very difficult to frace, owing to the aimUarity of the clay beds in the two depoaite. Near Hythe this is especialh' the case, and here also there ia an adinfrable aection of the whole Lower Greensand aeries. A simUar,* and equaUy interesting section may be seen in the Isle of Wight, between Atherfield and Black-gang Chine, but there is no passage there from the Weald clay into the Atherfield day. In the more central counties of England, in Bedfordshire, Cambridgeahfre, &c., where the Lower Greensand is stUl an extensive bed, it is remarkable for Uttle more than its deep red colour, a phenomenon apparently due to the preaence of a considerable quantity of the peroxide of fron. The Lower Greensand of the aouth of Prance and of Switzerland consiste of calcareoua beda of considerable thickness, and in Germany the beds of the same age are repreaented sometimea by extensive beds of aand, and aometimes by clays. It is not eaay to determine very distinctly the identity of date of the different beda of the cretaceous formation in the Pyrenees, the Carpathians, the Caucasus, and the south of Italy ; but there can be Uttie doubt that a very large proportion of the whole must be referred to the lower dirision. The Gault and Upper Greensand are chiefiy exhibited in the eastern and southem districts of England, and there form a weU marked group, presenting distinct features. The Gault, the lower member, is best seen near Folkstone, (to the east of the town,) where it appears from the cliff section to be about one hundred and twenty feet thick, and to rest on the Lower Greensand. It is a stiff blue clay, and ia mixed with a small portion of iron pyrites. From Folkstone the aame clay may be traced, retainmg ita appearance and pecuUar mineral character throughout the east of England, everywhere coming iu between the Lower and Upper beds of Greensand. A little to the north of Cambridge it begins to thin out, and on the coast of Norfolk, where it comes out again to the aea, it is not more than fifteen feet thick. CLASSIFICATION OF ROCKS. 311 The Upper Greensand is somewhat variable both in thickness and in feneral appearance. It often forms a kind of step at the foot of the chalk, aving a smaU, but well marked, escarpment towards the Gault ; but this is by no means always the case, and as it goes northward it loses the cherty character for which it is remarkable in Surrey and the Isle of Wight, and merely serves to separate the GaiUt from the Chalk. Both the Lower and Upper beds of Greensand have received thefr name from the prevalence throughout both of them of smaU green particles of sUicate of fron. The Chalk is a very weU-marked and mteresting formation, both on account ofthe pecuharity of ite mineral composition, and its great uniformity in all respects throughout a very extensive area. It is also remarkable for the layers of fiint distributed through it, Above the white chalk vrith fiints there ia found at Maeatricht a yet newer bed, alao of the Cretaceoua period. The lower part of the chalk is somewhat impure, owing to the presence of argiUaceous matter and iron vrith grains of sUex, but these disappear in the upper beda ; and the sUex, inatead of being disfributed in grains, is coUected into distinct layers, each of which appears to have generaUy coUected round some spongeoua body as a cenfre. In this state the chalk is an almost pure carbonate of Ume, vrith a very smaU per centage of fron. In some districts on the Continent of Europe, the upper part of the cretaceous system bears a afrong reaemblance to the contemporaneous beds in England ; and true white chalk has been fraced not only in France, but in Denmark, Poland, Cenfral Russia, and the Caucasus. Under another form, the beds of this period are found in the South of France and in Italy, there forming hard crystaUine limestones and Umestones made up of the fossU remains of foramiuifera, and other beds ; whUe, in the central plains of Aaia Minor, aemicrystalUne rocks of the cretaceous epoch occupy a prominent place in the Geology of the disfrict. Remarkable beds of the same age have also been deacribed by Sfr C. LyeU, and bv American Geologiata, aa occurring in New Jersey and other parts of the United Statea ; but these seem to reat immediately on the oldest Secondary rocks, without the intervention of the OoUtes. R does not appear that any true chalk exists in America, but the formation is exfremely calcareoua, although perhapa chiefiy arenaceous. 123 The Older Tertiary Bocks of England, France, and Belgium. — It is only of late yeara that the department of Geology profeaaing to treat of atrata newer than the chalk has assumed its due importance, and the reason of this it is not difficult to comprehend, for the Tertiary sfrata form a far lesa pro minent group in northern Europe than the rocka of older date, and have for thia reason been long considered as of inferior importance, and even as mere superficial deposits not worthy of being deacribed aa a distinct ayatem. But thia relative predominance of older over newer depoaita is reversed in the south of Europe, in aome parta of Aaia, and in South America, where even the newest group of afrata haa undergone great change of poaition, and where thousands of square mUea of comparatively modern depoaita atteat the vaatneas of recent operations. It is worthy of remark with regard to these sfrata, that a large proportion of them bear marks of having been formed in the vicinity of extensive tracts of land, and that in this respect theyare contrasted with the older rocks, which were for the most part formed at the bottom of deep seaa studded here and there with islands, such as these we now find in the Eastern Archipelago. It is also clear that after the termination of the deposits of the secondary period, and probably during a long interval concerning which we have no records, land had arisen from the deep waters ; and the bottom of the sea, preriously the receptacle of chalky mud, assumed by degreed the outline of the continents now marked out by the mountain chains of Europe, Aaia, and America. But, however this may be, the rocks of the Tertiary period in northem Europe are for the most part local depoaita, and have been formed either in lakes, rivers, or estuaries, by matter conveyed along by freah water, or elae in narrow conflned seas not far from land. Hence it arises that a 312 PHYSICAL GEOGRAPHY. variety of causes have come into operation, such as irregular depth, sudden and considerable alterations of depth, and others, sufficient to modify greatiy the conditions of animal life. The Tertiary sfrata of Europe having been thus formed in small areas, do not usuaUy admit of general descriptions, but requfre the groups to be each separately described with reference to other contemporaneous deposits, but stUl more with regard to local cfrcumatancea. The Tertiariea of Europe and Westem Asia form a very variable series, consisting, in England and Belgium, of stiff clays, alternating with sand and resting on a coarse sand and gravel ; and in Paris, of a number of Umestones and marla alternating vrith gypaum and sUiceous sfrata. They are deposited in vaUeys or depressiona in the older rooks, and in England (in the Isle of Wight) some portion of them has been so greatly disturbed, that the beds are actuaUy vertical. This, however, is an exception to their uaual position, which is that of beds not much changed from thefr original horizontaUty. • • The older Tertiaries of England are chiefiy confined to three patches, which were originaUy, no doubt, connected and continuous, but are now detached and contained in frough-shaped hoUows in the chalk. These are called, respectively, the London, the Hampshire, and the lale of Wight baaina, and the stiff clay which predominates in them, and which is very abundant near London, is known as the ' London Clay.' The London clay often, but not always, rests on a series of samdy and graveUy beds, inclosing bands of potters' clay, and to these the name ' Plastic Clay has been fiven ; but, in the Isle of Wight, a distinct group of sanda forma the base. t ia now certain that no mere mineralogical attempt at subdiriding thia group of sfrata will succeed ; and Mr. Prestwich has shown that the great mass of clay in the lower part of the London series is strictly contemporaneous with the hard aandy beda at Bognor, from which the clays at Barton chff are aeparated by no leaa than 700 feet of sands. The strata which occupy the Paris basin differ exceedingly in point of mineral character from the beds just described. Over the chalk is uauaUy found a freah-water depoait of clay and lignite, and thia is succeeded either by a coarse sandy limestone containing many fossU shells, or by a siliceous limestone of fresh-water origin, almoat without foaaila. Next, above these limestones, separated only by a bed of sandstone, is usuaUy found a aeries of marla, containing amongat them a considerable quantity of gypaum, and in the quarriea from which the gypaum has been exfracted, (to make Plaster of Pans,) an immenae number of the remains of land animals were found during the early part of the present century. Last of aU, in the Paris series, there are two groups of marls and sands, one freah-water and the other marine, developed to some extent, and separated from the gypsum by a thin bed of oyater shells. The tertiary sfrata of Belgium are cbiefly seen in the prorinces of South Brabant and Limburg, and thefr general character is that of sandy beds containing oxide of iron, alternating with and overlying a series of badly developed marls and Umestones. The whole sequence is rarely exhibited in the aame locality, but the total thickness of the deposite is not great. At the base of the depoaita in many locaUtiea, are argUlaceoua marls, found chiefly in the northern and weatern parta of the basin. Theae are of blue or black colour, tenacioua, impervioua to water, and containing beds of septaria. In central France, and especiaUy near Auvergne, is a group of sandstones, marls, and Umestones, extending for a considerable distance from north to aouth, and having an average- breadth of about twenty mUea. SimUar depoaits, belofting to the older part of the tertiary period, are found near Le Puy, in Velay, and near AurUlac, in Cantal, the latter being, however, remarkable for containing a large proportion of sUex, probably derived from hot springs. Many other small beds are met with in tiie same district. On the aouth flimka of the Alps, near Vicenza, in Lombardy, a band of limeatone occiu-s, and another at Monte Bolca, both ofthe older Tertiary period, and both remarkable for containing remains of organized beings, chiefly CLASSIFICATION OF ROCKS. 313 fishes. The beds here are marly Umestones, interstratified with thick beds of compact limestone, and the whole series is overlaid by tabular basalt. There is evidence showing that many parts of Greece and Asia Minor were the recipiente of important deposits, apparently from some great fresh water l^e, not long after the termination of the chalk. 124 Middle and Newer Tertiary Deposits of England and Europe. — Overlying the older Tertiaries in England there is little more than a heap of gravelly strata, almost exclusively confined to the neighbourhood of the Eastern Coast. These accumulations are caUed ' the Crag formation,' and they appear to belong to a somewhat extended period, and to be dirisible into three parts, the lower being the Coralline Crag, so caUed from the numerous remains of corals found throughout the bed ; the next the Bed Crag, diatinguished by ita deep ferrugineoua atain; and the uppermost, the Mammcdiferous or Norwich Crag, whioh is of more recent origin than the Red Crag, and con tains bones of large mammaUa, and occasionaUy freah-water shells. All these beds are of Umited extent, the CoraUine Crag ranging over an area of about twenty mUea long, and three or four broad, ita total thickness averaging not more than twenty feet, whUe the Red Crag, although extending to double that thickness, is stUl smaU in every respect. The MammaUferous Crag appeara to be an estuary deposit. At varioua placea in the vaUey of the Thamea, and on the banks of the Stour and Medway, fresh-water deposits have been found, some of wbich appear to correspond m age with the newer portions of the crag, whUe others are stiU more modem. Pn the vaUey of the Clyde, near Glasgow, extenaive beda, of comparatively modem date, have been deacribed under the name of ' Kil,' chiefly conaiating of unstratified clay mixed frregularly with gravel ; simUar or contemporaneous beds have been found at Bridlington, on the Yorkshfre coast, and at various other locahties, where eridence of recent change of level has been sometimes also seen in the raised beaches and sub-marine forests. The middle tertiaries form a much more decided group in various river baaina on the Continent than they do in our own country. They occupy a conaiderable portion of the weat of France, filling up the baains of the Lofre and the Garonne ; they fifll up alao a great part of the vaUey of the middle Rhine ; they alone are to be met vrith in the whole of the great vaUey of Switzerland, between the Alps and the Jura chain ; and they proceed towards the north-eaat from Svritzerland, foUowing the courae and partly occupying the valley of the Danube. Frompoint to point they may be fraced spreading out into extensive series near Vienna and in Styria, and occurring again in the plains of Hungary; they are also found in Poland and Rusaia ; they appear both in normem and aouthern Italy, and on the shores and islands of the Mediterranean; and they are probably represented in the neighbourhood of Lisbon, and in the south of Spain. They thua form a most extensive OToup indicating, vrith much distinctness, that many portions of what is now Europe were submerged during the middle tertiary period. The newer tertiary period is not lesa amply repreaented in Europe than the middle one; but it is chiefiy in South Italy, in the Morea, and in the ialanda of the Eaatern Archipelago, tbat the more ext&aive beda must be sought for, although the vaUey of the Lower Ehine, near Bonn, and a portion of cenfral France, beaidea a large diafrict in southern Rusaia, also present important contemporaneous beds. The newer tertiaries are not aU of the same age, and the beds so caUed must have been in the course of formation for a very long period. Those in Italy admit of being subdivided into two groups, the older of which is caUed Sub-Apennine, and attaina a great thickness near Parma. These beds consist for the most part of greyish, brown, or blue marls, containing calcareous matter, and overlaid by thick sandy beds. The Sicilian beds are distinctly newer than these, and are equaUy extensive, aince in the aouth of SicUy hUla, 2000 feet high, are formed entfrely of the uppermost of them. Marls, with occasional limestone, form the great maas of the materials of these strata. 314 PHYSICAI. GEOGRAPHY. Fresh-water beds of the newer period are found at CEningen, on the Laie of Constance, consisting chiefly of fetid marlatonea and Umeatones, and occupying depressions m the molasse. These beda are of great thickness, but smallextent. The newer Tertiary deposits of the Rhine and Naaaau are remarkable for the preaence of very extensive beds of Ugnite, so thick as to be worth working, although the coal is too earthy and imperfectly bitumenized to be a valuable fuel. Other deposits of the same age are found occupying an extensive region in southern Russia, and weU exhibited in the cliffs on the Sea of Azof. They consist of beds of white and yeUow limestone, covered by sanda and sUiceoug grits. Similar beds occur in the Crimea, and the neighbourhood of Odessa. 125 The Tertiary Deposits of Asia and America. — TiU within a ve^ few years nothing was known of the great extent of these formations, and they are not even yet described in such detaU that we can speak with certainty as to their geological age. The westem part of Asia, generaUy, seems to exhibit a great variety of volcanic phenomena of recent date, accompanied by a conaiderable extent of modem Tertiary deposits, chiefly lacustrine, and con sisting of calcareous marls, and white limestone containing chalk. Some of these have been afready aUuded to, from thefr vicinity and resemblance to European tertiaries, as for example, the beds at Smyrna, and othera on the shores of the Caspian. There are, however, others fiirther east, which now require consideration. In the westem part of India, near Bombay, thick beda of Tertiaiy lime stone have been found, chiefly near Cutch, which are covered by argUfaceoug grits, and belong probably to the older part of the Tertiary period. Similar beds have been described as occurring in the more cenfral province of Mewar, and also at Delhi. Beyond this the Tertiary beds of tiie Sewalik range commence. The formations composing the SewaUk or Sub-Himalayan hUls, conaiat of beda of boulders or shingle, of aanda hardened to every degree of conaiateney, of marly conglomerate, and of an infinite variety of clays. The sfrate dip towarda the north, at anglea varying from 15° to 35°, and the breadth of the inclined beds is from six to eight miles. In a part of the Sewalik district, west of the Jumna, there ia an interminable aeriea of clays and sandstones, the former being most abundant, and in the upper part of the aeries, there occurs a sandstone rock, generaUy soft, but often in hardened masses, owing apparentiy to the presence of organic bodies, chiefly bones. A very large and remarkable group of organic remaiins has been obtained from fragmente embedded in this way in sandstone. The Tertiary afrata of the SewaUk hUls appear to have extended along the whole of northern India, north of the Ganges, and they occur also near Bombay, on the one aide, and in the Bfrman empfre, in the upper part of the drainage of the great Irawaddi river. There is a deposit, in various parts of India, caUed Kunkur, which is very generaUy distributed, and appears not to be confined to one period, although certainly not very ancient. This deposit is especiaUy abundant in the counfry running up from Gujerat to the north-east, towards Delhi, and appears covering bUls two or three thousand feet above the sea. Little is known of the exiatence of Tertiary beds in the great plains of Siberia and northern Aaia, and we are equaUy without information concerning China, Chineae Tartary, and Japan. There are not known to be any weU marked tertiaries of older date in the ialanda of the Eastern Archipelago. North America presents considerable tertiary beds in Vfrginia, the two CaroUnas, Georgia, and Alabama, chiefiy belonging to the older part of the period, and others of nower date in other diatricte. In Vfrginia there are greenish aands, replaced to the south by white limestones, of no great miokness, nearly contemporaneous with our London clay, and these, after CLASSIFICATION OF ROCKS. 315 being traceable for several mUes, are lost under newer deposits, of consi derable thickness, consisting of clay and loam, alternating vrith quartzose sand and beds of pure siUcious rock, fuU of interstices. Over the series of older sfrata thus described there is found, occupying a vride horizontal range, a deposit of clay of the middle Tertiary perio(f spread over immense plains, but Uttle above the level of the Atlantic. These are replaced, in Massachusetts, by white and green sands and conglomerate, resting on Ugnite. Upwards of ten thousana aquare milea of country are occupied by these deposits, whUe othera of somewhat newer date occur at the mouth of the Potomac river in Maryland, and consist chiefiy of clay and sand. In South America, the rocks of the Tertiary period are more extensive atnd important than in any other part of the world, extending in an unbroken line from the great plain of the Amazons to the Sfraits of Magelhan, a distance in aU amounting to 2,500 mUes, whUe in some placea they are not leaa than 800 mUes broad. Throughout this vast fract three prmcipal groups have been determined — ^the loweat conaiating of aandatones and marly Umeatones covered vrith gypseous clay, which retains water on its surface and produces marshes; the middle, or ' Patagonlan series,' as it haa been caUed, larger in extent and nearly the same in mineral character, and the highest or newest depoait, the 'Pampas clay,' is a single bed, probably one of the largest ever yet formed on the earth, covering a space of 180,000 square miles, and throughout chiefly argUlaceous. It is partly covered up by alluvial aands. 126 The Newest Deposits of Gravel and Diluvium,. — The regularly sfratified depoaita are often aeen to be more or leaa covered up and hidden by a maaa of neterogeneoua material, generaUy unatratified and depoaited in irregular heaps, but almost alwaya bearing marka of having been fransported from a distance. The fragmenta of tranaported rock wmch make up this mass are caUed 'boulders,' or 'erratic blocks,' when of large size and angular, and are in this case rarely far removed from the parent rock ; but they are more commonly smaUer and rounded, as if they had been long roUed against one another at the bottom of water, and in this state, and especiaUy when mingled with fine sand, they are called ' gravel.' Such material has often been conveyed from great distances, amounting sometimes to many hundred mUes from the place whence the rocka which compoae it were derived. The whole deposit when of this nature is not unfrequently caUed diluvium, or dUuvial drift, whUe alluvium, on the other hand, is a term used in confradistinction to dUuvium, and signifies the ordinary effects of fluviatUe action. The origin of gravel and dUuvial drift is a subject which has long atfracted the attentaon of geologists, and which ia not yet clearly made out. The dfrection of the drift, which can be fraced by foUowing up the gravel to ita source, varies very considerably in different districts, but it generaUy seema to have traveUed from some mountain chain, vrith the elevation of which the existence of theae aingular heapa aeems to have been connected. Among the more remarkable and instructive Ulusfrations of the phenomena of gravel, must be ranked the gravel hUls in the south of Seandinaria, and the isolated patches in the plains of Northem Europe — the escars, or gravel hUls of Ireland — the detritus of England, as fraced from the Cumberland hUls to the north, south, and east — the dUuvial phenomena of Svritzerland and Italy —the gravel of North America, and that of some part of the southem exfremity of the New World. Coimected with gravel phenomena, there must also be considered the rubbed, grooved, and poUshed condition of the rocks on which this material has been heaped, as these appearances have been the groundwork of theories suggested, and requfre to be accountefl for in the explanation of the phenomena. The tertiary deposits in many parts of South America near the banks of the great rivers are not, however, of this nature, as in most cases they appear 316 PHYSICAL GEOGRAPHY, to consist of nothing more than the mud depoaited at various pomte and over wide areas, which some mouths of the gigantic rivers of that country once traversed. The shifting ofthe actual river course, and its replacement by thick mud, is, in the case of aU rivers possessed of deltas or depoaitmg much mud, an event so much a matter of necessity, that we need not here aUude further to it. „ ^ , — With regard to the gravel beds and erratic blocks of North Europe, they are chiefiy grouped in eUiptical areas, vrith the longer axis pointing to some part of the Scandinarian mountains. The larger blocks are generally near the surface. The blocks consiat principaUy of granite. Syenite, porphyry, and hard Umestone, and have been found in Poland and Russia as well aa North Germany, reaching from the Ems and Weser to the Dwina, and even the Neva. In Scania they are however much more abundant, and the quantity of material greater, tliough the blocks are not larger. The diaperaion of blocks from the Cumberland hUls is also remarkable, as the rocks themselves of which these mountaina are compoaed are very' distinct and pecuUar, and very easUy recognised. The granite of Eavenglass, on the westem border of the region, haa been drifted to the south acroaa the sea, along the fiat or hollow of Lancaahfre, west of the Penine chain, and over the plains of Cheshfre and Shropshfre towards the vaUey of the Severn. In this long course the quantity of pebbles and bouldera is very consider able, and it is evident that the currents, whatever they were, wluch carried the bouldera, reapected the preaent levela of the country, for they have not once crossed the Penine cham to the eastward, nor penefrated far into the principality or the border districta, where the graveUy deposite have been derived from the neighbouring hUls. From the eaatern side ofthe Cumbrian mountains, the granites of Shap FeU and Carrock FeU have been fransported northwards to Carlisle, southwards by Kendal andKfrkby Lonsdale to beyond Lancaster, eastwards over the vale of Eden, and up the Penine escarpment at Stain Moor above Brough. Having here mounted the summit, the boulders diverge to the eaat-by-north, eaat and south-east, cross many lower ridges, and sweep over the oolitic moors and the chalk wolds to the sea-side at Scarborough and Flamborough Head, a distance of 110 mUea. In thia course three ridges amd two vales were crossed, but the present configuration of the ground has manifestly undergone no change, aa the paaaage of the Penine chain ia at only one point, and that the lowest, opening dfrectiy to the west.* The phenomena of rubbed surfaces of rock beneath accumulations of gravel, and in the track of large blocka and conaiderable masses of dUurial material, are important as pointing to the probable origin of the accumulations themselves. The appearance ia sometimes exactly that producid now by the action of a glacier moving along slowly, loaded vrith a heavy weight of trans ported matter, or elae appears due in a simUar way to the action of ice, which must in that caae have drifted on the spot where we now find the gravel, when the level of the surrounding land was much below its present poaition. There can be Uttle doubt that the toanaporting power of floating and drifted ice, aa affording a ready means of removmg large heaps of rock — as accounting for the deposit of these in one spot, far removed from the mountains whence they were derived, and aa explaining the marks of mechanical preaaure and rubbing met with in the vicinity of iaolated large blocka, or considerable quantitiea of amaUer ones— is a probable and aatia- faotory explanation of the phenomena of gravel. Many of the Umestones of various geological periods are remarkable for containing caverns, originaUy, perhaps, mere cracks in the sfrata, but since then worked into holes by the passage of water, or by other mechanical means. Theae have often served as the dens of wUd animals; and, when afterwards sUted up, and thefr floor covered with stalagmitic incrusta- • Phillips's Treatise on Geology, (Edinburgh, 1838,) p. 209. CLASSIFICATION OF ROCKS. 317 tion, whatever remaina these animals left have been accurately preserved, and may often be obtained for investigation. We learn in this way, that large hyaenas and bears once roamed over the waste expanae of our own ialand and of Europe, and that theae fierce carnivora were accompanied by a singular race of ruminants and pachyderms ; among the former being large animals of the deer fribe and a gigantic ox, whUe the latter included the elephant, and a nearly aUied genus, whose habita appear to have requfred the ricinity of extensive marshes. It IS, however, almost exclusively the remains of carnivora that are found in the caverns, which must in many cases have been the resort of successive generations of wUd animals for a long series of years. The species of bear and hyaena, whose remains are chiefly abundant, were much larger and more powerful than any of those now Uvmg, and there are indications also of a verylarge feUne animal (a tiger) existing contemporaneously with them. The gravel in various parts both of England and elsewhere contains nume rous fragments of the bones of the larger quadrupeds, once the inhabitants of this region. Among them may be enumerated the elephant, the rhinoceros, a hippopotamus, several large cervine animals, one of them remarkable for the enormous spread of its horns, and some large species of the Bos. AU these were contemporaries, and Uving also at the same time were the wolf, the fox, the badger, the otter, and a number of apecies stUl remaining. Conceming the nature of the revolution which, extending over the whole of Northem Europe, deafroyed entfrely aU veatiges of the larger mammaUa aa indigenous species, aUowing the amaUer onea to remain, it is not easy to decide in the present state of our knowledge. In other countries, as in Asia, America, New Holland, and New Zealand, there are similar proofs of the former exiatence of gigantic animala of analogoua apeciea to those which compose the existing faunas, and we every where find marks of extensive changes produced on the surface indicated by the presence of numerous fragmenta of rock, fransported from a great distance, and more or less evenly spread over the face of the country. The only ultimate cause that can be assumed, with any degree of proba bUity, as accounting for these phenomena, is the alow and successive eleva tion of large fracts of land at certain intervals. It is not unlikely that such elevation, even if in some places permanent, might be accompanied by a partial sinking, and there is evidence of recent elevation and also of depression to a very great extent over most parts of the whole world. Such evidence is seen in ancient sea beaches, and in deposits once formed quietly at the bottom of the sea near coast lines, but now raised many feet, and sometimes many hundred feet above the existing sea level ; while not far off the preaence of decayed foreats running out towards the sea at levels below that of high water, affords not leas satisfactory proof of partial depression. Thus we have seen that the structure of tbe Earth's crust, considered simply in a mechanical sense, offers a vast variety of facts, which it is not easy at once to explain ; that, however, aU these facts point to some regular plan and system in the elaboration of the existing surface ; and that the successive depoaits which may be traced have been altered and disturbed by frequent upheavals. These general results of the inveatigationa of geologists requfre, however, to be considered and compared vrith reference to the organized beings which also greatly modify the Earth's surface, and whoae conditions of existence we next proceed to discuss. PART IIL ORGANIZATION. CHAPTER X. THE DISTRIBUTION OF VEGETABLES IN SPACE. { 127, The meaning and nature of organization, and especially of vegetable life. — 128. Natural arrangement and classijication of plants. — 129. Influence of climate on vegetation. — 130. Influence of soil on vegetation. — 131. G-eneral range of plants in various countries at moderate elevations. — 132. The hotanical regiona. — 133. Distribution of plants in vertical space. — 134. Eange of cultivated plants. — 135. General considerations of the distribution of plants Jn distant botanical centres. rilHE Meaning and Nature of Organization, and especially of Vegetable JL Life. — The vegetable world preaenta ua with aome of the moat readily understood of thoae forma of matter which are endowed with vitaUty, being prorided vrith organa enabling them to form new and pecuUar combinationa of various elementary aubatances. In other words, we have in this depart ment of natural science a new force infroduced, modifying the action and altering the results of other forces — a body not only capable of selecting and separating the various material elements, and bringing them into new combi nations, but also of reproducing another body, which, though at first different in many respects, wiU, after passing through certain transformations and metamorphosea, repeat the individual and continue the race. The basia of atmcture of aU the various and dissimUar vegetables ia, however, the aame — it is a little closed vesicle composed of a membrane, usuaUy transparent and colourless. The ceU-waU consists of carbon, hydrogen, and oxygen, while a semi-fluid investing substance contains also nifrogen. Tbese elementary aubatancea, in varioua proportiona, make up the maaa of aU vegetation ; and the ceUs in the course of their development becoming crowded closely together, form into three principal tissues, according to the shapes of the ceUs, and thefr importance to the hfe of the plant. We may indeed regard the ceU aa a Uttle independent organized body living for itseli alone. It imbibes fiuid nutriment from the surrounding parte, out of which, by chemical processes, which are constantly in action in the interior of the cell, it forms new substances, which are partly applied to the nufrition and growth of its waUa, partly laid up in store for future acqufremente, partly again expeUed as useless, and to make room for the enfranee of new matters. In this constant play of absorption and excretion, of chemical formation, frans- formation, and decomposition of substances, especiaUy consiste the Ufe of the cell, and — since the plant is nothing but a sum of many oeUs united into a definite shape — alao the Ufe of the whole plant.* Since, then, every plant in ita course of formation, and every undeveloped part ofa plant, consists of theae celia, which in thefr growth, and by preaaure againat each other, become six-sided, radiated, cyUn(frical, spindle-shaped, or • Sohleiden's Plant, translated by Henfrey, p. 45. DISTRIBUTION OF VEGETABLES IN SPACE. 319 even filamentary, and which aometimes multiply so rapidly, that in ono fungus, (Bovista gigantea,) 20,000 new ceUs are formed every minute, we may weU understand the necessity of making out something of thefr stmcture, mode of growth, and natural relations. By one modification ofthe ceUs is formed the external layer of the plant or epidermis, a membrane which appears continuous, and which, as bark, is known to every one. Another modification produces tubular channels, which appear to the naked eye aa fibrea, but which aUow of the paaaage of the fluid contents or sap cfrculating through the plant, or else serve as afr vessels ; whUe a third continuea the development of these vascular bundles, and at length produces what is caUed wood. Those plants, and parts of plants, which consiat neither of bark nor wood, exhibit the ceUa either in their aimple atate or as vascular bundles, ao that these three conditions may be considered as the fundamental ones, and as involving aU that need be at first regarded. The contents of the ceUs of plants are, however, also very important, and may be divided into two groups — those soluble and insoluble in water. The former include albumen, gum, sugar, and the agreeable acids of fruits, such as maUc and citric acids. The lati;er are chiefly the fat oils, such as are found in the kernel of the almond and the fruit of the oUve, and the aromatic oils which characterise many plants. Of aU these various contents, however, the starch found in the ceUs, under certain cfrcumstances, and composing a large portion of the nutrient matter of plants, is the most important. It occurs in every part of every plant, but only the roots, tubers, seeds, fruits, and more rarely (as in the sago palm) the pith, aifford sufficient to serve as food, or repay the trouble of separating it. Such being the general condition of the matter of which plants are made up, it is stiU only when endowed with ritality that they exhibit the properties peculiar to organization. The ceU-formation, the first reault of Ufe, changes that which was merely a mineral into an organized body, and then all the dif ferent planta are distinguished from one another by the shape or plan according to which the ceUa are united together. The form, therefore, and modifications of form, as they develop the system in plants, are matters without a strict knowledge of which the idea of the vegetable kingdom cannot be conceived, and in order to assist in this conception, it ia well to deacribe the language of naturaUata in thia department of science with reference to a single plant. A plant, then, may be said to consist of the foUowing parts, although it must be remembered that aome of them are absent, and othera greatly modified in particular natural groupa. There ia a continuous principal trunk or stem, vrith various lateral appendages, of which three kinds may be traced, namely, the root, the leaves, and the buds; but the latter being, in fact, repetitions of the whole plant, except that they are not free at the lower exfremity, and the roots agreeing perfectly, in aU thefr characters, vrith the free exfremity of the plant, we have the plant really made up of a stem or aria, terminating downwarda in roota and rootlets, which attach it to some sohd support, and upwards in a seed-bud, whence the original plant ia repeated, and leavea, which vary greatly in thefr form and nature, since amongat them, and belonging to them, muat be ranked all the beautiful fiowers and deUcious fruits preaented by the vegetable kingclom. Different in external appearance ajs these are, thefr true character no longer admits of a doubt, and the change that takes place belongs to development, according to weU marked and invariable laws. According to the kind and degree of development that is natural to plants is thefr ultimate and characteristic form, and specific definition. 128 Natural Arrangement or Classification of Plants. — The first begin nings of vegetation are seen when a green film covers old damp walls, or is depoaited on the aidea of a glaaa, in which soft water has stood for several daya in aummer. Theae consist of the simple ceU, vegetating as an inde pendent plant, and are succeeded in organization by the confervae or mould, where the cells are arranged in Unes and filaments. Then come those long. 320 PHYSICAL GEOGBAPHY. thin, and lettuce-Uke leavea, sometimes green, sometimes red, often found on the coaat, and afterwards the vaat tribe of Lichens and Fungi, which with the aea weeda (Algce), form the three groups composing one large class of plants. In the ffrat mentioned tribes there are no deflnite o^ana, but in theae latter there are ceUa aeparated from the rest, and destined to the pro duction of reproductive ceUa ; but it is important to remember that, in aU plants, the same organ may serve the most different vital offices in different plants, and the same vital process may belong to the leaf in one plant, to the stem in the other — except, indeed, the organs of reproduction, which are not appUed to any other use. In the higher sea-weeds and lichens, the forma which in the Fungi (and alao in thoae lichens covering waUs, stones, and palings, vrith a whitish-grey or yeUow scurf) are very indeterminate, put on a more definite and regular character, exhibiting constant shapes, which resemble stems and leaves, though they have not the same uses, nor the same relation to thefr detailed structure. AJI these plants, however, present this one great peculiarity, that in none of them is there, properly speaking, either stem or leaf, and they are consequently fiowerless, and have no visible organs of fructification, in the usual mei niig of the term. They thus form a separate natural group, which is associated by very close natural resemblances with another group, of which the Mosses, Ferns, and Club Mosses, are weU known examples. In aU these, there can be distinguished a distinct stem, vrith leaves, but a pecuUar series of gradations ia presented in the formation of the repro ductive ceUs, which first come into more intimate connexion vrith the leaf, and at last aaaert so afrongly thefr claim to definite foUaceoua organs, that they lose all resemblance to the other leaves. Thus, in the Masses and Ferns, there ia a pecuUar approximation in form to the atmcture of the reproductive organa of more highly organized plante, whUe in the Club Mxjaaea, the resemblance is even greater, and the analogies are more real. AU the various natural groupa above referred to are described by botanists under the general name of Cetptogamia, and the second group are also caUed Acotyledons, owing to the plant not growing from a seed, which contains nourishment for the young indiridual during the earUeat stage of ita exiatence, although in some respects resembling plante of higher and more compUcated organization. In all other plante the stem and leaf are the elementary organs, but definite leaves are franaformed ao as to form reproductive celia, and these are therefore sometimes caUed sexual plants, to distinguish them from the Cryptogamous fribe. The sexual plants are again subdirided, one group exhibiting a very simple inflorescence — mdeed, no flower in the ordinary sense — and presenting the seed naked and undefended. The whole fir tribe, the misletoe, and a fanuly of tropical plants (the Cycadaceee) are of this kind, and offer a sfriking confrast to the other plants where the inflorescence is remarkable and characteristic. The phanerogamous planta are therefore either Gymnosperms (naked-seeded) or Angiosperms (covered-seeded) ; and the latter are eitiier developed from a bulb or aingle-lobfid seed, aa the palms and grasses, and are called Mono cotyledons (smgle aeed-lobed), or from a double seed, like the beam, thence called Dicotyledons (double seed-lobed). The plants of the two series not only differ eaaentiaUy in thefr apparently unimportant characters, but in all the rest of their organization ; and are ao stiikingly distinct in their external appearance, that a little practice enables the eye to recognise them at a glance. Thua the first or monocotyledons generaUy have the fibre-like wood- bundles scattered throughout the stem, as in the maize, whUe the second has a closed firm cfrcle of wood, Uke the wUlow ; in the leaves of the first the veins are usuaUy paraUel, as in the graaaes, but in the others they ramify like the branches of a tree, and form an elegant net work on the aurface of the leaf, aa in the Ume ; tind finally the number three prevaila in the floral arrangements of the firat, as in the tulip, whUe the number five is that found characterizing the other, as in the primrose. The two series proceed paraUel BJ < 5 o DISTRIBUTION OF VEGETABLES IN SPACE. 321 vrith each other in respeot of inflorescence, from the simple to the more com plicated forma, so that in the highest stage, where a number of separate flowers are united into one definite whole, arranged according to a marked type and defined with cfrclets of leaves, we find on the one side the grasses and on the other the so caUed Composite, of which the daisy, dandelion, thiatie, &o., are well known examplea, holding side by side the highest station in existing vegetation. Thus, then, we find aU the plants brought within range of description, by referring to these important, because natural, characteristics, and it may be worth whUe here to recal the principal points, and express in a tabular form the outline of the classification aa a matter to which we shaU frequently have occasion to refer. 1. Thallophttes. (Confervw, Fungi, Lichenes, Algce.) Stemless, and often without leaves or roots, growing in a centrifugal manner, and capable of undergoing modifications in the individual cells. 2. Acotyledons. (Liver-worts, Mosses, Ferns, Equisetacece, Club-mosses, and Bhizo- carps.) Having stems, vascular bundles, all developed at the same time, embryo a simple cell or congeries of oeUs, growth simultaneously upwards and do-wnwards from the central axis or stem, no visible floral develop ment. 3. AufGiosPEEMS. (Coniferce, Cycadeacece, Loranthacece.) Inflorescence very simple, not presenting a true flower, seed-bud and seed naked. '4. Monocotyledons, also called Endogens. Having one seed-lobe, whioh forms one small leaf in the embryo atate, the fresh leaves springing from the centre, and the footstalks of the old leaves forming the outside of the stem ; the vascular bundles defimte, and converging towards the interior ; not having true wood ; illustrated by the palms and grasses — all the arrange ments haring reference to the number three and its multiples. ^ 5. Dicotyledons, also called Exogens. Increasing by successive coats from without, the grovrth of each year forming a concentric circle of wood round the central pith ; having two lobes in the seed, symmetrically arranged, and appearing as two small leaves above the ground when the plant first grows ; vascular bundles indefinite ; the floral and other arrange ments govemed by the number five. Most of the common forest-trees of temperate climates, as the oak, beech, &c., are examples of this group. 129 Influence of Climate on Vegetation.— ^Plants being thus very variously constituted, and offering so many varieties of structure, are greatly infiuenced by various causes, ofwhich cUmate and soU are the most direct and important. Tims in tropical climates monocotyledonoua planta abound, and in temperate regions dicotyledonous, whUe in polar or extremely cold countries, the vege tation is chiefiy cryptogamic. On the other hand, certain tribes of plants are strictly confined to particular local conditions, which, at least to some extent, are connected with the soU, directly aa weU as indfrectly. We have already, in speaking of the distribution of temperature on the globe, explained those causes on which cUmate depends, and the vast difference m climate that may exiat in placea having the same latitude, but different longitude ; in others, having the same mean annual temperature, but different summer and winter heats ; and in others, having the same exfreme Umits of temperature, but not on the same isothermal. Vegetation is greatly infiuenced by almost every diatinct change of climate, although individual plants wUl adapt themaelvea permanently to considerable ranges of heat and cold. With regard to the extreme Umits of temperature at which vegetable organization can exist, we may aay, that although aeeda will not germinate at a temperature below the freezing point of water, (according to Goppert's recent obaervations, 39° Fah. is the limit,) stUl even the extreme cold requfred to freeze quickaUver doea not destroy their vitaUty. So also, on the other hand, no aeed wUl germinate in water whose temperature is 122° P., and at the heat of 144° in vapour, and 167° in dry air the vitaUty of com is desfroyed. It is indeed probable that a long continuance at much leaa extreme- temperature would be absolutely destmctive, since in the caae of Y 822 PHYSICAL GEOGRAPHY. gram an exposure to 95° F. for three days has been effectual in preventing subsequent growth. It has been observed generaUy that the mean temperatures of different seasons and single months form the best guides for purpoaes of botanical geography, since, if the isothermal lines only are attended to, the most extreme diasimUarity may exist in real climate. In those placea whioh have the aame iaotheral linea, (equal mean aummer temperature,) and in which the maxima of heat for certain Umited periods are nearly the aame, there is a sufficient reaemblance to aUow of the growth of simUar planta, although in the one place the vrinter may be mUd, and in the other very aevere. It is weU known that the leaves and flowers of the aame plant are unfolded at different perioda of the year ; earUer in the warmer regions, later in the colder. M. G. de. St. Hilafre once observed the peach frees at Brest without leaves or blosaoma on 1st of April; on the Sth he found them in fuU bloom at Lisbon ; on the 25th, at Madefra, the fruit had set; and on the 29th he got ripe peaches at Teneriffe. Numeroua other examples might be quoted, the general result being that for each degree that the station of a plant is nearer the pole, the time of flowering ia delayed almost four days, but there are many cauaes which greatly modify this law, and it may be otherwise and more accurately expressed by aaying, that vegetation is retarded, on an average, three days if the temperature be diminiahed one degree of Fahrenheit, Sthough, after aU, such calculations have no very sound basis. It requfres Ught and the action of the chemical raya ofthe sun to stimulate plants to activity, and perhaps heat may be a much leaa important element than haa often been auppoaed. Climate altera and is combined vrith a change in the condition and pressure of the atmosphere aa we ascend from plaina towards table-land and the higher portions of mountain-chains. This is seen equaUy weU in what ever part of the world the investigation is made, and modifies very greatiy both the present and past diatribution of vegetebles on the Earth. Thus, at the foot of a mountain, the plants of the plain appear, but they graduaUy disappear aa we aacend, and a traveller familiar with the vegetation, oxJUrra, of an arctic or temperate cUmate, wiU find, in aacending high mountaina vrithin the fropics, that he sees first one and then another group of famUiar forms prevaUing over the fropical forms of vegetation that he has left in the plains. After a time, even the trees cease to grow to thefr fuU height, Duahea being the largest plants, and, at length, as he approaches the Umit of perpetual snow, the bushes give place to herbs, these to Uchens, and but a few of the forms of plants of the arctic zone are missing, whUe even the same species re-appear after having been lost throughout the whole space between the arctic regions and the summite of these mountains. There ia, therefore, a certain paraUeliam between the disfr-ibution of vegetation from the level of the aea to the limit of perpetual anow, and that from the equator to the polea, although the gradual change of vegetation takea place much more alowly towards tiie poles than with increasing Stitude. With our present knowledge it ia now no longer difficult to perceive that this paraUeUam exactly agreea with that which we find between the gradual decrease of heat from the equator to the poles, and that from the plain to the limit of perpetual anow.* It is extremely difficult even to imagine any hypothesis which shaU explain the true influence of cUmate on vegetation, for we often flnd plants capable of undergoing great changes in temperature and even in aU other constituents of cUmate without injury, and yet naturaUy limited in extent within very narrow bounds. On the other hand, however, we find foreat freea and natural tribea of weU known plants altering thefr external character and form to a very great extent when exposed to a change of oUmate, either Meyen's Botanical Geography. Translation published by tlie Ray Society, p. 26. DISTRIBUTION OF VEGETABLES IN SPACE. 323 by removal to a different latitude, or by being transplanted to more or leas considerable elevations above the sea level. As an example of another kind we may take the case of barley, which is cultivated from the exfreme limits of culture in Lapland to the heights immediately beneath the equator, although it ia only within a very narrow zone that it apparently flourishes under natural conditions. It has been found by some curious experiments that in several places under latitudea varying as much as forty degrees, the actual number of days between planting and reaping multipUed by the mean temperature is nearly the same, so that to define accurately the conditions of temperature requfred to maintain any plant in a flourishing condition we must state within what Umits its period of vegetation may vary, and what quantity of heat it requfres. The great importance of considering the exfremes of temperature in speaking of cUmate is, however, best Ulusfrated in the case of the vine, which wUl indeed grow, and, in some seasons, produce eatable fruit in many districte beyond certain weU defined limits vrithin which drinkable vrinea are grown to profit. For this latter purpoae a mean annual temperature of more than 49° Fah. is sufficient, provided the mean winter temperature ia above 32°.8 Fah., and the mean summer temperature at leaat 64°.4. Thua, at Bordeaux, (latitude 44° 50',) the mean temperature of the year ia 56°.8, of vrinter 43°.2, and of aummer 71°- On the Baltic, (latitude 52^°) at a apot somewhat beyond the exfreme verge of the wine-drinking countriea, the corresponding figures are 47°.5, 30°.8, and 63°.7 respectively, and here wine is produced, but can hardly be called drinkable. On the east coast of Ireland, in latitude 55°, the myrtle nourishes as luxuriantly as in Portugal, but the summer temperature being low, the vine wiU very rarely ripen its fruit in the open air, for the mean temperature for the month of August being only 60°.8 Fah., the proper aummer average ia not approached, and the mildneaa of winter, which raises the isothermal, cannot make the required difference. Thus, the culture of the vine and the profitable Umits of other plants useful to man, depend more on the isotheral than the isothermal line, and are Uttle affected by great cold occurring in winter. 130 Influence of Soil on Vegetation. — Plants are generaUy attached to the earth mechanicaUy, and derive very important inorganic substances from the soU in which they grow. Many, however, can exiat permanently in water, whUe aome few seem to requfre nothing more than they can obtain directly from the air, and othera derive aupport only indirectly from the aoU, being attached as parasites to other plants. Almost all soUs, even fine quartzose sands, the most barren of aU, contain some soluble matter which plants can avail themselves of, and if we remove any plant to matter perfectly insoluble and water it with distUled water, it ean never attain to perfect development, although wdth carbonic acid gas and water it wiU continue to Uve. Water is thua abaolutely essential, and carbonic acid not less so, to the exiatence and reproduction of aU vegetable matter, but much more than this is generaUy requfred, and it becomea important to know how far the presence or absence c^ particular minerals, the nature of the materials of which a soU is principaUy made up, or the mechanical condition of such materials affect the capacity of the soU for receiving and nourishing certain plants or natural groups of plants. From the different habits afready alluded to it vriU readily be seen that a division into aquatic, land, and parasitic plants, includes almost aU the various kinds we are likely to meet with. The first class includea many groups, and with them may be properly assoriated shore plants, amphibious and inundated planta, and some others ; whUe the third or last class includes thoae only which are Umited, ao far as thefr habitat ia concerned, to other treea and vegetables. But it is with the aecond class that we have now to deal, and theae also are much subdivided, aa wehave aand plants, limestone plants, clay plants, gypsum plants, turf plants, bog plants, and marsh plants. We may also consider in reference to thia v2 324 PHYSICAL GEOGRAPHY. subject the mechanical condition of the soU and aubaoU, some plants growing on hard rock ; others on fragmentary or broken rock, boulders, or gravel ; others on material in finer subdivision or sand ; and others again on tough argUlaceous rock ; while, again, there are whole tribes of plants which seem to have especial reference to cultivation, becoming so far modified by artificial culture that their true habits are rarely now to be recognised. It wiU be convenient to foUow the arrangement of Dr. Meyen (see Geography of Plants before quoted) in this part of our subject.* Sand plants, or fiint plants, are of pecuUar character in aU parts of the Earth, and the greatest number of them are probably grasaea. Amongst them are aCarex (C. arenaria), an Arundo (A. arenaria), aeveral species of TussUago and PotentUla, and several other plants usuaUy found in sandy plains, whUe one (Elymus arenarius) grows naturaUy and freely iu shifting sand hUla on the sea coaat, and ia often uaed with great advantage to bind loose sand, and prevent ita being drifted by the wind when no mechanical contrivance -wiU aerve and no other plant wUl grow upon it. Beaidea these there are aome planta confined to river aand. There are plants which are found almost exclusively in rocks, and others again, are more common on loose stones, amongst the former of which a great number of Cacti and other succulent plants in the fropics may be mentioned, together with the greater number of^ ferns, lichens, and mosses. These are found indifferently on quartz and calcareoua rock, but particular species are limited more closely in geological poaition. Gravel planta have been conaidered aa chiefiy growing on the detritna of mountaina, auch as Saxifraga rivularis, Banuncula alpestris, and B. gla- rialis, and some apeciea of Sida have been described, of^ remarkable beauty, growing on a white frachytie sand on extensive fracts in the plateaux of Peru, at an elevation of from fourteen to sixteen thousand feet. Plants growing on calcareous rocks, whether chalk or limeatone, form another group, of which the famUy Orchidece preaenfa many species. Calca reous mountains exhibit many pecuUaritiea in thefr vegetation, having for the most part few woods, but generally rather a shrubby and bushy vegetetion, and, therefore, they possesa a number of smaU planta whieh grow in the ahade of these bushes. The chalk of our own ialand is weU known aa growing a short but sweet herbage, and on the ridges of the hUls the yew and some few ©ther coniferous frees grow to large size. In addition to the plante grovring on the calcareous rocks, some are found also where gypsum forma the subaoU, but this is by no means a common condition in nature. The pre sence of magnesia in rocks is generaUy unfavourable to the growth of plants, and the rocks that are very hard and not readUy decompoaed or disin tegrated by atmospheric influence are also usuaUy barren. Mixtures of sous are often found to be most favourable for the growth of tiiose classes of plants that naturally abound on the mineral that prepon derates, but it must not be forgotten that even those plants which pecuharly belong to a soU, appear also very frequently elsewhere ; and it haa even been observed, that some which have undoubted preference for a soil of a particular nature have a much wider cfrcle of diafribution than othera which grow in common mould. Other mixtures, such as those which result in the formation of bog-earth and turf, have a peculiar vegetation, seen in those counfries where turf- moors, bogs, and marahes are frequent and extensive. The apeciea which grow on turf are diatinguished by growing aociaUy and by an exceaaive development of root. The Sphagna is an example of this, and is a plant which rarely aUows any othera to appear where it has taken up ite abode. Bog plants grow on very wet soil, and as bogs are very frequent m northern Moyou's Botanical Geography, ante cii., p. 46 et passim. DISTRIBUTION OF VEGETABLES IN SPACE. 325 counfries and in the higher parts of mountains, such plants are found on the Alps, the Harz mountains, the mountains of SUesia, the plateaux of the Andes, and in Ireland. These, however, and turf plants are often mixed, as, in fact, a smaU addition of moisture turns a turf moor into a bog, and a stUl further addition to a marsh, but aa marahea often contain sheets of water besides being permanently softer than bogs, they include also some aquatic plants and some peculiar to themselves. It is evident in aU these cases that the quahties of the soU have in many important respects a decided influence on tiie presence of certain plants and on their abundant increase. It is a singular fact, that a large number of plants seem to have attached themselves to civUized man, since they foUow his footsteps as he advances, and thus appear to exhibit a kind of domestication. The higher and more stimulating quaUty of the soUs used for the cultivation of the food plants is no doubt often the reason of this, but there are also others, and a number of species have been grouped by Schouw, one of the most eminent botanists in reference to the geography of plants, into waU-plants, ruin-plants, roof- plants, fiank-plants, and rubbish-plants. These possess habits which are at once understood by their names, and in most cases show a decided preference for artiflcial over natural conditions of existence. Certain species also appear in fixed and singularly remarkable situations, as for instance, there is an exfremely pretty fungus, which is found on and appeara abaolutely limited to wine caaks. There is also one (a Conferva) which grows on window panes, and another on paper. These habitats are remarkable as being purely artificial, and not presenting any very analogous substance in nature. 131 General Bange of Plants in various Countries at moderate Elevations. — However clear it may appear that plants are greatly affected by soU, situation, and culture, so that whUe some have naturaUy a wide range, others are limited in this respect, from causes easUy understood, it is yet equally clear, that there are other natural limits of distribution which it now becomes necessary to treat of. There are in this matter two very different clasaea of facta to be conaidered. The Heath planta, for example, occur on dry, sunny, sandy plains ; they extend from the Cape of Good Hope through Africa, Europe, and Northern Aaia, to the extreme limits of vegetation in Seandi naria and Siberia ; these plants are distributed in this great region in such a manner that South Afiica has a vast number of distinct species, of which, however, never more than a few individuals grow side by aide, whUCj.towards the north, the number of species suddenly diminishes in an important degree, the number of indiriduals increasing, tUl at last in the north of Europe a single species (the common Heather) overspreads whole countriea m millions of single indiriduals. The range of disfribution, or the area of a plant, includes aU those locahties in which planta freely grow, the expression ' natural habitat' denoting the particular station or stations to. which it has been appointed by nature. There are three ways in which we may speak of this, area — namely, in latitude or diatance from the equator towards the poles — in longitude or distance on a line paraUel to the equator — and in vertical distance from the sea level. The two former may be caUed ' distribution in horizontal space' — and the latter ' distribution in vertical space.' There is also another distri bution determined by the examination of the fossU remains of vegetables in various rocks, which as it appears to present something Uke analogous con ditions, is now known as ' aistribution in time.' In the present section we have to freat of distribution in horizontal space. The distribution of plants is chiefly regulated by that of heat on various parte of the Earth's surface ; and as this, again, has a certain relation to the paraUels of latitude, it foUows that the diatribution ia according to latitude principaUy, the longitudinal extent of the area being much leas important. The area of a plant, vrith reference to its extent in latitude, is called its ' zone of latitude,' or more simply ' zone,' and it is caUed the ' region,' when 326 PHYSICAL GEOGRAPHY. vertical range is referred to. The term zone of longitude is applied, though more rarely, to the horizontal range of plants in districts within simUar limita of longitude. The zone of every plant has a polar and equatorial Umit beyond which the plant does not appear, but those plants whose polar limits extend to extreme latitudes are exceptions to this, as weU as those whioh cross the equator, and enter the opposite hemisphere. The former are generaUy caUed polar or arctic plants, and the latter tropical plants, but tms is not quite accurate, aa an arctic plant may appear ¦witmn the arctic zone without aacending to the highest latitudes. SimUar examples might be given of tropical planta which do not reach the equator. There are many conditions, some of which we have afready adverted to, which modify and interrupt the range of particular species of plants. Thus, for example, if a plant requfre a certain degree of heat, and ite presence chiefly depends on this, it may appear in aU thoae placea which have the aame mean annual temperature, and thus exhibit a greatly interrupted range, especially when we combine vertical with horizontal distribution. The prim roses, the anemones, and the gentians, of the plains of northem Europe, re-appear in this way at a certain elevation in the Swiaa Alpa, whUe Salsola kali, having an exfraordinary and pecuUar relation to the aea coast, haa an almost uninterrupted range on the shores of most parta of the world. It is clear, also, that there is an artificial, as well as a natural, range of plants, for man is enabled to transplant many, as, for instance, the cereals and the vine, so as to have com in almost every country, whUe the grape, indigenous only within narrow Umits, is now infroduced and is cultivated to advantage in South Africa, AusfraUa, the islands of the Eastem Achipelago, and many parts of America, on the Pacific as weU as the Atlantic side. Many planta seem to grow with much more than natural luxuriance when introduced into new counfries. GeneraUy it is found that plants vrith a naturaUy wide range may be extended much farther artifieiaUy, whUe plante of limited area are generaUy spread vrith difficulty, and we may lay it down aa a role, that the range of plants is wider the lower the degree of thefr development. Thus, the Cryptogamise — especiaUy the Uchens and mosses, — and probably the Algae, are distributed uninterruptedly from one end of the Earth to the other, and of one hundred and sixty-seven plants, common to Europe and AuatraUa, as many as one hundred and twenty-two are Acotyledons, thfrty only being Monocotyledons, and fifteen Dicotyledons. On the other hand, some plants have a range aa remarkably Umited, being confined to an island or a mountain. Plants vary ao much in the extent of thefr range, that general rules can scarcely be laid down conceming them, but it has been supposed by Schouw, that in the temperate zone of the northern hemisphere, a distance of 10° — 15° is the most common breadth of the area of a plant, while the extremes do not extend more than five degrees aa a minimum and thirty as a maximum. The longitudinal extent of a zone is often much greater, since there are some planta which range as a belt round the globe. There are, however, caaea of very Umited range in thia dfrection, generaUy caused by the existence of aome natural obatacle, as a broad expanse of water, or a lofty mountain ridge. The aubject of the diatribution of planta may be dirided into two perfectiy distinct branches, one of which treate of the distribution of the forma which point out the groupa of plants, whUe the other does not inqufre conoernmg the abaolute predominance of any particular group or type, but considers the relative proportions founded on actual numbers, which any fiven group, by its number of species, bears either to the whole masa of nown plants, or to the number of^species of other groups. The former givea what may be called the Physiognomy of plants, since in it the general aspect is regarded, while the other presents the true Statistics of plants. As an DISTRIBUTION OF VEGETABLES IN SPACE. 327 example, it is weU known that a particular group of plants, such as the ferns, may determine the natural character or floral physiognomy of a countey without therefore being predominant by the number of its species, because, although in the aame country, aome other plants, such as the Composites, may exceed the ferns in the actual proportion they bear to the sum of aU the phoenogamous plants, yet a single species of fern may cover ten times more ground than all the Cfompositae together. The ferns here preponderate by the mass of individuals, not by the number of species. It is at any rate a fact, and a very important one, that plants are distributed over the Earth's surface according to certain laws, but of the tme nature of these we are not perfectly acquainted, for although we know some of the external causes which place the more developed and nobler forms of vegetation in the hot zones, we know of no cause why the same species of plants are not always produced under simUar conditions of climate. Ijius, the aingular group ofthe Cactaeece is properly pecuUar to the torrid and aubfropical zonea of America, two apeciea only having been met vrith in Asia, and none in Africa. But the form of Cactua has its representative in the Old World, for we have on both sides Euphorbice, which we should certainly consider Cacti, if we were ignorant of thefr organs of fructification. It ia equaUy inexpUcable why the Old World should possess abundance of heaths (Ericce), whUe only a representative form " (not a frue heath) comes in thefr place in America ; but these and other remarkable facts agree in showing that the greater number of famUies of plants are disfributed over the whole globe, mdiridual representatives of the groups appearing wherever a fertUe soU is exposed to Ught and afr. In the disfribution of planta, it has alao been obaerved, that the apecies of genera, as weU aa the genera of famiUea, proceed aometimea from a point, and range themaelves round it in concentric cfrcles, or spread from it like rays in various dfrections, while in other and more common cases, they are arranged in belts. OccasionaUy these methods are modified by the sooial or isolated habit of the plant, wlucb is a very important cfrcumstance in its distribution. Genera, as weU as families, attain their maximum in some one place on the Earth, and when in addition to this the number of individuals in which the genus or famUy grow is sufficient to influence the physiognomy of the flora, it has been found convenient to give a special name, generaUy formed from that of the counfry or zone. The Pahns and others are thus almost exclusively confined to the torrid zone, and are regarded there as characteristic, although species extend far to the north and south of the two fropics. When a famUy of plants predominates in any zone, either by a number of indiriduals or species, and in another zone there are only a few or aingle forma of it, the famUy ia aaid to be represented by the few species, and these are then caUed the representatives of^ the famUy. Thus, the Heaths of the Old World have thefr maximum in South Africa, but the beautiful shrubby forms abundant at the Cape of Good Hope are represented in the south of Europe by one species (E. arborea.) So the Acaciae characterise New HoUand, but one species (A. heterophylla) is the represfentative of the famUy in the Sandwich Islands, and in the form and growth of its leaves seems even to connect in the northem hemisphere two forms of prevalent vegetation in AusfraUa. If we consider the general features of the vegetation spread over the globe, or the different impressions which, at different places, it makes upon us, we shaU soon remark certain principal groups, which are more or leas clearly separated from the surrounding planta. These groups, which are distinguished by thefr peculiar physiognomy, sometimes agree also in artificial characters, and form certain genera and famUiea, but sometimes it ia the whole vegetation of the diatrict which has received a pecuUar character from the arrangement or grouping of the different forms of its plants. If we were to classify the whole maaa of vegetation according to the peculiarities in 328 PHYSICAL GEOGRAPHY. physiognomy which it presents, the classification must be twofold, both geographi(^al and botanical. When the geographical principle ia taken, we may divide the vegetation according to the countriea, or larger fracts, in which it is found, and caU such diviaiona ' Floras,' which are further designated by the names of the countriea, but such diviaiona may also be called ' regions,' or phyto-geographical kingdoms. The whole surface of the globe has been mapped out into such divisions, which we now proceed to enumerate. 132 The Botanical Begions. — Two eminent authora have suggested divisions of thia kind. The first is that of M. de CandoUe, with reference to natural stationa, and the other by Profeaaor Schouw, who haa taken tho most remarkable features of the vegetation of geographicaUy marked districts. We quote the tables as given by Professor Balfour, in his ManuM of Botany, not long since pubUshed : — PLANTS AS GROUPED ACCORDING TO THEIR NATURAL STATIONS. A. Plants growing in Water, whether Salt or Fresh. 1. Marine plants, such as Sea- weeds, Lavers, &c., which are either buried in the ocean, or float on its surface ; alao such plants as Euppia and Zostera. In the Sargasso Sea there are floating meadows of Sargassum bacciferum, gulf weed. This sea extends from 22° to 36° north latitude, and from 25° to 45° west longitude from Greenwich, an area of 40,000 square miles. 2. Maritime or saline plants. These are plants which grow on the border of the sea or of salt lakes, and require salt for nourishment, as Salicomia, glasswort, Saisola, salt wort. Anabasis. Such plants are often caUed Halophytes (sea plants). Under this head may be included littoral aud shore plants, such as Armeria, sea pink, Glomx, and Samolus. 3. Aquatic plants, growing in fresh water, either stagnant or running ; as Sagittaria, arrow head, Nymphcea, water lily, Potamogeton, pondweed, Subularia, awlwort, Uiricula/ria, bladderwort, Stratiotes, water-soldier, Lemna, duck weed, Pistia, Confence, Oscillatorice, and Ranwnculus fiuviatilis. Some of these root in the soil, and appear above the surface of the water ; others root in the soil and remain submerged ; while a few swim freely on the surface vrithout rooting below. 4. Amphibious plants, living in ground which is generally submerged, but occasion ally dry, as Banunculus aquatUis and sceleratus, Polygonum amphUnv/m, Nasturtium amphiiium. The form of the plants varies according to the degree of moisture. Some ot these, as limosella aquatica grow in places which are inundated at certain periods of the year ; others, such as Rhizophoras (mangroves) and Avicen/nias, form forests at the mouths of muddy rivers in tropical countries. B. Land Plants which root in the Earth and grow in the Atmosphere. 5. Sand plants ; as Carex arenai-ia, Ammophila arenaria, Elymus arenari-as, and Calamagrostis armaria, which tend to fix the loose sand, Plarttago arenaria, Bemiaria glabra, Sedum acre. 6. Challi plants ; plants growing in calcareous soils, aa some species of Ophrys, Orchis, and Cypripedium. 7. Meadow and pasture plants ; as some species of Lotus, bird's-foot trefoil, a great number of grasses and trefoils, the daisy, dandelion, and butter-cups. 8. Plants found in cultivated ground. In this division are included many plants which ha-ve been introduced by man along with grain, as Centaurea cyan-us, com blue bottle, Sinapis arvensls, common wild mustard, Agnstemma, com-oockle, several species ot Veronica n-ai. Euphorbia, Lolium temulentum, Convolvulus anensis, Oichorium intyhus, also plants grovring in fiUow ground, as Bumex acetosella, Cardwus nutans, Ecliiwm vulgai-e, Artemisia campestris, and Androsace septentrionalis. In this division, garden weeds are included, such as groundsel, chickweed, Lamium amplexieaule, Clienopodium vwlgare, and viride. 9. Rock or wall plants ; Saxifi-ages, Wall flower, Linaria cymbalaria, J>raba muralis, species o{ Sisymbrium and Sedum, Asplenium, Buta nmraria, and some lichens and mosses. 10. Plants found on rubbish heaps, especially connected with old buUdings, Some DISTRIBUTION OF VEGETABLES IN SPACE. 329 of these seem to select the habitations of man and animals on account of certain nitrogenous and inorganic matters, which enter into their composition. Among them may be noticed. Nettles, Pellitory, Docks, Borage, Henbane, Xa/nthium. Here, also, have been placed some plants immediately connected vrith the habitation of man, s,.ch as Racodium ceUare, a fungus found on wine casks, Conferva fenestralis, an alga produced on window panes, and Conferva dendrita, one developed on paper. Some plants, as Semperviimm tectorum, select the roofs of houses. 11. Plants growing in vegetable mould ; such as bog-plants, or those growing on wet soil, so soft that it yields to the foot but rises again, and marsh planta growing in wet soil, which sinks under the foot and doea not rise. To tbe former class belong such plants as Pinguicula alpina, and Prirrmla fa/rinosa; to the latter, such as Menyanthes, C&marum, Bidens cei-nua. 12. Forest plants, including trees which live in society, as the Oak, the Beech, Firs, &c., and the plants which grow under their shelter, as the greater part of the European Orchises, some species of Carex and Orobanche. Some plants especially grow in pine and fir-woods, as Linmcea borealis, and some Pyrolas. 13. Plants of sterile places, found in barren tracts by road sides. Thia is a hetero geneous class, and contains many plants of uncertain characters. Under it are included the plants of uncultivated grounds, as those found on moors, where Calluna vulgaris, common heather, and various Heaths, Jumper, Andromeda, and some species of Poly- trichum occur. 14. Plants of the thickets or hedges, comprehending the small shrubs which constitute the hedge or thicket, as the Hawthorn and Sweet-briar ; and the herbaceous plants which grow at the foot of these shrubs, as Adoxa, Wood sorrel, Violets ; and those which climb among their numerous branches, as Bryony, Black Bryony, Honey suckle, TraveUers' joy, and some species of Lathyrus. 15. Plants of the mountains, which De Candolle proposes to divide iuto two sections : — 1. Those which grow on alpine mountains, the summits of which are covered with perpetual snow, and where, during the heat of summer, there is a continued and abundant flow of moisture, as numerous Saxifrages, Gentians, Primroses, and Rhododendrons. 2. Those inhabiting mountains, on which the snow disappears during summer, as several species of snap-dragon, among others the Alpine snap dragon. Umbelliferous plants, chiefiy belonging to the genus Seseli, meadow Saxifrage, Labiate plants, &o. C. Plants growing in Special Localities. 16. Parasitic plants, which derive their nourishment from other vegetables, and which consequently may be found in aU tbe preceding situations, as the Mistletoe, species of Oroba/nche, Cuscuta, (Dodder,) Loranthus, Baffiesia, and numerous fungi. 17. Pseudo-parasitic plants or Epiphytes, which live upon dead vegetables, as Lichens, Mosses, &c., or upon the bark of living vegetables, but do not derive much nourishinent from them ; as Epidendrum, Aerides, and other Orchids, as well as Tillandsia, Bromelia, Pothos, and other air plants. 18. Subterranean plants, or those which live under ground, or in mines and caves, almost entfrely excluded from the light ; as Byssus, Truffles, and some other cryptogamic plants. 19. Plants which vegetate in hot springs, the temperature of which ranges from 80° to 150° of Fahrenheit's thermometer, as Yitex agnus-castus, and several crypto gamous plants, as Ulva thermalis, the hot-spring laver. 20. Plants which are developed in artificial infusions, or liquors, as various kinds of Mucor, causing mouldiness. i 21. Plants growing on living animals ; as species of Sphceria and Sa/rcirmla and various other Fungi and Algae. 22. Plants growing on certain kinds of decaying animal matter, such aa species of Onygena, found on the hoofs of horaes, feathers of birds, &c., some species of Fungi, whioh grow ouly on tbe dung of animals, and certain species of Splachn/mn, Of these groups of plants a large number were recognised by De CandoUe, the others being added by Bory St. Vincent. We next give the more generaUy recognised and more geographical divisions of Schouw, which are based on varioua observations made in many parts of the world, and agree with the conclusions arrived at by Humboldt and others, who have carefuUy studied thia important department of Phyaical Geography : — 330 PHYSICAL GEOGRAPHY. PLANTS GROUPED IN GEOGRAPHICAL REGIONS. I. The region of Saxifrages amd Mosses, or theAlpime Arctic Flora. — This region ig characterised by the abundance of mosses and Uchens, the presence of the saxifrages, gentians, the chickweed-tribe, sedges and vriUows ; the total absence of fropical fami lies ; a notable decrease of the forms peculiar to tbe temperate zone ; by forests of firs and birches, and an absence of other forest trees ; the smaU number of annual plants, and tbe prevalence of perennial species ; and finally a greater liveliness in their simple colours. This region is divided into two provinces. 1. The province of the Canoes, or the Arctic Flora, wbich comprehends aU the countries within the polar circle, with some parta of America, Kamtschatka, New Britain, Canada, Labrador, Greenland, and the mountains of Scotland and Scandinavia. 2. The province of primroses and Tampions, or the Alpine Flora ofthe South of Europe, which embraces the flora of the Pyrenees, Svritzerland, the Tyrol, Savoy, &c., the mountains of Greece, the Apennines, and probably the mountains of Spain. II. The region of the UmbeUifercus amd Cruciferous Plamts, (to which the hemlock, parsley, waUflower, cresses, &c., belong.)^These tribes are here in much greater number than in any other region ; roses, crowfoots, mushrooms, amentaceous and coniferous plants are also very numerous ; the abundance of Carices and the fell of the leaves of almost all the trees during winter form also the chief features ofthis division. It may be separated into two distinct provinces. 1. The province of the CSchoracese (including the sow-thistle, dandeUon, lettuce, &c.), which embraces aH Hie north of Europe, not comprehended in the preceding region — namely, Britain, the north of France, the Netherlands, Germany, Denmark, Poland, Hungary, and the greater part of European Russia. 1. The prorince of the Astragali and CynM-ocephxila! (to which the milkveteh, burdock, thistle, &c., belong), which includes a part of Asiatic Russia and the countries about Mount Caucasus. 'The cultivated plants include those most useful and important in the temperate zones. III. The region of the Labiates cmd CaryophyUce, (to which the pink, catchfly, sand worts, &c., belong), or the Mediterranean Flora. — It is distinguished by the abundance of the plants belonging to these two orders. Some tropical femilies are also met with, such as palms, laurels, arums, plants yielding balsam and turpentine, grasses belong ing to the genus PanicTim, or millet, and the true Cryperacece, or sedges. The forests are composed chiefly of the amentaceous and coniferous tribes, as birches, oaks, &c., the copses of Ericacece, or heath tribe, and Terebinthacece, as the mastach, &c. We meet here with a great number of evergreen trees. Vegetation never ceases entirely, but verdant meadows are more rare. Schouw dirides this region into five provinces. 1. The province of the ciatuses, including Spain and Portugal. 2. The province ofthe sage and scabious, the south of France, Italy and SicUy. 3. The province of the shrubby Labiatw, the Levant, Greece, Asia Minor, and the southem part of the Caucasian countries. 4. The Atlantic province, the north of Africa, of which he does not yet know any distinctive character. 5. "the province of the honseleeks, the Canary Isles, and probably also the Azores, Madeira, and the north-west coast of Africa. Many houseleeks and some spurges with naked and spring stems particularly characterise this province. IV. The region of the Bhamni and Caprifoliacecs, (to which the buckthorn and honeysuckle belong,) or the Japanese region. — This region is as yet too little known to enable us to determine accurately ita characteristic features. It embraces the eastem temperate part of the old continent, namely, Japan, the north of China, and Chinese Tartary. Its vegetation appears to occupy a middle place between that of Europe and that of North America, approaching more to the tropical than to the European. V. 77ie region of Asters and Solidagos, (Michaelmas daisies and golden-rods.) — This is marked by the great number of species belonging to these two genera, by the great variety of oaks and firs, the sraall number of ci-uc^erous and mnbelliferoM plants, ths total absence of the heath, and the presence of more numerous species of whortleberry than are to be met with in Europe. It comprehends the whole of the eastern part of North America, with the exception of what belongs to the first region. It has been divided into two prorinces. 1. That of the south, which embraces the Floridas, Alabama, Mississippi, Louisiania, Georgia, and the Carolinas. 2. That of the north, whioh includes the other states of North America, such as Virginia, Pennsylvania, New York, &o. VI. Tlie region qf Magnolias, comprising the raost southem parts of North America. — The tropical forms whioh ahow themselves more frequently than on a similar parallel ofthe old continent, are the chief feature in the vegetation. DISTRIBUTION OF VEGETABLES IN SPACE. 331 VII. The region of Cactuses, Peppei-s, and Mdastomas. — These families .ire here predominant, both as regards the nuniber of the speoiea and of the individual plants. It is divided into three provinces. 1. The prorince of the ferns and orchises, com prehending the West Indian Islands. 2 The province of the palms, the lower parts of Mexico, New Granada, Guiana, and Peru. 3. Brazil also seems to form a province, and may perhaps constitute a region of itself. VHI. The region of Cinchonw, or Medicinal Barks, which comprises a part of the elevated regions of South America included in the torrid zone. The Cinchonce belongs exclusively to this region and forms its principal feature. IX. The region of EscaUonias, Whortlebeiries, and Winter's Barks. — It embraces the highest parts of South America. We also meet with Alpine plants, as saxifrages, whitlow-grass, sandworts, sedges, and gentians. Perhaps also the mountains of Mexico belong to this region, although they may form a separate prorince, that ofthe oaks and firs. X. The Chilian region. — The Flora of ChiU differs essentiaUy from those of New HoUand, the Cape of Good Hope, and New Zealand, although an approach to them ia observable in the genera Goodenia, Araucaria, (Chilian pine,) Protea, Qwn/nera, and Anci^rvjm. XI. Tke region of Arboi-escent Compositce, (or arborescent plants, with flowers like the dandelion, daisy, &c.) — The great number of ayngeneaious plants, more particularly of the femily of Boopideae, forms the chief feature of this flora, which approaches in a remarkable manner to that of Europe, whilst it differs entirely from those of Chili, the Cape, and New Holland. This region comprehends the lower part of the basin of La Plata, and the plains which extend to the west of Buenos Ayres. XII. The Antarctic region, formed by the countries near the Straits of Magellan. — There is a considerable ajBBnity between the vegetation here and what is aeen in the north temperate zone. Polar forms, however, diaplay themselves in the apeciea of saxifrage, gentian, arbutus, and primrose. There is also a resemblance between tho flora of this region and those of the moimtaine of South America, of Chili, the Cape, and New Holland. XIII. The region of New Zeala/nd. — This flora, besides the plants peculiar to New Zealand, comprehends several others whioh belong to the extremities of America, Africa, and Australia, or New Holland. XIV. The region of Epacrides and Eucalypti. — It coraprehends the temperate parts of New Holland and Van Diemen's Land, Besides the two families whence it receives its name, it is characterised by the presence of a great number of Proteaceoe, myrtles, Stylideos, Bestiacece, Diosmeoe, Acacias, &c. XV. The region of Mesembryamthema, or Fig Marigolds and Siapelias. — These two genera, as well as the heaths, are very abundant here. The latter is found in greater quantity here than anywhere else. The region embraces the southem extremity of Africa. XVI. The region of Western Africa. — We are only acquainted with Guinea and Congo, the vegetation of which is a mixture of the Floras of Aaia aud America, though most resembling the former. Thia region is characterized by a conaiderable number of graases and sedges, and the peculiar genus Adansonia, the baobab, (the largest kno-wn tree in the world.) XVII. The region of Eastem Africa. — In regard to the eastem coast of Africa, our knowledge is very imperfect. The region ia chiefly distinguished by the genera Dcmais, Atribora, L>ombeya, and Senacia. XVIII. The region of the Sdtaminece (of the turmeric, cardamom, Indian shot, &c.), or the Indian Flora. The Scitaminece here are much more numerous than in America, as weU as the leguminosce, such as pease, broom, &o., cucwrbitdcew or the cucumber tribe, and tUiacece, or the lime-tree tribe, although in a leas degree. In consequence of the imperfect state of the science, we cannot subdiride this region into provinces. It comprehends India, east and west of the Ganges, the islands of Madagascar, Bourbon, and Mauritius, thoae between India and New Holland, and perhaps the fropical part of this last continent. XIX. The mountains of India ought to form one or two regions, the vegetation of whioh differs from that of the plains. These countries, perhaps, constitute one region with the whole of central Asia. XX. ITie Floras of Cochin China, Tonquin, and the north of China, notwithstanding their resemblance to that of India, present a sufficient number of peculiar indigenous plants to constitute a distinct region. XXI. The Flora of Arabia and Persia, differing from that of India and the Medi terranean, forms a particular botanical region, characterised by the numerous species 332 PHYSICAL GEOGRAPHY. of cassia and mimosa, (to which senna, the sensitive plant, &c., belong,) which are found in it. It appears probable that Nubia and a part of central Asia belong to it. Abyssinia, the elevated parts of which possess such a different climate, may perhaps form one of the great subdivisions, or even a totally distinct region. XXII. The Islands of the South Sea which lie vrithin the tropics form undoubtedly a separate region, though vrith but a slender degree of pecuUarity. Among 214 genera, 1 73 are found in India, and most of the remainder are in common vrith America. T'he bread-fruit tree is among the characteristics of these islands, although it is not confined to this region. Marine plants are also confined to particular regions, from causes analogous to those whioh limit or favour the extension of terrestrial plants. Thus, the Northem Ocean from the pole to the fortieth degree, the Sea of the Antilles, the eastem coasts of South America, those of New HoUand, the Indian Archipelago, the Mediterranean, the Red Sea, &c., present so many large marine regions, each of which possesses a peculiar marine vegetation and often characteristic plants. 133 Distribution of Plants in Vertical Space. — Juat aa the mean annnal temperature of any part of the Earth ia found to diminish as we advance from the equator towards the poles, although greatly modified in different districts from local cfrcumstances, so does it decrease regularly and rapidly as we aacend from the plaina into the higher regions of the atmosphere, so that starting from the burning heat of cenfral America, at or near the sea level, we pass quickly through all changes of temperature, tUl in a few hours' fraveUing we reach the icy region where perpetual snow and ice prevent aU vegetation. The most striking exempUfication of the mere change of tem perature is recognised in rising rapidly in a baUoon ; bnt when one ascends a nigh mountain, a simUar but more gradual decrease of temperature is observed to correspond with striking differences in the vegetation. At the foot of the mountain the plants of the plain appear ; these graduaUy vanish as we continue to mount — trees are found up to a certain height, but no further — then bushes prevaU ; after which, towards the exfreme elevations, the bushes giveplace first to herba, and at length to only a few Uchens. The traveUer who has visited the counfries to the north wUl, when ascend ing high mountains in aouthern latitudes, very soon enter regiona amongat whoae vegetation he wiU recognise northem plants. At the hmit of per manent anow on these mountaina he vriU mias but a few forma of the planta of the arctic zone, and even -wUl find identical species which do not once appesu- in the plaina in the whole apace between the arctic regiona and the aummit of those mountaina. There is therefore a certain paraUeUam between the diatribution of vege tation from the level ofthe aea to the Umita of perpetual snow, and that from the equator to the poles, although the gradual change ia far more rapid in the former than in the latter case. This pai-aUeUsm also exactiy agrees with that which we find between the gradual deoreaae of heat from the equator to the polea, and that from the plain to the limit of perpetual snow. In ascending from the level of the ocean in the temperate and frigid zonea, we find aa we riae upon the alopea ofthe mountaina that plants decrease both in the size ofthe individuals and also in thefr numerical development, whUe in the tropica the mass of vegetation is more limited in the plaina than in the lower mountain regiona. Thia ia also the caae with the greater variety of species which in common with these decrease in an upward dfrection, and the remark is applicable especiaUy to the temperate zones, since in the cold zonea the plants of higher regions" cannot differ much from thoae of the plains, becauae the snow limits have but httle absolute elevation. The distance of the Umits of trees and shrubs from the snow Une is also greater in the torrid than iu the temperate and frigid zones. In central and southern Europe the foUowing difference is observed between the flora of the plains and that of mountains of 4000 feet eleva tion. The proportion of monocotyledona to dicotyledona, which in the plains ia aa one to four, decreases with the elevation (but only on dry moimtain slopes), tUl ut the height of 8526 feet it is as one to seven, and in particular DISTRIBUTION OF VEGETABLES IN SPACE. 333 cases even aa one to nine. Moist mountain slopes, on the confrary, favour the growth of monocotyledons, as here the proportion becomea one to three. The fropical famiUes which have representatives in the plains disappear altogether in the mountain flora, and this is also the case with those famUies which have their maximum number of apeciea in the torrid zone. Examples of the first are found in the palms, and of the second in the laurels. Other famiUea which have thefr maximum in the torrid and diminiah in the tem perate zone, exhibit thia decreaae stiU more on the slopes of mountains, as exemplified in the Leguminosce and Euphorbiacece. Among the famUies which have thefr maximum in the temperate zone, there are many that undergo but little change with increased elevation, aa the weU known famiUea Composite, Crucifera, Umbelliferce, Bosacete, and othera ; whUe some famUies decrease both towards the poles and the snow line in vertical space (e.g. Liliacece, Ldbiatce, Sfc); and others, again, appear as subordinate groups, vvhich have thefr maximum in the higher regions. In some caaes the proportion becomea greater with increased elevation, as seen especiaUy with the saxifrages, mosses, and Uchens. In the European Alps the Composites, from the number of species, are the prevailing family ; after these foUow, in nearly equal number, the Cyperacece, Alsinea, Graminece, Cruciferce, Leguminosce, Bosacete, Saxifragece, and Umbel liferce; but the maaa of vegetation is formed bythe Catkin-bearing plants (Amentacece), fhe grasses, and the genus Bhododendron. As characteristic marks of the Alpine fiora may be noticed, first, that the number of annuals is very smaU ; second, that the fiowers are of great size in proportion to the whole plant ; and thfrd, that the colour of the fiowers, and mdeed of the entfre plants, is brighter and purer than in the plains. Alpine plants afford more nourishment to cattle than thoae grown on plaina, and planta with thorns or very hairy plants are seldom found in the Alpine regions. On ascending a mountain in the torrid zone, aa in the Cordillera ofthe Andea, the tropical fanuUea diaappear altogether at the height of about 7000 feet, or at leaat become repreaented by aingle apeciea ; the number of species graduaUy decreasing, and those of famUiea which attain thefr maximum in temperate zones replacing them and increasing with the height. Thus of 327 genera, to whioh the plants on the declirity of the Andea at a height of 7800 feet and upwarda belong, aa many as ISO, or more than one-half, are common to the temperate zone. As, therefore, the physiognomy of the vegetable kingdom is characterised by certain plants in the different latitudinal zones from the equator to the poles, so is it also in the vertical dfrection in the mountain regions which correspond with the zones; and proceeding from the vegetation of the equatorial zone, we foUow the series of vegetable regions in ascending Unea one after the other, and may compare them with the different zonea as foUows : — 1. Region of palms and bananas . . Equatorial zone. 2. Tree fema and figs Tropical zone. 8. Myrtles and laurels ... . Sub-tropical zone. 4. Evergreen trees Warm temperate zone. 5. European trees Cold temperate zone. 6. Pines Sub-arctic zone. 7. Rhododendrons ...... Arctic zone. 8. Alpine plants Polar zone. This table ahows that each of the zones of higher latitudes possesses a region less than that which precedes it, but it must also be understood that many modifications occur in nature in particular locahties. Thua the limit of frees in the equatorial zone, in the Andes of Quito, is marked by an Escal- lonia (not a Conifer), whUe in the temperate zone, in the Himalayana, the oak is the last tree at 11,500 feet above the sea on the south side, and the birch 334 PHYSICAL GEOGRAPHY. the last on the north side at 14,000 feet. SunUar exceptions occur with regard to the limit of shrubs.* 134 Bange of Cultivated Plants. — Several natural famiUes and many genera and species of plants bear so dfrectly on the habits and even existence of man in the counfry where they abound, that the subject of cultivated plants becomes of great interest in a treatise on Physical Geography. The plants of this kind resolve themaelvea into about five groups, which we wUl now con sider separately. They are (1) the cereals, (2) the tuberous roots, (3) the treea bearing food, (4) the planta used in the preparation of luxuries, and (5) the plants used in the manufacture of various articles of clothing. The CbeeaIs include a number of cultivated grasses bearing grain, of which wheat, barley, rye, oats, rice, maize, mUlet, buckwheat, &c., are in various countries the chief food of man. Of these the firat four are generaUy used in Europe, rice in Asia, maize in America, and mUlet in Africa. The culture of Wlieat ia carried on in every quarter of the globe, from latitude 60° to 64° in Europe to the torrid zone, and even at tbe equator at an altitude of about 3000 feet. Its vertical limits in South America are between 3600 and 10,000 feet, the grain being exteemely productive at moderate altitudes in hot counfries. In the middle of the temperate zone, as in Erance, its cultivation is not successful above 5400 feet. The productiveness in cold countries with indifferent cultivation is not more than five or six fold; but in Hungary, Croatia, and Sclavonia, it is from eight to ten fold ; in La Plata twelve fold ; in the north of Mexico seventeen fold, and in the equatorial parts of the same counfry twenty-four, and even in favourable seaaona thirty-five fold. Aa instances of extraordinary productiveness, Humboldt mentiona an inatance in Mexico of wheat planta sending up forty, sixty, and even seventy stalks, the ears of which were ahnost equaUy weU fiUed, and contained from 100 to 120 grains each. The other grains of Europe, barley, rye, and oate, are only cultivated as bread corns in the northern and colder countriea. In Seandinaria, harlev extends to 70° north, rye to 67°, oata to 65°, wheat not being cultivated with profit above 62°. So alao these other cereals are grown at higher elevations than wheat, barley being cultivated in Peru for fodder, at the very exfreme elevation of 13,800 feet above the sea. There is much doubt as to the native counfry of the cereals. It haa been suppoaed that wheat growa wUd in Aaia Minor and Persia, and barley in the north of Africa — perhapa Egypt. Oats do not appear to have been used by the ancients, but though they have been recently introduced aa cultivated grain, thefr native habitat ia exfremely doubtful. Bice probably supports a larger number of persons onthe Earth than any other single article of human food, as its use is universal in eastem and southern Aaia, and it is common in the north of Africa and the aouth of Europe, besides being now extensively cultivated in North America. There are two varieties of this vegetable, one growing on mountain alopes, and the other in swamps ; and of these, the latter, the most common, and also the moat productive, yielding one hundred or one hundred and twenty fold, and in aome places even four hundi-od fold ; whUe the mountain rice does not produce more than forty fold when grown continuaUy on the same ground, or eighty fold on newly prepared spota. This kind, however, though leaa rapidly increased, is more esteemed and more valuable, inasmuch aa it may be Kept longer without apoiUng. Maize is indigenous only in Ameriea. aud thrives best in the hottest and dampest fropical cUmates, yielding in some cases aa much as eight hundred fold, and in leas fertUe lands three hundred or four hundred fold; while one hundred fold is regarded as a poor crop in fropical countries. • Johnston's Physical Atlas, • The Geoginphical Distribution of Plants." DISTRIBUTION OF VEGETABLES IN SPACE. 335 though in the temperate zone, as in CaUfornia, it does not produce more than seventy fold, and m stUl colder counfries the yield ia stUl smaUer. Maize haa been introduced into Asia, and its growth had spread over India, China, and Japan very many centuries ago. _ It is not, however, so favourite a food as rice. In America, the vertical Umits of its growth arc very high, as it has been actually cultivated artifieiaUy at an elevation of 12,800 feet, and Humboldt describes vast maize fields on the plateau of Mexico 8680 feet above the sea. Turkey millet or Negro-corn is also a grain of hot countries, much grown in the East Indies, and ranging to very conaiderable heights. Its hmits in " other reapecta are not accurately determined. Thb Tubesous Boots. — Of these, tho potato is beyond doubt the best known, and most vridely spread in temperate cUmates. It was infroduced about 260 years ago from America, (where it appears to be indigenous in the cold regions, at considerable heights on the Andes,) and vrithin a very short space of time ite cultivation haa extended over the whole of Europe, up to latitude seventy-one degrees north, and has reached the lower plains of India, China, and Japan, the South Sea Islands, AustraUa, and New Zealand. The frue native country and natural Umits of thia uaeful food plant are not accurately known ; but it is supposed not to be indigenoua in North America, whence it waa firat brought to Europe. It is to this day chiefly and most carefuUy cultivated in South America. The Arum or Taro, as it is caUed in the Sandvrich Islands, is an exfremely important tuberous root, cultivated -with extraordinary care in the hottestpart of the torrid zone, and ranging now in the East Indies and China, in the W eat Indies, in Africa, and at aeveral points in the continent of America. The tube of this plant, which requires almost more than any other the intense heat of a vertical sun to ripen it properly, attaina the aize of a chUd's head, and is very delicate in flavour. It requfres much moisture, and is Umited in vertical disfribution to about 1000 feet above the sea. The Manioc, from which ia made Casaava bread, ia another important fropical food plant, cultivated in America, where it ia probably indigenoua, and alao in Guinea. Tapioca is made from this plant. The Batata, the Tam, and some otber tuberous roots, are very exten sively used for food in aU parts ofthe torrid zone. Yams have been recorded to weigh as much as 474 pounds, being nine and a half feet in cfrcumference, but the usual dimenaiona and weight are very much amaUer. The Food-beaeing Eeuit Tebes. — Of these, the Bread-fruit is one of the most important, but ia confined to the torrid zone, and chiefiy abounda in the islands of the Indian Archipelago and the South Sea. It has never been observed in the vrild state. It is the fruit of this tree that fumiahes food, and the fruits are very abundant during eight or nine months of the year, the dried and prepared bread made from them lasting during the rest of the year. Each fruit is round, and often of considerable size ; it is generaUy plucked when unripe, and ia peeled, wrapped in leaves, and baked. The Plantain or Banana yields another exceedingly common and most nutritioua food to the inhabitants of fropical countriea. Several species ofthe genua Musa produce, however, fruita that receive this name, and aU of them are occaaionally cultivated, the process of culture being exceedingly simple, and merely consisting of the removal of the old trunks Mter they have borne fruit. The plantain ranges very vride, and it is doubtful whether its native country is in the Old or New "World, or whether some species are not indigenous in both. In the plains it can be cultivated as far as thfrty degrees, or even thirty -five degrees of latitude, and on the mountaina some species reach nearly 3000 feet above the sea. According to Humboldt, the banana yields in a given extent of ground forty-four times as much nutritive matter aa the potato, and 133 timea as much aa wheat. 336 PHYSICAL GEOGRAPHY. The Cocoa palm is an mhabitant ofthe coast, and is incredibly abundant in the South Sea Islands, and those of the Indian Archipelago, nearly three miUions ofthe nuts having been exported in one year from Ceylon alone, where, indeed, there is a forest of cocoa palms several leagues broad, sfretching along thecoast for twenty-six mUes, and containing eleven milUons of fuU-grown frees. Each tree wUl bear from 200 to 300 nuts in the year, and wUl Uve for nearly a century. The limits of growth of this palm are about twenty-eight degrees of latitude, and a height of about 2000 feet. The Date palm is another free belonging to the same famUy, and its fruit *is also extensively used as food. It ia indigenoua in the north of Africa, in Aaia Minor, and Arabia, and haa been transported as far east aa Batavia. It will grow in Italy, in latitude forty-four degrees, and in SicUy te the height of 1700 feet, but is not there fruitful. In Arabia and Egypt, it affords the chief food of the inhabitants. The Sago palms, of which there are several, are confined to the Eastern Archipelago, and the palm which auppliea the large quantity of palm oil used in commerce to the coaat of Guinea. Other pahns are useful for various purposes of luxury, but not aa principal articlea of food. The Olive is a most valuable plant, growing in South Europe, between the Umita of forty -four and a half degreea, and thirty-six degreea north latitade; but it cannot endure severe winters, and thua cannot be generaUy grown at conaiderable elevationa. In warmer cUmatea than thoae of Europe, it appears to grow more luxuriantly, and haa been introduced with succeaa into America. It la alao grown in many parta of Mexico. The Chestnut spreads over the whole south of Europe, but finds its true home in the warmer part of the temperate zone. It reaches eastwards to China, and thua eroases the Old World from Spain to the Pacific. By art the chestnut has been induced alao to grow north of the Alpa, and ia now found in northern Germany and England. Many other freea aupply fruite occaaion ally used as the food of man, but they do not form a supply on which he can safely and constantly depend. Food-Plants used as Luxtteies. — Of these the Sugar cane ia, perhaps, the most important. Indigenous in the Old World and cultivated in China and the eastern islands before the historical era, this valuable plant was introduced into America by the Spaniards about the year 1520, and since then has been greatly cultivated in the fropical islands of the West Indies, and also on the mainland. The tract vrithin which it can be cultivated sfretches far beyond the tropics, reaching even to the latitude of South Europe, and in Mexico and Columbia it may be grown at the height of 6000 feet on the warm mountain slopes. It is understood to succeed best with a mean temperature of 76° or 77 , but wUl grow with advantage when the temperature is not below 67° or 68°. The total amount of sugar produced was calculated in 1833 to exceed 600,000 tons. There are several varieties of the sugar-cane, and the raw cane when ripe is much used as food. The Tea plant is another of those shrubs which have become highly important, but this is owing to the presence of a stimulant rather than any nutritive quality. China la the native counfry of thia plant, and it there extends as far north as 40°, growing also in the mountain diafricta to the south, particularly on those mountains whioh separate China from the Bfrman empfre. The British territory in North Ijidia, eapeciaUy Aaaam, has alao been found favourable to the growth of tea, and indeed it seema to flouriah throughout the sub-fropical zone in the eaatern part of the Old World. Coffee, a very important substitute for tea in various countriea, is more tropical in ita habita than tea, but admits of great range artificially, whUe mate, or Paraguay tea, serves as the substitute in BrazU and many pai-ts of South America. The F«»e ia a plant which has been employed by man in the manufacture of a spirituous liquor frora the very earliest period, and has been so long DISTRIBUTION OP VEGETABLES IN SPACE. 337 cultivated and so widely fransported artificially, that its native station ia not certainly known, nor can it be distinctly made out, whether all the varieties now used (aa many as 200 mi^t be enumerated) have been derived origmally from one or aeveral distinct apecies. We have already had occasion to speak of the limits of culture of the rine, which is regulated much less by mean temperature than by summer heat, but it is chiefiy the duration of the summer that infiuences the ripening of the friiit. ExceUent wine is made with a mean temperature 60 Fah. and it is probable, that if damp and too much moisture are avoided, every greater heat wUl also succeed. Although the Old World is the natural habitat of thia plant, it haa been introduced into America, and flourishes on both aides of that Continent, and in both the northern and southern hemisphere, wherever the Umits of temperature and dryness are obtained. Ita polar limits may be considered to be between 49 and 55° in the northern, and about 40° in the southem hemisphere. Tobacco, the Betel nut, and Opium are aU very important and very widely spread vegeteble productions, used in various parts of the world for thefr stimulating and soothing properties. The former seems to have been known in China long before its introduction into Europe from America, and several species are determined rangmg even as far as 55° N. lat. and grown very extensively in various parts of cenfral Europe, while a large quantity is also cultivated in New Zealand. The largest quantity and best kinds of this plant aregrown in hot countries, especially in the tropical parts of America and the West Indian Ialanda. The betel nut, obtained from the Areca palm, and uaed with what is caUed the betel pepper, is employed in the same manner on the shores of eastern Asia, and in the varioua islands of the Indian Archipelago. Opium, again, is very largely used for simUar purpoaea by the Turka, Malays, and Chineae. Some idea may be formed of the extent to which it ia grown, from the fact that in fourteen years, from 1818 to 1831, above fourteen milUona of pounds weight were conveyed into China through Canton alone, besides an enormous quantity consumed by the Malays, the inhabitante of Cochin China and Siam, as well as India and Persia. Plants used in Clothing. — ^Besides the food plants there are others alao greatly modified by civilization, and conveyed by man to distant parta of the Earth, but only becauae from them he is enabled to derive a portion of the clothing which he requirea to shelter him from cold, and enable him to withstand the rigoura of winter in most parts of the Earth. The Cotton plant and Hemp are the plants moat important in this respect — the former, however, being the moat widely apread, and perhaps the most useful, is that which deserves chief attention. Not only is the cotton plant cultivated in the fropical parts of every land ofthe Old and New World, but it extends far beyondTthe fropica even to countriea whoae mean temperature ia not more than 62°, reaching thua the most southerly parte of Europe. The number of species of the free is, however, large, and no doubt various species are indigenous in different locahties. As to the quantity suppUed, some idea may be formed from the statement that England is estimated to consume annuaUy three hundred millions of pounds. The hemp is also a plant of vast importance, and although its growth is greatly extended by culture, there can be Uttle doubt that it is capable of much farther increase, if it were not that other plants in different countries supply the aame material. Thua, in New Zealand a large and handsome reed (Phormium tenax) yields fibres capable of being spun into fine thread, and also made into the stoutest cables. 135 General Considerations of the Bepresentation of Plants in distant Botanical Centres. — The general laws of nature as derived from the observa tion of a vast multitude of facts connected with the distribution of vegetables seem to he— first, that certain districts originate distinct groups of plants which are capable of a wide range, although the actual extent of the range, both in apace and time, is dependent on various external circumstances, Z 338 PHYSICAL GEOGRAPHY. Such places are technically caUed ' specific centres.' Secondly, that in similar cUmates, whether in the same hemisphere at the same level or otherwise, there are either individuals of the same species, if circumstances have been favourable for their transport, or else that the species resemble each other so manifestly, as to be m a proper and simple sense ' representatives.' Thirdly, that in placea not aeparated in latitude by any distinct natural barrier, such as a lofty mountain chain or a broad tract of sea, and situated in very different climates, and in different latitudes, there ia a graduated transition from the flora of one district to that of another, generic forms lingering much longer than specific, and whole famUies being rarely obliterated till after a long series of changes. For placea situated at very difi'erent levels the same observation is true, and the aame law holds good, as is iUustrated in the existence of palms and other fropical forms of vegetation far north and south of the fropics, on the one hand, and far above the ordinary Umits we might have anticipated (judging only by temperature), on the other. Fourthly, tbat in spite of the usual absence of identical species in diatricts removed by a lofty chain of mountains, a broad fract of ocean, or a complete zone of temperature, there are some apeciea which cannot at aU be diatinguiahed from each other in the fioraa of the arctic and antarctic zone — ^in those of New South Wales and north Europe, and in those of tropical Africa, Asia, and America. The rarity of such instances is not to be taken as any explanation or solution of the difficulty, for, if pos sible, it adds to it, nor has anything yet been suggested which reaUy and importantly bears on the true question at issue. The cases of exception to the general rule alao are of a nature which rather increaae the puzzle, since in large intermediate areaa certainly capable of supporting a particular kind of vegetation, the expected planta are not found, notwithstanding that at the two exfremities some common species appear. It is perhaps only when we study carefuUy the disfribution in time, that these apparent anomalies cease, and resolve themaelvea into the working out of one far more general and important law, according to which the succession of races as weU as any single race ia arranged, and the peopUng of the world with an infimte but harmonious variety, which shaU exhibit mutual relations throughout aU time, is fuUy provided for. We have chiefly dfrected attention in these observations to the physio gnomy of plants, but the study of thefr statistics would lead to the same or nearly the same conclusion, though perhaps by a different path. In what ever way vegetation is considered, it is found to be distributed according to these or similar laws, and tending to bring out analogous results.* " Of somewhat more than 20,000 species of plants catalogued in De Candolle's Prodromus, It appears that 3210 are European; 6004, Asiatic; 3731, African; 2111, North American; 6742, South American ; and 922, Australian, The island vegetation in each case is included in the list for the adjoining ma<-land. OOi) CHAPTEE XI. THE DISTRIBUTION OP ANIMALS IN SPACE. {136. Organization of animals. — 137. Classification of animals. — 138. Statistics of animals. — 139. Nature and degrees of resemblance amongst animals, and comparison of their struc ture. — 140. Natural grouping of animals in a Fauna. — 141. Distribution of the Faunas. — 142. Arctic Fauna. — 143. Temperate Faunas. — 144. Tropical Faunas. — 145. Special dis tribution of Quadrumana. — 14G. Distribution of Carnivora. — 147. Distribution of Bodentia. — 14S. Distribution ot Ruminantia. — 149. Distribution of Pachydermuta. — 150. Distribution ot the Edentata a.nd Marsupialia. — 151. Distribution ot Jiirds. — 152. Distribution ot Rep tiles. — 153. Distribution of the Jlfarme Vertebrata. — 154. Distrihation ot the Articulata. — 155. Distribution ofthe Mollusca and Radiata. OBGANIZATION of Animals. — Animal Ufe presents many points alto gether pecuUar, and exhibits forms of organization not leaa different from those afforded by plants than are seen in the latter when they are com pared with inorganic subatancea. It wUl, therefore, be advisable briefiy to conaider the more essential of theae before proceeding to the subject of the diatribution of animals in space, and it is desirable to determine, as far aa possible, the aimpleat forma of animal Ufe, and their relationa with organic matter of greater complexity, and with inorganic bodies. The greater part of the atmcture of animala consists of tissues, of which fibre ia the elementary form. There are two kinds of fibre, muscular and nervous, the one forming the flesh, and the other the brain, the spinal chord, and the nerves ; and in the more highly organized forma aeveral others occur, serring for varioua important purposea. In animala of lesa complicated structure, as in some of thoae caUed ' polypi,' and in infusorial animalcules, there are, however, myriads of individuals made up of nothing but ceUs in contact vrith each other. The structure of animala ia, in all the higher groups, so manifestly different from that of vegetables, that it would seem superfluous to allude to the points of distinction. The old definition, that minerals increase only by mechanical additions, whUe vegetables live, and animals Uve and move, is not, indeed, aufficientiy accurate, since plants are sometimes endowed with a kind of instinct, and an appearance at least of voluntary motion, and animals, on the confrary, are sometimes almoat without either instinct or the power of moring at wiU. In proportion aa- we deacend to the lower forms of each, and compare them together, we find the differences leaa marked, ao that it becomea at length difficult to pronounce whether an object before us iia animal or plant. Thus, the sponges have ao great a resemblance to some of the polypi, that they have generaUy been classed with animals. Animals and planta differ in the relative predominance of the elements, oxygen, carbon, hydrogen, and nitrogen, of which they are composed. In vegetables hardly a trace of nitrogen is found, except in seeds and aome special producta, but it enters largely into the composition of animal tissues. Another peculiarity of animals is the presence of limited cavities for the reception of certain important organs, such as the skull and cheat in higher animals, and the abdomen in ahnost all. The possession of a digestive carity involves marked differences between the two grand divisions of organic nature, for in plants the fluids absorbed by the roots are conveyed to the whole plant, by means of the trunk and branches, before they oan reach the leaves, where they are to undergo a process analogous to digestion; while, z 2 340 PHYSICAL GEOGRAPHY. on the contrary, the food of aU animals passes at once into the digestive cavity, and ia there elaborated into fluids, which being afterwards cfrculated through the body, are in a condition to be at once separated by the proper organs, and appUed to the requfred purposes of renovation or increase. Plants commence thefr existence uauaUy from a aeed, but admit alao of increase by varioua meana of mechanical division, having reference in all caaes to the original nature of leaves as individuals of compound bodies. Animds are developed from an egs, the animal germ being the result of successive transformations of the yolk, whUe nothing simUar takes place in plants. The subsequent development of indiriduals is also different in the two kingdoms, as to method, form, and dimensions; the two latter varying during the whole Ufe of the plant, but attaining a limit in the caae of each speoiea of animal, eapeciaUy m those of complicated organization. In the effects they produce on the afr there is also an important difference, since animals consume oxygen and give off carbonic acid gas, whUe plants reverse the process, absorbing carbonic acid gas and giving off oxygen. If an animal, therefore, be confined in a small portion of afr, or if of aquatic habits, in water containing afr, this soon becomes so vitiated by respira tion as to be unfit to sustain life; but if Uving planta are confined with the animal at the same time, the afr is kept pure, and no difficulty ia expe rienced. This, at least, is the case by day, and the practical effect of flie compensation is very important, vegetation restoring to the atmosphere what is consumed by animal respfration. Lastly, aU animals have, more or less distinctly, voluntary motion and sensation, whUe planta, although endowed with a certain aensibUity, appear to have neither true aensation nor actual voUtion. Life in anuMls ia manifested by two functions instead of only one, as in vegetables, and the organs of animal Ufe which involve the posaession of a certain amount of intelUgence, relation, and aelection, which enable us to approach at wiU our feUow-creatures, to perceive their existence and act accordingly, are quite distinct from those which merely affect the functions of vegetable hfe, such as nutrition and reproduction. To underatand the development of animala and the facte of chief unpor- tance in thefr stracture and mutual relations, we must conaider a Uttie their different organa and functions, and as the possession of a nervous syatem is at once the characteristic of aU animals, and the function whioh, when preaent m its highest form, ia the mam cauae ofthe vast difference of mteUectoal and reasoning power traceable between species and famiUea, this must first be discussed. ¦ I'^^j'^j® appear to be ui nature four prmcipal types -withm which may be included aU the varieties presented of this most important and essential characteristic of animal organization. Theae aie— first, that in which the nervoua ayatem la grouped into two principal masses, the brain and the spmal marrow; secondly, where it is coUected into a series of smaU gangUa. knots, or smaU brains of nervous matter, placed at mtervals beneath tiie aUmentary canal and connected by threads, and a somewhat larger ganglion placed above the oesophagus; thirdly, where the nervous matter is collected in a single gangUonic circle, the prmcipal sweUings of whieh are placed symmeta-i- cally above and below the oesophagus, and whence the filaments which supply the organs in different dfrections take thefr origin: and fourthly, ¦where the nervous matter is distributed in a single ring encfrchug the mouth, disposed in a horizontal position and in a stariike form. The first tvpe includes aU animals called vertebrated, or having a back-bone; the second, the insects, cruataceans, and other animala, whose body is made up of rmgs or portions nearly detached; the thfrd, all animals such aa those mhabiting univalve and bivalve shells, (the moUusks, or soft animals, as they are called ;) and the fourth, the star fishes and other radiated anUnals. Ihe nerves, thus important in communicating to the animal all impres- siona from without, are usually so arranged as to render particular organa DISTRIBUTION OF ANIMALS IN SPACE. 341 acutely perceptive to what are caUed the senses, which are recognised as five in number, under the names, sight, hearing, smell, taste, and touch. The impressions communicated in this way produce voluntary or involuntary results, chiefiy acting on the other functions of the body, of which the organs of locomotion, or prehension, and of mastication and digestion, are the most prominent. Nutrition is a function absolutely essential to the continuance of Ufe, and involves a continual interchange of substances between the animal body and the external world. ' In early Ufe, during the period of growth, the amount of substances received is greater than that which is lost. At a later period, when the growth is completed, an equilibrium is estabhshed between the matters received and those rejected; while at a stUl later period, the equi hbrium is again disturbed; more is rejected than retained; decrepitude begins, and at last the organism becomes exhausted, the functions cease, and death ensues.'* The reproduction of animals is not less necessary for the continuance of the race than nutrition is for that of the individual. It is effected in plants, as we have aeen, by the modifications of what appears to be part ofa sim^e body, but is really an individual member of a highly complicated one. In animals it is almost universaUy accomplished by the asaociation of individuals of two kinds, males ani females, each characterised by pecuUaritiea of structure and external appearance, and both necessary for the production and proper fertilization ofthe germ ofthe future individual. All animals are produced fi-om eggs, and when enveloped in this way are called embryos — the period passed in this condition being caUed the embryonic period. Eggs are usuaUy oval or spherical in shape, and are contained in the body of the female in sacs called ovaries, being at that time of very minute size, and merely consisting of Uttle ceUa containing what is caUed yolk or yolk-substance, with other simUar ceUs, namely, the germinative vesicle and the germinating dot. The number of eggs is large in proportion as the animal is of lower organi zation ; thus the ovary of a herring contains more than 25,000 eggs, whUe that of birds does not- contain more than one or two hundred, and the higher mammaUa produce only one at a birth. At a certain period the eggs leave the ovary, and being fertUized are either discharged by the animal (laid), or else remain vrithin the body tUl the young is fuUy developed. Animals in which the former habit ia usual are called oviparous, while those which produce living young are said to be viviparous, or in some cases ovo-viviparous. The formation and development of the young animal within the egg is a moat mysterious phenomenon, and the changes undergone differ materially in the various natural groups of animals. In some animals, there are inter mediate conditiona between the embryonic and perfect atate, but generaUy, and indeed invariably in the more highly organized groups, the young as it emerges from the egg, or is bom, possesaea the external form and habits of the species. The metamorphoses in the exceptional cases are sometimes extremely curious, and thefr cause very difficult to comprehend. 137 Classification of Animals. — In considering the arrangements of the nervous system we have seen that four important distinctions can be drawn amongst animala, and theae point to a natural diviaion into four departmenta, which are generaUy caUed, reapectively, I. Veetbbeata ; II. Aeticulata ; III. Mollusca; IV. Eadiata. Of these the vertebrata are conveniently grouped into four classes, which aU have an intemal skeleton wdth a back-bone for its axis. The classes are 1. Mammals (animals which suckle thefr young); 2. Birds; 3. Beptiles ; and 4. Fishes. These divisions are aU so well known and so natural that they • Principles of Zoology, by Agassiz and Gould, (Boston, 1848,) p. 72. 342 PHYSICAL GEOGRAPHY. requfre no special description, but thefr subdivisions are alao important. The most convenient arrangement is perhaps the foUowmg -. CLASS MAMMALIA, (QUADRUPEDS AND BIPEDS.) Oedbb. Example. I. BiMANA (two-hamded) . . II. QuAnKCMANA (fowr-handed) III. Chikoptera (finger-winged) IV. Insectivoba (insect-eating) . V. Plantiqeadb Cabnivoea VI. Dioitigeaub Cabntvoba . VII. AMPmsiA (aquaMc mammals) VIII. RODENTIA (gnawing) . . . IX. Rdminantia (ruminating) . X. Paohydeemata {thiclc-skimned) XI. Edentata (toolhless) . . . XII. Mabsdpiata (pouched) . . Man.Monkeys. Hedgehog. Bear, Badger. Cat, Lion. Whale, Porpoise, Seal. Rat, Hare, Squirrel. Ox, Sheep, Deer. Elephant, Rhinoceros, Pig, Horae. Sloth, Ant-eater, ArmadiUo. Opossum, Kangaroo. CLASS AVES, (BIRDS.) I. Raptoees (birds of prey) . ¦ ¦ Vultures, Hawks, Owls. II. SOANSOEES (climbers) Cuckoos, Woodpeckers, Goatsuckers. III. OsoiNES (songsters) Sparrows, Linnets, Crows. IV. Gallinace^: (gallinaceous birds) . Pheasants, Fowls, Pigeons. V. Geallatobes (waders) .... Herons, Bitterns, Plovers. VI. Natatoees (swimmers) . . . Geese, Divers, Gulls. CLASS REPTILLi, (BEPTILES.) I. DiNOSAVRiA* Megalosamrus, Iguamodem. II. Enaliosavria* Ichthyosaurus, Plesiosam-us. III. Ceooodllia Crocodiles. IV. Laoebtilia Lizards. V. Pterosauria* Pterodactyl. VI. Cheloota Tortoises, Turtles. VII. OPHmiA Serpents. VIII. Batbaohia Frogs. CLASS PISCES, (FISHES.) I. GANOin (scales splendent) . . Sturgeon. II. PLACom (scales plated) .... Sharks and Rays. III. CTENoro (scales comb-shaped) . . Perch. IV. Cycloid (scales cii-cular) . . . Cod, Herring. The Aeticulata are divided conveniently into three classes — 1. Insects; 2. Crustaceans ; and 3. Worms. The Mollusca also into three — 1. Cephalo poda (having locomotive and prehensile organs ranged round the mouth) ; 2. Gasteropoda (creeping on a flattened disc or foot); 3. Acepliala (having no distinct head, and enclosed in a bivalve sheU). The Eadiata again are divided into three classes — 1. Echinoderms (bearing spines on the external surface, like the sea-urchins) ; 2. Acaleplie (jeUy-fish, often stinging Uke nettles, aa the medusae) ; 3. Polyps (fixed like plante, and vrith a series of fiexible arms round the mouth — often compound) . The fiirther subdivisions it is not necessary here to discuss. The technical or natural history names of animala, aa of plante, are composed of two terms, one generic, including a considerable variety of structure united by some marked and important characteristics, and the other specific or trivial, forming an adjective or qualifying addition to the generic designation. Several genera combined together (possessing aome characters in common) are caUed a family — famiUes are combined to form • Those orders and genera of which the names are printed in italics, ai-e uotuow represented on the Earth by any existing species. DISTRIBUTION OF ANIMALS IN SPACE. 343 orders, and ordera form classes; the various divisions corresponding to which names we have afready enumerated in the preceding page. Since the specific name is the ultimate point to which we arrive in classi fying, it is important that every one should have a clear idea on this subject. A Genus is generaUy founded! on some diatinct pecuUarities of anatomical stmcture ; such as (in the case of a Vertebrate) the number, disposition, and proportiona ofthe teeth, clawa, fina, &c.; whUe a Species dependa on characters which are aometimes external, aometimes apparently tririal, but whioh are always supposed to be sufficiently real to prevent accidental admixture of race. There is also recognised another and a lower distinction, that of Variety, which, unhke Species, includes apparent and possible mixtures of race. It has been usual to consider that nature has set a broad and marked barrier between speoiea, not aUowing of any infraction, but this appears to be in reaUty a some what arbifrary assumption, although there ia no doubt that the production of varieties from what are generaUy regarded as distinct species is rarely effected, except under the influence of exfraordinary external circumstances.* The real difficulty in the caae of animala, aa in planta, arises from an occasional interference with what appeara at firat to be an universal law, that of the production of aimilar types in parts of the Earth widely removed, but of similar climate. We shaU have occasion to revert to this part of the subject. We quote the foUowing from the introduction to a work afready referred to (Agassiz and Gould's Principles of Zoology) as fitly concluding tms section, by stating what is most requfred of the elements of Zoology for the purposes of Physical Geography : — ' Eor each of these groups, whether larger or smaUer, we involuntarily picture in our minds an image made up of the fraits which characterise the group. This ideal image is caUed a Type, a term which there is frequent occasion to employ in speaking of the Animal Kingdom. Thia image may correspond to some one member of the group, but it is rare that any one roecies embodies aU our ideas of the class, f'amUy, or genus to which it belongs. Thus we have a general idea of a bird, but thia idea does not correspond to any particular bfrd, or any particular character of a bfrd. It is not precisely an oafrich, an owl, a hen, or a sparrow ; it is not because it has wings, or feathers, or two legs ; or becauae it has the power of fiight, or buUds nests. Any or aU theae charactera would not fully represent our idea of a bird, and yet every one has a diatinct ideal notion of a bird, a fish, a quadruped, &c. It is common, however, to speak of the animal which embodies most fuUy the characters of a group aa the type of that group. Thua we might, perhaps, regard an eagle as the type of a bird, the duck as the type of a swimming- bfrd, and the maUard as the type of a duck.' 138 Statistics of Animals. — It ia not poaaible to appreciate the importance ofthe subject we are now considering, either with reference to the grand featares of general Zoology, or the detaUs concerning the diafribution of animala, vrithout some reference to actual statistics. It is not enough to regard nature generaUy with admfration, or even to study carefuUy som.e detached points — we must also become acquainted vrith tiie extent of material for observation and learn the tme spirit that animates the whole. ' We must acqufre a proper conception of the varied affinities which combine beings together, so as to make of them that vast picture in which each animal, each group, each class has its place, and from which nothing could be removed without desfroying the proper meaning ofthe whole.' It is only withm a short time that Zoology has so far extended itself as to become fafrly beyond the grasp of any single individual. A century ago, the number of known animals did not exceed 8000, and thus fewer species were kno-(vn in the whole Animal Kingdom than are now contained in many private collections of certain famUies of insects merely. • This subject will be found considered in further detail in paragraph 166 in the chapter on Ethnology. 344 PHYSICAL GEOGRAPHY. The number of vertebrate animals may now be estimated at 20,000. Of these there are about 1500 species of mammals pretty preciaely known, and the number may probably extend to 2000. There are about 4000 or 5000 species of birds well known, and the probable number ia 6000. Tho number of reptUea is about the same as that of mammals — ^namely about 1500 described species, and 2000 in all. The fishes are more numerous. The number in the museums of Europe are about 5000 to 6000 species, but the total number may extend to 10,000. The invertebrata are much more numerous. Of MoUusca there are pro bably from 8000 to 10,000 species in coUections. There are coUections of marine ahella, bivalve and univalve, which amount to 5000 or 6000, and coUections of land and freshwater shells extending to 2000 spedea. The total number of moUusks may probably exceed 15,000 species. Among the Articulata it is difficult to estimate the number of apecies. There are coUections of coleopterous insects which number from 20,000 to 25,000 apecies, and it is quite probable that by uniting the principal coUections 60,000 or 80,000 apeciea might now be counted. For the whofe department of Articulata, comprising the cruatacea, cirrhipeda insects, red-blooded worms, intestinal worma, and infusoria, so far as they belong to the department, the number would already amount to 100,000, and may be aafely eatimated as reaching^double that aum. The Eadiata, including the echini, starfishes, medusae, and polyps, cannot be estimated at less than 10,000 species. We may thus present the foUowing tabular view. Mammals BirdsReptiles ... Fishes Known. 1,5006,000 1,500 6,000 Estimated. Known number of Estimated nmnber of 2,000 6,000 2,000 10,000 species. species. 14,000 10,000 100,000 10,000 20,00015,000 200,000 10,000 134,000 250,000 Total Vertebrata . . . Mollusca Articulata Radiata Grand total This large number of species of animals must be stUl further increased, and perhapa even doubled, if we include also those no longer represented, but whose remains are preserved to us in the afrata of the Earth'a crust. These wUl, however, require separate consideration. 139 Nature and Degrees of Besemblance amongst Animals, and Com parison of their Structure. — There is no subject more important to the general student of natural history, and there is none which has more worthily occupied the attention of the best and most phUosophic naturaUsts, than the true nature of those resemblances which are presented everywhere in nature, which evidently have important meaning, but which, when made use of, are so likely to lead their pursuer into error, tiiat they are the very points on which the greatest and most miachievoua miatakea have been made. We muat endeavour here to make the reader acquainted with aome of the simpler meanings of homology, analogy, and afiinity, as they are requfred to be understood in considermg the aistribution of animals. Analogy and homology are relations of simple resemblance in portions ofthe living framework without reference to identity of race, whUe affinity is a relation obtaining between the correaponding parts of animala of the aame race — and -thua, at the outset, there are important and real distinctions to be recogniaed. But there ia more than this, and there are alao important diatmctiona to be drawn between the former ( erms. An analogvchas been defined to be ' a part or organ DISTRIBUTION OP ANIMALS IN SPACE. 345 in one animal which has the same function, or does the same work aa another part or organ in a different animal;' while a homologue is ' the same organ in different animala under every variety of form and function.' It wUl not be difficult to underatand, from these definitions, something of the true meaning of the words on which so much afress haa been laid, but a few examplea wiU render thefr use still more clear. In a very general way we may ahow this, by conaidering the nature of the wings by which various animals fly, the legs or arma which others use for walking and running, and the fins by means of which fiahea awim — in a word, of the organs of locomotion. There is analogy between the wing of a butterfly and that of a bfrd, for both of them serve for fiight, but they are not homologous, since a different organ is employed. On the other hand, the fore leg of a quadruped is homologous to the vring of a bfrd, but not sfrictiy analogous, for the aame organ is employed, but the aame purpose is not attained. Thus, also, the fin of a porpoise is homologous to the fin of a fish, being at the same time analogous, since both are employed in swimming, and both are modifications of the same organ. Affinities are different, and indicate closer relations. Thus, there is affinity between the leg and foot of a man and the paddle of a seal, for both are constructed on the same plan, and the affimty in this case is far more important than the analogy and homology that exist between seals and fishes, in thefr stmcture and habits. Affinities, rather than analogies and homologies, are therefore most useful in guiding us in the arrangement of animala. Eesemblancea are fraced not only in the parts of the individual or apecies, but in general external character, with regard to genera and larger groups. UsuaUy we may consider, that in any natural arrangement, such as we have endeavoured to give, there wUl be resemblances of affinity between aU species coUected together in any group, whether large or smaU — that, in otber words, aU animals in the first place — aU vertebrata in the next — aU mammals in the thfrd — aU monkeys in the fourth — and aU baboons in the fifth place, have different degrees of affinity, graduaUy becoming closer as the number of species included is amaUer. On the other hand, there wiU be analogy between aome vertebrata and aome moUuaca or articulata, between carnivorous quadrupeds and birds of prey, between different fribes of car nivora and so on ; and thus each natural group of organic beings wUl present reaemblancea of different kinda, which must be estimated, each according to ita true value, in any general view of the whole Animal Kingdom. It ia important also to remember, that investigations conceming the true nature and relationa of animala ahould not be limited to the adult, but extend over the whole courae of development. If thia ia not done, aome pecuUarities of structure which are predominant at one period of Ufe, wUl be exaggerated in importance, and othera neglected. Thus, the organs of respfration, which appear to be most essential characters for classification, if we regard only the fuU-grown animal, are found, on examining and comparing thefr various states in the same indiridual, to be quite subserrient to the nervous system. The comparative study of development is also not lesa valuable, aa a means of estimating the relative poaition of animala. Thus, the caterpillar, in becoming a butterfiy, passes from a lower to a higher development, and therefore, those animals, such aa worms, which resemble the caterpillar, must occupy a lower rank than thoae approaching the butterfly. All animals undergo changes, or metamorphoses, during the earUer period of thefr existence, although in many cases, especiaUy in those of higheat grade, theae take place before bfrth, and during the embryonic period. It ia only by connecting the two kinda of transformation — namely, those that take place before and those after birth, that we are ftimiahed with means of ascertaining the relative perfection of animals ; so that, in fact, auch franaformations become a natm-al key to the gradation of types. No one can properly appreciate the structure of animals and the difference of races, or com prehend, even in a very inferior degree, the law that governs the placing of 346 PHYSICAL GEOGRAPHY. groups in certain districts, adapts them a certain climate and certain food, and enables them to resist certain changes, without knowmg something of the nature of analogy and afflmty, and the changes of structure that take place in the individual and the species, in paaaing through aU the varioua forms of its existence, as an organized being. 140 Natural Grouping of Animals in a ' Fauua.' — The coUection of animals inhabiting any particular region, including aU the speoiea, both aquatic and terrestrial, is caUed its Fauma, just as the plants of a country combine to form its Flora. It is not necessary that every species ahould be pecuUar, only there must be some special disfribution of femUies, genera, and species, and a preponderance of certain types, sufficientiy important and prominent to impress upon the group weU-marked features. Thus, the fauna of New HoUand la characteriaed by the exiatence there of tribea of quadrupeds of the Marsupial order, that of South America by Edentata. The polar bear and reindeer are characteriatic of the arctic regions of the Earth, and certain peculiarities of structure m monkeys at once distinguish the faunas of Asia and America, in those parts where monkeys appear. As animals feed either on other animals, or on vegetables, it ia erident that, ultimately, the diatribution of animals wiU depend on vegetable life. Thua, there arises a relation between the fauna of a locahty, its climate, and its flora; but although this is certainly very important, it must not be forgotten that whUe plants chiefly inhabit land, animals range far more widely, and exist to such an extent in water, that it has been even aaid, that the ocean is the frue home of the Animal Kingdom, and this is certainly the case in those extreme latitudes where vegetable life entirely ceases, and where the aea teema with animala of aU classes and aU dimensions. The chief influence of exfreme cold seema to be to render more uniform the distribution of apecies, ao that many of the large quadmpeda, for example, are common to Europe, Aaia, and America, within certain high latitudes, whUe the faunas of tropical Aaia are totally diatmct from those either of fropical Africa, or fropical America. A wide fract of deep sea, and the existence of broad desert fracts, lofty mountaina, and distinct zones of climate on land, Umit Faunas very strikingly, as we find on comparing the productions of the Cape of Good Hope vrith those of Cape Horn, and this is even the case when latitade and climate are very nearly simUar. The depths of the ocean are, indeed, quite as impassable for marine species as high mountains are for terrestrial animals, and it would be as difficult for a fish or a moUusk to cross from the coast of Europe to that of America, as it would be for a reindeer to pass from the arctic to the antarctic regions across tbe torrid zone. It is pro bable that the deepest parts of the ocean are absolutely untenanted, for there seem there no means of subsistence, and few animals are organized so as to reaiat the preaaure of a column of water many thousand fathoma in height. The animal inhabitanta of the sea are, therefore, aa atrictiy limited to districts as those of the land ; and as by far the larger proportion depend on the adjacent ahores more or less for thefr means of existence and thefr shelter from natural enemies, no doubt the limits of the marine are less easily defined than those of terrestrial Faunas, but stUl marked differences are discernible, whUe freshwater species vary, not only in different zones, but even in the rivers and lakes of the same disfrict. The range of species does not depend on powers of locomotion, but on the contrary, animals which move slowly and vrith difficulty, generaUy ha,ve a vride range, whUe thoae which are active are often very narrowly hmited. Thus, the common oyater extenda on the American coaat from Cape Cod to the Carolinas, aud is, as we know, alao common over a long Une of coaat on thia side of the Atlantic, ao that ita range is absolutely very great ; and when compared to that of some fleet animal, as the moose, appears enormous. It is indeed poaaible that Iho very want of power to travel really confributea to tho difiusion of this and somo other species, since when once removed they cannot retum, and thoir eggs beuig left to the mercy of marine currenta, may DISTRIBUTION OP ANIMALS IN SPACE. 347 be drifted very far, whUe fishes depositing thefr spawn in sheltered bays and inlete, are secured from wide dispersion. The nature of their food has an important bearing upon the grouping of animals, and upon the extent of their distribution. Carnivorous animals are generaUy less confined in thefr range than herbivorous ones, becauae their food is almost everywhere to be found. The herbivora, on the other hand, are restricted to the more limited regions corresponding to the different zones of vegetation. The same remark may be made with respeot to bfrds. Birds of prey, hke the eagle and vulture, have a much vrider range than the granivorous and gaUinaoeous bfrds. StUl, notwithstanding the facUities they nave for change of place, even the bfrds that wander widest recognise limits which they do not overpass. The condor of the CordUleraa doea not deacend into the temperate regions of the United Statea ; and yet it ia not that he fears the cold, since he is frequently known to ascend even above the highest summita of the Andes, and disappears from view where the cold is most intense. Nor can it be from lack of prey. PinaUy, to obtain a frue picture of the zoological disfribution of _ ammals, not the terrestrial types alone, but the marine apeciea, muat alao be included. Notwithatanding the uniform nature of the watery element, the animala which dweU in it are not dispersed at random, and though the limits of the marine may be leas easUy defined than those of the terrestrial fauna, stiU marked differences ofthe animals in the great basins are not less observable. Pro perly to apprehend how marine animals may be disfributed into local faunas, it must be remembered that thefr residence ia not in the high sea, but along the coaste of continents and on soundings. It is on the banks of Newfouni land, and not in the deep sea, that the great cod fishery is carried on ; and it is weU known that when fishes migrate, they take oare to run along the ahores. The range of marine apecies being therefore confined to the vicinity ofthe ahorea, thefr diafribution muat be subjected to laws simUar to those which regulate the terrestrial faunas. Aa to the fresh-water fishes, not only do the apecies vary in the different zones, but even the different rivers of the same region have species pecuUar to them, and not found in neighbouring sfreams. A vei^ influential cause in the distribution of aquatic animala is the depth of the water. The moUuaka, and even the fishes found near the surface between high and low water, differ, in general, from those Uving at the depth of twenty or thfrty feet, and these again are found to be different from those which are met -with at a greater depth. Thefr colouring in particular varies according to the quantity of Ught they receive, as haa also been ahown to be the case with the marine plants. It is sometimes the case that one or more animals are found upon a cert,ain chain of mountains and not elsewhere ; as for instance, the mountain sheep upon the Eocky Mountains, or the chamois and the ibex upon the Alps. The aame is also the case on aome of the vride plains or prairies. This, however, does not entitle such regions to be considered as having an independent fauna, any more than a lake is to be regarded as having a pecuhar faima exclusive of the animals of the surrounding country, merely becauae some of the apeciea found in the lake may not ascend the rivers emptying into it. It is only when the whole group of animals inhabiting a region has such jpecuUarities as to give it a distinct character, when confrasted with animals found in surrounding regions, that it is to be regarded as a separate fauna. Such, for example, is the fauna of the great steppe or plain of Gobi, in Asia, and such also that of the chain of the Eocky Mouutains may prove to be when the animals inhabiting them are better known. The migration of animals might at first seem to present a serious difficulty in detei-mining the character or the limits of a fauna; but this difficulty ceases, if we regard the country of an animal to be the place where it makes ita habitual abode. As to bfrds, which of aU animals wander the farthest, it 348 PHYSICAL GEOGRAPHY. may be laid down as a rule that they belong to tbe zone in which they breed. Thus the guUs, many of the ducks, mergansers, and divers, belonging to the boreal regions, though they pass a portion of the year with us. On the other hand, the swaUows and martins, and many of the gaUinaceous bfrds, belong to the temperate faunas, notwithstanding that they migrate during vrinter to the confines of the torrid zone. This rule does not apply to the fiahea who annually leave thefr proper home and migrate to a distant region, merely for the purpose of spawning. The salmon, for example, comea down from the north to spawn on the coasts of Maine and Nova Sootia. Few of the mammals, and these mostly of the tribe of Eodents, make extensive migrations. Among the most remarkable of these are the Kamts chatka rats. In spring they dfrect thefr course westward in immenae froops, and after a very long joumey, retum again in autumn to thefr quarters, when thefr approach is anxiously awaited by the hunters, on account of the fine furs to be obtained from the numerous. carnivora wbich always follow in their train. The migrations ofthe lemmings are marked by the devastations they commit along thefr courae, as they come down from the borders ofthe Frozen Ocean to the vaUeys of Lapland and Norway ; bnt thefr migrations are not periodical. 141 Distribution ofthe Faunas. — ^We have stated that aU the faunas of the globe may be divided into three departments, corresponding to as many great cUmatal divisions — namely, the glacial or arctic, the temperate, and the fropical faunas. These three (Urisions appertain to both hemispheres, as we recede from the equator towarda the north or south poles. It vriU hereafter be shown that the fropical and temperate faunas may be again dirided into several zoological provinces, depending on longitude or on the pecnhar configuration of the continents. No continent is better calculated to give a correct idea of diatribution into faunaa aa determined by climate than ihe continent of America, extending as it does across both hemispheres, and embracing aU latitudes, so that all cUmates are represented upon it. Let a fraveUer embark at Iceland, which is situated on the borders of the polar circle, with a view to observe, in a zoological aapect, tne prmcipal pointa along the eastem shore of America. The result of his observation wUl be very much as foUows. Along the coast of Greenland and Iceland, and also along Baffin's Bay, he vnU meet vrith an unvaried fauna com posed of animals which are, for the most part, identical with those of the arctic shores of Europe. It vriU be nearly the same along the Labrador coast. As he approaches Newfoundland, he wiU see the landscape, and with it the fauna, assuming a somewhat more varied aspect. To the vride and naked, or turfy plains of the boreal regions succeed foreste in which he wiU find various animals which dweU omy in foreste. Here the temperate fauna commences ; stiU the number of species is not yet very considerable ; but as he advances southwards along the coasts of Nova Scotia and New England, he finds these species graduaUy increasing, whUe those of the cold regions diminish, and at length entirely disappear, some few accidental or periodical visitors excepted, who wander during vrinter as far south as the Carolinas. But it is after having passed the boundaries of the United Stetes, among the AntUles, and more especially on the southem continent along the shores of the Orinoco and the Amazon, that our traveller wiU be forcibly stmck with the astonishing variety of the animals which people the foreste, the prairies, the rivers and the sea shores, most of which he wUl also find to be different from those of the northem continent. By this exfraordinary rich ness of new forma he wiU become aensible that he is now in the domain of the tropical fauna. Let him stiU fravel on beyond the equator towards the tropic of Capricorn, and he will again flnd the scone change aa he enters the regions where the DISTRIBUTION OF ANIMALS IN SPACE. 349 Bun casts his rays more oblic[ue]y, and where the contrast of the seasons ia more marked. The vegetation wUl be leas luxuriant, the palms wiU have disappeared to make place for other trees, the animals wUl be less varied, and the whole picture wUl recal to him, in aome meaaure, what he witneased in the United States. He wUl again find himself in the temperate regions, and this he wiU trace on, tUl he arrives at the extremity of the continent, tbe fauna and the flora becoming more and more impoverished as he approaches Cape Hom. FinaUy, we know that there is a continent around the South Pole. Although we have as yet but very imperfect notions reapecting the animals of this inhospitable cUme, still the few which have afready been observed there, aU present a close analogy to those of the arctic region. It is another glacial fauna — namely, the antarctic. Having thus sketched the general distribution of the fauna, it remains to point out the principal features of each of them. 142 Arctic Fauma. — The predominant feature of the arctic fauna is its uniforndty. The species are few in number, but, on the other hand, the number of indiriduals is immenae; we need only refer to the clouds of birds which hover upon the islands and shores of the north : — ^the shoals of fishes — the salmon among others, which throng the coasts of Greenland, Iceland, and Hudson's Bay. The same uniformity appears in the form and colour of the animals. There is not a single bfrd of brUUant plumage, and not a fiah with varied hues. Thefr forms are regular, and thefr tints as dusky as the northern heavens. The most conspicuous animals are the white bear, the moose, the rein-deer, the musk ox, the white fox, the polar hare, the lemming, and various seals, but the most important are the whales, whioh it is to be remarked rank lowest among the mammals. Aniong the bfrds may be enumerated some sea-eagles and a few waders, with an immense number of other aquatic species, such as guUs, cormorants, divers, petrels, ducks, geese, &c., aU belonging to the lowest order of bfrds. Eeptiles are altogether wanting. The Articulata are represented by numerous marine worms, and by minute cruataceana of the orders Isopoda and Amphipoda. Insects are rare and of inferior types. Of the type of MoUusks, there are Acephala, particu larly Tunicata, fewer Gasteropods, and very few Cephalopods. Among the Eadiata are a great number of jeUy-fishes, particularly the Beroe ; and to conclude with the Echinoderms, there are several star-fishea and Echini, but few Holothurise. The clasa of Polypi ia very scantUy represented, and those producing stony corals are entfrely wanting. This aaaemblage of animals is e-ridently inferior to the other faunas, especiaUy to those of the fropics. Not that there ia a deficiency of animal Ufe ; for if the species are less numerous, there is a compensation in the multitude of individuals, and also in this other very significant fact, that the largest of all animals, the whales, belong to this fauna. It has afready been said that the arctic fauna of the three continents is the same ; its southern limit, however, is not a regular Une. It does not correspond preciaely with the polar circle, but rather to the isothermal zero, that is, the line where the average temperature of the year is at 32° of Fahrenheit. The course of this Ime presents numerous undulationa. In general, it may be said to coincide with the appearance of frees, so that it passes where forest vegetation succeeds the vast arid plains, the barrens of North America, or the tundras of the Samoyedea. The uniformity of these plains involves a corresponding uniformity of planta and animals. On the North American continent, it extends much farther southward on the e.iatern shore than on the western. From the peninsula of Alashka it bends northwards towards the Mackenzie, then descends again towards the Bear Lake, and comes down to near the northern shore of Newfoundland. 143 Temperate Faunas. — The faunas of the temperate regions of the northem hemisphere are much more varied than that of the arctic zone. At its northern margin, the leaves, excepting those of the pines and spruces, fall 350 PHYSICAL GEOGRAPHY. on the approach of the cold season, and vegetation is arrested for a longer or shorter period. Inaecta retire, and the animals which live upon them no longer find nourishment, and are obliged to migrate to warmer regions, cn the borders of the tropics, where on the ever verdant vegetation they find the means of subsistence. Some of the herbivorous Mammals, the bats, and the reptUes which feed on insects, paas the winter in a state of torpor, from which they awake in spring. Omers retire into dens, and live on the provisions they have stored up during the warm season. The Carnivora, the Euminanta, and the most active portion of the Eodents, are the only animals that do not change either tbeir abode or thefr habits. The fauna of the temperate zone thus presents an ever-changing picture, which may be considered as one of its most important featurea, since these changes recur with equal constancy in the Old and the New World. Taking the confrast of the vegetation as a basis, and the consequent changes of habit imposed upon the denizens of the foreste, the temperate fauna has been dirided into two regiona, a northem one, where the trees, except the pines, drop thefr leavea in winter, and a southem one, where they are evergreen. Now aa the Umit ofthe former, that of the deciduoua frees, coincides, in general, vrith the limit ofthe pines, it may be said that the cold region of the temperate fauna extends as far as the pines. In the United States this coincidence is not so marked as in other regions, inasmuch as the pines extend into Florida, whUe they do not prevaU m the westem stetes ; but we may reckon as belonging to the southem portion of the temperate region, that part of the country south of the latitude where the Palmetto or Cabbage free (Chamcerops) commences, nearly aU the statea to the aouth of North Carolina ; while the states to the north of this limit belong to the northern portion of the temperate region. This diviaion into two zones ia supported by observations made on the maritime faunas of the Atlantic coast. The line of separation between them, however, being influenced by the Gulf Sfream, is conaiderably farther to the north ; — namely, at Cape Cod. It has been ascertained, that of one hundred and ninety-seven MoUusks inhabiting the coast of New England, fifty do not pasa to the north of Cape Cod, and eighty-three do not paas to the south of it; only sixty-four being common to both sides of the Cape. A simUar limitation of the range of fishes has been noticed by Dr. Storer, and Dr. Hol- brook has found the fishes of South CaroUna to be different from thoae of Florida and the West Indies. In Europe, the northern part of the temperate region extends to the Pyrenees and the Alps ; and ite southem portion con sists of the basin of the Mediterranean, together with the northem part of Africa, as far as the desert of Sahara. A pecuUar characteristic of the faunas of the temperate regions in the northem hemisphere, when contrasted with those of the southem, is the great simUarity of tbe prevaiUng types on both continents. Notwithstanding the immense extent of country embraced, the aame stamp ia everywhere exhibited. Generally l^e same famUies, frequently the same genera represented by different species, are found. There are even a few species of terresfrial animals regarded as identical onthe continenta of Europe and America, but their auppoaed number is conatantly diminished, as more accurate observations .are made. The predominant types among the Mammals are the bison, deer, ox, horse, hog, numerous Eodents, especially squirrels and hares, nearly aU the Inaectivora, weasels, martins, wolves, foxes, wUd cats, &c. On the other hand, there are no Edenteta, and no Quadrumana, with the exception of some monkeys on the two slopes of the Atlas. Among bfrds there is a multitade of climbers, passerine, gallinaceous, and rapacious birds. Of reptUea there are lizards and tortoises, of small or medium size, serpents, and many bafrachians, but no crocodiles. Of fishes there is the trout famUy, the cyprinoids (carps), the sturgeona, the pikes, the cod family, and especiaUy the great famUy of herrings and scomberiods, to which latter belong tho mackerel and the DISTRIBUTION OP ANIMALS IN SPACE. 351 tanny. AU classes of the MoUusks are represented ; though the Cephalopods are less numerous than in the torrid zone. There is an infinite number of Articulata of every type aa well as numerous Polyps, though the true corals do not appear abundantly. On each of the two continents of Europe and America, there is a certain number of apecies which extend from one exfreme of the temperate zone to the other. Such, for example, are the deer, the bison, the cougar, the flying squirrel, numerous bfrds of prey, several tortoiaea, and the rattlesnake in America; and in Europe the brown bear, wolf, swaUow, and many birds of prey. Some species have a stUl vrider range, Uke the ermine, which is found from Bhering's Straits to the Himalayan Mountaina, that is to say, from the coldest regions of the arctic zone, to the southern confines of the temperate zone. It is the same with the musk-rat, which is found from the mouth of Mackenzie's Eiver to Florida. The field mouse has an equal range in Europe. Other apeciea, on the confrary, are limited to one region. The Canadian elk is confined to the northern portion ; and, on the other hand, the prafrie wolf, the fox-squirrel, the bassana, and numeroua bfrds, never leave tne southem portion.* In America, as in the Old World, the temperate fauna is fiirther subdi rided into several districts, which may be regarded as so many zoological provinces, in each of which there is a certain number of animala differing from those in the othera, though very closely aUied. Temperate America presents us with a striking example in this respect. We have, on the one hand — I. The 6.una of the United Stetes, properly so called, on thia side of the Rooky Mountains. II. The feuna of Oregon and California, beyond those mountains. Though there are some animals whioh traverse the chain of the Rocky Mountains, and are found in the prairies of the Missouri, as well as on the banks of the Columbia, as tor example, the Rocky Mountain deer (Antilope furcifer,) yet if we regard the whole assemblage of animals, they are found to differ entirely. Thus, the rodents, part of the ruminants, the insects, and all the moUusks, belong to distinct species. The faunas or zoological provinces of the Old World whioh correspond to these are — I. The fauna of Europe, which is very closely related to that of the United States proper. II. The fauna of Siberia, separated from the fauna of Europe by the Ural Mountains. III. The fauna of the great Asiatic table-land, whioh, from what is as yet known of it, appears to be quite distinct. IV. The &mia of China and Japan, which is analogous to that of Europe in the birds, and to that of the United States in the reptiles, as it Is also in the flora. Lastly, it is in the temperate zone of the northem hemisphere that we meet with the most striking examples of those local faunas which have been mentioned above. Such, for example, are the faunas ofthe Caspian Sea, of the Steppes of Tartary, and of the Westem Prairies. The faunas of the southem temperate regions differ from those of the fropics as much as the northem temperate ftiunas do ; and like them, also, may be distinguished into two provinces, the colder* of which embraces Patagonia. But, besides differing from the tropical faunas, they are also quite dissimUar to each other on the different continents. Instead of that * The types which are peculiar to temperate America, and are not found in Europe, are, the opossam, several genera of insectivora, among them the shrew-mole, (Scalops aquations,) and the star-nose mole, (Condylura cristata,) which replace the mygale of the Old World ; several genera of rodents, especially the musk-rat. Among the types characteristic of Araerica must also be reckoned the snapping-turtle among the tortoises; the menobranchus and menopoma among the salamanders ; the garpike and amia among the fishes ; and, flnally, among the Crustacea, the limulus. Among the types which are wanting in temperate America, and which are found in Europe, may be cited the horse, the wild boar, and the true mousi;. All the species of domestic mice which live in America have been brought from the Old World. 352 PHYSICAL GEOGRAPHY. general resemblance which we have noticed between aU the faunas of tho temperate zone of the northern hemisphere, we find here the most com plete contrasts. Each of the three continental peninaulas whieh jut out southerly into the ocean represents, in some sense, a separate world. The animals of South America, beyond the tropic of Capricorn, are iu aU respects different from those at the southem extremity of Africa. The hyenas, wild boars, and rhinoceroses of the Cape of Good Hope have no analogues on the American continent ; and the difference is equally great between the bfrds, reptUea, and fishes, insects and moUusks. Among the most characteristic animals of the southem extremity of America are peculiar speoiea of seala, and eapeciaUy, among aquatic birds, the penguins. New Holland, with its marsupial mammals, with which are associated insects and moUusks no leas singular, fumiahes a faxma stiU more peculiar, and which doea not approach thoae of any of the adjacent countriea. In the seas of that continent where everything ia ao strange, we find the curious shark, with paved teeth and apinea on the back (Ceafracion Phihppi), the only living repreaentative of a fanuly so numerous in formffl: zoological ages. But a most remarkable feature of this fauna is, that the same types prevaU over the whole continent, in its temperate as weU as its fropical portions, the species only being different at different locaUtiea. 144 Tropical Faunas. — The fropical faunaa are distinguiahed on aU the continenta by the immense variety of animals which they comprise, not lesa than by the brilliancy of thefr coverings. AU the principal types of animals are represented, and aU contain numerous genera and species. We need only refer to the tribe of humming-bfrds, which numbers not less than 300 species. But what is very important is, that here are concentoated the most perfect and also the oddest types of aU the classes ofthe Animal Kingdom. The tropical region ia the only one occupied by the quadrumana, the herbi- voroua bata, the great pachydermata, such as the eleMant, tbe hippopotamua, and the tapir, and the whole famUy of edentata. Here, alao, are found the largest of the cat tribe, the Uon and tiger. Among the bfrds we may mention the parrots and toucans, as essentiaUy tropical; among the reptUes, the largest crocodUea and gigantic tortoises ; and finaUy, among the articulated animala, an immenae variety of the most beautiful insecte. The marine animals as a whole are equally auperior to thoae of other regions; the seas teem with cruataceans and numerous cephalopoda, together with an infinite variety of gasteropods and acephela. The echinoderms there attain a magnitade and variety elaewhere unkno-ivn ; and laatly, the polyps there display an actirity of which the other zones present no example ; whole groups of islanda are covered with coral reefs formed by those Uttle ammals. The variety of the tropical fauna is farther enriched by the cfrcumstance that each continent furnishes new and peculiar forms. Sometimes whole types are limited to one continent, as the sloth, the toucans, and the hum ming-birds to America ; the gfraffe and hippopotamus to Africa ; and again, animals of the same group have different characteristics, according as they are found on different continenta. Thus the monkeys of America have fiat and widely separated nosfrila, thfrty-aix teeth, and generally a long pre- hensUe tail. The monkeys of the Old World, on the confrary, have noafrUs close together, only thfrty-two teeth, and not one of them has a prebenaUe tail. But theae differences, however important they may appear at fii-at glance, are subordinate to more iraportant characters, which establish a certain general affinity between aU the faunaa of the tropica. Such, for example, ia the fact, that the quadrumana are limited on all the continents to the warmest regions; and never, or but rarely, penetrate iuto the temperate zone. This disfribution is a natural consequence of the distribution of the palms ; for aa theae trees, which constitute the ruling feature of the fiora of the tropics, furniah to a great extent the food of tho monkeys on the two continents, we have only to DISTRIBUTION OF ANIMALS IN SPACE. 353 frace the limits of the extent of the pahns, to have a pretty accurate indica tion ofthe fropical faunaa on all three continenta. The tropical fauna of Asia, comprising the two peninsulas of India and the isles of Sunda, is weU marked. It is the country of the gibbons, the red ourang, the royal tiger, the gavial, and a multitude of peculiar birds. Among the fiahea the family of Ohetodona is most numerously represented. Here also are found those curious spiny fishes, whose intri cate gUls suggested the name (Labyrinthici) by which they are known. Fishes with tufted gUls are more numerous here than in other seaa. Tho insects and moUuaka are no less strongly characterized. Among others is the nautilus, the only living representative of the great famUy of large chambered aheUa, which prevaUed so extensively over other types in former geological ages. The fropical zone of Africa is distinguished by a striking uniformity in the disfribution of the animala, which corresponds to the uniformity of the atmcture and contour of that continent. Ita most characteristic apecies are spread over the whole extent of the tropics; thus the giraffe is met with from Upper Egypt to the Cape of Good Hope. The hippopotamus is found at the same fiine in the Nile, the Niger, and Orange Eiver. This wide range is the more significant aa it alao relates to herbivorous animala, and thus supposes conditions of vegetation very simUar over wide countries. Some forms are nevertheless circumscribed within narrow districta, and there are marked differencea between the ammals of the eastem and westem shores. Among the remarkable species of the African torrid region are the baboons, the African elephant, the crocodUe of the NUe, a vast number of antelopes, and especiaUy two species of ourang-outang, the chimpanzee and another large and remarkable animal of the same kind, recently described by Drs. Savage and Wyman. The fiahea ofthe Nile have a tropical character aa weU aa the animala of Arabia, which are more aUied to thoae of Africa than to those of Asia. The large island of Madagascar has its pecuUar fauna, characterized by its makis and its curious rodents. It is also the habitat of the" aya-aya. Polynesia, exclusive of New Holland, furnishes a number of very curious animals, which are not found on the Asiatic continent. Such are the herbi vorous bats and the galeopithecus, or fiying maki.* Several weU marked faunaa may be diatinguiahed in the fropical part of the American continent — namely, I. The fauna of BrazU, characterized by ita gigantic reptilea, ita monkeys, its Edentata, its tapfr, its humming-bfrd.s, and its astonishing variety of insects. II. The fauna of the westem slope of the Andes, coinprising ChUi and Pem ; and distinguished by ita Uamaa, vicunaa, and bfrds, which differ from thoae ofthe baain ofthe Amazon, aa alao do the insects and moUuska. III. The fauna of the AntiUes and the Gulf of Mexico. This ia eapeciaUy characterized by its marine animals, among which the manatee is particularly remarkable ; an infimte variety of singular fishes, embr^jing a large number of Plectognaths ; also MoUusks, and Eadiata of peculiar species. It is in this zone that the Peniacrinus caput-medusee is found, the only representative in the existing creation of a famUy so numerous in ancient epochs, the Crinoidea with a jointed stem. The limits of the fauna of Cenfral America cannot yet be weU defined, from want of sufficiMit knowledge of the animals which inhabit those regiona. 145 Special Distribution of Quadeumana. — In addition to the facts already given vrith regard to the various faunas in different parts of the * For the whole of this account of the distribution of the faunas, the author is indebted to an excellent abstract given by Prof. Agassiz, in his Principles of Zoology, recently published in America. The above five sections are adopted with little change from that work, chapter xiii. AA 354 PHYSICAL GEOGRAPHY. world, it is desfrable that we should consider also the special distribution of various races and natural tribes of animals. Of those which are calculated to give useful information of this kind, the great division of Vertebrata includes by far the larger number, and we now proceed to explain in what manner the class of Quadrumana is constituted with reference to chmate and position. Of the Quadrumana there are two subdivisions, the Simice, or monkeys, and the Prosimite, or makis. Of the former there are two famihes, the one having obUque and vride set nostrils and a human-like system of teeth, and characteristic of the Old World; and the other having nostrils placed at the side and vride asunder, with three false grinders on each side of both jaws, found only in America. There are in all one hundred and seventy described species, of which seventy -nine belong to the former and ninety-one to the latter country. There are thirty-two species of makis, making m aU two hundred and two described Quadrumana. With regard to the distribution of these two hundred and two apeciea, we find that the apea are concenfrated in counfries under the equator, and there have their maximum. Of the three equatorial regions of Aaia, Africa, and America, that of America (BrazU) has by far the greatest number of species, the amount being nearly double that of the continente of the Old World. Probably the greatest number of species of apea occur in the SUvas, on the banka of the Amazon, whence they extend to the eastem decUriiy of the Andes; they do not, however, croas the chain, aince, on the whole weatem side of the CordUleraa, from Panama to ChUi, only one or two aperies of the spider-monkey (Ateles) occur, and these are confined to Pem. Not only is the maximum of aU the apes of the New World found in BrazU, but the maximum of each single genus also occura there. Of nine genera of monkeys found in the Old World, five are common to Asia and Africa. Four of these (the baboons, magote, macacos, and long- taUed monkeys, Cercopithecus) belong to the group of taUed monkeys, and the other (the Oranga) to the taUlesa monkeys. Of the other four genera the taUed gibbons are found only in Sumafra, and the solemn apes (Semnopithecus) occur pretty -widely distributed in the islands of the Indian Archipelago, and are met with also in India and China, but nowhere in Western Asia or Africa. The whole group of the gibbons correaponda pretty nearly in diatribution with that of the solemn apes, and the two groups are simUarly limited, whUe thumbless apea (Colobus) are atrictiy Umited to Africa, and chiefiy confined to about sixteen degrees on each aide of the equator. The Baboons (Cynocephalus) are large, ferocious, and dangeroua apea, attaining the aize of a wolf, and remarkable for thefr canine physiognomy, whence their name haa been derived, (kvvti, cyni, dog, KedKT], cephaU, head.) There are two groupa of them — viz., the baboona proper and the mandriUa. One apeciea of the former is nearly confined to the Cape of Giood Hope, another to the vicinity of the Eed Sea, another to Northem and Cenfral Africa, and another to Asia (East Indian lalands). The mandrills are exclu sively met with in Cenfral Africa. The Magote are represented in North Africa and Europe by the Barbary ape, and in Sumatra by another species. The Barbary ape is not indigenous in Europe, but has migrated from Ceuta to Gibraltar, the only European locality in which it occurs. There are two divisions of macacos — the long-tailed and short-teUed. They are both widely spread, but the second di-vision occurs only in Asia, inhabiting Hindustan, Ceylon, Java, and Sumafra. The apecies of the former abound in the East Indian Islands and occur alao in Africa. The Tbumbleaa apes ( Colobus) form a peculiar African group of the Asiatic genua Semnopitliecus, (Solemn apea). The latter are long-taUed and have a slender body; they are mUd, intelligent, and slow. They abound in India, Ceylon, and the South-eastern Arcmpelago, and one apeciea extenda into China, Cochin China, and the Malay peninsula, where its flesh ia highly DISTRIBUTION OF ANIMALS IN SPACE. 355 Erized as an article of food. The African thumbless apes have a singular ead of hafr, and there are several (eight) species of them. The Long-tailed monkeys (Cercopithecus) are chiefly African, where they are described as being singularly abundant. The proper habitat ofthe genus ia Weatern Africa, but aix apecies occur in Asia, one of which is common to the two continents. One species reaches far aouth in Africa, and another inhabits the ialand of Mauritius. The TaUless monkeys are of two groups, the long-armed apes (gibbons) and the orangs. The former inhabit only the most secluded parts of India and the Eaatern Archipelago ; the latter are found both in Aaia and Africa, but are limited to about thirteen degreea latitude on each aide of the equator, and occur chiefly in tho interior of the country. The Monkeys of the New World differ remarkably from those of the Old, especially in their smaUer aize and lesa ferocioua mannere, in the possession of naked caUositiea, and in the want of cheek pouchea. They form two groupa, and include, as we have afready said, a very large number of species. The monkeys ofthe first group aU possess prehensUe taUs; they include the howlers, (nine species,) the spider monkeys, (two,) the gluttonous monlceys, (two,) and the weepers, (twenty -three.) The species of the first genua are of large size and have the widest cfrcle of distribution, being found as far north as Panama, and extending also to the south polar Umit of the whole race. The spider monkeys inhabit chiefly BrazU and Guiana ; they are generaUy mild, timid, melancholy, and inactive. The gluttonous monkeys are strictiy confined to the fropical counfries in the interior of South America, and the weepers, although found in greatest numbers in Guiana, extend southwards to the fropic of Capricorn ; they are mUd, quick and Uvely in thefr movements, and exceUent cUmbers. The aecond group of American monkeya are chiefly BrazUian, and they generaUy have large tails and bushy hafr. The Makis include thirty4wo species, of which fourteen are Lemurs, and aix Boris. The Lemurs are exclusively confined to Madagascar and the adjacent islands, and ao are also another group (lichanotu^, the largeat of the tribe, attaining the aize of a baboon. The Lorises are distributed through Asia, and are remarkable for thefr nocturnal habita, and large aparkUng eyes. Among the Monkeys of the Old World, one of the solemn apes (Semno pithecus entellus) ascends to the greatest height attained by the Quadrumana, and where there is wood, indiriduals are found on the slopes of the Himalayan Mountains, 1 3,000 feet above the sea. In Africa the Macacus montanus is found in Abyssinia, to the height of 8000 feet, and one of the howling monkeys of America occurs on the eastem side of the Andea, at more than 11,000 feet elevation. 146 Distribution of Cabnivoea. — The Carnivora are so important, as weU by thefr number as in thefr disfribution, that they requfre to be con sidered in some detaU. The famUies of Carnivora are five — four of them terrestrial, and the fifth marine. They are divided into sixty-six genera, and about five hundred and twenty-aix apeciea ; of these the first family, or bats (Chieopteea), includes two hundred and twenty-four species ; the inaect- eatera (Inseotivoea), sixty-one; the Plantigeada, thfrty-four; and the DiGiTiGEADA, one hundred and ninety -five ; the remainder are Amphibia. The distribution of the Bats is moat considerable within the tropics, where there are seventy -two apeciea in Aaia, forty-one in Africa, and fifty-five in America, vrithout including the apeciea in New Guinea and the ialandla of the Pacific, which number twenty-five species. The most extensive genus (that including the common bats of Europe) is also the most widely distributed, ranging from the Arctic cfrcle to the extremity of AuatraUa, and alao into South America. The Insectivora are pretty generaUy distributed throughout the great continents, but are entirely absent in the islands of the Pacific Ocean, aa2 356 PHYSICAL GEOGRAPHY. including AustraUa, and in South America, below the tropics. The greatest number of species (twenty-five) occur in fropical Africa, but there are fifteen in tropical Aaia, and four in tropical America. The shrews are found throughout, and the hedge-hogs almost so ; the moles are pretty general in north, temperate, and arctic climatea, but are almost entfrely absent in the fropics. Generally, the Insectivora are remarkable in not foUovring the general law with regard to Carnivora, that of increasing and attaining all their marima in tropical climates. The Plantigrades, Uke the Inaectivores, are abaent in the ialands of the Pacific, in Auatralia, and temperate South America, but differ remarkably in thefr tropical distribution, only two species occurring in Cenfral Africa, while twelve fropical species are American, and eleven Asiatic. The bears are the more generaUy diatributed, and are found throughout ; the gluttons present the same number of species within the fropica and in the Arctic cfrcle, but are, with one North American exception, entfrely abaent in the temperate climatea. The Digitigrades are met with everywhere, the dogs being the most widely distributed ; the cats are next in importance in this respect (being absent in AusfraUa and the Pacific Islands), and then the martins and otters must be mentioned. This famUy, although not so numeroua as that of the bats, is the most important, since it contains the fiercest and strongest of aU the Carnivora. The moat interesting groupa among them are — Canis (dog), and Felis (cat) — the former ofwhich, in aome form or other, haa representativea in every country from the Arctic Sea to the aouthemmost islanda in the Paciflc, and m the Old as weU as in the New World. Some particular species are also very vridely apread, the wolf occupying both continents, from the Arctic Cfrcle to the north coast of Africa and the Isthmus of Panama, extending eastwards into India, and westwards to the westem shorea of Ameriea. The fox ranges over the greater part of Em-ope, and almost the whole of northem Asia; the jackal, the representative species in Africa, extends from the Senegal to India, and from Abyssinia to southern Euaaia- The whole fribe is, however, remarkably poor in species in India beyond the Ganges, and also in the Indian Archipelago, which, in other respects is rich in Carnivora. The genua EeUs is found in aU parts of the world, except in the islanda of the Paciflc, Jiipan, and the PhUippines, and the vast expanse of AusfraUa. The apecies inhaoiting America differ greatiy in appearance from those of the Old World, and are generaUy smaUer in size. They are also confined to the eaatern aide of the Andes. The Uon is spread over almost the whole of Africa, from the Cape of Good Hope to Barbary, but is confined in Asia to a much smaUer region, not extending beyond lat. 32° north, and chiefly met with in the jungle counfries of Infia, and the borders of the Euphrates. The puma, the Uon of America, has a far vrider range, extending from Patagonia, in lat. 54° South, to CaUfornia on the one side, and the Canadian lakes on the other, in lat. 50° north, a distance of 7000 mUes. The tiger, more active than the lion, and nearly equal in sfrength, is very differently distributed, ranging through almoat the whole of India, Siam, and China, extending northwarda far into Central Aaia, and southwarda into Sumafra and Java. The jaguar, or American tiger, haa its prmcipal habitat in BrazU and Paraguay, but reachea aouthwarda only to the latitade of ChUoe, and doea not extend northwarda beyond the bordera of Mexico. The vertical disfribution of the Carnivora is, of course, very different in different zonea of latitude. In Europe, in the Alps, the bata range to about 8250 feet, several species occurring at that elevation. The hedge-hog, amongat Insectivora, is met with at the same height, but the shrewa a httie lower. The black and brown bear are found in the Alps, between 5000 and 8000 feet, and the Pyrenean bear at neai-ly 9000 feet. The stoat (ermine), amongst Digitigrades, has been mot with at the height of 9600 feet. The martin, the wolf, the otter, the wild cat, and the lynx ascend in the Alps to DISTRIBUTION OP ANIMALS IN SPACE. 357 about 8000 feet, and in the Pyrenees a Uttle higher. In Northern Europe, the glutton and the wolf ascend the higheat of the Scandinavian Alpa, from whidi the latter animal frequently deacends to the plaina, when the mountains are covered with snow. In fropical Asia, one species of bat ascends to the height of 9600 feet ; a apeciea of weaael occupies a heightof 8000 feet; the tiger rangea, in Java and Sumatra, from the sea-shore to nearly 4000 feet above it, and on the continent of India pursues its prey to an elevation of 9600 feet, where vegetation loses ite fropical character. This animal, as well as the leopard and panther, frequent the naked, woodless, table-lands of Thibet, at a height equivalent to that of Mont Blanc. In fropical Africa, the Uon of the Cape dweUs on table-lands, at an average height of nearly 5000 feet above the sea ; and, at the same elevation, one of the hyenas (H venatica) pursues not only the antelopes, but even the lion and panther, attacking them in herds, and over- powermg them by numbers. In fropical America, the bear lives at 16,000 feet above the sea, on the confines of the snow-line ; the puma rangea in the CordUleras of ChiU, to the height of 11,000 feet (also cloae to the anow), whUst, in Peru, the jaguar scarcely attains the height of 3000 feet, although the ocelot is met with at double that elevation. The Amphibia, being marine animals, obey laws of distribution very distinct from those to which the land quadrupeds are subject, and may be more conveniently considered afterwards. 147 Distribution of Eodeniia. — There are in aU six hundred and four species of Eodents recognised and described, which are grouped into ninety- five genera, and these again into four principal famiUes — namely, the squirrel family (including also the beaver), the rat family, the porcupine famUy, and the hare famUy. In aU these, the species of the same group generally have a wide range in the same zones of climate, except when they are inhabitanta of high ridges of mountains, in which case they foUow the course of the mountaina, even when, aa in tbe Andes, these run from north to south. There are also examples of groups, for the most part confined to high latitudes, but re-appearing in low latitudes at considerable elevations. It is also worthy of remark, that the great mass of the South American Eodents belong to a group, naturaUy distinct from and of lower organization than the mass of the species in the Old World, and the northern parts of the New. Ofthe squirrel famUy, (153 Species,) as many as ninety apecies are tme squfrrels, ofwhich thfrty-two are East Indian, twenty-four North American, twelve from Aaia, (excluding the East Indies,) eleven Central and South American, and only two European. Of the genus Pteromys, (flying squirrels,) almoat aU the apeciea are confined to Eastern Asia and the Indian Islands, and the rest are North American. Africa is remarkably poor in aU kinds of squirrela, having only eighteen apeciea, aixteen of which are true squirrels, and two referred to a genus which has no other representativea. The Beaver, the only other well-known and intereating rodent of this famUy, except the marmot, preaenta two apeciea, the European and the North American beaver. The former is found in the rivera of temperate and Northern Europe and Aaia, between latitude thirty-aix degreea and aixty-aeven degrees ; the latter ranges on both sides of the continent of North America, but chiefiy on the eastem side, between the northem limits of tree vegetation, and the con fluence ofthe Ohio with the Missiaaippi river. The Marmots are conflned to high mountain localities, or nearly so, and are found in the Alps, in Poland, and Euaaia, in Europe ; in the hiUy region of Nopaul and Thibet, and also in the valley of Cashmere, in Aaia ; and in America, from the aixtietii paraUel of latitade, on the Eocky Mountains aa far as Texas. The Eat famUy contains 306 acknowledged species, 195 occurring in the Old World, and 114 in the New. Of aU the genera, the common rat is at once the moat numeroua and the moat widely diafributed ; its seventy-five species being distributed in pretty equal proportions through every zoological region on the globe ; one of them, the common brown rat, occurring in aU parts of 358 PHYSICAL GEOGRAPHY. the world ; others, auch as the black rat, the field mouse, and the harvest mouse, extend through Europe ; the Barbary mouse, and another species, through North Africa ; several others occur in South Africa, and otners in various parts of Aaia. The apeciea peculiar to Central and South America are, however, very few, even these being doubtfully ascribed to the genua. Of the other genera of this famUy, the common dormouse (Myoxus) occur throughout the southem and westem parta of temperate Europe, and other species in Africa and Asia Minor. The Jerboa has a range extending from North Africa into Eastem Europe, and Weatem Asia. The Hamster is another animal limited in pretty much the same way, but not extending to Africa. Beaidea the recogniaed animala of thia group, there are a number of species found in South America, which have been doubtfully ascribed to it, and requfre further examination. The group of Voles (Arvicola) axe also interesting, and widely spread. The water vole, or water rat of England, is found throughout Europe and Northern Asia, extending eastwards as far aa the river Lena, in Siberia, and northwards to the Ajctic Ocean. Other species are found in most of the countries of Europe and Northem and Western Asia, and there is also a considerable number peculiar to North America. The Lemming is a curious genus, confined to the polar regiona of both hemispheres, and the countries immediately adjacent. The third famUy of Eodents includes the common Porcupine of Europe, and some other genera spoken of under the same name, such as the Canada porcupine, and the prehensUe porcupine. The ffrst named ia indigenoua in Southern Europe, Asia Minor, and Northem India, but it occura also in Barbary, and re-appears at the Cape of Good Hope. The Canada porcupine ia a widely apread North American repreaentative, and the prehensUe porcu pine extends from the north coast of South America, as far south as Bohria. Belonging to tbe same famUy, we have also the Agouti, a weU known BrazUian genus, and the spotted cavy, found throughout the whole of South America, as far down as Paraguay. The Chinchilla, the Biscacha, the Guinea pig, the Capybara, and many other animals are also referred to it ; and, indeed, in the New World, we have as ma^ as seventy-seven species, instead of the six found in the Old World. This important fact in the distribution of the Eodents is weU worthy of observation. The fourth and laat famUy of Eodenta preaenta only two genera, the Hare and the Lagomys. The varietiea of tbe common hare and rabbit, and the speoiea of the same genus moat nearly alUed, may be said to inhabit the north temperate portiona of the eastem hemisphere generaUy, some being confined to the warmer parts, but others ranging quite up to the Arctic Cfrcle. Some species occur also in India, others in North Africa and E^pt, others in Asia Minor, Sjrria, and Arabia, and others again at the Cape of Good Hope. There are in aU twenty -two species distributed in this way, and fourteen in various parts of North America, from the Arctic Cfrcle to Texas. One species only is met with in South America, and this ranges throughout BrazU, and extends to Peru, Bolivia, and Paraguay. The genus Lagomys, is, with one exception, confined to the Old World, and chiefly to the northern exfremity of it, although an 7\merican species is found on the Eocky Mountains, between the forty-second and sixtieth paraUels. 148 Distribution q/'EiTMiNANTiA. — The animals of this order, which is one of the most natural and best deflned of all the primary groups of quad rupeds, are distinguished from aU others by the existence of four stomachs, arranged for the act of ruminating or ' chewmg the cud.' They are aU essen tiaUy herbivorous; they have cloven feet ; and it is only amongst them that apeciea are met with whose foreheads are armed with true horns.* There are in aU nine genera, repreaented by the Camel, the Llama, the Musk-deer, * The horn of the rliinooeros consists of parallel horny fibres, scarcely indicated on the ekuU, and belonging only to thc skin. DISTRIBUTION OP ANIMALS IN SPACE. 359 the Deer, the Giraffe, the Goat, the Sheep, and the Ox, respectively : they are most numerous near the equator, but are disfributed over all latitudes in the northern hemisphere, as far as the Arctic Cfrcle. They are, however, totaUy absent in AustraUa, New Guinea, the South Sea Islands, and Madagascar. The greatest number of species of Euminants occur in Asia and Africa, each of these counfries possessing more than one-thfrd of all the species, so that, on the whole, the Old World possesaea as many as 128 apeciea, whUe in the two Americaa tiiere are only twenty-three species. Of the particular genera, the Camel is a native of Asia, and now extends over Arabia, Syria, and Asia Minor, to the foot of the Caucasus, the south of Tartary, and India. It extends alao in Africa, from the Mediterranean to the Senegal, and from Egypt and Abyssinia to Algiers and Morocco, and it abounds in the Canary Islands. The Bactrian camel, distmguished by its two humps, its rougher and shaggier hafr, and sfronger and more muscular frame, is almost unknown in South-western Asia, but abounds in the countries north of the Taurus and the Himalayan Mountains, extending, it is said, to the borders of China. The Llamas, the camels of the New World, present three species, differing from the true camels, by being much smaUer, and having no hump on the back. They are cbiefly "distributed on the westem side of the Andes, extending from Venezuela and New Granada, through Pem, BoUria, and ChUe, into Patagonia, and even to the wooded islands of Tierra del Fuego. The Musk-deers, of which there are seven species, are distributed in various parts of Asia, chiefly south of the Himalayans, but two species are found in Africa. The whole group ia distinguished by the absence of true homs. The tme deers have sohd horns or antlers ; they include on the whole thirty-eight species, twenty-eight of them being found in the Old World, and of these, twenty-one in the East Indiea. The largest of the genua, the elk or mooae deer of America, inhabita the colder regions both of the Old and New World ; the European elk, a distinct species, is found iu the forest regions of Scandinavia, Eastern Prussia, Poland, Lithuania, and Eussia, extending eastwards into Asiatic Tartary, and southwards to the Caucaaua ; the reindeer haa ita southemmoat limit in America, in latitude fifty degrees north. but ia most abundant between 63° and 66° north latitude. In Asia it traverses Siberia and Kamschatka, and in Europe is found in Iceland, Spitzbergen, Scandinavia, and Northem Eussia, but chiefly in Finmark and Lapland. The FaUow-deer inhabits central Europe, aafar aa flfty-three degrees north latitade, but extends alao to the north of Peraia and China, and ia found in the northem part of Africa, aa far south as Abyssinia. The common stag or red-deer is also a native of the temperate countries of Europe, but ranges ten degrees farther north than the faUow-deer, and has not been found south of the Caucaaua. It occura in Siberia, from the Altai Mountaina to the Lena Eiver. The roebuck ia also vridely diafributed in Europe, as far as fitfty-eight degrees north latitade, and in Asia, eastwards to the Eiver Lena, and south wards to Peru ; it is common in the north of England, and in the north of Scotland, but is uiiknown in Ireland. In North America there are six apecies, and in Central and South Anierica eight, one species being common to the two Americaa. The moat remarkable is the Vfrginian deer, which ranges from Canada, as far south as Lomsiana. The Gfraffe is an isolated genus exclusively confined to Africa. There are two species, one inhabiting Nubia, Abyssinia, and the countries near Lake Tchad, the other a southem species, found in south lat. 29°, near the Orange and Lion Eivers. Africa is alao the head-quartera of the Antelopea, containing thirty-four apecies, whUe Asia has only ten, Europe two, and America one. 'The European antelope, the Cha/mois, inhabits the alpine dis tricts of Europe and Westem Asia, being found in the Alps, Pyrenees, the Tafra, the mountains of Greece, the Caucasus, and the Tauras. The Goats, 360 PHYSICAL GEOGRAPHY. like the European antelopes, inhabit alpine countries, and of these the Ibex is well known, and ranges even to a greater height than the chamois, being found occasionally even above the snow line. The greatest numberof species of the goat famUy are Asiatic, and only two are met vrith in the New World. The Sheep are considered to have inhabited origmally Westem Asia. There are in all twenty-one species, thirteen of them Asiatic (excluding the East Indies), and five East Indian, there are also two in the Eocky Moun tains of North America. In a domesticated state they have been introduced into most parts of the civilized world. The Bovine tribe (oxen), of whieh there are thfrteen species, comprise the largest of ruminating animals, and are widely distributed over most countries of the globe. The Buffalo, long known as a domesticated animal in India, has spread westwards to the westem extremity of Europe, and eastwards to the islands in the Pacific Ocean. The Cape Buffalo is a much more ferocious animal, wandering in large herds over extensive disfricts in South Africa. The two American species, the bison and the musk ox, are both confined to North America, the former extending from New Mexico and California to about 64° north latitade, while the latter is peculiar to the frozen regions of the continent, its southem range com mencing where the bison terminates, and extending thence over the barren regions of the Polar disfricts to MelvUle Island, thus attaining vrith the rein-deer the highest latitude of any known species of ruminant. The vertical diatribution of ruminants is not uninteresting, the Chamois and Ibex reaching in the Alps to the snow Une (8900 feet), while oxen graze and sheep pasture within a thousand feet of this elevation. The common stag in the same parts of the counfry reaches only to 7000 feet, and the fallow-deer to 6000. In the table-lands of Central Asia, the goate and sheep not only reach the height of from 10,000 to 16,000 feet, but one species is described as bounding Ughtly over the encrusted snows of tbe higher ridges of the Himalayan Mountains, where its human pursuers find it difficult to breathe. Another species, the Yak, seems actuaUy limited to districte where the temperatare is below that of the freezing point of water, and even the Bactrian camel attains in the table-landa of Cenfral Aaia a height at from 3000 to 5000 feet above the sea. In South America, the Llama inhabite the bleak and rocky precipices ofthe Andes and regions bordering on the limit -of perpetaal snow. In the cold cUmate of Patagonia these animala approach the vicinity of the sea, but further north large herds attain (as on Cmmborazo) a height of 15,800 feet, and on the BoUrian Andes an elevation of 18,000 feet. 149 Distribution of the Pachtdbemata. — Of this famUy there are nine genera containing thirty-nine species. Only one species (Sus — ^the swine) ia indigenous in Europe, whUe nineteen are Asiatic, tweniy African, and seven American. Besides the S?rine, the Asiatic genera includea the Elephant, Ehinoceros, Tapfr, and Horae, and to these in Africa are added the Hippo potamus, Hyrax, and Phascochoerus, whUe in America we have only the - Peccaries and Tapirs. The animala of this order are not only few in number, but much smaUer in size in the New World than in the Old. In North America they are totaUy abaent, and so also are they in AusfraUa. On the other hand, m Africa they are singularly abundant, and highly characteristic. If we refer to the particular genera, we find the Elephant inhabiting the whole of the peninsula of India, the Birman Empire, and Siam, extending alao to Cochin China. It aacenda the Himalayan Mountains to the height 01 6000 feet, and reaches southwards to the exfremity of Sumafra, although it has never yet been proved indigenous in Java or Borneo. The African species reachea from tlie Mountaina of the Moon nearly to the Cape of Good Hope, thua ranging in the weatern part of the Old World from 31° aouth latitudo to 13° north, nnd in the eastern part from 6° south latitade to about 30° north. The Hippopotamus at present extends from the Orange Eiver, near the Cape of Good Hope, to the upper Nile in Dongola, and occaaionaUy still farther north. The Ehinoceros is more subdivided into species than the DISTRIBUTION OF ANIMALS IN SPACE. 361 elephant or hippopotamus, there being four African and three Asiatic ; it is conflned to nearly the same Umits aa the elephant, but extenda a little farther north into China, and also into Java. The common or one-horned African species, and the corresponding one-horned species in India, are the most widely distributed, the others are smaller and chiefly found in the interior of the country. The genus Sus (or svrine) is disfributed into three groups, the European-Asiatic, the Indian, and the South African. The first contains only the common swine, which ranges from the shores of the Atlantio to the Pacific, extending westwards from the borders of the Sahara to the Baltic prorinces of Eussia, and eastwards from the Gulf of Tonquin to Lake Baikal in Siberia. The other species are far more narrowly distributed, one of them forming a passage to the Tapfrs, and another nearly confined to South Africa, and extending into Madagascar, where it is the sole repre sentative of the whole fribe. The Hyrax (daman) is a singular and interesting genus of pachyderms, approaching the rodente in some respects, and at present only known in South Africa, in the counfries bordering the Nile, and in Syria. The Phascochcerus (warthog) is also exclusively African, inhabiting the coimtry between Abyssinia and the northem exfremity of the Cape Colony, and rare even vrithin these Umits. The other Pachydermatous group of the Old World ia that which includes the Horse, the Ass, and tiie Zebra. It ia not possible now to determine the original Umita of the teue horse, though it appears to be a distinctly Asiatic species. The ass seems characteristic of Cenfral Asia, and the zebra is pecuUar to Africa, where there are several species ranging southwarda aa far as the Cape of Good Hope. The only remaining Pachyderms are the Peccaries and Tapirs, the former abaolutely confined to South America, the latter chiefly characteristic of that continent, but not uncommon in the islands of the Asiatic Archipelago. The Peccaries inhabit denae forests, and extend from the peninaula of Yucatan in Cenfral America to Paraguay, cUmbing the eastem alopes of the Andes to the height of six thousand feet. The common American tapfr is met vrith from Nicaragua (latitade 14° north) to the Pampas of La Plata, in latitude 40° south, and aacenda the Andea to as great a height as the peccaries. Another species inhabits chiefly the most elevated parts of tiie Andes of New Granada. igo Distribution of the Edentata and Marsupialia. — Of tiie former of these remarkable groupa there are six recognised genera, four of them confined to the New World, one occurring only in Africa, and one (Mamis) reaching into Asia. South America contains three times as many species as aU the remaining countries of the World, and ia in every respect the metro poUs of the order. We ahaU see also in a future chapter that this distribu tion has long obtained. The prindpal genera ofthe Edentates are the Sloths, the Armadillos, and the Ant-eaters. The former rangea from the southem Umite of Mexico as far south as Eio Janefro ; and from the eastern coast to the slope of the Andes there are four species, aU inhabiting the frees of the gigantic and primeval forests of those countries. The armadiUos, ofwhich there are eleven species, range in Uke manner through Central and Southern America, they vary in their habits, Uving in the plams as weU as on the table-lands, and extending into the lower regions of the Andes to the height of about 3000 feet. There is one remarkable and closely alUed genus (Chlamyphorus) inhabiting ChUi and La Plata, and intereating from the enormous atrength exhibited in ao smaU a frame. The American ant-eaters, the largeat of the Edentata, are leas widely distributed than the sloths and armadillos, both in vertical and hori zontal space. The Edentates of the Old World number only five apeciea in aU. The African genua includes one ant-eater (Orycteropus) very different from the American species, and extending from the Cape Colony to Congo. The Pangolin, or scaly ant-eater (Manis), has fom' species, and ranges from the 362 PHYSICAL GEOGRAPHY. Senegal in Africa, in a narrow band southwards to the equator, occurring also in North-eaatem India, and thence eastward to Formosa, and in the islands of Sumafra, Java, Borneo, and the Celebes. As South America is the country of the Edentates, so on the continent of AustraUa and its adjacent islands we find the great majority of the Marsupial tribe, although of these also a few representative forma have been found in America. The whole order has been divided into eight famUies, which present a remarkable diversity of structure, and consequently of habit, some species amongat them being herbivorous, aome carnivorous, and others insectivorous. AU, however, present the striking pecuUarity of the order — ^namely, the pre mature bfrth of the young, and the existence of a kind of bag or pouch, situated beneath the beUy of the female to receive them at thia period, and retain them for a considerable time even after they have grown to a large size. The Ornithorhynchus and Echidna, two of the most remarkable animals known, form one group of the marsupials, and are almoat confined to South- eaatern AuafraUa and Van Diemen'a land. The Kangaroo family, whichnmnbers not fewer than forty apeciea, are very vridely diatributed in Ausfraha and New Guinea, and have been said to occur in Java. The Wombats, ofwhich there are two species, are found chiefly in the southem and eastem part of Ausfrsilia and Van Diemen's land. The Phalangers are vridely distributed not only in AustraUa but in New Guinea, and many of the Asiatic islands, extending even to the Celebes. The Dcmjuridie (including the Thylarinus, or Ausfraiian dog) are limited to New South Wales and Van Diemen'a land, while the Opossums are an excluaively American famUy, extending from the southem Umita of Canada to the thfrty-aixth paraUel of aouth latitade. They are nearly conflned to the eaatern side of the continent, and one, a Brazilian species, Uves in the water. The whole number of species of marsupials may be estimated at not leaa than 126 ; and the group found in Ausfraha is the more important from the absence in that country of other mammals, and the number of representative forms of various tribes which it includea. 151 Distribution of BiEDS. — ^Bfrds, Uke other Vertebratea, exhibit the greateat number of species in the fropical cUmates, with the partial exception, nowever, of the continent of Europe, which contains 490 apecies, whUe, although fropical America haa 624, fropical Aaia preaents only 450, and Africa only 211. North temperate America affords in aU 178 species, and the north frigid zone in America as many as 103. There are, also, other apparent anomaUes when we examine the different orders in detaU ; as, for example, there are 186 European species of Oscines (singing-bfrds) and 112 of Natatores (swimmers), whUe in fropical America there are 319 of the former and only 26 of the latter group. Europe and tropical America possess the greatest number of bfrds of prey, and the cUmbers and songsters are most abundant in the latter country. Tropical Asia presente the greateat number of Gallinacece, and Europe the greatest number of waders and swimmers. If we take the particular genera, we flnd amongst the bfrds of prey the Vulture tribe the most remaMable, and the largest of aU flying bfrds. The habitat of the Condor, of which individuals have been found in the Andea of Quito measuring fifteen feet from tip to tip of the vrings, is exclusively confined to the vicinity of the Andes, and breeds at an elevation of from 10,000 to 15,000 feet above the sea. Humboldt, on one occasion, saw this enormoua bfrd fioating over the aummit of Chimborazo at an elevation of upwards of 22,000 feet. The species ranges from the Sfrait of Magalhaens to 7° north latitude. Of the other vultures several are American, and there are also species dispersed through Africa and India. The bfrds of prey of Europe include five vultures, thirty-four hawka, and fifteen owls, many of them extending into North Africa and Asia. The greater number of speoiea occur in the south of Europe, and as many as twelve range through various parts of tho Alps. These include one vulture, two eagles, five hawks, and four owls. The order of eUmbiiig birds, including the parrots, cuckoos, king-fishers, DISTRIBUTION OP ANIMALS XN SPACE. 363 and others, are chiefly confined to the fropical zone ; but they also occur abimdantly in the southern hemisphere, vmere they extend to very high latitadea, reaching even beyond New Zealand as far as Macquarie in latitade 56° south. In f£e northern hemisphere they attain in the United States the latitade of 42° north. Forty apecies are found in the fropical regions of South America, while only three inhabit the opposite coast of Africa. The Bfrds of Paradise, a small but very remarkable group, are Umited to a few islands in the neighbourhood of New Gumea, migrating according to the monsoons. The Toucans, and some other groups, are also confined within very narrow Umits. Of European cUmbers there are twenty-three species, some of them, as the Woodpecker and Hoopoe, ranging throughout the whole continent, but others more local. Eight of them inhabit or fraverse the higher parts of the Alps. Of tiie order of songsters (Oscines), ihe Humming-bfrds, the smaUest and most brUliant of the whole tribe, are aU natives of America, and chiefiy of the fropical portions of that country, but they range to the height of 10,000 feet on the Andes, and have been met with breedmg in the Island of Juan Femandez (33^° S. latitade), and as far north as latitude 61° on the shores of Behring's Sfraits. Of the 186 «peoies of this order found in Europe, as many as 100 belong to the typical genus from which the order has received ite name, and which are aU of them song-bfrds. Forty -three of these extend into Africa, and ten reach to fropical Asia; there are also ten European species of Larks; forty- three of Finches, ofwhich one, the common Sparrow, extends over moat parts of the known world ; twenty-eight Nut-hatchers, including amongst them aix apecies of Corvus (crow), and five species of SwaUow. These are aU of them pretty generaUy disfributed throughout the coimtry, and range alao into the adjoining continents. The gallinaceous bfrds are far more numerous in the Old World than the New, the greatest number of species (72) being found in tropical Asia, and some of these being now domesticated in almost every country. The Pheasant thus extends, in its natural diatribution, from the Caucaaua through Cenfral Aaia to China, and southwards as far aa Java; the Peacock is a native of India ; the Pigeons (of which six species are European) extend into the two-great continents ; and the Turkey is pecuhar to the New World, its proper limite appearing to be from the lathmus of Panama to the north western exfremily of the United States. It does not appear to be indigenoua on the weatem aide of the Eocky Mountains, or in South America. Only twenty-eight species of the order are found in Europe, and many of these are not natives ; but the grouse, the pheasant, the common fowl, the pea-fowl, the partridge, and many others are ofthis kind, and are too weU known to require further aUuaion. Two species of pigeon, four of grouse, and two of partridge, have been found amongst the higher passes of the Alps. The order Grallatores, or waders, is most abundant in the north tem perate zone, but by far the moat remarkable species occur in fropical and southern countriea — thua, the African and South- American Ostrich, and the Auafralian Emu, aa weU as the Cassowary, are amongst, the most exfraor dinary, as they are the most gigantic of birds. The former (the ostrich) has a tolerably wide range, and haa been met vrith to the height of 7000 feet, on the high plateau of the UspaUata Mountains, in South America. One South American species extends to 54° south latitade, and the African species ranges from the Cape of Good Hope to Barbary, and has extended as far as the southern declivity of the Caucasus, and the shorea of the Black Sea. The most numerous European genus is that which includes the Snipes, of which there are thirty-eight species, sixteen of them extending into North Afiica, and twenty-five into Siberia. The Ibis andthe Flamingo are recognised species in Europe, but belong to Africa and Asia. Tbe Natatores, or swimming birds, including the ducks, peUcans, penguins, guUs, and many others, are, Uke the waders, more abundant in European than tropical latitudes. There are one hundred and twelve 364 PHYSICAL GEOGRAPHY. European species, of which forty-four belong to the duck genus, and thirty. three to the guUs, of each of these more than half extendu^ into Asia. The Eider-duck is an intereating and important species, chieffy inhabiting the shores of the Arctic Ocean, and the land immediately adjacent, extending in Europe to the Orkney Ialanda, and even into Germany, and in America to the latitude of New York. The migration of birda is a fact in thefr natural history^ which fbUy accounts for the vride extent of country over which many species are found. Some proceed to very distant spota in aearch of food, or at, the breeding aeaaon, and many of the sea-fowl are found oyer many thousand mUes of ocean, and are rarely seen to rest, whUe other birda, althongh not naturally migratory, proceed from one spot to another on the occasional faUure of food in their natural district. The habits of bfrds in migrating are very different, some going singly, some in smaU groups, others in flocks of many thouaanda. When in great multitades, they generaUy have a lea,ier, as in the caae of the swaUows and martins ; but when the groups are smaUer, the bfrds often fly in very regular order — wUd geese, for example, in the form of a wedge. The swift, a remarkable bfrd in its power of suataining rapid and long-continued flight, ia said to proceed at the rate of one hundred mUes per hour, and the wUd duck and wUd pigeon four or flve hundred mUes in a day. Migrating bfrds generaUy retum to the aame apot, within a few days of the same time of the year, and often occupy the same nest for successive years. 152 Distribution qf Eeptiles. — Of the existing ordera of reptiles, the Saur-ia, including crocodUes and lizards, number two hundred and three species; the Chelonia, or tortoises, sixty-nine species; the Serpents two hundred and aixty-flve species, and the Batrachians (froga), one hundred and twenty species — making in aU six hundred and fifty-seven. Of this number more than twice as many are fouud in the countries of the torrid zone than appear in temperate cUmates. Tbe Chelonia are most numeroua in the United Statea, where there are nineteen, in Brazil (fifteen), and in the Indian islands (thirty-three). In Afr-ica (Barhary) there are aix species, and in Europe, except in Italy and Turkey, only three in aU. Tbe Sauna include thirteen species of CrocodUea, nine of them American, and four Aaiatic and African. Tie remaimng Sauria are far more vridely diatributed in Africa and South America than m the reat of the world, BrazU being the richest in species, and containing in aU as many as forty-two. Serpents are far the moat abundant in the East Indies and in Cenfral and South America, and most of aU in the Island of Java, where no lesa than fifty -aix species have been determined, whUe in the adjacent Island of Borneo there is not at present a single one known. The Batrachians are most numeroua in Cenfral and South America, but thfrty-nine species are North-American, and twenty-three European. Asia, Africa, and AustraUa show a remarkable absence of the animals of this order. GeneraUy, reptiles may be regarded as more Umited to warm climates than any other animals, and better able from thefr sfructare, and the slowness of thefr cfrculation, to bear the extreme rigour of an excessive climate than the absence of hot summers that characterizes island countries. Of the Chelonians, the common marsh tortoise of Europe attains the highest latitade, extending in Prassia to lat. 52° north, whUe a corresponding species in North America reaches to 50° north. Some of the sea-turties have been met with in the northem hemiaphere, even so far north aa the Shetiand ialanda (lat. 60° 30"), but the uidividual in queation may probably have been drifted thither by atorms, ita uaual range being only to the shores of France, to about the fiftieth paraUel of latitude. The species thus obaerved (the hawk'a-bill turtle), fumiahes tbe homy plates usually known in commerce as tortoise-shell, but the principal fishery of these ammals is in tbe Moluccas, and other islanda of the Indian Arobipelago, and the islands of the West Indies ; the former, however, being the most important, since tbe shell ia the most valuable. The green turtie, used for food, is a apecies inhabiting the tropical pai-ts of the Atlantio Ocean, and attaina a large aize, often DISTRIBUTION OF ANIMALS IN SPACE. 365 weighing six or seven hundredweight. The fresh-water tortoise is very abundant in North America, where there are fifteen species determined ; the land tortoises, on the contrary, are chiefly African, although there are several European species. The Crocodiles aie divided into three groups — named respectively. Alli gators or Caymans, tme crocodUes, and Garials or Gavials. The firat group are exclusively American, and' have a vride range of distribution, extending from the United States, in lat. 32° 30" north, through Cenfral America, and southwards into BrazU and Paraguay, in lat. 31° south. They are amphibious, chiefly inhabiting the estuaries of great rivers, and rarely leaving the fresh water. They are very fierce, but chiefly prey in the night, and the South American species are considered less dangerous than those of the Mississippi. The African crocodUes extend from Congo to Senegambia on the west, and Egypt on the east, the common crocodUe of the NUe being disfributed over nearly the whole river disfrict, and throughout Nubia and Abyssinia. The Aaiatic crocodUe, or Garial, extends from the north-western coaat of Ausfraha, through the Indian Archipelago to Hindustan, where it is exceedingly abundant in the Ganges and other great rivers. The Lizards (including the monitors, iguanas, chameleons, bUnd-worms, and true lizards) range some what more widely than the former group, and many of them, as the chame leons and monitors, are absent in America. The Chameleons form an interest ing African and Asiatic group, extending over many parts of the south of Europe. The Geckos and Iguanas are greatly multiplied in BrazU, but range also in other countriea. The Monitora are chiefly Aaiatic ; and one, sometimes caUed the land crocodUe, chiefly inhabits Africa and the Indian Archipelago. A neariy aUied genua ia found in Guiana, where it attains the length of aix feet. The Skinka are diatributed like the Iguanaa, being chiefly abundant in Africa and South America ; but there are ten apecies inhabiting Europe. The Serpents are totaUy abaent from the ialanda of the Paciflc, and most widely diafributed in the adjacent islands of the Indian Archipelago — a very remarkable fact in the general diatribution of animals. It is also well worthy of careful attention, that although many apecies of the order are widely dispersed in various parts of temperate Asia and Europe, no species is common to Asia and America. AusfraUa is almost vrithout representatives, (there being only eleven species in aU, and these pecuUar,) and Japan has six species, also peculiar. America and Asia, between the fropics, preaent by far the largeat number of apecies, and Africa is remarkably poor in species, although the few that there are seem very widely spread. Of the two divisions of serpents, the harmless and the venomous, the number of species of the former ia three and a-half timea as great aa the latter, but vrith the exception of weatem Europe and Madagaacar, scarcely any country is without some apeciea of both. The Frogs extend further than any other reptiles towards the polar regions, reaching in Finland nearly to the Umit of perpetual ground-frost. In the New World, however, some of them extend even beyond this line in Greenland and British America, existing on the bank%of the Mackenzie Eiver, up to the sixty-seventh degree of north latitude, where the mean temperature is not more than seven or eight degrees Fahrenheit, and where the cold in winter is so excessive, that the thermometer sometimes sinks to more than 90° below the freezing point of water. In the southem hemisphere a frog was found by Mr. Darwm in latitade 50° south, on the banka of the river Santa Cruz. Within the fropics Crocodiles and Boas are found on the Andes of Quito, at an elevation of 3000 feet ; and a remarkable reptile, the Axolotl, occurs in Mexico at the height of 8000 feet. In the Alps there is a frog Uving in the vicinity of the snow-line, and various other reptUes of the same order between 4500 and 6000 feeti In the Pyrenees, the common frog is found at 8000 feet. If we take the distribution of individuals we shaU find by far the most 366 PHYSICAL GEOGRAPHY. abundant locaUty to be the Island of Java, after which BrazU, the southem States of North America, the Island of Sumafra, the Celebes, Egypt, South western Europe, and North-eaatem India may be mentioned aa the places where reptUes chiefiy abound. iS3 Distribution ofthe Maeine Veetebeata. — This group includes the whale tribe, the seals, and a single genus of reptUes, in addition to the vaat and important claaa of true fiahes. The whalea form two groupa, the herbi vorous whales (^eLamardin and Dugong) and the ordinary whales, including the Dolphin, the Porpoise, the Narwahl, the Cachalot, and the Balama, or Whalebone whble. All theae suckle thefr young. The lamantin, or sea-cow, is chiefly Umited to the mouths of rivers m the hottest parts of the Atlantic Ocean, the American species being distinct from the Amean, but both occa sionaUy attaining the length of fifteen feet and upwards. The dugong inhabits the Indian Ocean, and there ia also an aUied genus found in the Pacific. The spouting whales are very widely spread through the various parte of the great ocean, but there is no famUy of mammaUa more difficult to obaerve, in spite of thefr frequently gigantic size. Amongst them the dolphin is seen in almost every latitude, and the porpoise is ahnost as widely spread, bnt par ticular species appear to be, and probably are, very much more limited. The Grampus is the largeat species of this group, and abounds both in the Atlantic and Pacific Ocean. The Cachalot and Balsena are, however, much larger, attaining the length of from sixty to seventy feet, and the Eorqual (a whalebone wrhale) has been met vrith having a totsil length of as much aa one hundred feet. The former appears to range from the limite of the Arctic nearly to the Antarctic Ocean, but thefr chief resort is in the deepest parts of the warmer seaa near the tropica. The whalebone whales are chiefly found in the colder seaa, but appear to travel to warmer latitadea in aearch of food. The Seal tribe present a number of species of which the common seal and the morse are the best known; they are both chiefiy confined to the polar seas and desert islands in high latitudes, but some of them have a very wide range, especiaUy in the southem hemisphere. The distribution of the frue fishes, Uke that of the marine mammalia, is chiefiy known aa far only as regards the species used by man. Thus, the cod, the herring, the salmon, the pUchard, &c., have naturaUy atfracted attention, and thefr habits of migration and the nature of the spots they select for feeding ground, are tolerably weU known, but of the vast multitade that herd on the various shores of the different counfries in the world, or that dweU concealed from observation in the deeper parta of the open ocean, it is scarcely possible to determine at present their true geographical or climatal Umits, or the law of .thefr disfribution. Of the varioua natural tribea of these animals, some are certainly migra tory and some conatantly confined to narrow limite, but the greater number have a wide, although by no means indefinite range. The former pass from one ichthyological province to another, according to the season and the abundance of food, or the necessities of breeding; but these provinces, although indicated, have been only partiaUy determined. The most exten sive includes about forty degrees of latitude on both sides of the equator, in the Pacific, and this ia fianked by the northern and aouthern portiona of the great ocean. The Atlantic presente a similar division, and there are many local and peculiar marine faunas in the great bays and gulfs near the mouths of great rivers, in the principal inland aeas, and in the various rivers themselves. Somewhat more than eight hundred and fifty apeciea of fishes have been described from European seas, rivers, lakes, and coasts, of which two huudred and ten inhabit fresh water, and of the whole number two hun dred and sixteen are Britiah, and as many as four hundred and forty- four of the marine species are Mediterranean. Comparatively few of this number extend to America, stiU fewer are foimd m the Eed Sea, and DISTRIBUTION OF ANIMALS IN SPACE. 367 scarcely any reach to the Indian seas. It is remarkable, also, that the Black Sea, which communicates dfrectly vrith the Mediterranean has a distinct fauna, and the Caspian another, also pecuUar to itself. The great lakes of Central Asia and of North America, most of the great fropical rivers in both continente, and many other smaUer areas of water, appear to be more or less isolated. Although, in number of species, the southem seas of Europe and the warmer parts of the Atlantic are richer than the more northem disfricts, this ia by no meana the caae with regard to individuals, or even the fribes moat uBeful to man; and, indeed, in thia matter, there seema a certain balance struck between the cold and warm regions ; for whUe Italy and the aouth supply fruits and vegetables in enormous abundance, the northern shores and banks are eagerly watched for countiess myriads of fish, which are dried and exported as food for the inhabitants of warm countries. Thus the banka of Newfoundland, and the Dogger Bank, in the North Sea, where there is shoal water and shelter, are crowded with cod in the month of February to auch an extent, that in the latter locaUty as many as sixteen millions of fiah have been caught in one place within a few weeka, and in the former, the produce of the fiahery for a single season has amounted to forty thousand tons weight. The pilchard, in point of numbers, is still more remarkable, as it has been eatimated that, on one occaaion, twenty-five mUliona of fish (ten thousand hogsheads) have been taken on one shore in one port on a sinrie day. It ia by no meana the caae, however, vrith theae and many other fishes which migrate from one sea or part of a sea to another, that they can readUy fransport themselves to great distances. The confrary is rather the fact, as the pUchard and the herring are reaUy limited to very narrow areas of sea, although appearing only at particular seasons, when impeUed by instinct to the shores for the purpose of spawning; and ao with othera, where the migra tion is rather in vertical than horizontal space. The limits of distribution of fish in vertical space seem to be very strictly defined. Some swim always near the surface, and, like the fiying-fish, appear to rejoice in exposing themselves to the afr, whUe others are still more nearly amphibious, and, Uke eels and an Indian species of perch, can transport themaelves for some distance on land, or attach themselves to the shelter afforded by particular trees growing near water. Others, again, are httoral, inhabiting shores in moderate depth of water; but others, although found near shore, are, like the plaice and many fiat fish, always buried in the mud or moving at the bottom. Many others, again, rarely or never approach the shorea, but remain constantly in deep water ; amongat theae are the aharks. Mr. Yarrell has remarked, ' that those fish which swim near the surface of the water have a high standard of respfration, a low degree of muscular irritability, great necessity for oxygen, die soon — almost immediately when taken out of the water — and have fiesh prone to rapid decomposition. Mackerel, salmon, trout, and herrings are examples. On the confrary, those fish that Uve near the bottom of the water have a low standard of respfration, a high degree of muscular irritabUity, and less neceaaity for oxygen; they austain life long after they are taken out of the water, and thefr flesh remains good for several daya. Carp, tench, eela, the different aorts of skate, and aU flat fiah may be quoted.'* With tenacity of life is connected the exfraordinary power observed in aome fiahea of enduring exfremes of temperatare, and thus the gold fish, a native of China, not only Uves, but thrives to excess, in water whose, tem perature is constantly as high as eighty degrees Fahrenheit. Other species have been found in hot springs in various counfries whose temperature ranges between 110° and 130° Fah., and Humboldt and Bonpland perceived * Yarrell's Britisli Fishes, 1st edition. Introduction, p. xiii. 368 PHYSICAL GEOGRAPHY. fishes thrown up aUve from the bottom of a volcano, in South America, along with water and heated vapour, the thermometer showing a temperature within two degrees of the boiling point of water. The enduring power of fishes with regard to cold is, perhaps, stUl more remarkable, for Mr. Jesse speaks of a gold fish frozen with the water, in a marble basin, into one solid mass of ice, and yet, within a few hours of the ice having been thawed, the fiah recovered, and was soon as Uvely as uaual. The carp alao, to which the gold fish ia nearly alUed, is well known to have remarkable power in this respect ; and perch, as well as other fishes, are weU able to sustain the congelation of the water surrounding them, vrithout permanent injury. 154 Distribution of the Inveetebeata and AETiOTri.ATA. — The Inverte brate animala are not lesa remarkable in thefr peculiarities of habit, and the limitation of their nataral range, than the more highly organized groups afready considered ; and though aome of them, as the Sepias, or cuttle fish, range freely in all parta of the ocean, or hke the butterflies, flit about in the afr and proceed Uke bfrds to distant countriea, others are far more Umited, and exhibit few capabUities of extenaive or distant range. Thus, whether we con sider the flying species, those which inhabit the surface or soU of the land, or the enormously larger and more important group, the marine invertebrata, we everywhere find natural limits of range, botii in horizontal and vertical space, the increase of depth in the sea answering to greater elevation on land. The Articulata, including insects, crustaceans (crabs and lobsters), and worms, are distributed in comparatively narrow and limited areas, so that a vast number of apecies have been determined, often differing very shghtly from each other. In high latitades, insects are very few, both in apecies and indiriduals, except during the short summer period, wtien certain tribea, as mosquitoes, fleas, and others, multiply with enormous rapidiiy, and prey upon aU larger animals. In North Europe, and, indeed, in Europe generaUy, the number of species is much larger, and the variety far greater, and this increases as we advance towards the equator, but diminishes again in fropical Africa, whUe South Africa, the African and the Indian islands, are aU richly suppUed with these animals, althongh by no meana to such an extent aa Cenfral America, which perhapa in some parts may be regarded as the tme mefro- poUs of the class. Beetles, however, generaUy, are much more abundant in temperate than in fropical climates, and this is especiaUy the case in the northern hemisphere. The causes that seem chiefly to affect the distribution and range of insects are — first, food ; secondly, temperature ; thfrdly, prevaiUng wmds ; and fourthly, elevation above the sea. With regard to the first, aa aome insects feed upon Uving vegetables, these are necessarUy limited to the range of such plants, and uauaUy become infroduced by man into thoae distant countries into which the plants are conveyed. More than two-thfrds of the whole number of species are conaidered to be thus dependent dfrectiy on the vegetable kingdom. Temperature also acts indfrectiy by modifying the nature and amount of food, and in this way, aa weU as by immediate action on the animals themselves, produces a conaiderable change. It ia, however, pretty certain that extremea of temperatare have chiefiy to be regarded in considering the dfrect action of climate, as where tiiere is considerable summer heat many of theae creatures wUl easUy vrithatand the action of the greatest reduction of temperature, even in the polar regions. The common mosquito, the flea, and the common fly, are examples of this. Mountain chains form natural barriers to the passage of most kinda of inaecta. As an example of the extent to whieh insecte are sometimes multiphed; and, therefore, of the way in which they may be said to affect the aspect of any fauna, we need only refer to the foUowing account of the condition of some of the great rivers of fropical Anierica, and the swamps near thefr mouth. According to Humboldt, ' there is no rest in theae apots at any hour of the day or night, or at any season of the year, so that whole districts are absolutely "left desert from tbe impossibUity of enduring life under such DISTRIBUTION OF ANIMALS IN SPACE. 369 torture. New species foUow one another with such precision, that the time of day or night may be known accurately from their humming noiae, and from the different sensations of pain which the different poiaoua produce. The only reapite ia the interval of a few minutea between the departure of one gang and the arrival of thefr successors, for the apecies do not mix. On eome parte of the Orinoco, the afr is one dense cloud of poisonous insects to the height of twenty feet. It ia singular that they do not infest rivers that have black water, and each white sfream is peopled with its own kinds ; though ravenous for blood, they can Uve without it, as they are found where no animals exist.' In BrazU, the quantity of insects is ao great in the woods, that thefr noise may be heard in a ship at anchor some distance from the shore. The torrid zone not only produces the most noisy, but the most brilliant and the most powerfiU insects. Amongat the former are the butterflies of Africa, the East Indies, China, and America, which rival the lustre of metals in thefr colours ; and here also the forests, peopled witb mUUona of fire-fiies of various kinds, present to the eye an appearance almost Uke that of an immense confiagra tion. The Termes, or white ants of Africa, buUd soUd hUlocks, and in the course of an incredibly short time can remove every particle of fiesh even from the carcass of an elephant; they are so destmctive in South America, that there is said to be not a manuscript in that country a century old. Spiders also, although there are more species in Europe than elsewhere, attain a gigantic size only in hot counfries, where, as in Guiana, a species is found large enough to catch and devour bfrds. The migration of insects, Uke that of bfrds, is necessarUy obscure to a certain extent, but fribes of Locusts are known occasionaUy to transport themselves from one counfry to another, in a maaa ao denae and ao large as to form a visible cloud in the afr, darkening the aun'a Ught, and making with the beating of thefr wings a sound which is said to resemble the distant murmur of the aea.* The main body when thus compacted, sometimes proceed to great distances, crossing the Mozambique Channel from Africa to Madagaacar (a distance of 120 mUes), and proceeding occasionaUy from Barbary into Italy. Many other inaecta are remarkable alao for the great diatancea of thefr fiight, and the vaat multitudes coUected together for thia purpoae. The Crustaceans, which are alao Articulata, include a number of marine speciea, cbiefly httoral, beaidea many from the freah water, and some that are terrestrial. In the Polar seaa they are found in great abundance, though the number of apeciea ia very limited ; and in the equatorial regions, whUe they are no less numerous, they preaent a greater diversity of form, attain a larger size, and exhibit in the highest perfection those peculiarities of atmcture by which the several groups are characteriaed. The Land-craba are chiefly remarkable in the table-lands (Ghats) of the peninaula of India, and in the Weat Indies. In the former country they arc troublesome, and indeed dangerous, by thefr extensive burrowings, but in the AntiUes are eaten as food. The Annelids, like the Crustaceans, include inhabitaints of the land, of fresh water, and of both ahaUow and deep ocean. Some alao, as the Earth worms, Uve permanently beneath the aurface of the Earth. They occur in aU climates, but are not able generaUy to wander far from the specific cenfre to whieh they belong. The marine species are chiefiy httoral. 155 Distribution of the Mollusca and Eadiata. — The MoUusca are regarded as, on the whole, of lower organization than the Articulata, although they include amongst them one group (Cephalopoda) which approaches the * ¦ A fire devoureth before them ; and behind them a flame bumeth : the land is ae the garden of Eden before them, and behind them a desolate wildemess ; yea, and nothing shall escape them. . . . Like the noise of chariots on the tops of mountains shall they leap, like the noise of a flame of fire that devoureth the stubble, as a strong people set in battle array.' — Joel, ii 8 — 5 BB 370 PHYSICAL GEOGRAPHY. Vertebrata very closely. They are chiefiy marine, although there are many fresh-water and terrestrial species. The aquatic species are found in all seas from the poles to the equator, but generaUy at moderate depth, some burying themselves in sand or mud, others in indurated clay, and some bur rowing into limestone rocks. Many species delight in quiet sunny nooks on the margin of fresh-water pools, others in rapid and mighty rivers, and others, again, in the depths of the ocean, but aU are exceedingly dependent on local condition. We caimot better give an idea of the nature of the distribution of these and other lower animals, than by quoting the foUowing summary from the admfrable memofr by Profeaaor Edward Forbea on the jiUgean Invertebrata.* Profeaaor E. Forbes divides the portion of sea to which his observations were chiefiy confined into eight regions of depth, each characterised by its pecuUar fauna ; ' certain species in each are found in no other, several are found in one region which do not range into the next above, whUst they extend to that below, or vice versd. Certain species have thefr maximum of development in each zone, being most prolific in indiriduals in that zone in which is thefr maximum, and of which they may be regarded as especiaUy characteristic. Mingled with the true natives of every zone are sfragglers, owing thefr presence to the action ofthe secondary infiuences which modify distribution. Every zone haa also a more or less general mineral character, the sea bottom not being equaUy variable in each, and becoming more and more uniform as we deacend. The deeper zones are greatest in extent, the first or httoral zone extending only to two fathoms, the second from two to ten, the thfrd from ten to twenty, the fourth from twenty to thfrty-five, the fifth thence to fifty-five, the sixth to seventy-nine, the seventh to one hundred and five, and the eighth to two hundred and thirty fathoms ; below this, at a depth of about three hundred fathoms, there are supposed to be no Uving animala.' It must not be imagined that exactly simUar regions are to be met with in every sea, that there are always the same number, or that the limits of animal life are invariably the same as iu the .3]gean Sea. We take this as the best example that has been hitherto worked out, and there is no doubt of there being aome determinable order of distribution in most other seas, whether confined or open. The indications as to cUmate or disfribution which may be drawn from the examination of the Testacea -wiU be found to vary, not only according to depth, but also from the nature of the ground. A comparison of the various ammals of the lowest zones with those of the higher, exhibits also a great distinction in the hues of the speciea ; those from great depths being generaUy white or colourlesa, whUe those from the higher regions exhibit more usually brUUant combinationa of colour. The chief cause of this is no doubt the increased amount of light above a certain depth, but the nature of the feeding-ground and the food must also exert a modifying infiuence. Every species has two maxima of development in space, one in depth, and another in horizontal area ; and in each we find a species at first repre sented by a few indiriduals, which become more and more numerous tiU they reach a certain point, after which they graduaUy diminish, and at length altogether disappear. Sometimes the genus to which the species belongs, ceases wdth its disappearance, but not unfrequently a succession of sinular species is kept up, representative, as it were, of each other. When there is such a representation, the minimum of one species usuaUy commences before that of which it ia the representative has attained its corresponding minimum. Forms of representative species are simUar, and often only to be diatinguished by critical examination. When a genua includea several groups of forms or sub-genera, we may have a double or friple series of representa tions, in which case they are generaUy paraUel. • Reports of tlie British Associatian for tlie Advancemen} ofScimce, Cork, 1848, pp. 1S4 & 172. DISTRIBUTION OF ANIMALS IN SPACE. 371 ' The consideration of the representation in space forms an important element in our comparisons between the faunas of distinct seas in the same or representative paraUels. The analogies between species in the northern and southern, the eastern and westem hemispheres, are instances. But there is another application of it, which I would make here. The preceding tables and Uat afford indications of a very interesting law of marine distribution, probable a priori, but hitherto unproved. The assemblage of cosmopolitan species at tlie water'a-edge, the abundance of pecuUar climatal forma in the higheat zone where Celtic apecies are scarce, the increase in the number of the latter aa we descend, and when they again diminish, the representation of northem forma in the lower regions, and the abundance of remains of Pteropoda in the lowest, with the general aspect of the associationa of species in aU, are facte which fairly lead to an inference, that parallels in latitude are equivalent to regions in depth, correspondent to that law in terrestrial distribution which holds that parallels in latitude are representative of regions of elevation. In each case the analogy is maintained, not by identical species only, but mainly by representative forms ; and, accordingly, although we fitnd fewer northem speciea in the faunaa of the lower zones, the number of forms representative of northern species is so great as to give them a much more boreal or sub-boreal character than is preaented by thoae regions where identical forms are more abundant.'* The laws of distribution of Mollusca and Eadiata are not yet so distinctly made out as those affecting the Vertebrata generally, but they appear, from what has been said above, to be of very similar nature. Certain seas present innumerable multitudes of some species, which do not extend beyond certain weU-marked, if not narrow Umits ; other seaa are equaUy remarkable for a mixtare of groups, and an abaence of definite character. These points at first seem to present difficulties almost insuperable to the proper working out of the various laws, for the exceptions are both numerous and unexpected. It is only when we include the element of time, and consider the laws of succession as weU as distribution, that we find the explanation of such apparent anomaUes ; and that the apparent disorder and confusion result in order, and a more diatinct apprehenaion of the unifrv of plan and aystem throughout nature. We now proceed to examine briefly the evidence of auch aucceasion and representation in time, and thus connect the present history of the Earth vrith that past history, which, in the caae of organized beinga, is now recognised as a distinct science under the name of Palaeontology. * Professor E. Forbes, ante cit. BB 2 372 CHAPTEE XII. DI8TEIBUTI0N OF OEGANIC BEINGS IN TIME. S 156. Nature of organic remains, and proof of the existence in the Earth's crust of fragmenta of Plants and Animals belonging to Species now extinct. — 157. Distributiou of extinct Afammalia in time. — 158. Distribution of extinct Birds. — 1-09. Diatribution of extinct Keptiles. — 160. Distribution of extinct Fishes. — 161. Distribution of extinct MoUnsca. — 162. Distribution of extinct Articulata. — 163. Distribution of extinct Eadiata. — 164. Dis tribution of extinct Plants. l^ATUBE of Organic Bemains, and Proof ofthe Existence in the Earth's JJl Crust of fragments of Plants and Animals belonging to Species now extinct. — Moat of the numeroua depoaita met with in different parts of the Earth are, as we have already intimated, loaded with the remains of plants and animala of various kinds, but chiefiy those of the sea, accumulated contemporaneously vrith the inorganic materials of the beds themselves, and therefore in most cases sfrictiy indications of the actaal condition of the sea bottom within a given area, and during a limited period. These remains, therefore, afford materials for a history of the past condition of Ufe on the globe, and they afford indeed the most distinct information concerning this history. Tbey are caheA. fossils ; and the use of this word is now limited to such organic remains, as being of aU things that are dug out of the Earth those of greatest interest to man in his efforts to penefrate into the past. The foasUs that have been found appear to be diatinct in aU the esaential characteristics of species from the recent animals and vegetables of the same district; and this is the case, whether we regard the Uving representativea, or those lately embedded in auperficial deposite, or whether we look into thoae deeper and more metamorphoaed beds, which from thefr poaition beneath a vaat mass of fosaiUferoua afrata, are manifeatiy of great age when compared with the existing creation. Every particular group of deposits in aU parts of the world is more or less distinctly characterised, not only by ite pecuhar mineral character, but also, and far more distinctly, by the groups of^ species which together make up its fossU fauna and flora. These usually differ much less in any two adjacent conformable beds than in others which are separated by intermediate bands, whether such intervening maases contain organic remaina or are deatitate of them ; and they are also more ahke then than when the beds are not paraUel to, or have immediately succeeded each other, but have been disturbed between the completion of the lower and the commencement of the upper series. GeneraUy it may be regarded aa a law deduced from obaervation, that the species of animals characterising any one geological period have either originated during this epoch, or have then attained thefr maximum develop ment in number. It also appears that species were on the whole more widely distributed at the time when the older rocks were being deposited than they are now ; that the departure from a given type or form is greater the farther back, or older, the formations that we refer to ; and lastiy, that the remains of animala found in the older rocks exhibit by degrees, as we refrograde in order of tirae, a larger preponderance in number of invertebrated over that of vertebrated apecies, tUl at length we reach formationa in which no remaina are foimd higher in organization than the moUuaca. The ffrat of theae laws — that whieh involves the statement that 'fossiU are characteristic of formations,' is one which is of great importance, aa it DISTRIBUTION OP ORGANIC BEINGS IN TIME. 373 involves two very distinct and startling assumptions — that the fossU remains found are those of animals and plants, of which not only the individual but the species is now dead, or extinct from the Earth, and that there has been not one only, but a long succession of creations of species to supply the place of those that have from time to time thus become lost. The former assumption has been so fuUy proved in every work on Geology and Palaeontology ; is so clearly Ulustrated by the absence now of species once common, aud their replacement by others ; and agrees ao weU with the probabiUtiea of the case, that we must here take it for granted. The occasional loss of species, genera, and even famiUes, from thefr place in creation is now recognised by every naturaUst, and we only refer to the subject to complete the line of argument. The successive creation of groups of species to repeople the Earth when old ones have departed seems, nowever, far more questionable, and it is more reasonable and more conaiatent with the facts that are known on the subject, that we ahould assume the infroduction to have been very gradual, species after species, aa occasion aeemedto require. Aa in the different countenances of various indiriduals of our own race, there is a distinct expreaaion in each indiridual, which identifiea him, although aU are of one apeciea and posseas innumerable pointa in common, so in the representative species of some important genus, we see the same kind of resemblance and difference ; and so also in the group of speciea of a certain epoch, we may recogniae a physiognomical character, which yet admits of these species being replaced in other groups by indiriduals reaembUng them, but not at aU to be miataken. The tme meaning of the law aeems, therefore, to be, that taking each forma tion as including a group of depoaita, formed under simUar or very slowly changing cfrcumstances for a certain duration of time, and repreaented in different parta of the world at that time by other species having similar resemblances and differencea to thoae which are found to affect a fauna or fiora now in different geographical areaa, we may perceive by careful study that amount of unity of character which vrill enable us to recognise the group of apecies and distinguiah it from that found in other beds that are con temporaneous, even when there exists no other evidence of their con temporaneity. The actual limitation of a group of species to a particular group of beds has not, we beUeve, been at aU satisfactorUy proved with regard to any one case. The second law, ' that species belonging to more ancient periods had a wider geographical disfribution than those now living,'* is also to be understood as true only in a general sense, and with many limitations and apparent exceptions. We shaU, indeed, find in particular cases, that species of mani feat importance are spread much more vridely in older rocks than their representatives are now, or have been since; and as thia ia the caae with large groups of those species which must themselves be regarded as higMy characteristic, in particular instances the law may so far be regarded as established. It has been mentioned as a deduction from the operations of thia law obaerved in varioua ways, that the temperature of the Earth's surface has undergone change, and this, indeed, may have wetf happened from those numerous alterations that we know to have taken place vrith regard to the relative level of land and water, and the absolute quantity of land above the water. We beUeve the weight of evidence in this question does not prepon- derato in favour ofthe -riews of those who beUeve the Earth to have cooled down from an incandescent state since organic beings were infroduced on its surface. The thfrd law enunciated is, tiiat the more ancient the formation, the more widely do its fossU contents depart from the existing type ; and this is reaUy the simple expression of facta, made out by numerous long continued and carefol obaervations in various parts of the world, and may, therefore, be fiiUyreUed on. The fourth and last of these laws asserts, that the faunas of the most See Piotet's PaUontologie, vol. i. p. 73. 374 PHYSICAL GEOGRAPHY. ancient formations are, cceteris paribus, numericaUy richer in animals of low organization, and chiefly in Mollusca, than thoae of more recent deposits; but this — although in one sense the mere statement of a fact which cannot now be questioned, since all obaervations up to the present time have tended to confirm it — ia yet not to be reoeived without some quaUfication. It may be said, indeed, as an answer to any theory of development, or of the exiatence of a scale of beings gradually approaching perf'ection, that although it is trae in the ancient epoch, that only the remains of fishes are found amongst invertebrata, and that even these at length disappear, yet the faunas even of the earliest periods are by no means imperfect, and we ought not to be hasty in assuming the abaence of the more perfect typea in the older rocka, merely because we have not yet discovered any remains of them. This is well exemplified in the case of many parts of the world at present ; for putting aside the preaence of man, we find the fauna of Aaia apparently auperior to that of Europe, if we regard merely the exfreme point of organization, since in the former continent we have the Orang-otang, and in the latter acarcely a single ape, and few carnivorea of large size. According to this rule, indeed, the fauna of New HoUand would indicate a condition of the Earth gi-eatly lesa developed than that of any other country, aince the only mammals are didelphine; but it is clear, that a very false notion of the general condition of the Earth's surface at the present time would be obtained by the most careful consideration of the organic remains found in the islands of the Indian ArclUpelago, and the Pacific Ocean. In point of fact, neither the Eadiata, the Articulata, the Crustacea, the MoUusca, nor fishes, were at all imperfectly represented or developed in ancient times, and ever since their ffrat appearance, the members of theae clasaea of animala have posaeased the same degree of perfection as thefr modem repre sentatives. It is a mistake to auppoae that the early faunas, generaUy, were composed of animals less perfect than the recent ones, although no doubt the highest point to which organization has reached, has risen during suc cessive geological periods, so that whUe cephalopods, or fishes, first formed the superior limit of organization, these were afterwards surpassed by reptilea, and these also, after an interval, by mammals. Two courses are open to us in this attempt to communicate a true notion of the distribution of animals^ in time. We might either take the various periods, or the natural groups of species, as the means of representing the absolute facts determined. Although, however, a correct idea would be best obtained by a combination of tbe two methods, we propoae here to give only an outUne of the various tribes of animals as thev are represented in the faunas of different periods, leaving the other division of the subject to be studied in works devoted expressly to Palseontology.* 157 Distribution of extinct Mammalia in time. — Organic bodies generaUy are only preserved in sfrata, so far as they present hard and comparatively indestructible portions in thefr skeletons, and since most of the mammals, birds and reptUes, are land animals, while the greater number of deposits are of marine origin, the disfribution of these is ^so limited to such deposits as have originated either near land or near the mouths of great rivers. Amongst Quadrupeds, the teeth offer at once the hardest and the most distinctive characters, and these can rarely be miataken, and are aeldom injured materiaUy by long exposure to decay. Amongst aU the mammalian and bird remains that have occurred, but few belong to those rocks which ai-e callcd secondary, and none at aU to the Pala3ozoic group. With a very remarkable exception, occm-ring in the Stonesfield Slate (one of the beds of the lower OoUtes of England), no true quadrupedal remains so old as the chalk have yet been obtained. The remains of mammals are, therefore, almost confined to the rocks of * See The Ancient World, by the author of this treatise, where an attempt has been made to give a popular and connected view of the Eartirs organic history. foi DISTRIBUTION OP ORGANIC BEINGS IN TIME. 375 the tertiary period, but are there very abundant. They include species of all the natm-al orders, vrith the exception of man, and no fossils that have been found reqidre the formation of new orders. Of Quadrumana, the number of remains that have been found is small, butthey offer matter of great interest for the comparative anatomist. Several species have been determined from India (lat. 30° N.) from the tertiary rocks of the SewaUk hiUs, one of them of gigantic size, and at least as large aa an Orang-otang. In Europe, also, the order is represented, one apeciea having been found in France (at Sansans, in 43° N. lat.), which is described as intermediate between the gibbons and solemn apes; and two species in England, in the older tertiary beds of the London Clay, whioh appear to belong to the group of Macacques (macacus). Eemains of Monkeys, of rigantic aize compared with the exiating apeciea of that continent, have been ound also in BrazU. The remains of Bats (Chiroptera), have been found scarcely more abun dant than monkeys, and they are conflned hitherto to the insectivorous group. Of these one species is mentioned by Professor Owen, from the older tertiary sands of Kyson (Suffolk), where the monkeys' remaina occurred, and another is known (also older tertiary) from the Paris Basin. A single species is described from CEningen, in newer tertiary schists, and fragments of several species, some of them not extinct, have been found in caverns in England, Belgium, and elsewhere. A few species have been determined from the cavern remains of BrazU. The Insectivora present some extinct and some recent species in a fossU state, but considering the almost universal distribution of some tribes at preaent, and the aquatic habits of many of the species, it is perhaps remark able that the extinct forms should be so very few, and so exceedingly rare as we find them to be. One species of Hedgehog, one of Shrew, and one of Mygale, have been found at Sansans, and an extinct genus nearly aUied to the mole, but as large as the hedgehog, was associated with the gravel animals whoae remains are fouud at Bacton, on the Norfolk coast of England. One of the most interesting of aU the mammalian fossUs found in the OoUtic beda of Stonesfield, and already aUuded to aa affording eridence of the great antiquity of mammsla on the Earth, haa been referred by Profeaaor Owen to this order of Inaectivora, under the name of Ampliitherium. For the evidence on this subject we must refer to Professor Owen's beautiful work on the British Fossil Mammals, p. 29. There are many more species of Carnivora found fossU than of those ordera yet referred to. Of the Plantigrade group, a considerable nuniber of species, and, indeed, several new genera, have been described from remains found in caverns and other superficial deposits. Of the moat remarkable and intereating ia the great Cavern bear ( U. Spelceus), whoae bones abound in many large caverns in Germany, and are met with also in England. Other species are known from Cenfral France, Algiers, BrazU, and the Sewalik bills, aU, however, of the tertiary, and many of the gravel period. Species of Badger, Weasel, Glutton, and Coati, have also beentfound fossU. The Digitigrade Carnivora are represented by fossUs from most of the tertiary deposits. In the Paris Baain and other older tertiaries, we have the Dog (Canis) represented by two or three extinct species, while the Genette and the Otter exhibit one, and the cat tribe (Felis) several. The middle tertiaries, however (chiefly in France and the Ehine VaUey), contain more both of species and indiridual remains than the older, and the newer many more than both together, far the most remarkable and moat interesting of the group belonging, in fact, to the gravel, except those which have been met with in India, and of these the age is somewhat doubtful. Of gravel fosaUa obtained from England, and belonging to this group, we may enumerate ihe Felis spelcsa, or cavern tiger; the Macliairodus, a gigantic carnivore ofthe moat ferocioua habits and of great strength; a WUd cat, the Cavern hyaena, the Wolf, Fox, and some others of existing or closely aUied 376 PHYSICAL GEOGRAPHY. species. Besides tbe cavern hysena, other species occur in deposits of the same age in India and Brazil, and this is the case also with the genua Felis, of which no less than six species have been described by Lund from the BrazUian caverns, varying in size from that of the jaguar to dimenaions something less considerable than those of the domestic cat, and presenting some curious anomaUes. The Amphibia are only at present knovm in a foasU atate by two or three species of Seal, one found at Angers, one in the terta'ary marls of 0.anaburgh, and others on the shores of the Mediterranean. Fragments of a fossil Morse (Triehechus) have also been described, and various bones of Whales, both in thia country and North America. The fribe of Bodents, although represented in a fossil stato by many species, has not been very much stadied. They have been found in the gypsum beds of Montmarfre, in the middle tertiary beds of Auvergne, or in the dUuvial depoaita of cavema and osseous breccia. Asia and America, as well as Europe, have yielded such remains, and many of those in more recent beda are vrith difiiculty diatinguished from existing species. Of the various tribes of these animals we find Squfrrels and a apeciea of Myoxus in the older tertiaries, and an Arvicola, a Hamster, and others, in Auvergne and at Epplesheim. The Beaver, and an extinct and nearly aUied, but gigantic species (P genua) (Trogontherium) are found in the newer tertiary, and many others occur in the gravel, among whioh, in Europe, may be reckoned repre sentatives of most of the chief existing European genera, and in America a multitude of new species closely aUied to the forms at preaent existing in that continent. The Buminants, infimtely important to man, and now exfremely abundant in individuala, varieties, species, and genera, did not present the same prepon derance during the later tertiary periods, andwere, it would seem, exceedingly rare during the earUer part of this last portion of our Earth's history. Many species, very nearly aUied to the group and distinctly repreaentative of it, are referred to the order of Pachydermata, and thoae that remain are confined to the gravel or newest part of the period, except, indeed, that the deposits of India prove thefr existence in that counfry at a much earlier period. The Indian species include two Camels, and a thfrd occura in Siberia. One or two species of Moschus (musk-deer), species of Antilope, Cervus, Bos, Bubalus, and others, are found in the same locahty. In addition to these, there has been found another and very remarkable genus (Sivatherium), now quite extinct, in which the head is not only provided with horns, Uke other true ruminants, but no less than two pafr appear (includinof both those now characteristic of principal natural groups of the order), and with these are associated peculiarities of the skeleton, apparentiy indicating a very close approach to the pachyderms, and especiaUy tne elephant. The ruminants of the diluvial period in England, and of the caverns of BrazU, and other parta of the world, include numerous species, very nearly alUed to those now indigenous in the same districts, but othera as remarkably distinct. Thus, the gigantic Irish elk and several apeciea of Cer\-us (deer) afford admirable examples of the former, and the existence of remains of a Giraffe in Central France not less sfriking evidence of the latter condition. The diatribution of the Pachydermata duriug the tertiary period is especiaUy interesting, aa it is chiefly from this order that the most striking and characteristic, and even representative forms, seem to have been obtained during the earliest part of the tertiary period. The extinct speciea are also intereating, since, in many cases, they fUl up gaps now existing in the order, and connect this with the not very simUar gi-oupa of Euminantia, Eodentia, Carnivora, Cetacea, and MarsupiaUa. The lacunte thus filled up show how complete the scheme of nature is, and they show also, that during one part, at least, of the Earth's history, and over an extensive portion of the surface, one group of quadrupeds preponderated, and included animala having aU varietiea of habit, just as, at tho present time, tho marsupial tribe is developed in Australia, almost to tho exclusion of other races, DISTRIBUTION OF ORGANIC BEINGS IN TIME. 377 The most ancient forms of Pachyderm^ are those described by Cuvier under the name Palceotherium, Anoplotherium,, Anthracotherium, Hijraco- therium, Lophiodon, &c. These gave place to Dinotherium, Bhinoceros, &c.; and theae again to Mastodon, Elephant, other apeciea of Bhinoceros, Hippopo tamus, &c., in the Old World, accompanied (not replaced) by Macrauchenia, Toxodon, and others, in South America. In India, there were besides these a number of very curious species, forming an exceedingly rich fauna, to which the order Pachydermata furnished the greatest number of species, and appears most to affect the phyaiognomy. We need not here deacribe the peculiarities of these singular animals, as they wUl more properly come under.considera- tion in the next chapter. In England, of about twenty mammals distinctly made out from the older tertiary bods, more than twelve are Pachyderms ; but from the deposits of more modern date, although the number of mammals is very much more considerable, there are but seven from the gravel beds, seven from caverns, and three from the alluvium, and this relative prepon derance in the older rocks of the period seema universaUy observable, although it is most strikingly the case in the beds found near Paris and those of the London Basin. It is worthy of remark, that the physiognomy of the fauna is very greatly affected by thia order in the older tertiariea, not only because there are so many representative forms of the other, and more recently developed natural orders of quadrupeds, but because the multitude of individuals as weU as species, and the largest and most important of the quadrupeds, were ofthis kind. The Edentata are now almost confined to South America, only a few representative forms extending to Asia and Africa. Thefr distribution in ancient times was apparently not very different so far as geographical area ia concemed, aa the fossU remaina have hitherto been found only in the preaent metoopoUs of the order. The extinct species arc, however, extremely different in form and magnitude from the existing ones, presenting some of the moat exfravagant departures from existing types yet met with, so that though the number of speciea ia not large, their investigation becomea a subject of great intereat. The remains of the gigantic repreaentations of the Sloth and ArmadiUo range, however, more widely than the species now characteriatic, at leaat one genus (Megalonyx) having reached as far north as Vfrginia, IT.S., whUe others extended far down into Patagonia. There are two principal groups, one represented by the Megatherium, Mylodon, Megalonyx, Scelidotherium, Ccelodon, and Sphenodon, the corresponding existing genus being the Sloth. The other group contains Glyptodon, Hoplophorus, Paehytherium, Chla/im/dotherium, and two others, wmch all, more or leas, reaembled the Armadillo. One or two fragments of bones from the Plata have been doubtfcUly assigned to animals of which the Ant-eater is the modem type. Most of the genera above-named are confined to a single apecies, and they are all of the very recent tertiary period. Aa the Edentata are chiefly found foasU in America, where the exiating forma appear, so the order Marsupiata, at present characteristic of Auatralia, ia that to which the greateat number of mammalian, remains of the same counfry must be referred, and few occur elsewhere. There is, however, ,one remarkable exception in the Stonesfield Slate, where a Didelphine species has been discovered accompanying the Insectivorous mammal before deacribed. With this exception, and a couple of species in the older Tertiaries of London and Paris, aU the extinct forms are AusfraUan, and include Kangaroos, some of them of gigantic dimensions, and a Wombat. They occur in caverns, chiefiy in WelUngton VaUey, about 200 mUes north west of Sydney, New South Wales. 158 Distribution of extinct Bieds. — The remains of bfrds occur but rarely, and are usuaUy very imperfect. Footmarks, however, have been found which it is difficult not to refer to animals ofthis kind, in rocks of very ancient date, and thus the class of birds may be referred back much further in date than the mammals. Impressions of bfrds' feet occur in tho red sandstone of 378 PHYSICAL GEOGRAPHY. Connecticut, United Statea, and in beds of simUar mineral composition, and belonging to the oldest portion of the secondary series in England and Germany. The former have been generaUy deacribed aa carboniferoua ; the latter are certainly from the newer red aandatone, above the magnesian limestone. The eridence on which the correctaesa cf thefr reference to bfrds may be considered to rest, arises from the shape, which requfres that the animal that made them should have been a biped — that the feet should have been tridactyl or three-toed, the middle toe much the longest, and each terminated with claws, and that sometimes there waa a fourth abort toe behind. It cannot be regarded aa impossible that reptUes may have been ao consfructed as to leave impreaaiona ofthis kind, and aa few remains of bfrds' bones have been found in other rocka of the secondary period,* but Uttle evidence conceming these animals is obteined tUl we examine the older tertiary beda of the Paris Basin. There, however, and in the London Basin, and again m numerous other tertiary rocks where cfrcumstences were favour able for thefr preservation, such indications are found aa leave no doubt that Bfrds accompanied the Pachyderms, Carnivorea, aud other repreaentativea of the class MammaUa, in tolerable abundance. The older tertiaiy speries include a Vulture from the London Clay, a apeciea referred donbtfoUv to the Eing-fisher fribe (Haley onidie), and a small wading bfrd from beds ofthe same age, besides several related more or less closely to the PeUcan, Sea-lark, Curlew, Woodcock, Owl, Buzzard, and QuaU, from the Paris Basin. The newer tertiaiy beds have also suppUed several apeciea ; and in the gravel, or in caverns, there have been found remains of species of Eaven, Lark, Pigeon, Duck, and Snipe. In South America, and especiaUy in BrazU, where caverns have been ao effectuaUy aearched for foaaU remains by M. Lund, there have been found fragments of several bfrds, amongst which may be mentioned two Ostriches much larger than existing American species ; whUe in New Zealand other remaina have been found in great abundance, diatinctiy referable to an extinct and gigantic race of wingless birds — the prototypes of the smaU Apteiyx, at present characteristic of the same island. Many species of these have been described, and various genera named to include them. 159 Distribution of extinct Eeptiles. — The disfribution of reptilea in time ia a matter of great importance to the Geologist, inasmuch as these animals seem reaUy to have been the chief inhabitants of the Earth during the middle period of its existence, and thefr remains are not only more abundant, but more perfect, and also more distinct from the exiating representative species— at least so far as the continent of Europe is concemed — ^than any of those hitherto considered. It is here first that new orders requfre to be defined, to include species far removed in habit and structure from known forms, and some of these are so strange that description can hardly exaggerate the auigular departure from aU we are in the habit of considering. If the reader refer to the Ust of orders of Beptilia in a prerioua page, he wUl find three mentioned as not existing now iu a recent state, and known only by organic remains, found in rocks cbiefly of ancient date. In addition to these three, however, aU the existing orders have some fossU representatives, and some of them a considerable nimiber, contained in genera which can no longer be recognised as including recent forms. We proceed to consider briefly the disfribution of the different species of fossU reptiles in time. The most ancient reptiUan remains are those which accompany the sup posed birds' footprints m the Cai-boniferous (P) sandstone of Connecticut. We find also various footprints in these rocks whieh have been referred One specimen was found by M. Von Meyer in the cretaceous slates of Claris, having the lorm and general charactoi s of passerine birds. Another specimen, fl-om the Wealden beds of Kent, IS referred very doubtfully to albatross, and a large wading bird has been determined from lilgate lorest, (also Wealden.) DISTRIBUTION OF ORGANIC BEINGS IN TIME. 379 chiefly to Chelonia (turtles and tortoises), and aimilar markings have some times been described as fossU footsteps in the sandstones of ancient date in our own island. The most ancient actaal bones of reptUes hitherto discovered occur in the magnesian limestone beds of the neighbourhood of Bristol, but it may be pennitted to doubt whether these are not rather of the secondary than the PalEeozoic period. In the middle beds of New Eed Sandstone in Cheshfre and Warwickshfre, many very interesting fragments of bones have been met vrith besides footprints, aU tending to prove that at that period many reptUes existed, varied in form and dimensions, and belonging probably either to the Bafrachian or the Lacertian order. Beds near the Cape of Good Hope (South Africa) have yielded also fossUs which partly from independent geological eridence, but cbiefly from the character of these remains them selves, are regarded as older secondary. Numerous footprints in the New Eed Sandstone seem beyond a doubt reptilian. The rocks of the secondary period form a perfect necropolis of the reptUian tribe, and in the Lias, wbich succeeds the New Eed Sandstone, we find a multi tade of remaina oi ihe Ichthyosaurus and Plesiosaurus, the chief representatives of the order Enaliosauria. Theae remarkable animala, which were apparently sfrictiy marine in thefr habits, and even more thoroughly adapted for aquatic existence than the cetacean mammals, were singularly abundant in the argiUaceous bed afready aUuded to, but continued, not only by the preserva tion of the genus, but in some cases by identical species, through the whole ooUtic series into the chalk, receiring an additional genus during the deposit of the newer ooUtic rocks. In the lower OoUtes (Stonesfield Slate, already more than once referred to for its fossUs) the order Dinosawria also appears, and ia represented by the carnivoroua and gigantic Megalosaurus, which appears to have continued where cfrcumstances admitted, and in the newest part ofthe OoUtic period (Wealden) was accompanied by the Iguanodon (a herbi vorous genua, alao gigantic), and iheHylceosaurus. Not only, however, were these two remarkable orders of marine and land saurians first presented during the middle part of the secondary period, but they were accompanied by the Pterosauria or Flying saurians, a race yet more unlike existing forms and the inhabitanta of the afr. The only genus yet deacribed by these animals (PterodcuityT) appears first in the Lias, but was continued like the marine tribe into the Chalk, and presents, Uke the others, a conaiderable number of speciea. It ia chiefly in England and Western Europe that these remains have been found, since there the ooUtea are chiefly developed, and seem to have been accumulated under the most favourable conditions. The order of Croeodilia, or maUed saurians, was richly represented in the secondary period. Of the three dirisions (those of which the vertebra are bi-concave, convexo-concave, and concavo-convex, respectively), the first contains the Teleosaurus, a kind of gavial, extending from the Lias into the Middle OoUtea, and another genus, also ooUtic, besides two generic forms (Suchosaurus and Goniopholis), both Wealden. The second (convexo-concave) contains several apeciea, the older ones occurring in the Lbwer OoUtes, and the newest in the Wealden ; whUe the thfrd (concavo-convex) includes aU the existing crocodUes : one doubtful cretaceous species, several of the tertiary period, from the London and Paris Basins, and some of the middle tertiary deposits of Cenfral France. We have afready referred to the Lacertians, as containing the most ancient representative forms of the great Eeptilian class. Besides those already mentioned, there is another New Eed Sandstone species, referred to a distinct genus (Cladyodori), wliUst the Geosaurus is found in the Solen- hofen (Upper OoUtic) beda, besides two or three genera met with in the chalk, of which that caUed Mosasaurus is the best kno-wn. The Leiodon is nearly aUied. The Chelonians, recognised by numerous foot-prints in the older rocks and New Eed Sandstones, are distinctly exhibited, by fragments, in a fossU 380 PHYSICAL GEOGRAPHY. state, in the ooUtic beds, but they are almost confined to the Stonesfield slate in England, though on the continent of Europe some of the other ooUtic rocks have yielded aimilar indications. In the Wea,lden rocka more numerous and characteriatic fossUa of this kind appear, and, Uke the others, they ^-'- — to the emydian fribe, inhabiting marshy and swampy places. The true fresh-water turtles are found in the triassic rocks and lias, and in aeveral tertiary deposits. True marine turtles (Chelonians) have been found in the Portland and Purbeck rocks, and in various tertiary strata, especiaUy of the older part of the period. The fossU remains of Serpents (Ophidia) have not been found in rocks older than the London Clay, and only a few species have been deacribed from that locaUty. Theae animals appear to have had gigantic repre sentatives during the older tertiary period in Great Britain, but since then have disappeared from these parts of the world, or at least have left only a few species of comparatively small aize. The Bateachians, also, once presenting very remarkable forma, approximating them to the CrocodiUans, have not of late exhibited any aberrant forms. Fragmente of frogs and salamandera are found, occasionaUy, in tertiary rocks, but few striking deviations have been seen amongst the more recently deposited fossUs from the most ordinary exiating tjrpes. i6o Distribution of extinct Fishes. — Most of the deposite containing fossUs having been formed under water, it is not astonishing that a very large proportion of the organic remains preserved should have belonged to marine animals ; and thus it foUows, that although rarely so characteristic, or in themselves so valuable for determination, the remaina of marine animals afford, from thefr number and preponderance, the principal means of becoming acquainted with the ancient conditions of hfe on the globe. Fishes, as the most highly organized of marine animals (except, indeed, Cetaceans, whose remams are rare and comparatively unimportant) thus asaume an importance in Palseontology, whioh they do not possesa in general Zoology. We have spoken above of the division of fishes into four orders, according to the structure of their scales. Of these four orders, two are absolutely confined to the rocks of the Cretaceous and Tertiary periods and existing seas. The other two are also stUl represented, but by comparatively few species, and these, vrith the exception of the Squaloid, or S Siark famUy, not the most important ones. It thus happens that the termination ofthe Oohtic (including the Wealden) period, exhibits the most perfect break in the whole series, so far as this class of animals gives e-ridence, and two famiUes of fishes (the Stargeons and Eays) also take thefr rise at the commencement of the secondary period, whUe the Hybodonts disappear at ite termination. It is worthy of note, that not only are the fishes of the Palaeozoic period limited to two of four of the nataral orders, but they are confined to one group of these, characterised by the continuation of the vertebral colunm into the upper lobe of the caudal fin, producing a much more considerable deve lopment of that part, and thence caUed Heterocercal. These, which were abundant during the Palfeozoic or Older fossUiferous period, then became very rare ; the rocks of the secondary series chiefiy present homocercal fishes, or thoae which have the caudal fin equaUy developed, and proceeding entfrely from the extremity of the vertebral column, or at least have very few that are of the other kind. Of the different groups of Fiahea, the Acanthodians and Dipterians (two famUiea of Ganoids, nearly aUied to the Lepidoids), and the Cesfracumts (Placoids), were firat introduced, and have been found together in the Old Eed Sandstone (Devonian) rocks, and the latter also, though very rarely, in Silurian rocks. The number of species iu the older rooks is not con siderable, but graduaUy increases towards the newer beds, and becomes rather numerous iu the Carboniferous rocks, several complete genera being introduced aud lost during tiie interval. Amongst these are tho DISTRIBUTION OP ORGANIC BEINGS IN TIME. 381 singularly formed Cephalaspids, the Ptericlithys, the Coceosieus, and others among the Lepidoid group, and also several Sauroid fishes, as Diplopterus, Megalicthys, and others, whUe in the Magnesian Limestone, where the PaliBOZoic rocks terminate, and the Heterocercal fish cease to be exclusively present, the Pygopterus, Acrolepis, and some other genera of Sauroids, with the Palceoniseus (Lepidoid), make thefr appearance, but are not continued into the secondary rocka. Taking the difi'erent famiUea of fiahes, and commencing with the Lbpi- DOID ffanoida, we find that the heterocercal genera, of which there are six (not including the Acanthodians and Dipterians), include four absolutely confined to rocks not newer than the Carboniferous, and two (Palceoniseus and Platysomus) only just extending into the trias. There are stiU remaining the whole tribe of homocercals, including ten genera and many species, which are exceedingly common, and highly characteristic of the Uas and some newer oohtic beds, extending in one instance (Lepidotus) into the chalk. The has may, however, be regarded as the metropolis of this group ; at leaat thirty-two apecies being known in the Enghsh oeds alone, and many others occurring in the Uas on the Continent. Of the different genera, Gyrolepis is carbomferoiis and triassic; Dapedius and Tetragonolepis almost exclusively haaaic ; Lepidotus -widely distributed throughout the secondary period ; and Pholidoporus chiefly Wealden. The Saueoid, like the Lepidoid famUy, is widely spread among fossUi ferous rocks, and the Ccelacanths, in some reapect analogous, may be considered as having a simUar diafribution in time. The heterocercal genera range between the Old Eed Sandstone and the Trias; one genus (Saurichthys) being triassic exclusively, and others confined to the old red and carboni feroua rocka. Of the Coelacantha there are also several carboniferous and older genera, Megalicthys being the most remarkable. The homocercal Sauroids are chiefly oohtic, where the number of apecies is exceedingly large. The famUy of Ptcnodonts are almoat aU oolitic, but may be conaidered to range from the triaa to chalk. The Sclerodeems, another famUy, ia found in cretaceous rocks, but extends and ia chiefly common in the older tertiaries. The Accipenseeides (Stm-geons) include one suppoaed Uaa genus, and one from the London Clay, besides the exiating Sturgeona. The order of Piacoids, divided into seven families, is represented in a fosaU atate by genera refemed to every famUy but one (Cyclostoma). Of theae, the moat important among existing fishes are those least abundant in a fossU state, and the converse is also true, the Cestracionts having only a few Uving speciea, whUe the Eays and Saw-flah are rare among extinct forms. The oldest placoid flshes are Cesfracionts, but the greatest development ofthe famUy seems to have taken place about the close ofthe carboniferous, and commencement of the secondary period, and they are now represented by a single species. The Hybodonts commenced in the carboniferoua period, and extended only to the cretaceoua rocka ; but like the Cestracionts, the chief species are triassic and ooUtic. Of sharks (Squaloids), there are representative forms from the commencement of the c&,rboniferous to the eriating period, the cretaceoua rocka generaUy containing perhapa the greatest number, although many teeth are found, and some of gigantic size, in the middle tertiary series. The rays and saw-flsh have been found only ij tertiary rocks, but the Chimeroids appear to have extended over a much wider range, remaina ha-ring being found occasionaUy in the carboniferous limestone. The Ctenoid and Ctcioid ordera of Agassiz, include a veiy large propor tion of aU existing flshes, but not a single species older than the chalk. The Perch famUy amongst the former, and the Scomber and other families, of which the carp, the pike, and the herring are now well known genera, are those chiefly represented in the ancient seaa. It is remarkable, however, that the fosaU species are usuaUy of distinct generic character, and not unfre- 382 PHYSICAL GEOGRAPHY. quentiy form into a group or sub-famUy, showing some more or less striking peculiarity. Thus, tiiere is a distmct group of perch-Uke fishes in the creta ceous rocks, having more than seven rays to the branchiostegous ray, and dif fering absolutely m this pomt of sfructure from the existing species. So also tiie Sparoid fish (Dentex, &c.) are found only fossU ui the Monte Bolea (older tertiary) beds. Most of the other Ctenoid, as weU as the Cycloid fishes, are represented either by a few species of known genera, or by genera now altogether extinct. Many more are found in the tertiary than the cretaceous rocks, and the beds of Monte Bolca are especiaUy rich in indiriduals as well as species. The foUowing tabular statement of the distribution of fossU British species determined by M. Agassiz some years ago, wUl, if not quite accurate, give atleast a useful idea of the subject. It must he observed, that the number of British tertiary species is exceedingly smaU, compared with that from other countries. Table I. — Grouping of the Species qf British Fossil Fishes. Cycloids Ctenoids Placoids — Cestracionts ... Hybodonts Sharks Rays Chimeroids Table II. — Distribution of British Fossil Fishes in the Principal Groups of Formations. nera. Species. Genera. Spedes .. 86 Brought forward .. . 341 .. 31 GiNOms — Lepidoids . 27 . . 116 13 .. 83 Sauroids . 25 . . 74 5 .. 48 Coelacantbs . 10 . . 27 11 .. 26 Pycnodonts . 84 7 .. 24 Scleroderma . 6 9 .. 43 Sturgeons . 2 341 Total species .. . 650 o.t5 Total Species. 'ii 1 1 1 i 11 ^1 1 1 23 f 8 m 1 n ¦si11 i o i s U CA rt u Ci. >.; CQ o a, ca CD o u Paleozoic 7 Silurian . . . 7 7 69 Devonian . . . 7 3 10 34 13 12 59 170 Carboniferous . 34 63 10 1 ,, ins M 14 14 62 49 Permian . . . 1 10 11 24 10 3 1 .. 38 Second AET. 63 Triassic series . 6 7 11 ir< 40 .¦i R 1 q 93 12S Lias 11 5 5 2 2 S5 m 41 1 1 1 103 ,^ 202 OoUtic series . . 19 10 .¦i n i! 16 r,7 37 ."iR 3 49 M.'S 2* Wealden series . 7 1 4 1 13 7 4 11 155 Cretaceous series 16 1 29 5 51 5 3 2 20 6 36 19 49 Tebtiaet. 92 Older Tertiary! (London clay) i •• -• 10 19 3 32 •• 10 1 11 12 37 i6i Distribution of extinct Mollusca. — Ofthe varioua natural groups of mollusca, or sheU-bearing anunals, which have left behind them diatinct indicationa of a former state of existence, the Cephalopoda are among the most remarkable and abundant, especially in the older and middle series of • The species of Placoids thus designated, are determined only from Ichthyodornlitcs, except in some cases, (especially on the Silurian list,) where they have not yet been referred with certainty to any natural family, and may be either Placoids or Ganoids. DISTRIBUTION OF ORGANIC BEINGS IN TIME. 383 rocks. The Gasteropoda, of which the limpets and whelk are examples, and which now include the large fribe of univalve sheUs, are also well indicated by a vaat number of species, while the Conchifera (the bivalved-shell animals) are presented in a number of difierent forms, graduaUy approximating those of exiating species as they approach our own times, but afiording m the older rocks generaUy a smgular preponderance of the group called Bka- CHioPODA, repreaented now by the Terebratula. Beginning vrith thoae of higheat organization, we find the remaina of Cephalopoda of aimple and long extinct forms in the most ancient of fosUi- ferous rocks. The genus Orthoceras, and others nearly aUied, (Gomphoceras, Cyrtoceras, Phragmoceras,) are thus enormously developed inthe SUurian and Devonian rocks, whUe Nautilus, Clymenia, and afterwards Goniatites, present numerous Devonian and Carboniferous species, and a singular preponderance of individuals greatly aflTecting the physiognomy ofthe fauna. The nautUus, retaining its general form and structure, waa in the secondary period accom panied by the numerous members of the genus Ammonites, which, attaining a maximum of development in time towards the latter part of the period, entirely died out before its close. PecuUar forms of the sheUs of these animals are to a very remarkable degree characteristic of particular beds or groups of beds, and thus in the ohaJk, the form which at first was a com paratively aimple spfral, became greatly varied, and often exceedingly diff'erent from the normal type. The genus Belemnites, although rather less widely diffused, contains aome of the moat doubtful and least recognisable of aheUs, partly from the great simpUcity in the external surface and form, and partly from the varietiea of groweth and accident to which it was subject. No less than twenty -five genera of ancient Cephalopoda have been determined, of which only two are now Uving, (Sepia and Nautilus,) and but three additional ones can be found in aU tertiary deposits hitherto known. There are nine genera Palseozoic, (seven of them from the lower rocks,) fifteen are lower secondary, and six upper secondary. Of aU the genera, Anmionites is that most abundantly represented ; and it has been found convement and useful to separate its very numerous species into no less than twenty-one groups, forming seven dirisions of the genua, characterized chiefly by the ahape of the back of the ahell. Thia diriaion ia conaidered to be natural and gives proof of marked modificationa of form, having reference to epochs of time. It was infroduced by Von Buch, and has since been slightly modified by M. A. D'Orbigny. The species of Gasteropodous MoUuaka, found in the oldest or SUurian rocks, are comparatively few, and are difficult to determine accurately, although many have been referred to exiating genera. The weU-known genua Natica, the patelUform Capulus, and the Chiton, are considered to be truly represented in these ancient rocks, but with these there are a number of others, more or less reaembUng Littorina, Nerita, Patella, Trochus, Turbo, and Turitella. There are many others to be added to the hst. Taking, however, a vrider range, we find amongst the principal genera of these univalve moUusks, only ten acknowledged, and flve doubtful ones, in the whole lower Palaeozoic group of rocks, and only sixteen admitted, and ten doubtful in the upper Palseozoic series, most of the genera in the older being also included in the newer rocks. Of these, all vritiiout exception are marine, some being Uttoral or inhabit shaUows, but most of them occurring in deep water. In the lower aecondary rocks we have sometimes thirty-six genera, and in the upper secondary forty-six, whUe throughout the tertiary rocks the order is represented in 108 genera, including a number of terresfrial and fresh-water species. The CoNCHiFEEA, or bivalve moUusks, are very scarce in a fossU state in the oldest fossiliferous rocks, and exhibit some singular and long extinct fonns. The Avicula and Pecten are the first known genera distinctly reco gnisable, but vrith them are associated several others, that have been doubt- y, and in many cases wrongly, referred to such groups as those which now 384 PHYSICAL GEOGRAPHY. include the cockle, the rnya, the muacle, &c. It is in the carbonU'erous Ume stone that shells of this kind first become common, and Ireland is especiaUy rich in specimens. The species of Arcacece are especiaUy characteristic of this among the ancient formations, and in the stiU newer depoaita of the Oohtic period, where foasU shells of all kinds are unusuaUy abundant, this famUy is nearly approximated to the existing diriaions. Beaidea these, we have also in the OoUtes species of Corbula, Porina, the Mytilacece, the Veneridce, the Lucince, Astarte, Lima, and Crenatula. ' The genera most developed in British strata are, Pholadomya, oi which nineteen species are enumerated, Modiola (17), Area (23), Nucula (11), Trigonia (13), Astarte (22), Cardinia (12), Cardium (12), Isocardia (11), Pecten (31), Lima (23), Gervillia (10), and Ostrea including Gryphcea (33). Some genera, of which there are few species, are also highly characteristic, as Pema (2), Pholas (2), Panopaa (several), Opis (2), Myoooncha (1), Lysiomassa (4), Hippopodiwm (1), and Corbis (3). In the fresh-water beds of the Wealden numerous weU-marked species of Zinio occur, with Cyclas and Dreissena. The British cretaceoua fossUs of this famUy have considerable relations with OoUtic forms, and in some iew instances (as Gervillia aviculoides) appear to be identical. The greater number occur in the Greensand, or Lower cretaceoua aeries, and indicate the formation of theae beda to have been in shaUower water than that in which the chalk waa depoaited. The genera greatly developed are. Area (12), Nucula (11), Trigonia (12), Venus (17), Inoceramus (17), Ostrea ¦with Gryphcea (20), Lima (12), Pecten (14). The presence of tme species of Crassatella, Cyprina, Cardita, Solen and Spondylus, is worthy of note. Pholadomya, Panopcea, Corbis, Corbula, Isocardia, Anomia, Avicula, Ger villia, Plicatula and Pecten, have weU-marked repreaentationa among British crestaceous fossUs. Thetis is a remarkable genua ofthis period."* The Eocene or older tertiariea contain a vast number of apecies referable to knovra genera, but aU, or almost aU of them are now extinct. In the upper tertiaries, a larger proportion of existing species is met with, and the pre vailing and characteristic forms assume a much closer resemblance to thoae found in the vicinity of the spot containing auch groupa. There are also many generic forms of theae sheUs in foreign beda, not known in our own counfry, and there appears to be a grouping which graduaUy resembles that now observable. Many species found fossU on our own shores and belonging to newer tertiary deposits, have also been met with imder other cfrcumstancea and in diatant spots, atUl living.f The general character of the bivalves of the middle part of the tertiary series in England is Mediterranean, or rather Lusitanian, and of the newer part, mixed Mediterranean and northern, whUe stiU newer beds occur which are eaaentiaUy northem, and even arctic.J The remarkable aheU-bearing animals caUed Bbachiopoda, although somewhat rarely represented in exiating aeaa, must at one time have ^ayed a most important part in the animal economy, and even greatly affected the physiognomy of many ancient and now extinct faunas. They aeem to have been the earliest introduced of aU moUusca, some species of Lingula being the oldest fossUs known. They soon and greatiy increased, and the typical forms of genera, and more important groups, were at once amongst the most abundant, and the most remarkable of the forms of organic life of which any remains are left. Of these animals more than 100 species have been determined from British Silurian beds alone, the genus Ortliis (50 species) being most • See the descriptive letter-press attached to the Palicontologioal Map, by Prof. E. Forbes, lu Johnston's Physical Atlas. t This is the case also with the univalves, as a remarkable Fmus, (F. coatiarius,) long sup posed to be confliu'il to the fossil beds on the cast const of Englaud, has lately been found occupying a definite position as a recent species on the coast of Spain. t E. Forbes, ante cit. DISTRIBUTION OP ORGANIC BEHSTGS IN TIME. 386 remarkable. Lepioena (20 species) is also characteristic, and Pentamerus is confined to this group of rocks. Spirifer, Terebratula and Atrypa, Orbicula and Crania, and a few Producti have also been described. In the Devonian period Spfrifer increases, Strigoceplialus replaces Pentamerus, Productus mcreases, Orthis decreaaes greatly, Leptoena continuea, and Calceola (a new genua) ia added, and is exclusively of this period. In the carboniferous rocks, Spirifer and Productus, and Chonetes^th Terebratula, include almost the whole number of Brachiopods, which, fiowever, are enormously preponderant in number of individuals in many disfricts. In the Permian rocks the whole group has fallen back mto a few unimportant representatives, thirty-seven apecies only being kno-wn. The genua Terebratula is in a high degree characteristic of the -whole secondary period, and only a few Spirifers, with Crania, Lingula, Orbicula, Magas, and others, interfere with its presence. In the tertiaries, the sheUs of Brachiopods are almost as rare as in existing seas. A remarkable and anomalous extinct group, which under the name Budistes have attracted much attention, but have not been satiafactorUy explained, are pecuUar to the rocka of the newer secondary period. 162 Distribution of extinct Aeticulata. — Of this great and important class, now repreaented by ao many thousand species of insects, Cirrhipeds, Annelids, and Crustaceans, but few remains, comparatively speaking, have been found in a fossU atate. Some ofthe few, however, exhibit great intereat. Of Cruataceans, the famUy of Trilobites, now totaUy absent, aeems to have been eminentiy characteristic of Palaeozoic formations. There are several groups, chiefly from the Silurian or lower part of the Palaeozoic aeriea, and the apecies that occur in the Devonian and Carboniferous rocks, are for the most part few in number, and not remarkable for any fuU repre sentation of indiriduals, or any marked peculiarity of form, with the exception, indeed, ofthe genera Brontes and Harpes (Devonian), and Griffithides (Car boniferous). Many other Crustaoeana appear in the carboniferous rocks, but they have not been found in sufiicient abundance to afiect the general character of the group of fossUs. The Oohtic rocks, and indeed aU the rocks of the secondary epoch, from the Lias to the Chalk, present numerous and interesting Crustacean remains, many of them pecuUar, but aU approximating much more to the existing forms than the Trilobites do. The Lias contains several species resembling the lobster and prawn, and these as weU as species of crabs, &c., are continued and multipUed in the oolites of England, and the upper ooUtic beds from which the celebrated lithographic slate of Solnhofen, in Bavaria, is obtained. Other Crustaceans, both crabs and lobsters, or rather representatives of these tribes, are found occasionaUy in the lower cretaceoua beds. The London Clay, and other tertiary beds, both in England and elsewhere, contain remains of varioua apeciflc forma stUl more nearly allied to the inhabitants of the adjacent seas. Some speciea of smaU Crustaceans of lower organization, ( Cypris, &c.), have been met vrith abundantly in various parts of the newer palaeozoic, the secondary, and tertiary aeries. ^ Insects have left remains in various rocka, but they are generaUy too Ul preaerved to enable ua to diatinguiah any very important characters. In the coal meaaurea the body of a acorpion, the remains of wings of flies, and the wing-cases of some beetles have been described, and in the Lias and lower Oohtes numerous fragments, generally imperfect, have been the objects of careful examination by Mr. Westwood.* The newer OoUtic and the W ealden deposits present other examples, but it is difficult to refer to fragmenta so im perfect by very diatinct specific charactera. In tertiary deposits the remains of such animals become much more abundant, but are chiefly conflned to a few localities. The tertiary beds of Aix, in Provence, and of CEningen, the hgnites of the neighbourhood of Bonn, and the amber-bearing deposita on the * See Brodie's liistory of Fossil Insects in the Secondary Rods of England, CO 386 PHYSICAL GEOGRAPHY. shores of the Baltic, are the most remarkable andjproUfic, and have yielded results of some importance to the Entomologist. The foUowing eight principal orders of insects are represented in a fossU state — Coleoptera (beetles), Ortho- ptera (locuats), Newroptera (dragon-fly), Hymenoptera (Ichneumon-fly), Hemi- ptera (lady-bfrd), Lepidoptera (butterfly), Diptera (fly), Thysamowra (Podura). Eemains of Annelida are not wanting in afossU state, but the animals ofthis tribe being aoft, only a few and imperfect indications are usually preserved. In the oldest SUurian rocks, marks have been found which have been referred to worms, and it is not unlikely that simUar indications might be found in rocks of almost aU ages. Many worms incase themselves in stone, and thus the sheUy tubes in which the animal once Uved are very permanent. Since, however, at present, very difi'erent species are found to inhabit tubes not to be diatin guished from one another, it ia clear that not much stress can be laid on eridence derived only from data so Uttle important. The genera Serpula and Ditrupa are of almost universal occurrence, and probably include a large number of extinct species in aU parts of the world and of almost aU geological dates. 163 Distribution qf extinct Radiata. — Of these animals, the Echino- dermata and the Zoophyta form the two most important groups, and we have in addition to these, the Amorphozoa, containing the sponges, of which many are found in a fossU state. Many weU marked and peculiar forms occur in a foasU state in rocks of aU periods, and many natural famUies, once enormously abundant, have either entfrely disappeared or dwindled down to the most insignificant dimensions. Of the Echinoderms the most ancient group is that of the Cystidea, closely aUied to another group, the Crinoidete, which, as weU as the former, is abun dantly presented in a fossU state, but very rarely by any existing speciea. The Cyatideana include a number of genera aU (vrith one doubtful exception) Silurian, but the Crinoida are more vridely diflused, althongh these alao appear to have commenced their existence at the very earUest infroduction of life, and attained thefr maximum of development during the Carboniferoua period. A. new and peculiar group (Pentacrinus) replacea tbe older forma in the Lias, and by varioua species continues into the Chalk. Other, but not numerous, species are also found, the free-swimming forms commencing, and graduaUy displacing the attached Crinoids. In addition to the Crinoids, the orders of OphiuridcB and .Asteriadce (star-fishes) commenced in the oldest period, but appear to have obtained thefr chief development much later. Star-fishes and true Ophiuras, as weU as Crinoids, have thus a vride range of distribution in time among the large and not unimportant group of animals to which they belong, and in the newer partof the Palaeozoic period they began to be accom panied by Echinidas (sea eggs). The remaining groups of Echinodermata present no hard parts by wmch thefr form can be preserved to future ages, and there is thus no evidence of thefr existence in a fossU state. The Zoophyta, amongst which are included corals and a multitude of smaU animals having calcareous skeletons, besides many others which have no solid framework, afford abundant indications of their former existence in rocks of aU ages. It appears from the result of observations on these, that • little if any change has been made in the plan of zoophytic organization since the beginning of geological time ; that wUiilst some genera have passed away and new ones have taken their places, the earhest forms were as perfect as their successors, indeed, among the very earhest, the most perfect forms of zoophytes play as important a part as the most rudimentary. Most of the genera are remarkable for thefr great duration in time, and this apphes also to agreat many species both during Palaeozoic and Tertiary epochs.'* There are two diviaions of Zoophytes buildmg solid habitations, one of which, the Bryozoa, does not really belong to the dass, but on account ofthe E. Forbes, in Physical Atlas, ante cit. DISTRIBUTION OP ORGANIC BEINGS IN TIME. 387 exfreme simUarity of the stony frameworks constructed by its members, they cannot be dissociated from the trae polyps consfructing corals. Of this dirision as of the other (the Polyps), there are examples in SUurian rocks where the genera Eschara, Flustra, and others are found. In the same rocks are Favosites and Chcetetes, Petraia, Catenipora, and Aulopora. These, with Strombodes and Syringopora, give a marked character to the oldest fosaUi feroua limestones of the SUurian period. Many ofthe SUurian species extend into Devonian rocks, although many others diaappear and are replaced by new forma, and Astrcea, afready introduced, becomea there more abundant. Gyathophyllum, lithodendron, and Lithostrotion occupy an important place, and with Gorgonia attain a maximum in the subsequent or Carboniferous rocks, which are remarkable for the large proportion of coralline limestone ofwhich the lower division ia made up. The PalsBozoio zoophytes are quite distinct as a group from the apecies found in rocks of the secondary period, and some forms, as Graptolites, are altogether pecuhar to the older epoch. In the lower and middle Oolites, a conaiderable number of corala occur, Astrcea being eapeciaUy rich in apecies and indiriduals, though Turbinolia is almost equaUy remarkable. In the cretaceous rocks there are many smaU corals, most of them Bryozoa, which have not been much examined, and in tertiary formations the number of species is very large, but the condition of the seas in which they Uved appears to have greatly differed from that of more ancient periods. The fosaU Amorphozoa include chiefly sponges aud spongiform bodies, the lowest in organization of aU that have been determined. There are a few SUurian and some Devonian species, whUe others have been observed also in carboniferous rocks, but some of the German locahties of OoUtic rocks are far more remarkable than older beds for the preaence of such remains. A large number of forms have been described both there and in the newer or creta ceous rocks, the moat remarkable genua among the latter being Ventriculites, which occura abundantly among the chalk ninta. Tertiary sponges have been described by MicheUn and others. There stiU remain to be mentioned the two large and doubtful, but not uninteresting, groups, the Foraminifera and Infusoria, which must be referred to the Zoophyta, and wbich, although no doubt introduced very early and occurring fossU in Devonian rocks, begin to be important in the newer part of the palaeozoic period, especiaUy in Ilussia. Other species have been found in the lias and oohtes, a large number in cretaceous rocks, and an almost infinite multitude in rocks which are perhaps intermediate in age between the secondary and tertiaiy, as weU as in the older tertiary rocks of various parta of Europe and North America. Most of the fossU infusorial animalcules of which remaina have been found are in tertiary rocks of comparatively modem date. 164 Distribution of extinct Plants. — The remains of planta are, aa might be expected from the character of most of the deposits, either entfrely absent, or confined to a few spots, and only in rocks far removed in point of time. Thus we find such remains chiefly in the rocks of thf carboniferous period, but also in the older ooUtic rocka in the "Wealden and in tertiary deposits. The oldest forma of vegetation are very diatinct from thoae since infroduced, and show a remarkable preponderance of fema, both arborescent and others — at least, thia is the case with the carboniferous fossUs : and although some species have been referred to Devonian rocks, and fiicoids are foimd occasion ally in SUurian Umestones and schists, the reaUy important groups are only known in beds associated with coal. With the ferns of this period are dico tyledonous frees aUied to pines, and these in the newer beds are accompanied by Cycadem and trae Coniferce, which ranged plentifuUy during the secondary penod in England and Europe. The fossif plants of the London Clay are closely aUied to some groups now conflned to the East Indian Islands, and probably indicate a warmer climate than at present, and avery difi'erent disfribution of land. CO 2 388 CHAPTER XIII, ETHNOLOGY. § 165. General nature and meaning ofthe science of Ethnology.— 166. On specific character.— 167. Divisions and mode of treatment of the subject. — 168. External structural peculiarities of the human race. — 169. Intemal structural peculiarities. — 170. Principal varieties of the human race, and their arrangement into distinct groups. — 171. Natural geographical limita of distribution. — 172. Language. — 173. Modification of the races of men. — 174. Mixture of races. — 175. Influence of man on other animals. — 176. Influence of man on inorganic nature and on the vegetable kingdom. — 177. Eflfect of inorganic nature on man. — 178. Statistics of the human race. — 179. General conclusion. /~^ENEBAL Nature and Meaning ofthe Science of Ethnology. — No \jr account of the Earth, its inhabitants, and its history — ^professing to explain the modiflcations of its surface, and record the revolutions and changes it has undergone — ^would be in any sense complete without including some notioe of the human race and its distribution in various countries, and at various times. The study ofthis department of Natural Ilistory has been designated Ethnology, and the object in the present chapter is to give an outhne of the science so named. We muat, however, neglect many pointa of intereat, eapeciaUy those which are connected with the personal and social quaUties of the human race, for these in no way affect that natural-histoiy view which solely belongs to Physical Geography. Considered as a race infroduced upon the EMi;h at a certain period of its history, the human famUy preaenta to the careful and phUosophic observer an irmnite variety of problems, diflicult and compUcated in the highest degree. Hitherto these problems have received but little attention compared with their real importance, and tbe growing interest felt in reference to them within the last half century has hardly yet spread to the mass of society, who are apt to shelter themselves under doubtful histories, and the general but vague ideas derived from very imperfect knowledge. The most that we can here attempt, however, wiU be to state a few of the problems, and point to the various attempts made for thefr solution or Ulusfration. The subjects that offer themselves for consideration in the strictly natural-history study of the human race, are chiefly those coimected with colour and other external peculiarities, intemal structure, language, and inteUectual development. These aU involve to some extent positive facts, and hence we may, vrith some satisfaction, discover by thefr means the degree of affinity that may exiat amongst the principal dirisions of men; but the real importance and relative value, even of these facts themselves, can only be appreciated by careful study. It may perhaps be considered, that the inquiries of chief importance, and those which, when answered, promise the greatest resulta, have reference to (1) the speciflo identity of those various races of men which diff'er most from each other, and which being found inhabiting disfricts naturaUy distinct, may be regarded to some extent as typical races — (2) the degree to which mixtures of theae racea can produce other and permanent varietiea — (3) the extent to which such mixtures as have been afready produced can be fraced back— (4) thc absolute period during which the human race has been actuaUy present, not only on the globe in general, but in particular countries — and (5) the true amount of mfluence that man, in an uncivUized or civiUzed state, has upon the diatribution of other famiUea of his own kind, and upon other organic beinga. These ai-e points fafrly within the inquiry of the natm-aUst, and demand therefore notice in this place. ETHNOLOGY. 389 166 Spedfic Character. — In considering such points we are forced to pay some attention to another question that has long been a source of dispute — namely, what is to be imderstood by the term species, and how far varietiea may extend without reaching to apecifio difference. In man, aa in other animala of high and complex organization, capable of adapting themaelvea to great changes of temperatm-e and cUmate, living at one time under the burning raya of a fropical aun, and at others enduring a three or four months perpetual night and frost near the poles, there must occur many modifications of habit at least, if not of structure, which manifestiy involve no departure from the normal type. But because this is the caae, we are by no meana justified in assuming that such differences of habit can involve real and permanent modification of structure, for such a conclusion could only with propriety be admitted, if it were supported by many analogies derived from other natural-history facts, dfrectly bearing upon the point. Too Uttle attention haa often Tbeen paid to natural-hiatory and common-aenae viewa on thia aubject, and to the laws of analogy and affinity of diatribution and linutation of species of other animals, in deciding on the probable origin of the human race, and the date of thia event. It haa, indeed, been usual to assume, as the definition of species, that ' the faculty of procreating a fertUe offspring constitutes identity of speciea, and that all differences of sfructure and external appearance compatible therewith, are solely the effects resulting from variety of cUmate, food, or accident, consequently are forma of mere varieties, or of races of one common species.'* It may, however, be safely asserted, that any argument conceming the origin of the human race derived from this deflnition is ricious, for the whole point in question is assumed, and there seems no doubt that several of those groups of other animals best determined, and moat universaUy aUowed to be distinct, may naturaUy breed together, and do produce hybrids capable of continuing a race, and exhibiting some pecuUarities of each of the tribea from whioh they are derived. Thua, varioua tribea of wi\.A.felidiB breed with each other ; goats breed vrith sheep ; common cattle vrith the Zebu, and other well marked species; and the common hare with the rabbit, and alao vrith the hares of other countries, exhibiting examples of no alight importance, where fertile hybrids have been produced by mixtures of weU marked species, although new races have not been established. In aU theae cases, as, indeed, in any single famUy of any animal, a certain amount of mixture of blood is requfred to keep up a healthy race, and it may even be necessary to revert to the original stock for such purpoae, but this does not interfere with the important conclusion that auch mixtures of species are, to a certain extent, natural and are essentiaUy proUflc. In spite of this, notwithstanding such occasional exceptions to the usual steriUty of hybrids, it ia atUl, however, very clear, that there must be some prorision in the constitution of organized beinga tending, under ordinary circumatancea, to keep breeda distinct, and prevent the amalgamation of really natural groups. In other words, though apeciea may not be atrictiy determin able by the test of unfertile hybrids, there stUl are tine specific distinctions preserved unbroken and unmixed vrith singular tenacity. It is of the highest importance for naturaUsts to determine, if possible, the nature of these diatioctiona, and how far any of them are universaUy appUcable ; but we are bound to admit that thoae who puraue the higher departments of PhUosophical Zoology, have as yet faUed in assisting the progress of natural history by the discovery of any such charaoteristica.-f- * Hamilton Smith, Natural History ofthe Human Species, p. 114. t We quote from a very recent work by Alexander Von Humboldt the following additional evidence on this subject of the fertiUty of hybrids :— ' The Canadian bison can be trained to agricultural labour. It breeds with the European cattle, but it was long uncertain whether the hybrid was fruitful. Albert Gallatin, who, before he came forward in Europe as a distin guished diplomatist, had obtained, by personal inspection, great knowledge of the uncultivated 390 PHYSICAL GEOGRAPHY. 167 Divisions and Mode of Treatment ofthe Subject. — ^Ethnology, there fore, or the physical history of the human race, cannot obtain from general natural history a decisive answer, even to thoae inquiries which properly and neceaaarUy belong to that acience ; and it therefore caUa for asaiatance from many other departments of knowledge. In the preaent outline, we may vrith advantage conaider, first, that portion of the physical view of the human species which is more directly connected with zoology, comparative anatomy, and comparative physiology. "When in this way some idea is communicated of the more elementary facts, we may proceed to consider very generally those points of comparative phUology, and afterwards of general human history, which bear upon the questions we have to discuss. Having thus deter mined the natural-history facts of our race, it wUl be useful to consider the influence of the human apecies on inorganic and organic nature, and con versely the influence of external nature on the human famUy under various cfrcumstances of temperature, climate, and civilization. It is tme that in this sketch many detaUs of great importance may be omitted, whUe, on the other hand, opportunities -mil he afibrded for lamenting the almost total abaence of great claaaea of facts ; but perhaps also this may be useful in dfrecting attention to the present state of knowledge on so important a subject. 168 External Structural Peculiarities of the Hu/man Bace. — Those marked pecuUarities of men that are continued from generation to generation without change, and seem at length to be absolutdy unchangeable, relate chiefly to colour, hafr, and external form, but also include some atriking anatomical characters of great importance. Thus, permanent varieties in stature, in the proportions of the limbs, in the form of the pelvis, and in the form and proportions of the cranium, are so numerous and distinct aa to separate at once the different famUiea of men into aeveral groups. The earUest recorded accounts that have survived the destruction of written documents and oral fradition, seem to point to the existence of races of men attaining in former times more gigantic dimenaiona than at present ; and however exaggerated and diatorted the accounta may be, they yet aeem aufficient to juatify a conclusion, that the early conquerors in Asia Minor, and Southem as weU as Northern Europe, may have exceeded the original races in respect of height, as much as they certainly did in vigour of character and physical energy. The only race, however, that can now be referred to as showing any distinct evidence on the subject is that which has been described in Patagonia, and which, Uke others, must soon give way to the encroachment of the white man ; but stUl showing superiority of form when compared, not merely with the stunted and Ul-developed Puegians about them, but even when placed side by side with Europeans of full vigour and ample propor tions. This is stated by aU travellers of credit, and must certamly be admitted. Many instances, however, are on record of individuals in aU countries attaining even a more conaiderable stature ; and amongat them we may mention the case of a Swede, one of Frederick the Great's gigantic guards, described by Haller as being eight and a half feet high, whUe several Irishmen have been known to attain the height of seven to eight feet ; and one, whose skeleton is now in the Museum of the CoUege of Surgeons, and who died, aged twenty-two, in 1783, measured eight feet four inches. Notwithstanding these exceptions of individuals and races, there is cer tainly no evidence of any great deviation from the average standard that parts of the United States, assures ns that ' the mixed breed was quite common flfty years ago in some of the north-western counties of Virginia j and the cows, the issues of that mixture, propagated like all others.' ' I do not remember,' he adds, ' the grown bison being tamed, but sometimes young bison calves were caught by dogs, and were brought up and driven out with the European cows.' At Monongahela, all the cattle were for a long time of this mixed breed, but complaints were mado that they gave very littlo milk.' We beUevo no one ever questioned the speciflo distinctions between the Europeiui breed of cattle and the bison. ETHNOLOGY. 391 cannot weU be referred to local circumstances, but as Uttle doubt can there be that various races do present diff'erent average stature. Thus, the Pata gonians, inhabiting the southern exfremity of South America, are beyond all question an eminently taU race, whUe the Bosjesmans of the Cape of Good Hope, and the neighbouring counfry, are as strikingly below the average stature. Nor is inteUectual cultivation by any means concemed in this matter, since the native AusfraUans, the nearest in point of low intellectual powers to the South African dwarfish tribes, are, on the confrary, a tall race ; whUe the stunted Fuegians, the race nearest in position to the lofty Pata gonians, and the Caffres, inhabiting the country near the Bosjesmans, differ but httle in civiUzation from thefr dwarf neighbours. Although it is certain that great differences in stature are capable, under favourable cfrcumstances, of producing permanent varieties without reference to climate, yet it has been considered that this latter also may have some effect. The point is one of some Uttle importance, especiaUy in considering the average height of races taken fafrly from a sufficient number of observations; but facts are wanting to found any certain argument with reference to this subject. If there is difficulty in judging of unity of race by the average stature, it wiU readUy be understood that other dimensions are stUl less useful in this respect. A considerable difference, however, may be traced in the development of varioua races, though insufficient tojustify important generalizations. Other external characters of the human race are found in the form of particular parts, some tribes having the head fiattened in a remarkable maimer, otners having the bones of the exfremities more or less developed, some possessing thick lips, othera smaU ears, others high cheek bones, whUe a vaat variety of less important differences characterise particular groups, according to some temporary or local cfrcumstances. Many of these depend directly on intemal sfructure, whUe others, such as colour, are excluaively auperficial, although sufficientiy important to require careful and minute attention. The nature and condition of the hafr afford other external charac teristics of singular value, and thus hafr and colour are uauaUy considered as the most dfrect and ready means of grouping the different varieties of the human race into large natural famiUes. The pecuUarities of colour presented in man are chiefiy four — white, yeUow, red, and black, but each of theae admits of a vast variety of shades. The white is often varied with deUcate shades of pink, and passes also into tawny and oUve coloured. The yeUow passes into copper coloured on the one hand, and black, on the other. The copper colour also admits of many varieties, and even black ia often presented of different shades in the various members of the same great natural famUy. AH theae colours are Uable to what are caUed albino varieties. Of the whole population of the world, a very large proportion, including almost aU the inhahitanta of tropical countries, exhibit tints of colour approximating them more or less closely to black. These have generaUy black hafr and dark eyea, the hue of the skin being leps decided than that of the hafr and iris. Where the black is combined with red, as in the indigenous copper coloured races of America, the hafr does not cover any part of the face, and in aome parta of Africa the hafr ia not only black, but is crisp, woolly, and short, presenting very marked and permanent characteristics. The white and yeUow varieties of men generdly present a fair complexion, assuming a red or tawny tint on exposure to sunlight, and accompanied by hafr of Ught brovra, aubum, yeUow, or red colour, and eyes either grey, azure blue, brown, or some shade of yeUowish or greenish brown, or greenish yeUow. These colours of the eye are often found in individuals not presenting the frue characteristics of skin and hafr, but in great masaea of men not exhi biting recent mixture of race one prevailing tint may generaUy be recogniaed. The term albino is appUed to mdiridual cases occurring from time to time in aU countries, although chiefly noticeable among Negroes, owing to the 392 PHYSICAL GEOGRAPHY. marked contrast then preaented to the ordinary condition. The characteristic of this variety is, that the hafr and skin are perfectly white, without a tinge of colour, and the fris of the eye red. Eaces of albmos have been described in some parts of the interior of Africa, but they probably do not extend to more than a few famUies in particular -vUlages. The persons thus charac terized are frequently the offspring of parents whose other chUdren do not present the same peculiarities. _ _ Before concluding this account of external structure, it is necesaary to refer to varietiea of form preaented by the face, and eapeciaUy the Ups and noae, whioh are amongat the more dfiatinctly marked characteristics in the Negro race, the Chineae, the Malaya, and aome of the Americans. The form ana position of the ears is also a point worthy of remark. 169 Internal Structural Peculiarities. — The form and proportions ofthe human cranium exhibit differences ao marked, and ao greatly affecting the intellectual development and capacity for civUization of the inhabitanta of diff'erent countries, that the assistance of anatomy in this matter is of the highest importance to the progress of Ethnology, and lately also it haa been found that pecuUaritiea of structure correaponding to these are to be met with in the figure and proportiona of the pelvis. It is necessary, therefore, to consider the facts that are most important in each case. The cranium is a hoUow bone pecuUar to vertebrated animals, and forma the protective investment of the brain, on which it is moulded, and the form of which, in warm-blooded animals, it represents. It contains in its waUs the organs of hearing, and contributes to form the orbits of the eye, the nostrUs, and the face. It is buUt up of eight bones which are not finnly connected tiU some time after birth, so that there is a certain amount of flexibUity, admitting of great change of general form and proportions by continued artificial pressure. The ffrst attempt to point out distinctive characters in skuUs was that of the anatomist Camper, who based his conclusions on the shape of the akuU and the measurement of the angle (caUed the facial angle) included between two linea, one drawn from the paaaage of the ear to the baae of the noae, and the other slanting from the forehead to the most prominent part of tbe upper jaw-bone. This angle was thought to afford a measure ofthe capacity of the fore part of the slmU and of the size of the corresponding portion of the brain, and in this way the skuU of Em-opeans when measured gave an angle of 80°, that of a Ealmuk 75°, and that of a Negro only 70°. He alao observed that there are forms of the head in which the angle appeared to be greater than it is in the European, and others in which it is less than in the Negro, the former being the ideal heroic heads ofthe ancient Grecian deities, and the latter being animala of inferior organization, the ape having the greateat angle, but not exceeding 64°. It must, however, be remarked, that in this measurement the apparent gradation from the Negro to the ape is not real, as if the skuUs are taken from animals of full age in which the dentition is complete and the jaws completely developed, the angle is not more in the orang or satyr than 30°, and in the tooglodyte only reaches 35. In the comparison of skulls, one important point has also aometimea been overlooked — namely, the form of the base of the skuU, on which dependa much of the general measurement of the anglea. Besides the facial ande, there are other points of diff'erence aeen in comparing the skuUa of different racea; for whUe some skuUa are round and symmetrical, with a broad smooth forehead, others, again, are square, or nearly so, othera pyramidal, othera nai-row and lateraUy compresaed; whUe 11 tbese varieties naturaUy induce very marked external pecuUarities corre sponding to them. Almost aU the anomalous and even monstrous diver gencies from the normal type in man are capable of being fransmitted to posterity, aud thus tbe races amongst whom flatness of the head or any other deformity ia regarded aa a beauty, exhibit the corresponding form in the heads of very young infimts, even when no mechanical pressure has been induced. ETHNOLOGY. 393 One of the most important varieties in the structure of diff'erent races consists in a pecuUar conformation of the pelvis, and tliis has recently been the subject of careful investigation by Dr. VroUk, of Amsterdam, who has examined and described minutely the detaUs observable in skeletons of Europeana, Negroea, and Javanese of both sexes, a female ofthe Bosjesmans race, and a person of mixed breed. The important result of these investigations aeems to be, that, although the proportions of the bones in this region in Europeans are very different in the two sexes, the difference is much greater between the male and female Negro, the former exhibiting remarkable strength and density, whUe the latter, in the same race, combmes lightness of substance and delicacy of form and structure. The Javanese of both sexes appear to possess a pelvis of pecuUar hghtness of substance and smaUness of size, while the female BoBJesman exhibits, in a most exaggerated form, the narrowness and elonga tion remarkable in the Negress, and apparently approaches to the structure ofthe chimpanzee and the orang. Other observations on the pelvis, by Professor Weber, woiUd tend to show that all varietiea of form in the pelvis may be described as belonging to one of four kinds — the oval, the round, the square, and the wedge-shaped, of each of which examples are found in most countries. The form that is most usual among Europeans is the oval, that of the Americans the round, that of the Mongols the square, and that of the different racea of Negroea the oblong. Other structural pecuUarities are seen in the bones of the extremities, which in the Negro and some uncivihzed races are comparatively elongated and sfraggUng, crooked and badly formed. Thus the tibia and fibula in the Negro are more convex in front than in Europeans, the calves of the legs very high, the feet and hands fiat, the heel-bone flat and continued nearly in a sfraight line with the other bones ofthe foot, and the foot itaelf remarkably broad. The fore arm is also much longer in proportion to the body than in other races, and the head ia placed further backward on the vertebral column. 170 The Principal Varieties of the Human Bace and their Arrangement into Distinct Grmups. — Although the pecuUaritiea mentioned in the preceding aection are none of them sfrictiy confined to special races, stUl they are so far characteristic that by thefr meana we can -with some degree of reason speak of the white, black, copper-coloured, and other races, without fear of being misunderstood, and we may also subdivide tbese into wooUy-hafred, black- hafred, beardless, and others. But when connecting these so far natural f roups with those which, according to the records of human history, have welt in, or emigrated from, special countries, there are immediately intro duced various elements of confusion, preventing any possibUity of subdivision into tribes without the assumption of so much, that fiction soon takes the place of fact. It is evident that the space devoted to the subject of Ethnology in these chapters vrill by no means admit of the discussion of any riews, and we can only put before the reader, as a conclusion, the arrange ment that haa seemed most convenient and most useful. Among the various pointa of difference that might be assumed to aaaiat in the arrangement of the tribes of men, the form of the skull, combined with the colour of the akin and hair, the texture of the hafr, and the form and proportiona of the pelvis, agree for the most part uu marking at least three groups posseaaed of the extremea of difference in these reapecta, and not ill aupported by hiatoric teatimony. It has, indeed, been usual to admit of five principal or typical stocks of this kind, but,. perhaps, two of these are more properly considered aa aub-typical, at leaat m the present condition of our knowledge. The three groups thus suggested may be called the Caucasian, or bearded type ; the Mongolio, or beardless type ; and the woolly-haired, or Negeo type. The Europeans generaUy may be considered aa repreaenting the former; the Tartara, Chinese, and other inhabitants of Central Asia, the native tribes of America, and the inhabitants of Australia, the second; and the Africans the thfrd. 394 PHYSICAI- GEOGRAPHY. The characteristics of the three principal ty^ies may be thus described :— 1. The Caucasian Type. — This lypical group has received its name from the idea of its having originated in the mountains ofthe Caucasus, whence it has spread in Europe and Asia. AH the civUized nations of the West belong to it, and it has generaUy obtained absolute domination when famUies have migrated to diatant countries. It admits of many and very important subdiriaions. The races thus designated are for the most part white, bnt include tribes of almost every shade towards absolute blackness. The hair is abundant on the head, varying from the deepest brown, and even black, to auburn, yeUow, and fiery red, and becoming grey vrith age. In aU the races, the mjdes have decided beard, often spreading over the upper Up and fringing the sides of the face, being, in such case, crisp, curly, or undulating, ancTnot lank. The hafr usuaUy harmonizes vrith the complexion, and that of the head and face have nearly the same colour. The skuU ofthe Caucasian tribes is larger in proportion than in the others — ^it is oblong and rounded, and the facial angle rises from 75° to nearly 90°. Its volume amounts to from 75 to 109 cubic inches. The mouth is amaJ], the teeth vertical, the Ups graceftd and not tumid, the cheek bones not projecting, the chin fuU and round. The shoulders are ample, the chest broad, the ribs firm, and the loins weU tumed ; the thighs and the calvea of the lega symmetrical, and the whole frame constructed for the endurance of toU, and with physical powers equal to the intellectual organization, com bining more than any other race sfrength of limb with activi^, and enduring vrith ease the greatest vicissitudes of cUmate and temperature. The people thus characterized include the inhabitants of the great river- vaUeys of Southern and Westem Asia, and aU the inhabitants of Europe, except the Laplanders, the Finns, the Magyars, and some other eastem tribea. A large part of North America and many portions of South America are also now peopled with the descendants of the Westem Europeans who have migrated in a civiUzed atate. 2. The MoNGOLic Type. — The races that belong to this class differ both from the Caucasian and Negro stock in many highly important phyaical and inteUectual qualities. The skuU is smaU, the facial angle 70° — 80°, the contents of the cerebral chamber 69 to 83 cubic inches ; me face is flat, the cheek bones projecting lateraUy, the eyes smaU and obUquely placed ; the hafr coarse, lank, and olack ; the beard scanty, not curly, and not covering much beyond the chin. The nose is smaU and pointed, and the month well formed. The colour of the skin yeUow of all shades, rarely passing into white, on the one hand, or black, on the other. The typical races are square of body, low in stature, haring the trunk long, the exfremities comparatively short, and the wrists and ankles weak. The people chiefly exhibiting these pecuUarities of structure are the Cenfral and Northem Asiatics, the Finns and Laplanders in North Europe, and the Magyars of Hungary. The Chinese and Japanese, and the various Tahtar tribea are the moat numerous and characteristic of these races at present. The Esquimaux also belong to them. The Indian fribes inhabiting North America approach the tme Mongols, and may be regarded as subtypical, presenting some points of resemblance to the aberrant tribes of Caucasians. In these, however, the colour is more deeply red or copper-coloured, the cheek bones more rounded and not pro jecting lateraUy, the face broader, the forehead low, and the skuU less pyramidal. Another remarkable and very large natural group, the Malays, may be also considered as forming a connecting link between the Mongol and Caucasian typea. The Malay fribea have generally a smaU head, measuring from 64 to 89 cubic inches — the forehead is low, the face flat and broad, the nose short, the mouth wide, and the uppcr jaws projecting. The hafr is generaUy coarse, tho skin vai-yiug in colour from cleai- brown to dai-k dove, the beard scanty, ETHNOLOGY. 395 and the frame sUght, except when a mixture with Caucasian blood can be traced. As a people, they are apt to be treacherous, implacable, and ferocioua, and they are chiefly confined to the coaat, and some of the islands of the Indian Ardiipelago, excluding parts of Papua and some parts of AustraUa. 3. The Negbo Type. — The wooUy-haired stock properly designated by thia name predominate in Africa. They present many marked pecuUarities, amongst which may be mentioned a small facial angle, varying from 65° to 70°, a amaU head lateraUy compressed, a narrow depressed forehead, a broad cmshed nose, a protruding lower jaw, a vride mouth with thick Ups, and large aohd teeth, with the incisors placed, not vertical, but obUquely forwards. Besides these characteristics, we find the hair frizzled, coarse, and though not reaUy wool, simulating the appearance of it. The body is often exfremely muscular, and exhibits perfect physical development, but the humerus is ahorter, and the fore arm proportionably longer than in Caucasian skeletons. The legs and feet are inelegant, the wrists and ankles robust, and the hands coarse. The akin ia generaUy dark-coloured, but very often jet black. In- teUectuaUy, they do not occupy a high poaition among the races of men, thought being habituaUy dormant, and there being in most cases an almost peuiUe love for musical sounds. An important and highly interesting branch of this variety occurs in Westem Aaia, in what is sometimes caUed the Semitic race, including the Assyrians and Babylonians, now almost extinct, the Jews, the Arabs, and the Ethiopians. All these weU marked varieties of the human race, and a large number of others less distinctly characterised, have certainly been in existence on the Earth for a very long period, since in paintings and sculptures made by the Egyptians more than three thousand yeara ago they were as sfrongly indicated as at this day. It is certain, too, that the diff'erences are not entirely caused by climate, if, indeed, they are at aU dependent on that as an agent, but we are not at present in a condition to explain the real origin of the peculiarities of structure observed, or refer them to any reasonable and probable aource. 171 Natural Geographical limits of Distribution. — The various tribes of men, in diff'erent countries, appear in most cases to have had definite limits, corresponding to those of certain groups of animals, and although indiriduals and hordes have wandered to distant countries, and settUng there, have exposed themselves to the influence of diff'erent climatea and habita, they have yet retained thefr peculiarities of stmcture. It is therefore important to consider, as far as possible, the chief groups in relation to the country where they now exist, or whence they have migrated. The Arabs and the Egyptians are two examples of contiguous races belonging to the same famify, but exhibiting marked diff'erencea, the former occurring in Aaia, and the latter in Africa; the former adjacent to the civilized countries of the East, among whom the Hindoos, the Persians, the Armenians, and others, are well known examples; whUe the latter border on the Negro fribes. Dr. Prichard has remarked, that ' though inhabiting, from tune immemorial, regions in juxtaposition and almost, contiguous to each other, no two races of men can be more sfrongly contrasted than were the ancient Egyptian and the Syro- Arabian races : one nation fuU of energy, of restless activity, changing many times thefr manner of existence, —aometimes nomadic, feeding their fiocks in desert places, now settled and cultivating the Earth, and filling their land with populous vUlages, and towns, and fenced cities, — ^then spreading themselves, impeUed by the love of glory and zeal of proselytism, over distant countries ; the other reposing ever m luxurious ease and wealth, on the rich soU watered by thefr slimy river, never quitting it for a foreign cUme, or displaying, unless forced, the least change in thefr position or habits of Ufe.'* The differences thus indicated • Frichard's Kalural History of Man, 3rd edition, p. ISO. 396 PHYSICAL GEOGRAPHY. were carried out also in detaU, and nearly correspond to the conditions of the two countries in aU respects of Physical Geography, and thus it is, that the natural configuration of a district may and does exercise an important influence ontiie growth and development of the human race therein. It has been customary to consider the diff'erent races of men as proceeding originaUy from certain lofty mountain chains as thefr original habitat, and in this way the Caucasians and the Mongols have been so named, because the one race waa supposed to be derived from the lofty mountain chain of the Caucasus, between the Black Sea and the Caspian, and the other from the loftier chain of the Altai, peopled in its higher plains by the Mongols. So also the Negroes have been supposed to be derived from the southem face of the Atlas mountains. This view, however, is not supported by facts, at least so far as history oan adduce them. It ia more probable that the principal racea have flourished and obtained thefr pecuUarities in great river vallCTs, aa that of the Euphratea, the Indua, the Gangea, the NUe, the rivera of (Suna, and othera in the Old World, or in great fertUe plaina, or extensive fraota of country, abounding in herda of deer and cattle ; whUe othera have adapted themselves to cfrcumatancea in smaUer areas, and formed fishing tribes, hunting fribes, or mountaineers of various degrees of interest and importance. To trace the geographical range and limits of each race now recogniaed as aboriginal, would occupy too much space, and we must refer the reader for such information to the work of Dr. Prichard, afready quoted, and to that of Colonel HamUton Smith, recently pubhshed. On the Natural History qf the Human Species. It wUl be useful to Ulusteate the subject by a few examples, drawn from the distribution of races in Europe, and especiaUy in those counfries in whioh we, as EngUshmen, muat feel the greateat intereat.* It is now almoat universally admitted, that the European nations are a seriea of colonies of what is caUed the Ai\?sit^ race, but under what cfrcum stancea, and by what path they originaUy paased into Europe, can only be a matter of conjecture. It has been considered probable that the northem nations of Europe took thefr way through the regions which Ue to the north ward of the Caspian, reaching in thia manner the mouth of the Danube, and spreading then towards the north. The ItaUan, HeUenic, and Dlyrian races, on the other hand, probably arrived by a different route— namely, through Aaia Minor and across the Bosphorus. Of the different European nations, which may be regarded as derived from branches of one original stock, we must look upon those which were driven most to the weat as the oldest, and thus begin vrith the Celtic nations, including two branches, one represented by the Irish, Scotch, and Manx, and the other by the Welah and Bretona, and the early inhabitanta of Spain. Next in order comes the Germanic family, consisting of the Northmen, ancestors of the Icelanders, Norwegiana, " Swedea, and Danea ; and the Teutonic atock, in its three subdivisions of Saxon, German, and Gothic. Next are tribea inhabiting Lithuania; and then the Slavonic race, ofwhich there are two branchea, the Weatem or Proper Slavic, including the Polea, Bohemians, and tribea near the Baltic, and the Eaatern branch, compre hending the Eussians, Servians, and other aUied famUiea. South Europe aeema to have modified the migrating races in a different way, and presents the old Italians, the Tuscans, &e Thraoians, the Arnaouta and Albanians, and the ancient HeUenic race. • Wliile these sheets were passing through tbe press, a work has been published by Dr. Latham, ( The Natural History of the Varieties of Man, I vol. Svo,) which may safely be recom mended to the student as the soundest and oleai-est enunciation of the most advanced and scientific viewa of Ethnologists. t The name ' Aryas' is the ancient national designation both of the Pei-sian and Indian branch of the great Asiatic source of the races that now overspread Europe and Southern Asia, and the dei-ived races have thence been called ' Arian.' The name was adopted by the Medes, and has been handed down by the Greeks. ETHNOLOGY. 397 It atfll, however, remaina doubtful whether theae races, whose history can be to a certain extent fraced, and which present diatinctly their relations to each other, and to the original stock, were reaUy the earhest tenants of these counfries. The more probable hypotheais is, that there were stUl earlier tribes, and in the case of our own counfr-y there is not wanting distinct evidence in proof of ita having been the habitation of man very long before the earUest intro duction of that fribe of Celts who have often been regarded as the first settlers, Ifwelook to the eridence that exists concerning the actual distribution of these races, we shall find them greatly but not entfrely Umited by moun tains and rivera; each tribe seems to have had a nucleus in the newly discovered, or newly conquered tract, whUe from this nucleus they at first diverged to occupy a certain area, and finaUy migrated in part to carry the advance that had been made in civiUzation to a freah apot, where the higheat advance that had been made in the mother country served aa the starting point for the young hordes. Thus it is, that in mountainous countries we stUl find kingdoma and portions of highly civUized countries, presenting in their popu lation the most marked diff'erences, and even contrasts, whUe over other far larger but level tracts, a perfect uniformity and monotony of national cha racter prevaUs, often exceedingly unfavourable to the progress of civUization. It has already been stated, that the Caucasian tribes occupy aU Europe, with the exception of Finmark, Lapland, and part of Hungary . They also now occupy part of North Africa, Persia, the whole of India, the United States and British possessions of North America, a very large part of South America, and many portions of AuafraUa. A part of South Africa, and a multitude of islanda in the Pacific Ocean, have also been colonized by them in recent times, and thua the Westem Caucasian varieties are now spread over the globe, and have in many caaes almoat driven out the original races. When we regard the whole Earth, and consider what is known of the physical geography and cUmate in every country, there wUl often appear some distinct natural reason for the spread of particular races in the dfrections we may frace them. Thus, the Caucasians occupy, and have occupied for a very long period, the great fertile vaUeys and plaina of the temperate zone, and the more habitawe counfriea in the torrid zone, at least ao far aa the Old World is concemed ; whUe the Negroes have been chiefiy confined to the waste and unfertUe deserts and other lands of tropical and Southern Aftica ; and the Mongols to the table-lands, mountains, and vaUeys of Northem Asia, America, and AustraUa. The greatest popu lations are generaUy found on the banks and moutha of rivera, on the ahorea of gulfs and great inland seas, and thence the races have generaUy ex tended up the country, foUowing the course of the streams, and strictly limited by great and rapid rivers, which have thus proved effectual natural barriers. Men, indeed, in a natural state, are subjected to laws of disfri bution Uke other animals — they spread where means of subsistence and shelter offer themselves, they multiply in the most favourable spots, they atop where there ia no longer any inducement to go on ; but thia ia not the caae when racea become able by mechanical ingenuity to overcome natural difficultiea ; and thus the spread of civilized nations, 'and their limits of diatribution, offer no parallel^ and are bounded by no such checks as those which, up to a certain point in cultivation, have proved absolute. StUl, early impressiona have never yet been effaced. Penefrating through the aurface on the smaUest occasion of extraordinary excitement, we are able to perceive the marked national characteristics in almost every people, whether we look at races derived from a multitude of sources like our own, or those com pounded only of two or three — whether we regard the half-breeds between the Negro and Caucasian, or the Caucasian and MongoUc, or look at the nearly pure descents of the higher castes of the Hindoo. Government has no power of uniting races whose blood is different — language may conceal for a time, but cannot obliterate these permanent characters; and for at least thfrty centuries there have been as weU marked and important distinctions between 398 PHYSICAL GEOGRAPHY. the bearded and the beardless man, the red man and the white, and the tme Ethiopian and the Negro, aa there are at this day, vrhUe the essential points of distinction are as clear now as they were at that distant period. 172 Language. — Of aU characteristics presented by the diff'erent races of men, and depending on the higher or inteUectual part of his nature, none ia more useful in determining disputed points as to the origin of parti cular tribes than the careful atudy and comparison of the words and grammatical construction employed to express the wants and feelings of our nature. The study of language must, therefore, go hand in hand with that of physical pecuUarities and human history, and though, as we shaU see, not absolutely to be depended on or trusted, when it affords only negative results, or to be taken without hesitation even when resemblances can be traced, stUl it must always have great weight in the mind of any unprejudiced person. It is generaUy agreed, that the most extensive relations between languages, and those least likely to be effaced by time and foreign inter course, are the fundamental lawa of conatmction, both in words and sentences. Construction, indeed, or the rules which govem the relations of words in sentences, seems especiaUy enduring and constant, since simUarity in this respect prevaUs through whole classes of languages which now have few words in common, though they appear originaUy to have had more. But beyond this, there is a cognate character in words themaelvea, which aometimes pervadea the entire vocabulary of a whole family of languages, the words being formed in the same manner and according to the same artificial mle. Thia ia Ulua- frated in the monosyUabic structure of the Chinese and Indo-Chinese lan guages, while a remarkable instance of grammatical analogy is to be found in each of the two systems of the Indo-European languages, of which the Greek and EngUsh are respectively examples. It has, indeed, been doubted whether analogy of stmcture alone ia sufficient to prove community of origin of different languages, when unsup ported by simUar words, as it would seem that languages reaUy descended from the same stock must exhibit their origin in both ways. It is, however, certain that such words may be very few in number, as wiU be seen if we compare the Welsh and Kussian tongues, which are singularly unlike in this respect ; whUe, on the other hand, a large number of words being infroduced does not prove the languages to be of cognate origin. The eridence to be deduced from verbal analogies depends, however, much on the classes of worda in which auch analogy is to be traced, and the words that resemble each other in languages derivea from the same stock are very different from thoae borrowed after the two languages are formed. There is, for example, a Mnd of domestic vocabulary in the first case, which includes the simplest famUy relations, 'father,' 'mother,' &c., together -with the names of various parts of the body, of the most essential and manifest material and visible objecta, and of domeatic animala, besides some verbs expressive of universal bodUy acts, many personal pronouns, and the numerals, at least to a certain smallextent. On the other hand, there are worda belonging to a certain degree of civiUzation, and connected with the aimple arts (e. g. to plough, to weave, to sew, &c., and the names of weapons, tools, and dress), which are often common to nations whose domestic vocabularies are different, and different when the domestic vocabulary is nearly the same. It vrill also be evident that many words indicative of inteUectual improvement, moral cultivatioi, reUgion, and other matters, wUl be occasionaUy borrowed by a nation during its progress in civiUzation, and often from people who from any accident have influence, although they may belong to a different stock. Thus, the New Zealanders wiU acquire a multitude of EngUah worda, although no relation may be fr-aceable between the roots of thefr languages and the EneUsh, nor its earher and domestic vocabulary. The varioua languagea of the Earth have been grouped mto four:— 1. IJie Indo-Jiuropean languages. 3. The Tm-anian, or languagea of High ETHNOLOGY. 399 Asia, and other regions to be pointed out. 3. The Chinese and Indo-Chinese, a monosyUabic and uninflected language. 4. The Syro- Arabian, or Semitic. The Indo-European languages are the national idioms of all those races who at the time of Cyrus became, and have ever since continued to be, the dominant nations of the world, except where Mahommedan fanaticism has recovered for the Mongol and Negro races some sway over the weaker divisions ofthe Indo-European tribes. There are many groups of these languages, each group including a large number of dialects. The eastern group comprehends the ancient Persian idioms, the Sanskrit and the Pali of India. The western group, the Greek, the old lUyrian or Albanian, the old ItaUc language excluding the Etruscan, the old Prassian, the German, the Slavonian, and the Celtic : these are all very diatinct and of very ancient date. Now, it becomea very naturally a question, since no one conquering nation could introduce at once so many languages, whether the diff'erent nations were kindred fribes of some primitive stock, and derived the analogies of thefr speech from some common language which had graduaUy deviated from original identity by variations at m-at merely of dialect, but gradually increasing ; or whether the facts wiU admit of any other explanation. It seema clear, that there is no other, and, indeed, there ia internal evidence in the Indo-European languages themselves, sufficient to prove, that they did giyw by gradu^ dialectic development out of one common matrix. ' Any one who possesses competent knowledge of these languages, and considers the nature of thefr relations to each other, the fact that the original roots are for the most part common, and that in the great system of grammatical inflection pervading aU these languages there is nothing else than the varied development of common principles, must be convinced that the differences between them are but the result of the gradual deviation of one common language into a multitude of diverging dialects, and the ultimate conclusion forced upon us is, that the Indo-European nations are the descendants of one original people, and consequently, that the varieties of complexion, form, stature, and other physical quaUties which exist among them are the resulte of deriation from an originEd type."* The groups of languages referable to the second great famUy of European and Asiatic nations, differ in some fundamental points from that of the Indo- European race, and asaiat in this way to support tbe conclusion, which is indeed forced upon ua by other evidence, that these racea had overrun many parta of Europe, very far to the west, long before even the oldest of the races now existing were at aU introduced. The languages are remarkable as haring nouns nearly or whoUy without inflexion or variation of case, number, or sex, which can only be expressed by appending additional words, and exhibiting these auxUiaries, and any possessive and relative pronouns of other languages as suffixes, or syUables placed after the words which they modify. Of aU the tribes possessing these languages, two only, vrith the exception ofthe Finns and Lapps, have effected a lodgment in Europe in such a way as to _ perpetuate to the present time any physical evidence of thefr former existence. These are the Magyars and the Basques. There are also phe nomena in the Finnish, Lappish, and Celtic languages, which appear to render probable a former admixture vrith races which are now totaUy extinct. Another famUy of languages belonging to the great continent is the Chinese, which, with its vanous Indo-Chinese dialects, consists of mono syUabic roots, not becoming dissyUabic by conatmction. These languages are not only incapable of inflexion, but do not admit the use of particles as a supplement to this defect, the position of words and sentences being the » ' Eeport on Ethnology,' by Dr. Prichard, in the Reports of the British Association for tlie Admmeement of Science, for 1847, p. 243. It is right to state that the substance of this section on language is borrowed from Dr. Frichard's Eeport. 400 PHYSICAL GEOGRAPHY. principal means of determining thefr relation to each other, and the meaning intended to be conveyed. The Syro-Arabian languages are a very ancient and important group, wbich appear to have been apoken from the very earUest timea by the varioua nations inhabiting Aaia to the weatward of the Tigris. They also extended widely, and at a very eariy period, into Africa. The principal Aaiatic idioms are the Chaldaean, the Hebrew, and the Arabic. Besides theae are the Abyssinian dialects, the old Libyan dialects, and some others in Africa. It appears probable from the preaent state of our knowledge, that only two races of people and two languages exiat in the vaat regiona of Southern Africa. These are the Hottentots, in the most southem parts, and the great nation alUed to the Kaflrs of the eastern coast. They belong to one famUy, aU their languagea being dialects of one speech. Central Negroland presents a multitude of languages or dialects which alao have relations with each other sufficiently marked to induce us to regard them aa being of one common origin. The languages of the ialanders of Polynesia are considered to offer resemblances, vvhich cannot bo the effect of casual intercourse, but are essen tial affinities deeply rooted in the construction. In America, the northem exfremity is peopled by the Esquimaux, whose language is known, and extends from Asia. Southwards, to a considerable distance, two great famUiea of native languages are presented, one on flie eaatern, and the other on the western side ; whUe stUl further southwarda, and as far aa Mexico, the Cherokees and other Indian fribes form a group -with a distinct tongue. In. Mexico are two principal and many less important languages, whUe South America contains a vast variety of different tribes, whose languages have been grouped into three, many of them, however, being very littie known. It may here be obaerved, that although languages, as inteUectual creations of man, and closely entwined with hia whole mental development, bear the stamp of national character, and as such are of the highest importance in the recognition of the simUarity or diversity of race, they yet present many illusions to be guarded against, as weU as a rich prize to be attained. Positive ethnological studies, supported by profound historical knowledge, teach ns that a degree of caution is required in these investigations conceming nations and the languages spoken by them at particular epochs. Subjection to a foreign yoke, long association, the influence of a foreign reUgion, a mixture of races, even when comprising only a smaU number of the more powerful aud more civUized immigrating race, have produced in both continents simUarlyreeurring phenomena — namely, in one and the same race, two or more entfrely diff'erent famiUes of languages; and in nations differing widely in origin, idioms belonging to the same linguistic stock. Great Asiatic conquerors have been most powerfuUy instrumental in the production of sfriking phenomena of thia nature.* 173 Modification of the Baces of Men. — It is an important consideration that m many countries, where there has been no recent influx of diff'erent tribes, and where no cauae of change is perceptible but the slow and gradual advance of civUization, and the progress of inteUectiial and moral develop ment, there has yet been a very considerable modification of the physical charaoteristioa of the prevaUing races. It is desfrable to consider how far thia may have acted in past times with other portions ofthe great human famUy. Civilization may, and in some caaes does, produce two effects, as it not only occasionaUy modifies the existing race, but also drives before it and destroys lesa powerful, although indigenous tribes. Thus, if aa seems pro bable, from the comparison of language, and from the occurrence of bones ot men in places now covered up by deposits containing other human bones of great antiquity, there were originaUy MongoUc fribes over a great part or • Humboldt's Cosmos, Col. Sabine's translation, '1846,) vol. i p. 364. ETHNOLOGY, 401 the whole of Europe, including the British Islands, and if, as it is equally certain in Western Europe, and in the British Isles, there are no present indications of the race either in structure or appearance, we must conclude that the advancing and conquering nation haa deatroyed tho indigenous tribes, without permitting the blood of the two races to become mingled. Examples of physical change in a race during the progress of civUization are seen in Germany, where tiie accounts given of the physical characteristics of the inhabitants only a few centuries ago oblige us to beUeve that the prevailing colour of the hair was then yellow or red, and that of the eyes blue. Without any further admixture of blood from a dark-coloured race, this has now undergone much alteration, for the prevalent colour, not only in the large towns, where mixture of blood may have been the cause, but also throughout the coimtry, is certainly very different. With regard to this subject we may also refer to the authority of Dr. Prichard, who says, in his work on the Natural History of Man, dready quoted, ' I can assert from my own observa tion that the Germana are now in many parta of thefr country far from a bght-hafred race. I have seen a considerable number of persons assembled in a large room at Frankfort on the Maine, and observed, that except one or two EngUshmen, there was not an indiridual amongst them who had not dark hafr. The ChevaUer Bunsen has assured me that he has often looked in vain for the aubum or golden locks and the light cserulean eyes of the old Germans, and never verified the picture given by the ancients of his country men tiU he visited Seandinaria ; there he found himself surrounded by the Germans of Tacitus.'* It appears indeed beyond question, that not only the Teutonic race, but even the Celtic have imd.ergone much change in this respect, for there seem to be abundant fraditions asserting the prevalence of yellow, and even white hafr among the people of that race, anciently inhabiting Ireland, Scotland, and Wales. Now, it is certain that the present Highlandera are by no means a yeUow or red haired people generaUy, although some districts present this characteriatic. The prevalent characters in most part of the north of Scotland are dark brown lank hafr, with a fafr complexion and grey eyea. Since the mixtures that have been moat common in all the westem nations have consisted of Celtic and Teutonic blood in some form, we thus have no reason in this respect for the change of colour. It must be referred partly, perhaps, to a modification of climate effected by di'ainage and the removal of forests, partly to different food, and partly to the different condition in which men now Uve. The influence of a race of men migrating into a new country wUl neces sarily differ in some respects, according to the circumstances under which they appear and are received. Conquest and simple colonization may, for example, produce different results, but stUl it appears from the experience of past times, and even of very recent immigration, that the more civiUzed race will generally prevaU, and not only so, but will graduaUy desfroy the aborigines of the newly visited tract. The traces that are seen in various ways of the existence of a race of men in Europe befoie the present Indo- European race was introduced, are so slight, and have apparently produced sp little physical change, that they must be almost neglected in any con sideration of this kind, and thus the new race must be regarded as having quite driven out and destroyed the earUer one. When we find a few fribes Btm retaining thefr places and natural characteristics in some mountain fastnesses, as the Basques in the Pyrenees, we see more clearly the possi biUty of such extinction of races, and may recognise the cfrcumstances under which it is possible. Of aU cases of incursion presented in history, those of the HeUenic race into Italy from the south, and subsequently of the Teutonic race from the • Prichard, ante cit, p. 197. DD 402 PHYSICAL GEOGRAPHY. north, and that of the Scandinavian branch of the same great famUy to Northern France and Britain, are the most remarkable and the most dis tinctly traceable. Others had occurred in earlier times in Asia, conceming which we know comparatively Uttle that is definite, and a simUar great experiment is now being tried m America, and also in AustraUa, New Zealand, and some of the other islands of the Pacific. In China, however, incursions have been made, the reault of which ia different, as there the conquering tribes, insufficient in number and inferior in cultivation, have only succeeded by superior physical energy, and have obtained the government without changing the people. The lost races of antiquity naturaUy present many points of great interest, especially when from time to time thefr memory is recalled by the discovery of remains due to their labour or their ingenuity. Thus the Babyloniana and Assyrians, the ancient and aboriginal tribes of Greece and the Etruscans, and the much later inhabitants of Lycia, nations which had attained to some /degree of civUization, and amongst whom the arts of constmction and sculpture were reaUy and very succeaafuUy cultivated, have so far tended to modify succeeding and long subsequent generations of men, that we naturaUy inqufre into the cfrcumstances of^ thefr destmction. They appear before ua aa races of civUized men destroyed by barbarians; and although from theae barbaric conquerora greater, more highly cirilized, more inteUectual, and more important nations have often ariaen, atUl the first change was that of destruction effected by physical force against aU the advantages of inteUectual superiority. While, also, some of these nations — including several formerly inhabiting Asia Minor — were utterly desfroyed and thefr citiea buried in heaps of ruins, others, as the Jews, have surrived, though aa wanderers over the earth ; whUe the Egyptians have retained thefr name and thefr place, although all the advance once made by them in civiUzation haa relapsed into a monotonous and hopeless state of ignorance and slavery. The events of the last two centuriea have shown that the influence of civilized men determinately and permanently occupying a country may, as in North America, tend to the absolute extermination not only of tribes, but of many aboriginal races, and the day is perhaps not far distant when the so-caUed American Indians shaU cease to exist, every effort ha-ving faUed to induce them to adapt themselves to the cfrcumstances forced upon them, and no real advance ha-ring been made in the modification of the race by the admixtm-e of tribes or the infroduction of civUization. Total extermination is manifeatly a possible event vrith regard to a whole people, even where room is left for thefr existence, when they are encouraged to adapt themaelvea to new conditiona, and when no check is put upon them beyond that degree of encroachment which would demand only a change of habit to render it - ,* 174 Mixture of Baces. — In various parts of the world cfrcumstances have enforced a considerable mixture of tiie great natural families of men, and although there is some reason to believe that this mixture is not in itself natural, yet as it results in the production of such modified charac teristics as may in the end form real groups, it becomes right to consider here some remarkable instances of the kind where the misture of race has been complete, and where the two fribes combining are distinctly recognisable. The extreme cases of mixture that can occur are, of course, those of different members of the three typical classes — namely, the Caucasian with the Negro or Mongolio, and the Mongol with the Negro. The mixtures of typical Caucasian, Negro, and MongoUc tribes with Americans and Malays are • There is, however, an apparent exception in the case of the Cherokee nation, who are described as settling in villages, and giving up their wandering habits for the arts of civilization. The Indian tribes iu some parts of North America, and especially in Canada, seem also to have cultivated the land to somo extent, as within the historic period an Indian town stood sur rounded by corn fields on tlie sito now occupied by tho oity of Montreal. ETHNOLOGY. 403 mtereatmg in the next degree ; and many caaes of admixture of the early derived races, such as Celtic, Teutonic, and Sclavic ; Hindoo, Arabic, and Egyptian ; or mixed Em-opean with mixed Asiatic races of the same original stock, are scarcely less interesting or important in an ethnological view. Dr. Prichard has put it forward as his decided conviction, that races of men, of whatever kind, are equaUy proUfic, whether marriages be contracted between indiriduals of the same or of the most dissimUar varieties, and he adds, ' If there is any difference, it is probably in favour of the latter.'* America is a counfry where mixtures of the Indo-European race of various famUies (Spaniards, Portuguese, EngUsh, German, Dutch, and French, and even Jewish,) have been effected, under tolerably equal and favourable circumstances, -with the American Indians of various tribes, and vrith many fribes of. Negroes from the cenfre and west of Africa; and it has been calcu lated by M. Eugendas, (Voyage dans le Brezil, Paris, 1835,) that out of a population of upwards of thfrty mUlions in various parts where settlements have been made, the proportion of mixed races is as much as fifteen per cent., that of the various Negro tribes being eighteen, of native Indians twenty- aeven, and of whites of aU kinds forty per cent. Since the mixture of races appears in some cases to hkve produced a reaUy new and intermediate stock, it may be weU to mention the instances ofthis kind before proceeding to the subject of mixed racea where there is stUl a doubt as to the permanence of unity of character of the produce. Among the instances of new tribes formed by the mixture of two weU marked races, that of the Griquas, or Griqua Hottentots, ia mentioned by Dr. Prichard, as having been the result of the intermarriages of the early Dutch colonists of South Africa with the aboriginal Hottentots, whUe the so-called Cafusos form another race derived from the mixture of the native Americana of BrazU with the Negroes imported from Africa. The former tribes are a powerful and marauding race, Uving on the borders of the colonial territory on the banks of the Gareep or Orange Hiver, along a distance of aeven hundred mUes. Some of them are thriving agriculturists, and others are coUected into a large community settled under Morarian missionaries. The Cafusos exhibit very remarkable phyaical pecuUarities. They are deacribed by Spix and Martina (Beise durch Brazilien) aa being alender and muacnlar — of a dark copper and copper-brown colour — ^baring an oval coun tenance, vrith high cheek bones, but not so broad as the Indians ; broad and flattened nose, neither tumed up nor much bent ; broad mouth, with thick but equal Ups, which, as weU as the lower jaw, project but Uttle ; black eyes, intermediate in position between that of the Indians and the Negroes, and excessively long hafr, half curled at the end, and rising almost perpendicularly from the forehead to the height of a foot or a foot and a half. Another remarkable mixed race is seen in New Guinea along the northem coast, and in some adjacent islanda, obtained from the mixture of Negro with Malay blood. Theae ' Papuans,' as they have been called, have large bushy masaea of half-woolly hafr, measuring from two and a half to three feet in cfrcumference, and the people have for this reason been caUed ' mop-headed.' Thefr skin is deep brown, the hafr black, the nose broad, and the Ups thick, and the shape ofthe skuU approaches that of the Malays. The mixtures of white vrith negro blood in America offer many pecuUarities worthy of notice. The first issue of the European and African (called mulatto) is a medium in colour, figure, and even in moral quaUties ; the colour being yeUow, brown, or ta-wney, according to the complexion of the father, (mnlattoa derived from the marriage of a black man with a white woman are comparatively rare,) the hafr curied and black, the iris dark, and the race superior in cleanliness, capacity, activity, and courage, to the NeCTO. The Buccesaive addition of European blood is considered to restore aU European * Prichard, ante cit, p. 18. D d2 404 PHYSICAL GEOGRAPHY. qualities in the third generation, and the same number of generations is required to reduce the race to the original Negro. In the aecond atage, the terceron — the produce of Europeana and mnlattoa — ^the hafr and features are European, and the former has no wooUy curl, but the skin has a sUght brofvn tint, although the cheeks are red. The next generation, the chUdren of the European and the terceron (called the quadroon) are undistinguishable from whites. An interesting variety ia obtained by the mixture of European with native Indian blood in South America. The offspring in this case ia caUed mestizo, and haa the hair black and straight, the colour almost pure white, and the skin peculiarly transparent, the iris dark, the beard smaU, the extremities also smaU, and the eyes placed somewhat obUquely. Among the various races of men, it is weU worthy of notice, that the mixtures that most readUy take place seem rather at the wUl of the lower than the higher race — the Negro woman willingly cohabiting with the white man at his pleasure, although the white woman rarely intermarries with the Negro man. It is also the case that the beardless or the wooUy haired tribes acqufre a Caucasian expreaaion of beauty from a first intermixture, whUe very often both stature and form excel that of either type ; and in another case, in the second generation, the eyes of the Mongols become horizontal, and the face oval. The crania alao of the Negro stock immediately expand in thefr hybrid offspring, and the impression on subsequent generations is more durable than when the order is reversed.* 175 Influence of Man on other Animals. — There are perhaps many instances to be found in nature, where, owing to some local peculiarity of climate or vegetation, one race of animals multipUes to the injury or exter mination of another, or is modified to adapt itself to altered circumstances It is only man, however, who is able to avaU himself at wUl of the serrices of his feUow-creaturea, and can induce them to change thefr place of habitation, their habits, and their natural tendencies, when snch change conduces to his comfort or luxury. We must here consider a few of the casea where thia modification is most decided, to understand fuUy the position of man in the scale of creation. In establishing himself in a new coimtry, the colonist wfll naturaUy endeavour to avail himself of the existing and indigenous animala, to infroduce others most useful and necessary for his purposes, and to desfroy those species from which he can expect no advantage, and which may injure the producta he desirea. In addition to thia, and whilst infroducing new animala and vegetables, he introduces also unwittingly others which depend on them for sustenance, and thus also tend to modify existing races. The tribes of animals most useful to man, and which have been most generaUy domesticated, are, the dog and cat among carnivora ; the ox, sheep, and goat among ruminants ; the swine and horse among pachydermata; the rabbit amongst rodents. Each of these offers many facts showing the possibUity of change in external form, and even internal stmcture, to a very remarkable degree, when exposed to the infiuence of civiUzation. The dog as the companion of man in almost aU counfries has undergone changes so considerable, that it is now equally difficult to decide whether there was reaUy but one original stock, or whether the numerous races are only fertUe hybrids. Of all the dogs, that of AusfraUa lives in the wUdest and most natural state, and approaches in the sfructure of the skull most nearly to the wolf, exhibiting Uttle sagacity, and being scarcely obedient to man. The Danish dog and mastiff come next in this reapect, and are suc ceeded by the terrier and the hound, in whose skuUs a lai'ger cavity is left for the brain. The shepherd's dog has a very considerable capacity of cranium, and in the spaniel and water dog this capacity is stUl greater. These and the * Hamilton Smith, ante cit., p. 131. ETHNOLOGY. 405 other varieties differ much in their stature and size, and in the shape of their ears and taUs, which latter have from sixteen to twenty-one vertebra;, varying in particular breeds. Some tribes have an additional toe or claw to the hind foot, and some have additional or false molars. The hafr also varies greatly in different breeds, being in some almost absent, and in others extremely developed, either as long sUky or wooUy hafr ; and, in short, the dog presents aU the varieties of hafry covering of the body met with in the entire class of mammalia. Now aU these changes and modiflcations of the natural and original condition of the dog are due to his aaaociation with and employment by man. He aeoompaniea his maater to aU counfries, hunts with and defends him in every climate and under aU circumstances, never recurring to the wUd state, or evincing any desire to recover his Uberty. It is difficult to know which to admfre most, the phancy and adaptabUity of the servant, or the pertinacity with which the whole race clings to the inteUectual and moral superiority of the master. The ox and the sheep offer difficulties scarcely less considerable, and present varieties almost as marked as the dog. Whatever we regard as the source of domestic cattle, and whether they are of one or more original wUd varieties, it ia certain that they have undergone by domestication such changes in form, dimensions, structure, hafr, horns, taU, and other important charac teristics, that they are no longer to be traced back without the greatest difficulty. The breed of cattle infroduced by the early settlers in South America has, however, succeeded in covering that part of the western continent, and is fast destroying many indigenous races. The sheep, also — one of the most anciently domesticated animals — is one in which very great varieties are displayed ; and here it is probable that several species nave become mixed, and that many of the breeds are fertUe hybrids. Some when fransported to foreign counfries retain their pecuUaritiea more distinctly than others, but aU seem to undergo great change after a few generations, approxi mating to the local pecuUarities of form and structure. In this animal, new breeds have been produced occasionaUy, by taking advantage of individual peculiarities and deformities, and no doubt the numerous varieties presented are aU greatly influenced by human agency. The horae is found wUd in some parts of Asia and Africa, but it ia very doubtful whether in either case we see the original species, and not a cultivated race escaped from civiUzation ; and varieties of size, shape, and colour are so marked, that aU reaemblance is lost by which we can decide the question of original identity. The swine, if not ao greatly varied, exhibits proof of change equaUy aatiafactory, some breeds having soUd hoofs, others very long ears couched upon the back, others a large pendant beUy, and very short legs, whUe another, found at Cape Verd and other places, has large tusks, crooked Uke the horns of oxen. On the whole, it undoubtedly appears that ' domestication effects a much greater change on the manner of^ exiatence than any removal from one country to another that can be imagined to take place during the continuance of the wUd state. Its reaulta are, in fact, more extenaive on the nature of animala, for domestication is not a casual and temporary change efiected in an indiridual, but the modification of a race, by which it becomes fitted to exist under new cfrcumstances.' The phenomena of variation thus offered, may be grouped under three heads, involving — ffrst, differences of organic structure ; secondly, physiolo gical, and, thfrdly, psychological differences. The diffierences of organic atmcture depend at firat either on an accidental variety propagated intentionaUy, and tranamiaaible becauae of the tendency that exiata throughout aU nature to reproduce in the offspring the peculiarities of his immediate ancestor, or else of some modification directly produced by change of climate, better and more regular food, and more uniform shelter. External characters of many kinds connected with the skin, hafr, &o., are 406 PHYSICAL GEOGRAPHY. easily modified in this way, and even the shape of the head and pelvis, the proportions of the extremities, length of neck, and other points of stmcture, admit of great variety. Physiological varieties or diversities in the intemal constitution are so frequently met with in individuals, that we can easUy conceive diff'erences to exist m races long detached from the parent stock, and subjected to the infiuence of man. Kie average duration of life, the number of the young produced at a birth, the period of gestation, the changes of constitution during Ufe, these are points which may be regarded as spedfic ; but even these yield, though to a smaUer extent, to the effects of civilization and domestication. This is Ulusfrated by the fact, that the cows of South America and those of Europe differ in the time of giving mUk. The habits and instincts of animals present, in the case of every species, a distinct psychological character, which has been less studied in its general natural-mstory vjilue than aa a subject of amusement and curiosity. Theae habits and inatincta are, however, capable of modification in an exfraordinary degree by association vrith man, and it is weU worthy of notice, that instinct, to whatever degree it is cultivated in a race, is immediately and ahnost per fectly fransmitted to the offspring, which accordingly wUl hardly requfre teaching to perform the same tasks. That this is the case in dogs, especially sporting dogs, haa been long known; but it is also the same with other animala, as we are told ' the hereditary propensities of the offspring of the Norwegian poneya, whether fuU or haJi-bred, are very singular. Thefr ancestors have been in the habit of obeying the voice of thefr nders, and not the bridle, and horse-breakers complain that it is impossible to produce this last habit in young colts ; they are, notwithstanding, exceedingly docUe and obedient when they understand the commands of thefr maater. It is equaUy difficult to keep them vrithin hedges, owing perhaps to the unresfrained liberty the race may have been accustomed to in Norway.'* On the whole, then, it is clear that man has by domestication, and especially as he haa himaelf advanced in civilization, very much changed and modified many fribea of animals, removing them into distant coimtries, inducing them to accustom themselves to different climates, and fraining them to habits and inatincts altogether new and pecuUar ; thus encouraging remarkable modiflcations in form, colour, integument, internal stmcture, and other points of animal economy, and, at length, permanently fixing numerous varieties, often more vridely separated than the original type from nearly alUed but very distinct species. 176 Influence of Man on Inorganic Nature, and on the Vegetable Kingdom. — Wherever man plants himself, and advances beyond the mere animal condition, by the exercise of his inteUectual faculties — wherever, in a word, there is found any trace of civilized man, there we shaU also find that external nature has undergone some change. Thus, when immigration takes place to a country covered thickly with vfrgin forests, which have continued in the same atate for hundreda or even thousands of years, the forests are soon cut down, and are replaced by fields of waving corn. So where Nature has left wide stagnant pools, extensive barren tracts, or plains covered vrith plants useless to man, all these things are readUy changed by his active exertions, and soon, in consequence of these alterations in condition, the climate also becomes modified ; this again, as we have afready seen in the case of Germany and elsewhere, reacting upon the physical characteristics of the inhabitanta of the district. In a former chapter, when speaking of the natural limits of disfribution of certain vegetable and animal species, and the representative forma met with under simuar conditions of climate in distant counfries, some reference was made to the power of man in this respect, and his habit of infroducing by Mr. Knight, quoted in Prichai-d, ante cit, p. 72. ETHNOLOGY. 407 ai-t many plants and animals into cUmates altogether new to them. This, we have also had occasion to conaider, as far as animals are concerned, in the present chapter, and now it is only necessary to recal a few striking facts, which wiU illustoate the same general law in the case of plants and cUmate. It is impossible even to imagine the original food of the human race, but we certainly know that the Banana and the Plantain muat have been in use from a very early period, since neither of them, from the oldest times of which we have record, appeared in the state of nature, but only as essentially altered by cultivation. Very early, too, must men have made the large- seeded Grasses fributaries to his storehouse, for we know not the time when any of the plants now used as Bread-corn were transplanted from thefr native soU and rendered more useful to man. ' A striking phenomenon, which indicates the enormous antiquity of the culture ofthe Cerealia is that, in spite of many most profound investigations, we have not yet succeeded in discovering the proper native counfry of the most important kinds of Com. Not one of the industeiously inquiring fraveUers in America has ever met there vrith Maize otherwise than culti vated, or as evidently an outcast from culture. With regard to our European kinds of Com, we have only very inaccurate indications that they have been found wUd, here and there, in the south-western counti'ies of Cenfral Asia. But history proves that those regiona formerly supported so large a popu lation, and that there existed so high a condition of culture, that the assumption can acarcely be justified that those Corn-plants now found there are anything but descendants from plants wbich have escaped from cultivation.* From our knowledge of the great eastem portion of Asia, we are aware that in China a dense population can, by a certain degree of industrial culture, succeed in extirpating every wUd plant, and in clothing tho land exclusively with vegetables intentionaUy raised. Except some few water-plants in the purposely flooded rice-fields, the botanist finds scarcely any plant in the Chinese plains which is not an object of cultivation. Thus, it may not be at aU impossible that the Cerealia — ^perhaps originaUy (as is the case now witb so many AusfraUan plants) confined to a narrow region of disfribution, which was taken possession of at an early period by a strongly developing population — ^have actuaUy whoUy disappeared from our Earth in the character of original wUd plants.'f Other most important and beneficial changes have been produced by human agency inthe case of various fruit frees (e.^. Apple, Pear, and Cherry), andin the common table vegetables of temperate climates. Who, for example, could recognise the Caulifiower, Savoy, and other Cabbages in the dry, nauseous, and bitter-flavoured Colewort — the undoubted stock of these vegetables; or who, comparing the cultivated vrith the wUd Carrot, could believe that the one was derived from the other. In aU these cases, by actual cultivation, man is able to modify particular planta, and render even those which are apparently injurious usefiU articles of universal and grateful food. But much more than this is done — for the work is done on a far larger acale — by thoae processes of clearing and preparing »for human habitation to which we have already aUuded. Nor are these processes always successful in permanently improving the district subjected to their influence ; for we find in ancient human records, or in those handed down by Nature herself, sufficient proof that parts of Egypt, Syria, Persia, &o., now burnt up by the sun, arid from want of water, and aUowing only a very sparing population, were once clothed with vegetation, weU watered by considerable steeams, and capable of feeding as many thousands as there are now hundreds. In confrast we may take the case of the Ehine and the country on its * Wheat grown from seed obtained from Egyptian mummy cases of great antiquity has, within the last few years, been cultivated in England. It appears to have some peculiar and distinctive characters. t Schleiden's Plant, translated by I-Ienfi-ey for the Eay Society, p. 297. 408 PHYSICAL GEOGRAPHY. banks, where is now raised ono of the finest of European wines, but where in tho time of Tacitus not even the cherry, much less the grape, would ripen. The disappearance of the forests commenced and originated the mighty change. So also, iu other cases,the cultivation of clover, requiring a moist atmosphere, has passed from Greece to Italy, thence to Germany, and is now fiying still further towards the Westem Ocean. In Egypt, Pythagoras forbad his scholars to live upon beans; but no beans grow there now to feed them. The wine of Mareotis, celebrated by Horace, and capable of inspiring the guests of Cleopatra, grows there now no longer. The pastures at the foot of the richly watered Ida — Argos, once celebrated for its breed of horses — ^the Xanthus, with its hurrying waves— these are aU histories of the past ; they are reminiscences of what man has done, but they are now no longer possible. We may conclude this view of the result of human cultivation in the words of Schleiden adapted from those of Ehaa Fries.* ' A broad band of waste land foUows graduaUy in the steps of cultivation. If it expands, its cenfre and cradle dies, and on the outer borders only do we find green shoots But it is not impossible, only difficult, forman, without renouncing the advantage of culture itself, one day to make reparation for the injury which he haa infiicted ; he is appointed Lord of Creation. Trae it is that thorns and thistles, Ul-favoured and poisonous plants, weU named by botanists rubbish plants, mark the frack which man has proudly fraversed through the Earth. Before him lay original nature in her wUd but subUme beauty ; behind him he leaves the desert, a deformed and ruined land ; for chUdish desfre of destmction, or thoughtless squandering of vegetable treasures, have desfroyed the character of nature, and man himself flies terrifled from the arena of his actions, leaving the impoverished Earth to bar barous races or to animals, so long as yet another spot in vfrgin beauty smUes before him. Thus did cultivation, driven out, leave the East, and perhaps the deserts, formerly robbed of thefr coverings ; thus, Uke the wUd hordes of old over beautiful Greece, this conquest is now roUing with fearfiU rapidity through America, the eastem countries becoming barren through the demoh tion of the forests only to inteoduce a simUar revolution into the far west.' 177 Effect of Inorganic Nature on Man. — We have seen that whatever effect is produced by human agency on the animal and vegetable world, reacts on the human race in ita tum, and thus at length modifies its physical charac teristics. But the civilization ofany great natural fanuly of men is an event which depends on something more than accident, and which is doubtless very much influenced by the circumstances of external nature, so that it becomes necessary to consider how far we can fafrly refer many differences that we see to such external influence as climate, fertiUty, and geographical position. With regard to aU these points, it seems certain that man, although perfectly capable of settling and becoming the permanent inhabitant of ahnost any part of the Earth, yet has not the higher quaUties and powers of his nature developed except in temperate latitudes ; where his time is neither entirely and necessarUy dirided between the search for coarae animal food and thc repose and torpidity induced by exfreme cold, nor, on the other hand, entirely at his own disposal, in consequence of the abundance of fruits presented by a too bountiful Nature and always ready at hand when he desires food. The former ia tho case with the Esquimaux and other tribes of Northern Asia and America, and the latter occurs in those warm islands and shores (of which there arc many) where the labour of a day will aupply a week's food, not only for an individual but for the famUy dependent on him, q.ud whore the lassitude arising from heat encom'ages almoat total idleneaa. Tho north tcmperale zone has from the commencement of civUization been the cradle of aU those races which have had force and energy to conquer, talents to govei-u, and ingenuity to advance iu (he mechanical and fine arts. * Sclllddeu's Vlnnl. ante rit., p, 306. ETHNOLOGY. 409 Difficulties havo always tended rather to excite the powers than to check the efforts of man ; and, therefore, in the end, those who have had most to do in thefr contest with Nature have not only done the most, but have taken abso lutely the highest place, and produced the greatest effect upon their feUow- men. At aU times, the Chinese have exhibited a certain amount of civiUza tion, and in ancient times the Egyptians, the Babylonians, the Assyrians, and the Chaldees, and the Hindoos in the eastern division of the great Indo- European world — ^more recently the Greeks, and after them the Romans — and in modern times, the inhabitants of countries stUl further west have taken the lead, and have carried the arts and sciences to graduaUy increasing perfection ; but it is important to remember that this has been done in pro portion as the climate of these countries has undergone change, and that the improved civilization of the western races has been accompanied, if not assiated, by a gradual equalization and amelioration of the temperature, the -frinter becoming leas severe, and the summer longer and more avaUable, even if the absolute amount of heat distributed in the year has undergone no considerable alteration. Thua each of the three great natural famiUes of man inhabiting the temperate zone, have always presented some people of principal civilization, but those tribes dwelling in tropical countries have not advanced far, and many of them have never emerged from the darkness of absolute bar- bariam. And whUe we find the advancmg nations of the weatern hemiaphere alwaya exhibiting thefr higheat quaUties where a necessity for exertion was evi dent without a satisfactory result being hopeless, the nations of America before the discovery of that continent by the Europeans had also attained a certain though smaU amount of civUization, presenting in some respects a paraUel to the Assyrians and Egyptians, but not tending, it would seem, to any further or more uaeful advance, and thus to be compared with the Chinese rather than the Indo-European race. Although an important relation certainly exists between the state and condition of nations and the cfrcumstances of thefr physical geography, the opinion of M. Victor Cousin can by no means be entertained — namely, that ii^any coimtry be examined in reference to the latter, it wUl be possiljle to teU. a priori what is che condition of men in that countey, and what part its inhabitants wiU act in history. The exceptions to this rule are important, for they occur in those caaea where a mixture of blood or the immigration of a diff'erent atock has changed the tendencies ofthe inhabitants. The objects first to be obtained in a new settlement are food, needful raiment, and sufficient shelter from the inclemency of the weather. If these are either too eaay or too difficult of attainment, the development of the race, so far as the exercise of the higher powers of human nature are concemed, is checked and pre vented; but if these requfre moderate exertion and caU for ingenuity, and if, moreover, the race is one of those in which inteUectual advance is the rule, and not the exception, then may we expect that the very struggUng to over come difficulties wUl give fresh power and energy, and induce the exercise of the varioua useful arts and sciences. 178 Statistics of tlie Human Bace. — There are some numerical and tabular facts regarding the human race in its various natural diviaions, that seem worthy of notice in this place, as bearing upon the general subject before us. Thus, the estimated popiuation of the globe, the way in which it is beUeved that population is distributed, the rate of increase, the limits of increase, the rektive phyaical development of varioua racea, the duration of Ufe, and other ainnlar mattera, possess much intereat, and assist us in obtaining accurate notions with regard to the human race. According to Balbi, the actual present population of the globe is about 737 miUions, disfributed aa foUows : — Europe, with its adjacent islands 227,700,000 Asia, ditto 390,000,000 Africa, ditto 60,000,000 America, (North and South,) ditto 39,000,000 Australasia, and other islands of the Pacific ... 20,300,000 410 PHYSICAL GEOGRAPHY. The number of square mUes of land on the Earth is estimated aa about 5I5 miUions, and, therefore, we have, on an average, about fourteen and a thfrd persons to a square mUe. To give an idea of the amount of increase conceivable, we may state that in China it has been eatimated that more than a hundred peraons, on an average, are planted on each square mUe of that vast empire, although very large tracts are hopeleaaly barren ; whUe, as the ' population of England and Wales at the last cenaua waa about fifteen miUiona, and the countriea together contain about 50,000 square mUes, there are aeen to be with ua not less than 300 on an average to each aquare mUe. Of the whole population, however, one-thfrd reside in large towna (of 10,000 and upwarda). The rate of increase of mankind it is not easy to calculate, except in veiy Umited districts. In the thickly peopled districte of England, the increase in ten years, ending 1841, amounted in towns to 20-2 per cent. ; in the mral districta to 11-2 per cent. ; and in the whole population together to 14-4 per cent. The annual increase may, perhaps, be fafrly estimated as being now about one and one-third per cent. Of the whole population of the world, it is thought that about one thirty- third part (three per cent.) die every year, and that the atock ia during the same interval increased by somewhat more than a thirtieth (three and a thfrd per cent). This would give about 23f millions born, and 21^ mUhons dying in each year. Although, however, the average mortaUty ia reckoned ao high, the mean average of life in the human race ia much more than thfrty years, and in spite of the large number of children and young persons who meet with an early grave, (one-fourth of the infants bom dying before they are a year old, whUe half the whole number do not attain the age of twenty-two years,) the mean duration of life muat be considered to amount to from thirty- eight to forty-two years, according to cfrcumstances. The number of male children born in civilized countries exceeds that of females by about one-twentieth part, but in consequence of greater exposure to accidents, the destruction of life by war, and unhealthy employmente, the mortaUty of males is greater, and finally the women are more numerous than men. In Great Britain, at the last cenaua, there was an excess of female population to the extent of 24fl,181, (being in the proportion of thirty-nine to thfrty-eight nearly,) although there was during that period an annual excess of male births in the proportion of twenty to nineteen. The average number of chUdren to a marriage in Europe varies in different countries, from three and a half to nearly five and three-quarters, being least in Northem Europe and greatest in Savoy. It may be considered that the ordinary proportion in England is four births to each marriage. Perhaps one cause of the proportion being comparatively small in England is, that from prudential and other motives, msirriages frequentiy do not take place tiU somewhat later in Ufe than in many other countries in Europe; but another and more important one arises from the fact that so large a proportion of the inhabitants dwell in large towns. The general proportion between births and deaths taken one year vrith another, and for a large extent ofthe civilized world, may be considered to vary between 100 and 150 births for every 100 deaths. It is probable that a larger proportion than the latter can hardly exist under the most favourable cfrcum stances, whUe the former can only take place where there are some causes of unusual and even fearful mortaUty. The true proportion between bfrths and deatiis for a number of years cannot at present be determined with certainty, owing to a want of accuracy in the registrations. In England, however, it is probably as 150 to 100. With reference to the original peopling of the Earth itself, or of new countries, it has been calculated that under very favourable circumstances the human race may bo tripled in about twenty-fom' years. It has, also, been supposed that the posterity of one malo and female might in three hundred years, if not interfered with, amount to a population ofabout 4,000,000 of souls. ETHNOLOGY. 411 The ordinary mortaUty of a country with reference to its whole popula tion varies, of course, according to the climate and mode of Ufe of the people. In England (including Wales), it is estimated to amount to about one forty- sixth, that proportion of the whole population dying annuaUy. In France, it is estimated at one-fortieth, and in Bussia the same ; while in some selected spots, as, for example, in North Wales and part of Surrey, it reaches to only one fifty-fifth. In England, at the last census, the ages of nearly 16,000,000 of individuals were returned, thus giving very interesting facts vrith reference to the duration of human Ufe. We quote this table as given in MaccuUoch's Statistics ofthe British Empire, (vol. i. p. 424) : — Population calculated for July 1, 1841. Deaths registered in 1841. Annual mortality : per cent. j Ages. 1 1 Persons. Males. Females. Persons. Males. Females Mean. Males. Females 1 |i-^r 0-1 429,419 210,507 213,912 74,210 41,444 32,766 17-365 19-726 14^984 6 1-2 429,803 215,493 214,310 27,268 13,987 13,281 6-353 6^603 6^204 1 16 2—3 437,276 218,208 219,068 15,027 7,516 7,611 3-441 3-461 3432 29 3-4 410,077 203,653 206,424 9,914 5,028 4,886 2-422 2^474 2^370 ' 41 4—5 401,.555 201,238 200,317 7,164 3,620 3,544 1-786 1^802 1771 , 60 0-5 2,108,130 1,049,099 1,059,031 133,583 71,595 61,988 6-349 6833 5^860 16 5—10 1,906.576 953,893 952,683 17,868 9,093 8,775 ¦938 -955 •922 107 10—15 1,733,652 881,129 852,523 9,116 4,478 4,638 •527 •509 •545 190 15—20 1,588,340 782,425 805,915 12,056 6,604 6,452 •759 •718 •801 132 80—26 1,551,703 724,013 827,690 13,922 6,633 7,289 •900 -918 •882 111 25—30 1,284,020 611,390 672,630 12,889 6,045 6,844 1-OOb -991 1-019 100 30-35 1,167,954 565,226 602,728 11,414 6,422 6,992 •978 -961 ¦995 102 35—40 885,306 435,430 449,876 11,195 5,385 5,810 1-266 1-239 1-293 79 40—45 888,806 435,991 452,815 10,510 5,251 5,259 I •185 1-207 1163 84 45—50 639,202 313,709 325,493 10,244 5,322 4,922 i-m 1-700 1514 62 50—55 634,910 307,435 327,469 10,811 5,673 5,138 1-710 1-849 f571 68 55-60 392,166 189,816 202,350 10,552 6,418 6,134 2^700 2-860 2^640 37 60-65 440,110 209,246 230,862 13,813 7,090 6,723 3-155 3-395 2^915 32 65—70 259,839 120,829 139,010 14,071 6,881 7,190 6-442 5^706 5^178 18 70-75 224,431 104,138 120,293 15,569 7,630 7,939 »974 7341 6^607 14 75-80 120,015 55,653 64,362 14,525 6,992 7,533 12^152 12^586 11^717 8 80-85 70,494 31,136 39,358 11,681 5,358 6,323 16662 17-242 16^083 6 85-90 24,008 10,149 13,859 6,550 2,841 3,709 27^418 28-047 26-790 4 90-95 6,541 2,493 4,048 2,243 898 1,345 34-677 36-091 33-264 a 95-100 1,421 497 924 604 220 384 42-972 44-352 41692 2 too and ¦» upwards / 249 82 167 UO 29 81 4^829 35^221 48^438 2 AUages 15,927,867 7,783,781 8,144,086 343,847 174,193 169,649 2^160 2238 2'083 46 412 PHYSICAL GEOGRAPHY. In this table the whole population of England is included, and the laat column ahowa the mean mortality at any given age. Thus, between the ages of fifteen and twenty, one person out of every one hundred and thfrty-two dies per annum. The annual mortality column, read -without regarding the decimal points, expresses also the number who die each year of any age out of every hundred thousand. The mean age of the male population of England, taken from this table, would be twenty-five and a half years, the young predominating, owing to the increase in the population, and the higher average of deaths in the earher periods. If the community were stationary, the mean age ofthe people would be (cceteris paribus) thfrty-two years, and the mean age of death a Uttle more than forty -one years. We have given these latter statistical detaUs chiefly from our own country, because the information is, we believe, at leaat as fuU and accurate, and the general result as satisfactory, as is the case vrith any others that have been published. In many respects, too, they contain positive data not else where to be obtained, but it is right to add that the Belgian statistics are also most carefuUy and minutely tabidated. General Conclusion. We have now reached the cloae of our work on this great subject of Phyaical Geography, and it might, perhapa, be thought adrisable to revert to the main facts placed before the reader, or consider the general harmony of the subject and the mutual bearing of every part on the whole. But, in fact, it would be diificult to coUect into a few pages the resulte of the numerous facts afready presented in a condensed form, and it is better to give a simple outUne of the advantage that ought to be derived by the student than endeavour merely to impress upon bim the extent or the diflSculty of the task. If we look back to the middle ages and notice the rarity of general information and the difficulty of obtaining it, we may perceive some excuae for the practical as weU as inteUectual ignorance of the multitude of that day. They could and did observe isolated facta, of what ever kind, even as we do now, and the phenomena of nature did not, we may be sure, then pass unnoticed by the shrewd and thinking men who were in a nosition to obaerve them. But there were no meana readUy at hand of "preading and comparing information, and thua, before the invention of printing, facta were almoat uaeleaa, because they were isolated, and could not conveniently be worked into that form in which they become materials for generalization. The discovery of printing gave a facUity for this, and then ' the sparks of information, from time to time struck out, instead of glimmering for a moment and dying away in obUvion, began to accumulate into a genial glow, and the fiame waa at length kindled which was speedUy to acqufre the sfrength and rapid spread of a confiagration.' But although this outbreak of science, and its sudden and vast expansion, and steady, unremitting progress up to the preaent time have indeed been marveUous, it is manifest that there ia stUl much room for further increase when the people of each countey shaU be sufficiently weU informed on every subject to oring their powers of observation into useful bearing, and occupy thefr leisure with distinct investigations of Nature and hor works. It is the accumulation of knowledge by tiie people indiriduaUy, that must be looked to as the source of great fnture discoveries, and such knowledge as that presented in the present volume is chiefiy valuable as it gives useful, correct, and practical information to those who vrish to learn and are willing to be useful. To quote again from the beautiful essay by Sir John Herschel, (afready referred to above,) ' It is obvious that aU the information that can possitly be procured and reported by the most enlightened and active traveUers must laU infinitely short of what is to be obtained by individuals actuaUy resident upon tho spot. GENERAL CONCLUSION. 413 TraveUers, indeed, may make coUections, may snatch a few hasty observa tions, may note, for instance, the disfribution of geological formations in a few detacned points, and now and then iritness remarkable local phenomena ; but the resident alone can make continued series of regular observations, such as the scientific determination of clunates, tides, magnetic variations, and innumerable other objects of that kind required ; can alone mark all the detaUs of geological sfructure, and refer each stratum, by a careful and long- continued observation of ite fossU contenta, to its tone epoch ; can alone note the habita of the animals of his country and the Umits of its vegetation, or obtain a satisfactory knowledge of its mineral contents, with a thousand other particulars essential to that complete acquaintance with our globe, as a whole, which is begiiming to be understood by the extensive designation of Physical Geography; besides, whioh ought not to be omitted, multiplied opportumties of observing and recording.those exfraordinary phenomena of Nature wluch oflFer an intense interest from the rarity of thefr occurrence, aa weU as the inatmction they are calculated to aflford. To what, then, may we not look forward, when a spfrit of scientific inquiry shall have apread through thoae vaat regions in which the process of civiUzation, its sure precursor, is actuaUy commenced and in active progress P And what may we not expect from the exertions of powerful minds caUed into action under circumstances totaUy different from any which have yet existed in the world, and over an extent of territory far surpassing that which has hitherto produced the whole harvest of human inteUect P In proportion as the nmnber of those who are engaged on each department of physical inqufry increases, and the geographical extent over which they are spread is enlarged, a proportionately increased facUity of communication and interchange of knowledge becomes essential to the prosecution of thefr researches with full advantage. Not only is this desfrable to prevent a number of individuals from making the same discoveries at the same moment, which (besides the waste of valuable time) haa always been a fertUe source of jealousies and miannderstandings, by which great evUs have been entaUed on science, but because methods of observation are continuaUy undergoing new improve ments, or acquiring new facUities, a knowledge of which it is for the general interest of science should be diflused as vridely and as rapidly as possible. By this meana, too, a sense of common interest, of mutual assistance, and a feehng of sympathy in a common pursuit, are generated, which proves a powerful stimulus to exertion ; and, on the other hand, means are thereby afiiDrded of detecting and pointing out mistakes before it is too late for thefr rectification.'* It has been the object of the author to prepare a teeatise which shaU be uaeful in the way thus aUuded to, and since ' one of the means by which an advanced state of physical science contributes greatly to accelerate and secure its further progress is the exact knowledge of physical data,' and that these data can only be known and made use of to advantage by the help of general knowledge of natural as weU as mathematical science, he trusts that his portion of the present work is adapted to advance nscience in the right dfrection. Herschel's Preliminary Viscov/rsc, p. SiP. THEORY OF DESCRIPTION AND ' GEOGRAPHICAL TERMINOLOGY. CHAPTER I. § 1. Nature and divisions of the subject. — 2. Of positive position. — 3. Of relative position. — 4. Of land and water in extent. — 5. Of land in elevation. — 6. Of water not in motion. — 7. Of water in motion. — 8. Of the natural productions of the surface of the earth. l^ATUBE and Divisions of the Subject. — Descriptive Geography has for ^V its object to give the Imowledge of the superficial character of the Earth's surface, and its productions, whether vegetable or animal. It is, however, impossible to confine it sti:ictly to these things, inasmuch as no description of either its vegetable or animal productions would be satis factory if it were not accompanied by the knowledge of the things on which they depend, as soU, climate, &c., which belong to the department of Physical Geography, and more especiaUy of man, for whom the preaent state of the globe was designed, and those works of his by whidi it is covered. But this involves some historical considerations; for it must be evident that in the same place may be found the results both of man's present and past labours. The fisherman's hut stands on the ruins of Tyre, the black tent of the Arab on those of Nineveh, vegetables fransplanted formerly may appear indigenous now, and therefore the description of any country must vary much, according to the time with reference to which it is given. Descriptive Geography is, nowever, more immediately concemed vrith the greater and more abiding features of the surface of the Earth; the dirision of the Earth into kingdoms and states, vrith ite resulte, belongs rather to PoUtical Geography; the dianges efl'ected by man's residence in particular places, to Topography; but the latter involves itself with the former ao intimately that it ca,nnot be aeparated from it, for the knowledge of places (tottos, a place) includes both thefr natural character, and the efiect of man's residence in them; the first coming under the head of Descriptive Geo graphy, and the second under Pohtical; but as Topography descends to minor detaUs and meaaurements, which have no dfrect or at least apparent efi'eet on the world at large with which Geography proper concerns itself, and as the Umits of the present work preclude minute details altogether, the description of the surface of the Earth may more profitably be considered in it under two leading divisions : — 1. The Earth's aurface and natural productions. 2. The Earth's surface as afi'ected by the residence of man upon it. The first, it wUl be observed, is but an extension of what haa been already freated of in Physical Geography ; the mode in which it is to be freated must, however, be difi'erent. Science, it is true, is one and indirisible, but it is presented to our minds under difi'erent phases and in various connexions, and the unity is preserved, if the principles on whioh it depends are not violated, even if it be riewed from another aspect. To describe any given part of the Earth's surface, three preliminary con siderationa are required: — I. Poaition. 2. Extent, or horizontal contour. 3. Form, or vertical contour. Poaition is both positive and relative. The first is determined by Mathe- GEOGRAPHICAL TERMINOLOGY. 415 matical Geography ; the second is the result of extent and form, as has already been shown in Physical Geography. Extent is dependent on form; but inasmuch as we are accustomed to obtain our knowledge of the Earth's surface from ai'tificial globes, maps, and charts, and that which is first appai'ent on them after the position, is the extent of the countries depicted, it is better in description to preserve the order in which they are given above. 2 Of Positive Position. — If the globe of the Earth were a perfect sphere, aud did not revolve in one uniform dfrection, arbitrary means could alone be resorted to, to determine the position of places ; but being an oblate spheriod, having its shortest diameter for its axis of revolution, two points and one cfrcle are at once determinable on its surface. The points caUed the Poles, at the north and south exfremities of that axis, are so named with respect to their relative position to a certain point in the heavens, to which the mariner's compass, by the magnetic power imparted to it, ia dfrected. (See M. G., p. 6; and P. G., p. 196.) In strict accuracy, a circle drawn round the Earth equidistant from those points, has its circumference greater than any other wmch can be deacribed on the globe. (See Chartography, p. 179.) Thia circle, thus distinguished both in cnaracter and position, is called the Equator ; by it the globe is dirided into two equal parts or hemispheres, and another element for the right estimation of the position of any place obtained. In practice, however, tho difi'erence between this cfrcle ana any other dravra through two equidistant points on the globe, (haring a longer diameter between them,) is inappreciahle. As every circle is divided into 360 degrees, cfrcles drawn through the poles, diriding the equator into that number of parte, or, if the scale admit, subdividing these again into minutes or other equal parts, wUl form limits by which the position of places may be ascertained; but aa in a lateral dfrection — i. e. in the line ofthe equator — there are no fixed pointa like the polea, an arbitrary distinction between these cfrcles has been necessitated, and this every nation haa natm-aUy made for iteelf, each reckoning these circlea from aome point apparentlymoat desirable fi'om local or political connexion. (See Chartography, p. 181.) We, in England, reckon from Greenwich, because the National Observatory is there ; and these cfrcles, caUed Meridians of Longitude, numbered from thence, enable ua to ascertain the distance of any place from the meridian of that place in degrees ; but aa circles drawn through the same point approach each otber, aa they approach that point, so although the aame number of degrees are estimated between each meridian, the length of a degree becomes leas and lesa in proportion to ita neameas to the polea. It becomes, therefore, neces sary to limit the number of these cfrclea, or the upper part of globes and maps would soon become confused by them ; smaU divisions of lateral space must, on this account, be ascertained on a globe by the use of the brazen meridian and horizon, or by a graduated scale, or on a map by measurement. Degrees are thus estimated by inspection, but they may be reduced to mUes by the rules afready laid down (see M. G., p. 72), or by reference to a table (aee Appendix A), it being remembered that a degree at the equator is sixty geographical mUes in length. The meridians of longitude, or circles drawn througt the poles, are of the same cfrcumference* — viz., 360 degrees, of sixty mUea to a degree, they are commonly caUed great circles ; but, as those circles only can be great circles whioh are drawn through two points equidistant from each other, circles drawn, dividing them into equal parts, and consequently paraUel to the equator, must be of less cfrcumference, and gradually decrease as they recede from it : auch cfrcles are called ParaUels of Latitude — parallel, becauae parallel to the equator, and of latitude now with iuatice, becauae they are on each side of it. The name, however, was adopted by the ancients when it waa supposed that the extent of the Earth from eaat to weat (ita therefore so caUed longitude,) On the comparative magnitudes of small and great circles. (See M. (?., p. 24.) 416 THEORY OP DESCRIPTION AND was greater than that from north to south, therefore caUed ita latitude. The latitude and longitude of any place — i. e. its position on the surface of the Earth — ^is aacertained by obaerriiif what meridian and paraUel cut each other, or what minuter diviaions' intersect, where it is situatea. The position of the Earth with respect to the Sun, its annual and diumal rotations, afi'ord additional means of estimating position. The apparentpath of the Sun on the surface of the Earth is indicated by a great cfrcle cuttmg the equator diagonally, called the EcUptic (see M. G., p. 14) ; the two points equi distant from each other where the two cfrcles intersect are caUed theEquinoctial points (see M. G., p. 56), and these for certain periods afi'ord points from whioh to measure distance in its relation to time and the seasons. The exfreme distances north and south of the equator to which the ecliptic reaches, mark the extreme pointa at which the Sun is ever vertical; these are termed Solstitial : and the zone or belt thus formed round the Earth Umited by circles corresponding to the 231° of latitude, and oaUed respectively the Tropic of Cancer and the Tropic of Capricorn, from the signs ofthe Zodiac farthest, from the equinoctial pointa, is caUed the Torrid Zone, and any place lying within it is said to be within the tropics. Beyond this, as far north and south as the 66|° of latitude, the Temperate Zone extends, and from thence to the Poles, 235°, the Arctic and Antarctic respectively. In Physical Geography, as has been noted, other zones, having reference to temperature, cUmate, natural productions, &c., are recogniaed, and aU these may be appUed to the estimation of the position, but rather relative than the positive, of places on the surface of the Earth. 3 Of Belative Position. — As aU estimation of position in longitude must be to a certain extent arbitrary, east and west are only relative terms, and although position, north or aouth, is capable of more exact definition, yet when applied to the position of places with respect to each other, they like wise become relative. A place near the Soutii Pole may be north of another still nearer that point — may be north of one and south of anotherplace, or east, or west, or vice versd. This is relative position on the globe. Pfaving determined the position of the great continental masses, we may, in describing any place conaider — 1. What poaition it occupies in them, and in which of ite great natural divisions it is to be found ; 2. To what physical dirision or diafrict it belongs ; 3. How it ia aflfected by poUtical divisions ; 4. Ite poaition vrith respect to commerce. Each of these may be again re-considered in a general or particular relation, in a topographical or resfricted, or a geographical or more enlarged sense ; and although our object is to avoid topographical detaUa as much as possible, the description even of counfries, whether considered in thefr phyaical or poUtical relationa, would be very incomplete were not both attended to. Eelative poaition may not only be considered in extent, but in elevation ; the point of departure for calculation is, by common consent, assumed at the sea level ; and it may be estimated not only in actual height in mUes, yarda, or feet, but in regions of temperature also, as already noticed, the temperature decreasing with the elevation. (See P. G., p. 325.) As, however, this varies, not only with the elevation, but in proportion as it recedes north or south from the influence of the Sun's rays, position thus estimated is more especially relative. Vertical position may be reckoned not only above but below the level of the sea ; some, but comparatively few, places on the Earth's surface being thus distinguished. From the considerations afready entered into in the part on Physical Geography, it is apparent that the horizontal contom' of the land dependa on the sea by whioh it ia bounded, while that again is the result simply of depreaaions in the land ; and thua the form or vertical contour of the Earth's surface is the origin of all ita superficial diviaions ; it is alao that which is most apparent to the eye of man; but, on the other hand, the elevationa and depressions on the Earth'a aurface are, when compared with ita extent, entirely insignificant. GEOGRAPHICAL TERMINOLOGY. 417 4 Of Land and Water- in Extent. — The principal dirisions ofthe land are caUed Continents, those of the water, Oceans. Ofthe former, it was customary to reckon four, Europe, Asia, Africa, and America ; to these some added a fifth, Ausfraha. Having regard, however, to the meaning of the word, and gnided by the practice of modern geographers, the definition already given (see P. G., p. 216) has been adopted — Continent, that which is connected 'together and continuous. There are therefore only two continents, the Old and the New — the former containing Europe, Asia, and Africa ; the latter, America, North and South; to these the terms east and west have been respectively applied. They are, of course, only relative. The oceans divide the continents from each other. Ocean is a word adopted from the Greek, and, from tbe use of its cognates in languages of simUar origin, seems to embrace ideas of extent and depth, as weU as of production or generation. Bochart and others suppose it derived from a Syriac word which signifies to ' encompass.' This is probably conse quent on the uae of the word among the Greeks, who suppoaed the ocean to eneompasa the land, as its connexion with production appeara to be the result of the mythological teansmission of the history of the general deluge. In its largest extent it is now taken to mean the whole body of water on the surface of the globe, the surface drainage of those portions entfrely surrounded by land alone excepted. It haa been usually divided into five parts, all retaining the general appellation — the Atlantic, the Pacific, the Indian, the Arctic, and the Antarctic; until lately their respective limits were very indefinite, but in 1845 the B.oyal Geographical Society of London appointed a committee to consider the subject, and their report is thus given in Johnson's Glossary qf Geographical Tei-ms ;* ' That the limita of the Arctic and Antarctic Oceans, respectively, be the Arctic and Antarctic Cfrcles ; that the limits of the Atlantic on the north and south be the Arctic and Antarctic Cfrcles, that its western limit be the coaat of America aa far aouth as Cape Hom, and thence prolonged on the meridian of that Cape untU it meets the Antarctic Circle ; that its eastern limit be the ahores of Europe, Africa as far south as the Cape of Good Hope, and thence prolonged on the meridian of Cape LaguUas, tUl that meridian cuta the Antarctic Circle ; that the Indian Ocean do extend from India and Persia on the north to the Antarctic Cfrcle on the south ; that ita western limit be the shores of Arabia and Africa, as far south as Cape LaguUas, and thence along the meridian of that Cape to its intersection with the Antarctic Cfrcle : that its eastern Umit be the west coast of the Birman Empire, and a part of the Malayan peninsula, the west coasts of Sumatra, Java, Timor, and AusfraUa, as far as the southernmost point of Van Diemen's land, and thence continued along the meridian of that point to its intersection with the Antarctic Circle ; that the Pacific do extend from the Arctic Circle on the north to the Antarctic Cfrcle on the south ; that its western limit be the east coast of Asia and of the Island of Sumatra, the northern shores of Java, Hom, and Timor, and the coasts of Australia, from MelviUe Island, round to the southem point of Van Diemen's Land, and along its meridian to the Antarctic Circle ; and that its eaatern limit be the west coast of America and the meridian of Cape Hom as far as the Antarctic Cfrcle. It was further agreed, that the Atlantic and Pacific Oceans be subdivided into three portions — a northern, a southem, and an intertropical — and that the Indian Ocean have but two divisions, an intertropical and a southern.' It ia obvious that such questions aa these can only be decided arbifrarily, for it wUl be observed, that some of the limits given are natural and some artificial, and as without authority the universal consent of geographers can scarcely be expected, it is not only within the province of such societies as * We beg to acknowledge here, once for all, our obligations to this very useful and able le work. little work. BE 418 THEORY OF DESCEIPTION AND the Eoyal Geographical Society to express an opinion upon them, but the duty of every geographer to submit his individual opinion to thefr collective decision. If, however, the universal consent of aU students of this science is to be hoped for to anything upon ita own merits, it might weU be to this, for the Umits given are, aa waa to be expected, clear and well defined, and subject to no reasonable objection. (The Disfribution of Land and Water, thefr normal shape, &c., are freated of in P. G., chap, iv.) Besides these great and more general, the ocean is susceptible of smaUer dirisiona, dependent like them on the configuration of the land. The next in extent and importance are uauaUy aaid to be Seaa. The word Sea ia of very indefinite appUcation, being often convertible with Gulf or Bay. It ia uaed in contradistinction to land in a general sense, and in its special, appUed to diriaions of the ocean, but apparently vrithout rule. Some aeaa, aa the Mediterranean Sea, are very nearly surrounded by land — some more open, as the sea of Kamschatka. The etymology of the word (from the Saxon see secge) ia rather auggeative of the former, meaning a repoaitory, basin, cistern, — ^thia would, however, include the Gulf of St. Lawrence, Hudson's Bay and Baffin's Bay among the seas. Some lakes have been denominated seas, as the Caspian, and the Lake of Gennesareth, caUed sometimes the Sea of GaUlee. It is much to be desfred that some decision was arrived at in this matter by the Geographical Society. The word Gulf is, as has been seen, sometimes used convertibly with Sea; it appears to be properly the intermediate term between that and Bay ; it is derived from the Greek, Kok-rros, implying hoUowness, depth. Homer uses the word for a bay or creek, (II. b. ii. I. 560,) and it is explained by Eustathius and Sfrabo to mean a sea enclosed between two promontories ; it is generaUy esteemed to differ from a Bay in being deeper than it is broad at its enfranee ; the latter word being derived from a Saxon root, signifying to bend, (or possibly from byge, an angle) — any deep bend of the sea should in propriety be caUed a Bay, and in contradistinction to a Gulf, it shouldt be wider at ite entrance than in depth ; but this definition wUl not hold good in practice, for then Baffin's Bay could not be so denominated. In the absence, however, of any exact definition of theao three terms, the foUowing may be proposed — a Sea, any deep recess of the ocean which may be entered by more than one principal channel ; a Gulf, any similar recess, having only one ; a Bay, an indentation of the ocean, lying open to it. In case, however, of the adoption of this, or indeed any exact definition, the present namea must be changed. The Mediterranean and Eed Seas would cease to be so termed, and Hudson's Bay and Baffin's Bay would become Gulfs or Seas. The term Bight is synonymous with Bay. The passages by which a gulf, or such seas as the Mediterranean and Eed Sea, communicate witb the ocean are called Sfraits — as the Sfrait of Gibraltar. The tefm strait, occaaionaUy but erroneously used in the plural, is syno nymous vrith channel, it is appUed to passages between islands, as well as between the ocean and a gulf, or Mediterranean Sea ; and the words Arm and Sound are sometimes used for the same purpose ; but the word Channel is equaUy appUcable to rivers, and arm more properly to deep indentations having no second outlet. Strait ia the same as straight, and is derived from words which imply elongation (stretching, sfraining). It is customary to -write straight when the meaning is dfrect, strait when narrowness is imphed, apparently without reason. A strait is a narrow passage, and the word has been appUed to a defile or pasa, between mountaina. The word Sound has a similar derivation originally, but the Saxon Sund was used for a narrow sea or swimming. A Sound, is therefore to be diatinguished from a Strait, in not of neceaaity having a double communication with the ocean, and possibly aa being of comparatively little depth — being in soundings, which is usuaUy held to mean a depth of water of not much more than eighty fathoms. (For depths of Ocean, seo P. G., chap, v.) In the east of Scotiand such indentations or GEOGRAPHICAL TERMINOLOGY. 419 channels are called Ffrths or Friths, which, if esteemed cognate with the laiJnfretum, indicate the roughness of the water caused by passing such narrow channels; on the west coast of Scotland and in Ireland, Lochs, i. e. Lakes — the primary sense of this word is to shut in or enclose ; and in Norway, Fiords. A small sfrait is also caUed a Gut. This word is also applied to the narrowest part of a strait. The smaUer divisions of the ocean, as they are more immediately related to the coaat hne, in its minute indentations, so they are best described in connexion vrith the land. Continental land has been afready referred to as diriding the continuous surface of the globe into two great parts. All the minor appeUations given to divisions of land in extent, excepting those which are properly diminutives, have no relation to size, and are therefore used equsdly for larger or smaUer portions of the aame character. In deecribmg land in extent it is desfrable, flrst, to secure an accurate perception of ite general shape, whether it approaches a square, a teiangle, or any other mathematical figure, whether it be simple or compound, without paying attention to the minute indentations of the coast. This may be c^ed ite normal shape.* The lines by which this figure is bounded may be measured either from one exfreme point to another, or a mean may be taken, the latter plan has been adopted for the descriptive partof this work; thefr contents should next be ascertained; thia may be done by reducing degrees and minutes of longi tude and latitude into nules, and proceeding by the rules given, M. G., ch. iv. §§ 2 — 6, vrith reference to the scale and projection of the map, by which tiie calculation is made — (see Chartography, p. 178, et seq.) — or by simple measurement on an artificial globe. Having thus obtained a general idea of the shape and size of the land tp be described, it muat be conaidered in detaU, firat marking the larger and then the lesa important indentations or extensions of the coast-line. The principal extenaiona of land into the water, for they are appUcable to aU aituations — are caUed Promontories: the derivation ofthis word from the Latin Promon torium (^0, before, mo?w, a mountain), indicates first its origin — viz., from the elevation of the land above the sea level — (this must always be remembered when the shape of land is conaidered); and aecondly, that it ia more properly uaed to denote high land. The word Promontory has no reference to aize. The great southem triangular projections of the continental lands afready referred to (see P. G., p. 216) are thus named; smaUer ones, of course, are veiy numerous. There are, however, diminutives used in the description of projections of very smaU size, — a Point is the low extremity of a Promon tory, — a Cape (from caput, head) is a projection of the coast, or termination of a promontory, neither of great elevation nor yet altogether deficient in it. It may be properly used as a generic term for any projecting land, having no relation to elevation, or as intermediate between Point and Headland, the latter always indicating considerable altitude ; a Point of smaU magni tude is termed a Spit or Tongue; a smaU Headland, a Bluff— this word is speciaUy localized on the Ohio and Mississippi rivers in America. Foreland is aynonymous vrith Headland, and the word Ness (i.*e. nose, a projection) affixed to a descriptive appellation has the same meaning. This word is localized on the east coast as BUl, having the same meaning as on the south coast of England. Spits are sometimes foimd below Capes and Headlands. The word Tongue is usuaUy the diminutive of Point, and applied to a small extension of low land. Land projecting into the water, of whatever shape, attached on one side to a larger maaa, whether continental or insular, is caUed a Peninsula, (from the Latin, pene, almost — insula, an ialand; in Greek, x^Peograpliy must assume a more topographical form, and wiU be presented in the first place and by itself, that it may form a satisfactory baaia for further inqufry. In it, however, aa of universal significance, the division and dispersion of mankind, and their effects upon the world, cannot be fully treated of, although they may be noticed. A general sketch of theae great infiuencea must therefore precede the consideration of the poUtical state of the world in modern times, as that must be preluded by a general descrip tion of the features and character of its surface ; and the same method must be followed in detaU with reference to every separate counfry ; whenever it is desirable or possible to extend it so far ; the poUtical inquiry wUl then foUow easily and naturaUy. 3 Of the Distribution of the Human Bace. — To the various famiUes of the human race, their physical and mental characteristics, and the natural laws to which they are aubject, general reference haa been made in the chapter on Ethnology (see P. G., p. 388). This has of late years taken its place as a separate science, and it is not therefore now the province of Geography to enter into the philosophy ofthe aubject, with respect to man as an animal, but to state what ia known of the present localization of his species, and the geographical causes which have led to it. The former has been described generaUy, and must be more particularly detailed with respect to every counfry as it comes under review. The latter vriU be found chiefly in the configuration of land in elevation and extent, directing migration into certain natural channels, of which the primary watersheds afford general indications ; those of the Old World, sepa rating the north from the south, and concentrating the energies of varioua racea round the great Mediterranean basin, thua uniting them all in one common progreaa ; whUe thoae of the New World, far removed from its eastem limit, rendering the entire continent acoessjible by the mighty streams coUected from their lengthened slopes, have given facUities for the diffusion of the races of the Old World, developed in physical and mental energies by con centration and coUision, over its surface. The use of the various paths of migration has, however, depended on the power of man to avail himself of them. The great plains offered facUities of migration to the pastoral inhabitanta of the ancient world, to w hom the seas were impassable. The coasts ofthe inland waters were therefore peopled long before communication existed between tbem. The vaUeys of the head waters of rivers were always, and are now, the only practicable paths acrosa the primary watersheds ; by them, therefore, the stream of migration has been permitted to pasa, and by them communication ia maintained. The valleys of the great rivers have, therefore, received inhabitants from their upper as well aa their lower entrances. The proximity of a primary watershed to the coast may, aa in the caae of Africa and America, entirely cut off one portion of a continent from communication with the other for many yeara, and therefore cauae conaiderable difference in the character of thefr population ; this is more over also affected by the varying physical characteristics of the countries themselves, which are again consequent on thefr vertical contour ; and thus it also happens that the commercial exchanges and consequent intercourse of countries is often rather with distant people than with thefr neighbours. Since the development of navigation, comraerce has been principaUy GEOGRAPHICAL TERMINOLOGY. 433 carried on by means of the sea ; the old paths of inter-communication have been therefore abandoned ; modern science has discovered means of cheap and rapid transport over the land, and we may thus fafrly expect to see them re-opened. Their disuse caused the decrease of population and civUization in the districts through which they passed, their restoration wUl cause their le-peoplement and enrichment ; and thns Syria, the valley of the Euphrates, Asw Minor, Persia, the Balkan, may before long be again important to the world, ^a Egypt has afready become, and as we see Central America, Upper Californhk and Texas are becoming. As tiie general disfribution ofthe human race over the surface ofthe earth has been consequent on its larger physical features, so has the local arrangement been lyit&the presence of agricultural or mineral wealth. Agricultural districts, not requiring a large population, or the possession of the knowledge of mecha nical power in any great degree for thefr cultivation, have been early peopled. Itis to the presence of mineral wealth, and the development of manufactures and commerce, that the congregation of numbers in smaU disfricts is owing ; hencewe find the greatest accumulation of men in masses at the mouth of rivera, in harbours, and where natural paths of communication intersect, dfrected by the necessities of commercial intercourse, or in mineral disteicts. In ancient times, the presence of gold, copper, and tin exercised great infiuence on the difliision of population, and the extension of commerce. To the former is attri butable the firat efforte to unite Greece with the eastem shores ofthe Baltic in commercial intercourse, of Solomon to carry Phoenician trafficacross the Isthmus of Suez ; the commencement of the era in which we live was marked by the discovery of the gold-producing counteies of the New World, to which a constant sfream of emigration has been since directed, and in our own day California, and possibly AustraUa, may owe thefr population to the same cause. Tin and copper have carried the ships of Carthage to England, and the ships of England to the Indian seas, AusfraUa, and America. But since the use of machinery and the appUcation of steam as power, coal and fron have exercised the greatest influence in this respect. Nor is the providence of God in directing the distribution of the human race limited by the supply of the wants cf man,tiie prorision for the cure ofhis diseases has its peculiar influence upon it. Even in savage coimtries among the natives, as among the beasts of the field, periodical visits to mineral springs have always been observable, and in civUized countries men have always congregated and cities been buUt around them or in thefr immediate vicinity, whUe, too, in smaller degree, even salubrity of atmosphere and beauty of scenery have influenced this localization. Tlus distribution, as has been already noticed, being irregular both in space and time, it vriU be found to affect PoUtical Geography in aU its dirisions. The dril hmits, divisions, and polity of countries ; the industrial habits of their people; and thefr relations with others, whether distant or neighbouring, and aperiaUy their reUgious faith and its outward expression, wiU be found to vary accordmgly. 4 Qf Geographical Statistics. — In aU the dirisions of Political Geo graphy, and the inquiries consequent upon their consideration, the province of Statistics must of neceasity be trespassed upon. Geography relating to, or rather combining together, aU sciences in thefr relations to the Earth and to man; as in the case of Geology, Meteorology, Ethnology, or any other, so in Statistics, whUe the application and results of the science wiU be taken advan tage of, they vrill be dealt with generaUy and not in detaU. In none perhaps are the details so uncertain, in none, perhaps, the general results more satisfactory, more conclusive, or more useful. Materials for statistical calculations exist only in cirilized countries, and may, in fact, be considered as no smaU proof of advanced civilization : thefr character will vary with that of the people to whom tiiey relate, and be especially influenced by thefr habits and mode of life. They may be more easily attainable in some countries in the reUgious, in others in the civU or industrial divisions. In most countries, even the very savage, mUitary statistics can be procured : their existence by themselves is FF 434 THEORY OP DESCRIPTION AND perhaps to be considered the flrst advance in civil polity ; soUtary tribes on the shores of the Polar Sea, of New Caledonia, Afnca, AusteaUa, and Terra del Fuego, alone existing vrithout it. Industrial statistics, whether agricul tural, commercial, or manufacturing, occupy the second place ; social, medical, and educational, the thfrd and most advanced ; but the latter of these are closely aUied to reUgion, and reUgious statistics are evidently independent of advanced civilization. Educational statistics -wUl be found to depend rather on the character of the reUgion of any country, than either ite influence or the extent to which that influence is systematized, from which the statistical accounts of it must in the main result; possibly the most systematic and thoroughly organized form of reUgion the world has perhaps ever known, the Eoman catholic, may be found to have retarded civilization m exact proportion to its domination over its members, the exact and regular working of ite machinery, and the consequent amount of statistical knowledge attamable respecting it. Statistical inquiry, as relating to PoUtical Geography, comprises aU calcu lations of number ; under the head CivU, the amount of population in the various divisions ; the proportionate number of representatives, if any ; of militia, miUtary, or naval force ; of taxes, and other pubUc burdens and con tributions, may be considered : under that of Industrial, the proportion of population to surface ; the numbers employed in various trades and occupa tions ; the products of agriculture, mines, manufactures, and commerce : under that of EeUgious, the numbers and proportion of the various secte into which the people may be divided. The Statistics of Education and Science wUl belong to either or all, according to the country under consideration; in Prussia, for example, neither the indusfrial nor reUgious can be considered apart from the civil. In all, however, care should be taken not to extend the inqufry beyond its geographical relation. 5 Cf the Order to be observed. — Of the three divisions which have been recognised, we have placed the EeUgious first, as being in a great measure independent of the other two ; it may be convenient to maintain this order in general description, and to vary it in particular, to take first a general survey of the extent and influence of the different faiths professed by the people of the Earth, and independently of thefr civU- relations, and then to describe more particularly the religious divisions consequent upon them ; for whUe, on the one hand, the principal reUgious systems of the world extend themselves vrithout reference to pohtical divisions ; on the other, the ecclesiastical poUty may be diatinct from, and independent of, the civU ; yet in separate countries, and under distinct govemments, it naturally adapte itself to the civU dirisions ; and in exceptional cases, when it does not, they wiU probably be found the best, if not the only means by which its Umits may be deflned. Particular religious belief often attaches itself to particular races, the civil divisions of countries are not unfrequently the consequences ofthe localization of distinct races, and in this way, again, the reUgious and ciril divisions may be found to coincide. In the consideration, therefore, of PoUtical Geography in detail, the fol lowing sequence of its divisions ahouldbe observed : civil, rehgious, industrial ; civU, from the Latin, civilis — i. e., appertaining to citizenship, that which belongs or relates to citizens, or its complement — ^the state. 6 Of the Civil Divisions ofthe World. — The larger ciril divisions of the Earth's surface are dependent on the arrangements made by the great human societies whioh inhabit them for thefr government, and receive various names, most of which are now used without being limited by strict etymological propriety. The first in rank and importance should be, and in some instances are, termed empfres. These are govemed by an emperor, in whom is_ con cenfrated the authority of the whole, (as the word ' imperator,' first appUed to the generals ofthe Eoman armies in tiie provinces who were the representatives in them of the power of the state, seems to imply.) This word was adopted by those who claimed similar authority to that exercised by the Eoman emperors GEOGRAPHICAL TERMINOLOGY. 435 whether in Italy, Eastern Europe, France, Germany, or Eussia. Its import is now very various ; it is used equaUy with reference to Eussia, Austria, BrazU, China, and the Island of Hayti, all ofwhich are governed by a ruler styling himself emperor. It is sometimes supposed to express the agglomeration of many separate kingdoms, states, or provinces, imder one supreme head ; but in this case Great Britain and her dependencies would be the largest and most important empfre at present in the world, if not that the world has ever seen. This appUcation of the term ia teue with reference to Eussia and Austria, and partiaUy of BrazU, or more correctly, the BrazUs. Great Britain is often termed an empfre, but its monarch has not assumed the title corresponding to that designation. Eingdoms, counteies ruled over by a king or queen, (Saxon, cyng cynig, German, konig, implying miUtary rule,) stand next in rank to empires ; yet some kingdoms, as those of Great Britain and France, being of equal, if not superior importance to any existing empfres, there is no steict propriety in the sequence. The term monarchy (from the Greek, fiovor apxos, monarch — i. e. sole ruler) ia appUed equaUy to empfres and kingdoms where the supreme power is concenfrated in an individual. Monarchies may be hereditary or elective, despotic or limited; the latter are frequently termed constitutional, because the constitution, to which both the monarch and his subjects have subscribed, defines the limite of his power and their obedience. In despotic monarchies, the vriU of the sovereign is law; in limited monarchies, the law is above aU wUl, and the power of the government is di-rided between the supreme ruler and the assembled representatives of the other power or powers by which that ofthe monarch is limited. ParUaments, chambers of peers, senators, deputies, diete, or other names, are appUed to these assembUes. They differ much in thefr constitution and powers; some are hereditary, as the House of Lords, in England; otiiers elective, as the House of Commons. Different qualifications are also requfred for thefr members. These varieties of constitution belong to the poUtical history of the world. PoUtical Geography, however, of necessity concerns iteelf vrith the great principles on which these varieties are based, as indicative of the origin of the families of mankind in which they are found; the physical character of the countey in which they have been educated; or of that in which they are located. A limited monarchy is, perhaps, to be considered as the agreement of the three great elemente of govemment — the executive, the deUberative, and the suggestive. The first is involved vrith the monarchical principle, the second with the aristocratic, the thfrd vrith the representative. The first expresses the vriU — tiie second, the mind — ^the third, the body of the people. When the first predominates, and in proportion to its predominance, the monarchy becomes more and more despotic ; the ruler a tyrant, in the original accep tation ofthe term, (from the Greek, rvpawos, implying the rule of an indivi dual according to his own wUl — i. e., without law;) when the second preponde rates, and in proportion to its preponderance, oligarchical, (from the Greek, oKiyos apxT), the rule of the few;) when the latter, democratical, (from the Greek, 8ijjiioy, the people, and Kpareos, to rule — i. e., the .rule of the many.) In different counteies and among different races, we find tendencies to different exfremes, as wiU be hereafter noticed. It wiU appear in the sequel that these principles develop themselves co-extenaivefy vrith corresponding reUgious and mdugtrial conditions of society, and may be considered partly as consequences of them, partly as resnltmg from the physical organization of the races adopting them, and partly from the physical character of the country they inhabit, as inducing the corresponding conditions referred to. Simple despotism appears fraceable to the congregating of men in masses : when in cities, as the consequence of democratic ascendancy ; among nomad races, of warlike and migratory tendencies requiring a leader. The former is observable in the Gfre^c cities and colonies ; the latter, among the Mongul races. The monarchical principle, on the other hand, appears rather F F 2 436 THEORY OP DESCRIPTION AND the extension ofthe patriarchal, the king originally having simUar jurisdiction to that of a father of a famUy; it is generaUy found in connexion with tribal and aristocratic inatitutiona, and haa its further development in the constitu tional monarchies of Europe, especiaUy in England. Among the ancients, it is to be found among the earliest inhabitants of Greece, the Persians, the Etruscans, probably the Egyptians. It is at present confined almost entirely to the races which have been styled Indo-Germanic or Arian (aee P. G., p. 396), of which the Anglo-Saxon is the type. With tribal distinctions, classification of trades and employments, social divisions, as of caste in India, local govern ment, guilds, and municipal institutions, are traceabie, as weU as a tendency to connect these divisional authorities, whether ciril, religious, military, or commercial, with property and tenure of land. The fammes in which they are found have, therefore, agricultural tendencies, and have taken the lead at a comparatively late period in the history of civUization, thefr development being slow, their tenacity proportionately great. Democracy naturally develops itself among commercial and manufacturing communities; its first necessity is numbers confined to a Umited space: the apparently exceptional case presented by the United States oi America is so only in name, the government of that country being of a mixed character. The word republic, (from the Latin, res publica, commonwealth,) in ite ordinary acceptation, impUes a govemment dependent on the wiU of the people ; it is, therefore, properly a democratical form of constitution. Yet Eome, under the empfre, was a despotism with republican forms; it had been previously an oligarchy under similar conditions. The word state (from the Latin, status, condition,) may be applied to any country haring supreme authority within itself; it is generally used with reference to smaller political bodies, especially those united together for mutual advantage; such are those of Central Europe attached to the German empire, such the United States in North America. The word colony may be appUed either to a detached province of an empire, kingdom, or state ; a city founded in a foreign country, but preserring its connexion by tradition at least with its parent; or a body of men emi grating from one countey to establish themselves m another. Great Britain has Iier colonies in the firat sense in North America, AusteaUa, and New Zealand; in the second, at Aden; in the third, in her emigration and colonizing companies, the first bodies of emigrants sent out by tbem being often so called. The second was the application more common among the Greeks and Eomans; the third has been very general in aU ages. In this sense tbe Flemings founded colonies in England, the EngUsh and Scotch in Ireland, the Germans in Hungary and Spain. The word capital should be applied to those cities in which the govern ment of the country is carried on. 7 Of the Civil Divisions of Countries. — GeographicaUy considered, we find under thia head — 1st. The limits or boundaries of the country under consideration; tbe character of the frontier line thus presented, whether natural or artificial; the relation to and points of connexion with the counteies by which it is surrounded. These should be considered under this division simply with reference to their general government, and they may have either a miUtary or commercial relation. Artificial frontiers have hitherto requfred barriers against armed aggression or contraband trade, far more numerous and expen sive than natural frontiers. We cannot violate the arrangemente made by the Great Creator of the universe without suflering by our foUy, and the evU effects of this error are perhaps more apparent and more felt in the character of the people bordering on such a frontier, than in the expense incurred in maintaining it. Not the least important portion of the frontier of any country is its sea board, if it have one. The possession of this gives freedom of action and comparative freedom from aggression on that quarter; opens direct commu- GEOGRAPHICAL TERMINOLOGY. 437 nication witii countries far distant; and enlarges the sphere of political action It IS the happmess of this countey to possess no other, and to it she owes probably much of her poUtical as weU as her commercial importance. As on an inland frontier the Unes of fortresses and other artificial defences should be syatematicaUy described, so, on a maritime, the ports and harbours .available for the outfit and shelter of fieets, the dockyards and arsenals situated upon them, with thefr relative capacity and importance, as well as the natural or artificial defences ofthe coast, should be carefuUy noted. The points of connexion between neighbouring countries must depend on the natural or artificial means of communication which exist. Eivers, canals, raihoads, or great miUtary roads, such as are found in Germany, wUl there fore come under this head ; unless, as in England, most frequently, they have been constructed entfrely for the purposes of commercial intercourse. 2nd. The general divisions of the empire or state : if the former, the states of which it is composed first, and then as in the latter when considered separately ; the larger and more important diviaion affecting its polity, vrnetiier judicial, miUtary, or financial, as in different nations. These greater dirisions obtain different names, and as these names are not always applied with strict reference to thefr meaning or etymology, and indeed are often hiatorical — ^i. e., the legaciea of former ages, and indicative of divisions made origmaUy for other purposes than those for which they are at present used — it IS better to consider them all as local terms, and explain them as their uae becomes necessary. These first great divisions relating to the general and central government wUl probably be found susceptible of subdivisions — for example, in England we fiid firat, the division into Shfres and Counties, and these again subdivided into Hundreds, Tithings, &c., or Pariahea, which are again formed into Unions, and as in mUitary affairs, the larger divisions arranged in Districts. The cities and towns wUl be susceptible of the same classification. The metropoUs (from the Greek, mother city) belongs, as we have seen, to the first class, as do fortresses, arsenals, and public dockyards ; whUe the prin cipal tovms of the larger divisions must be placed in the second. It is difficult to distinguish exactly between a city and a town. The appel lation may be consequent either on law or custom. Blackstone, in the Intro duction to his Commentaries on the Laws of England, deflnes a city as ' a town incorporated, which is or hath been the see of a bishop,' and he distinguishes between borough and other towns. ' A borough,' he says, ' is now understood to be a town either corporate or not, that sendeth burgesses to parliament. Other towns there are to the number (Sir Edward Coke says) of 8803, which are neither cities nor boroughs ; some of which have the pririlege of markets, and some not, but both are equaUy towns in law.' From the context it appears, that he considered tithings, to-wns, or vUls, to be marked by the possession of a church and the celebration of divine service, the sacraments, and burials; towns or tithings, subsequently called vills, consisted of ten freemen ; demi-viUs of flve, and hamlets of less than five. (See Spblman's Glossary.) These divisions, as weU as their extension to hundreds, and again to counties and earldoms, being of Saxon origin, and the civil being so intimately connected with the eccleaiaatical, vriU show not only that in these acceptations they are originally to be confined to England, but that iu them they cannot be now used even here, much less in any other country, and that their application must be governed by custom and analogy. The word town is derived from the Anglo-Saxon, tynantun; in the Dutch, tuyn, an enclosed place. The word vUl (from the Latin, villa, a country-house, and having its apphcation originaUy so confined) has, in modern times, been extended, as in Anierica and the British Colonies, to considerable fracts of land caUed townships. Geography of course concerns itself principaUy with the limits of the divisions, and the localities of the cities and towns ; their uses belong to PoUtical History. It will be necesaary, however, to enter sufficiently into this part of the subject to make the character of the divisions inteUigible. 438 THEORY OP DESCRIPTION AND 8 Cf Beligious Divisions. — It has been afready noticed (see section 5) that the religious divisions of the world have no direct connexion with the poUtical, although they have vrith those wbich are consequent on similarity of race. In modem Geography, these are few, eaaUy defined, and extensive in thefr operation. They may be characterized in principle as Monotheistic and Polytheistic, it being now generaUy admitted that no nation or society of men can be sfrictiy termed Atheistic ; and Chevalier Bunsen does not hesitate to name religion and language as being the first facts that may be predicated of any nation. Of the monotheistic systems the principal are Christianity and Maho- medanism, to these may not improperly be added Buddhism, and that of the nations inhabiting America when it was discovered by Europeans. If this classification be adopted, more than two-thfrds of the inhabitante of the world may be considered as worshippers of one God. In aU these, however, a tendency towards polytheism is apparent among certain nations and famUies in connexion vrith a personal, physical, or objective development of the faith professed. It is leas observable in the Mahomedan than in the others, because the unity of the Deity is the ftmdamental article of that creed, but it is found even there in the worship of sainte, and the same among the Buddhists. It is the cauae of the two great divisions of Christianity, the Eoman-cathoUc and the Protestant, for in this respect the Greek Church may be considered protestant. Christianity being a religion divulged, not for a race, but for mankind, may and does flourish among aU races and famiUes. It has, however, taken deepest root among the Indo-Germanic race afready referred to. The Celtic being the more impulsive, are aU but universaUy Eoman CathoUcs; the Teutonic, the more thoughtful, as generaUy Protestant. The Greek Church (the principal characteriatic of which is its entfre dependence on a civUhead — the Emperor of Eussia) has its principal root among the Sclavonic races, remarkable for thefr subserviency of disposition. Mahomedanism has pre vaUed chiefly among the races inhabiting south-western Asia and Africa, belonging to the Negritic division, as already indicated. (See P. G., p. 395.) Buddhism is co-extensive in the East -with the Mongul race. The other religions of the world appear scarcely capable of enlarged classification, being chiefiy traditionary, and uninteUigible equaUy to those professing them as to others. 9 Ofthe Dominant Beligion. — Under this head mnst first be noted the prevalent reUgion, or that recognised by the ciril govemment of the country, and the principal seats of ecclesiastical power and religious worship. These must of course obtain under different names, according to the nature of the reUgion and language of the country. The locahties of great reUgious meetings or festivals ; of universities or schools devoted prin cipaUy or entirely to ecclesiastical purposes, or carried on under ecclesiastical superrision and authority, should also be noted. These may, however, belong to the subdivision of this subject, foUowing in natural order, in which the larger ecclesiastical districts of the countey are described. This wUl depend on the character of the superrision exercised, whether general or sectional; it may also be local. The national schools of England partake of aU these characteristics, — they are national as under government inspection, or that of the National Society ; sectional or diocesan, the clergy exercising so large a share of thefr dfrection ; local, because in most caaes parochial. It wUI be obriously impossible to enter into such considerations in detaU; in most caaea it ¦wiU be possible only to indicate the number, extent, and locaUty of the minor diviaiona. Under the second head of this, as in the ciril, the chief towns of the subdivisions may with propriety be noticed, whether bishops' sees or otherwiae. 10 Of Beligious Sects. — Having considered the leading or dominant reUgion in ita geographical relation, the sects which may exist in the country GEOGRAPHICAL TERMINOLOGY. 439 under description must be taken in order of importance ; thefr centre of locaUty noted, if any ; if not, thefr proportionate distribution. From the circumstances of artificial division already alluded to, it often happens that of the same countey politicaUy considered the inhabitants differ essentiaUy in their reUgious character, and are not unfrequently connected by it more intimately with their neighbours than -with their countrymen. This may have an historical explanation, being the result of diff'erence of origin, immi gration, or otherwise, or it may be consequent on the physical character ot the countiy : the former is, perhaps, more often the case. This dirision of PoUtical Geography, as has been noticed, is not unfre quentiy found closely connected vrith both the others ; especiaUy it wUl be observed that ciril and religious Uberty walk hand in hand, and that their natural consequences are the advancement of education, the increase of agricultural or manufacturing industry, and the extension of trade and commerce. II Of Beligious Statistics. — In this class, as in the preceding, some statistical information should be included. The numbers professing the national creed, and those of the principal sects ; the proportion of numbers to area, if any secte be localized, should if possible be ascertained, and the industrial class to which they more particularly appertain should also be noted. I'rom such facts general conclusions of much importance may be drawn. Care must, however, be taken that the inferences be correct ; e. g., it might be correct to say that countries professing the Eoman-catholic rehgion are leas advanced in civiUzation than those which have protested against it ; it would be incorrect to attribute this whoUy to the religion, because those countries which have protested were once ofthe same faith; the answer must be sought in the connexion between the character of the people and their poUtical and geographical position, resulting in the one retaining, and the other protesting againat the faith in question. The cause of reUgious and social advancement may probably in like manner be found to be the same. In our ovrn country, the manufacturing and mining districts are said to be strongholds of dissent from the established reUgion ; it would be equaUy incorrect to refer this to any pecuUar antagonism to the mode of faith arising out of the habits ofthe people, or the nature of their occupations ; it should rather be attributed to the neglect of those districts by the government and the clergy, except in so far as the kind of labour may influence the development of the mental or bodUy faculties respectively, as vriU be hereafter shown, or as the purauit of wealth haa a natiiral tendency to draw men away from religion ; and thus we find that the employers have taken no care of the spiritual weUare of thefr workmen, until danger to themselves has arisen from the neglect. The materials for this division of inquiry into the PoUtical Geography of the world are very insufficient, no good hiatorical and statistical account of the reUgions ayatems extant in the world being at present in existence ; even the aggregate estimate of the numbers professing the great leading reUgions of the world being very variously estimated, and detaUs being obtainable only in those countries dfrectly under the influence of the European races, and even in them they are usuaUy very Uttle to be depended upon. 12 Cf the Industrial Geography of Countries. — The civU and reUgious diriaions of countries have been described as for the most part rather arbifrary than natural, thefr connexion therefore with Geography proper is rather accidental than essential. The thfrd — -riz., the industrial, differs from the others in this, that the localities in which its great diviaiona are found, have usuaUy a natural relation to them — i. e., the industrial occupations pre vailing in them are consequent on thefr physical character. The truth of this vrill appear on very cursory inquiry. Land suitable for pasturage is seldom so well adapted, frequently is not at aU suited to agricultural purposes. The locahties of certain manufactures are dependent sometimes on the presence of the raw material, often, perhaps, on that which is necessary for its conversion to useful purposes. Thus the copper of CornwaU and AustraUa is carried to 440 THEORY OF DESCRIPTION AND the coal districts of South Wales for smelting ; the cotton of America to the neighbourhood of fron and coal for machinery and fuel. In such cases the proximity of good ports and harbours, and their connexion vrith the interior by rapid and easy teanait, both for the importation ofthe raw material and for the export of the manufactured goods, is indispensable. The rise of such commercial towns as Glasgow and Liverpool is naturally consequent, as are the rapid increase of population and the extension of intemal communication. The influence therefore of mineral wealth is moat conaiderable, and among minerals, coal and fron, as of most general appUcation, occupy the firat place. 13 Of Industrial Dirisions. — The leadmg sub-dirisions of this part of Political Geography have been already aUuded to, as — I. Pastoral; 2. Agri cultural; 3. Manufacturing; 4. Commercial. These, of course, may frequently be found in close connexion in the same district, but the character of the district vriU be decided by the predominant industrial occupation. Each of these must be considered, not only as to its locality, but its character; and as the character of the disfrict and consequent occupation of its inhabitents react upon thefr character, both physical and mental, it wUl be necessary to consider them in this relation also. 14 Cf Occupation.— The amount of mental effort necessary to dfrect physical labour varies with the nature ofthe employment. The predominance of the physical over the mental, or vice versd, wUl produce a development corresponding to the proportion of those influences in the people subject to them. Speaking generaUy, labour is not a characteristic of pastoral life ; in agricultural, flie labour requfred is rather bodUy than mental; in manu factories, the labour employed is certainly skUled labour, but that often more the effect of habit than knowledge or mental effort ; and this is especiaUy the case in such as admit of considerable dirision of labour, more particularly so when the article manufactured is smaU and made in very large quantities; in auch, the people employed may be considered rather aa Uvmg machines than rational agents. Labour incident to commercial pursuits, especiaUy that of navigation, seems, upon the whole, most conducive to an equal develop ment of mental and bodUy energies. But it is not sufficient to consider the nature of the labour to which different classes are subject, the leisure afforded them must Ukewiae be eatimated, aa weU aa thefr action and reaction on each other. The effect of Ieiaure, like that of labour, differs according to its character and extent. In pastoral Ufe, the labour, if ever conaiderable, is so only after long intervals of leisure; this leisure is of necessity spent among the works of nature; thefr contemplation is therefore a general consequence. The motions of the heavenly bodies mark the passage of time and the retum of the seasons ; the beauties of the Earth and her productions, and the order and harmony of the works of creation, produce corresponding ideas in the mind. Among pastoral tribes and nations, therefore, asfronomy, music, and lyric poefry have been most frequently cultivated. The prevalence of leisure among them commonly gives to their relaxation the character of physical labour, and thefr habits of contemplation and soUtude give self-dependence of character whUe they dispose the mind for the reception of superstitious rites, or even more to a speculative faith. It may be a question whether the pecuUarities of thefr Uves do not offer a serious bar to the reception of polytheism and idolafry. In agricultural Ufe, the regular and. continuous sfrain on the physical powers produces corresponding exhaustion; leisure is used for rest, and enjoyment is customarUy sensum. The physical development is in muscular strength, the mental ia overpowered by it, the religious beUef assumes a personal and sensuous character, and becomes often vulgarly and coarsely superstitioua. In the majority of manufactm'ing cmploymenta, tho leisure is more that of the mind than the body, thc labom' being rather constant than severe ; and GEOGRAPHICAL TERMINOLOGY. 441 when the employment aasumes the character which has therefore been called mechanical, because like that ofa machine, though appUcable to a higher class of production, the mind may be entirely abstracted from the labour of the body, and not unfrequently handicraftsmen ply thefr trade with minds absorbed in mathematical calculations. The more mechanical, therefore, any emplojrment is, the more the mind may be disengaged, and the more varied and extensive wUl be the mental pursuits of those engaged in it. Such labour is also debUitating to the body; a morbid habit is produced. The tendencies of this class are consequently towards abatruae speculations, mathematics, phUosophy, poUtics. The shoemaker and the tailor may be the rival poli ticians of the country vUlage. In disteicts entfrely manufacturing, political societies and combinations are commonly found. The morbid temperament consequent on the nature of their employment enlarges real and suggests imaginary evUs; nervous irritabUity takes the place of muscular strength; the enjoyments, often sensual, are chiefiy, if not entfrely, of a stimulating character; the rehgious tendencies are speculative, not imaginative ; their development, deistic, if not atheistic. These are, therefore, the natural resorts of the pohtical reformer and the reUgious schismatic. The labour and leisure consequent on the pursuit of commercial industry are so varied in thefr character, that in thefr results they may resemble any or aU the other classes. The saUor may, however, be fafrly taien as the type ofthis dass. The leisure in his case is simUar to that of a pastoral Ufe, excepting inasmuch as it wants most of the beauties, whUe it abounds in the sublimities, of nature; it produces, therefore, a character imaginative and superstitious, perhaps, but scarcely poetical. The constant realization of danger makes the recognition of a personal pro-ridence customary in him, but the equaUy constant conquest of the dangers to which he is exposed, by science, sEU, courage, and physical power, gives him a mental and bodUy self-depen dence unequalled, perhaps, by any other. Accustomed to discipline, obedience ia hia pohtical characteriatic, though, inasmuch as his Ufe is spent almost entirely apart from civU institutions, he can scarcely be said to have any poli tical creed. The conclusions which foUow on these considerations appear, then, to be, that pastoral life produces a simple, impulsive, imaginative race, possibly deficient m reasoning powers ; religious, but superstitious, and not idolatrous ; recognising an immediate connexion with the Deity, and therefore conscious of iimerent dignity. The poUtical character wUl be tribal, tending to royalty ; the physical, that of energy rather than strength. The agricultural wUl be the contrary of this : heavy in body and mind, sensual in character, his reUgion wUl be gross — his political habit submissive —his self-dependence that of brute force ; he vriU be the slave of the despot and worshipper of idols. The mechanical vriU produce highly-developed reasoning faculties, com bined with low physical but highly-nervous energies ; the deist and the democrat. Cities, especiaUy manufticturing, have therefore been the originators andaupportera of democratic forms of govemment; then of equaUty, productive of anarchy, as among the ancient Greeks and modern Itahans — the dominion of one, an empfre, as in the case of Eome and Paris. Commercial cities have the same general characteristics, softened by more extended intercourse with the rest of the world ; and in them the saUor often becomes a political tool, from his habit of obedience and his want of civU associations. From these it foUows, moreover, that countries possessing the most varied phyaical features produce, on the whole, the most highly-developed race of inhabitants. Such are the countries which have borne, and wUl continue to bear, rule in the earth. Such were Peraia, Greece, Italy ; and such, but in a far higher degree, is England. (See Gutot's Lectures, c. I.) 15 Ofthe Pastoral. — The true pastoral districta are those which are only suited to the production of short and sweet herbage, and therefore unfit for tillage, either from the lightness or superficial nature of the soU. It not 442 THEORY OP DESCRIPTION AND unfrequently, however, happens that low lands, on which luxuriant grasses can be produced by irrigation, either natural or artificial, and which could also be made to bear large crops of other vegetables, are devoted to the rearing of cattle. These are not properly to be reckoned in the pastoral districta, and yet they can scarcely be otherwise classed than in them ; and a comparison must therefore be instituted between districts of such different character as the downs of Sussex and Hampshfre, the bills of Cumberland and Westmore land, and the rich vaUeys of Hereford, Somerset, and Devon, and the flats of Lincolnshfre. Land recovered from, or occasionaUy overflowed by, the sea is often devoted to the feeding of cattle, the saline character of the herbage being, for short periods, very conducive to thefr health. This again can scarcely be considered pastoral, and with the preceding, whUe classed among pastoral in its productions, may, in the character oi its inhabitante, be rather con sidered agricultural. • Pastoral countries generaUy present a nomad population ; in them, cities, are of course rare, and the pecuhar character of thefr inhabitants is dependent on that of the animals they rear, and the uses they put them to. Tne Lap lander who tends his reind.eer to supply the necessaries of life, differs less from the Arab in this than in the consequences of the cUmate he resides in, whUe both perhaps differ equaUy from the Gnacho of the Pampas, who rears his herds of vrild cattle to carry on a teade in hides and horns. Wben therefore these disteicts come under notice, these peculiarities must be specified. The portions of the world naturaUy adapted to pastoral Ufe, are usually found between the primary and secondary watersheds of the conti nents on the side of thefr least rapid decUvity and greatest extension, and form a very large proportion of its surface. They are not, however, fitted to support a popiuation equivalent to thefr extent. From them, therefore, at vanous times great emigrations have taken place, which have had a marked effect on the history of the world. Pastoral countries may and usuaUy have agricultural districts vrithin them; countries not pastoral may have districts of that character. The influence on the people vriU in the one case be general, in the other, local. The social Ufe of pastoral countries has been generaUy of a patriarchal nature, ciril government scarcely recognised ; thefr commerce usually carried on overland by means of caravans ; thefr poUtical combinations can therefore never be elaborate or lasting, thefr commerce never extensive. As the pastoral habit of Ufe appears to have first prevaUed after the Deluge, so the caravan (a word probably of Persian origm) teade seems to have been the first in use. We find it so in aU countries in course of settlement, if suitable to it ; it disappears with the erection of cities and the estabUshment of roads, and means of more safe and rapid communication. 1 6 Of the Agricultural.-— The agricultural countries and districte of the world are, as the name impUes, those which are capable of cultivation by man, upon whioh he can by manual labour raise vegetables necessary for the support of life, and essential to the arte and requfremente of civilization. They are usuaUy found in the vaUeys of rivers ; the richest and most extensive in the allurial formations about thefr lower course and beyond the secondary watersheds. Here are to be found the great corn and rice pro ducing countries, those whioh supply others with the means of subsistence — the granaries of the world. In a state of nature, those districts of the Earth which are best adapted to agricultural purposes are commonly covered with the heavy growth of vegetable life, often of frees. The character of this growth indicates the quality of the soil, and the nature of the crop it is most calculated to produce. The Unit which connects these districts with the commercial and manufac turing, is suppUed by this cfrcumstance— the agricultural districts requiring the produce of the manufacturing, whUe these again, not producing food for a superabundant population, must be dependent on them for it. The identity GEOGRAPHICAL TERMINOLOGY. 443 of the interests of all men and thefr mutual dependence on each other, thus appear to be the natural order of creation. The agricultural districts are those which foUow in course of settlement on the pastoral. Thefr settiement of necessity raises the question of tenure of land. The modes in which land raay be held by individuals may be reduced ¦under two heads ; the one in which the occupier is the owner of the soil, the other in which he pays rent for his occupation. These have been consi dered respectively characteristic of different races of men, possibly they are rather distinctive of different stages of progress. Tenure by mUitary serrice, the basis ofthe feudal system, and one form of tenure by occupation, has pre vaUed wherever the Indo-Germanic race has been diffused, and by its pre valence marks it as migratory and aggressive. We first read of rent for knd in the book of Genesis, where Joseph bought all the land of the Egyptians for Pharaoh, and let it again to the Egyptians for a fifth part of the produce. (Gen. xlvu. 24.) These two modes of tenure, producing very dif ferent effecte on an agricultural population, are important to be noticed in Political Geography. It ia, as has been observed, in districts of this character that cities have first arisen ; in them, man being stationary, property has increased, and with the increase the mechanical skill of man has been developed to supply his artificial wants, the result of riches and society ; a marked distinction thus arises between the dweUers in towns and the agriculturists — a distinc tion which becomes more marked in proportion to the increase of wealth andpopulation. The nature of the agricultural produce of any disfrict must have its effect on the people inhabiting it, not only because of the difference of climate and soU necessary to the production of different plants, but of the effect which those uaed for food may have on the physical energies of the people. Thus, the corn-producing countries wiU be more favourable to physical develop ment than the rice-producing. It is necessary also to consider whether the vegetable produce of the Earth be directly employed in manufactures, or fransported for that purpose, as at present the three great staples, cotton, flax, and hemp are. The transport of heavy raw material to a distance, for the purpose of manufacture, is e-ridence of a great advance in the industry of the countries engaged, especially that in which it is manufactured. It may also be taien as an indication that there is a surplus beyond the produce requfred for the food of the people. The retums vriU, therefore, be in manufactures or money, and the balance in favour of the country exporting. 17 Cf the Manufacturing. — Manufactures are, in the early stages of civUization, carried on among a nomad or an agricultural population ; they become localized when either the dirision of labour for their conduct on a large scale becomes necessary, or the presence of the raw material attracts them to any particular place. Since the extensive use of machinery in aU manufactures, they have had a tendency to gather round the coal and fron producing disteicts ; the facilities of transport afforde^ by raUroads may have a tendency to disperse them again. At present, however, these minerals muat receive special notice in connexion -with the diatribution of manufac turing industry over the face of the globe. When the agricultural produce of any district is employed in neigh bouring manufacture, the one is supported and enriched by the other, but it more often happens that the increase of manufactures in any district has a tendency to desfroy its agricultural character. This happens especiaUy m distncts, the mineral wealth of which is the subject of manufacturing indust^— and this, if only from the necessity of finding place for the refuse which has been brought to the surface vrith the deafred mineral. In some mming districts, the coal in particular, the disposition^ of this rubbish is a problem often difficult and always expensive in its practical solution. But in any case, the necessities of a dense population, whether real or artificial, the 444 THEORY OP DESCRIPTION AND supply of the wants of the poor and the luxuries of the rich, must reduce considerably the agricultural capabiUties of the district. It is also a question of importance whether the manufactures of any countey are for home consumption or for exportation; if the former only, they must be very limited in extent ; if the latter, they wUl of course be enlarged to meet the demand made for the article produced. The consequence wUl be, a return trade and enlarged commercial relations ; and here also a reactionary tendency may be observed, since much of this retum trade wiU be in agricul tural produce for the food ofthe manufacturing population. The congregation of men in manufacturing districte, and the tendency of these employments to lower the amount of agricultural produce to be obtained for them, wUl thus compel a teade in articles of food; but as the food-producing countriea are uauaUy in a low atage of civilization, their con sumption of manufactured articles is limited, and commerce therefore fiows in two channela. The presence of mineral wealth is dependent on geological formation, by it the locahties of certain manufacturea are of necessity determined ; and here also, as in the other divisions, we see the nature of the country influencing, if not determining, the character and occupation of ite inhabitants. 1 8 Cf the Commercial. — Commerce is dependent on manufactures; it is either internal or external, maritime or over-land. Commerce is the exchange of surplus commodities ; even where it is carried on vrith a cfrculating medium on one side, this is strictly teue ; there muat then be a aurplus of money. Theae exchanges can only be made between places where the surplus is different. The commercial relations between different parte of the world are, therefore, determined by the character of thefr productions. Commerce is therefore, in its geographical disfribution, not the result of accident, but subject to fixed laws. The paths of commerce also are regulated by physical causes. The caravan trade of old was carried, as it is now, over table-lands, deserts, and prairies. The passes of the mountain chains have directed it first into certain districte, and brought those thus connected by the head-waters of thefr rivers into early and most immediate commercial relations. In maritime commerce, islands and inlets of the sea had an early share, voyages were then made across the ocean, but even its broad expanse did not give unlimited facUities for traffic. There also physical difflculties formed barriers, imperceptible indeed, but stiU effective. Currents and trade-winds dfrected commercial intercourse into certain channels, from which not even steam navigation has materiaUy diverted it. The extension of raUway traffic seems, however, Ukely to bring back much of the commerce of the world into the old overland routes, and by making speed the first element in the calculation, to invest those parte of the continental masses that approach nearest to each other with an import ance they have not enjoyed since the earUest periods of commercial enter prise, as affording the more immediate means of communicatiou. From what has been afready aaid, it wiU be apparent, that, aa extent ia the reault of elevation, or in other worda, the horizontal development of the land is the consequence of its vertical contom', upon this also depends the disfribution of animal and vegetable life over the surface of the earth, the variety of produce of different countriea, their consequent rela tive value as a residence for man, and the commercial relations wbich may exist between them, and no lesa the physical development of man himself, his habits of life, employments, and mode of thought, and hence, in no smaU degree, the character of hia religioua and political life — upon this alao haa depended the distribution of mankind over the Earth, both in time and space, the earher or later peopling of different districts, the som-ce from whence they have been peopled, and the paths of migration, — these have had thefr own proper effect on the history of the world, speciaUy in the diffusion of language and literature — have made the western part of the old continent progressive, whUe the eastern haa remained stationary, if it has not retrograded. GEOGRAPHICAL TERMINOLOGY. 445 The presence of minerals and metals has also been shown to be dependent on the same cause, being found only in certain parts of the geological series. They are avaUable only when those portions are presented. The rocks which have been formed by fluvial deposit, and especially the coal measures, could only have been so formed in entire or partial basins, and their localities have therefore been determined by vertical contour at the period of their forma tion ; whUe those minerals and metals which are formed in connexion with rock of earlier place in the series, are only avaUable for the purposes of man where they make thefr appearance above or through the others. The localities of manufacturing and mining industry have therefore been pre-arranged by the same cause. It has been shown that commercial exchanges are the result of variety of produce, that this variety ia the conaequence of variety of contour, that the paths of commerce by land are determined by, and that those by sea have been, and are now dependent on the same causes. It haa also appeared that aU theae have a reciprocating effect on each other ; for not only do manufactures encourage and develope agriculture, if not at home, of necessity elsewhere, that commerce ariaea and la maintained by the variety of aupply and demand ; but that different kinda of manufacturea and variety of commercial intercourae, as weU as of agricultural produce, stimulate and encourage those with which they are connected ; and thus it becomes apparent that countries possessing the greatest physical development are capable of the greatest induatriaf development also. The knowledge therefore of vertical contour muat be the basis of aU true geographical knowledge, and from the considera tion of its effects we must conclude that the Great Creator in giving form to the Earth disposed certain causes to neceaaary enda, and that in thia dia- poaition he proposed the ends to which he haa adapted the means, and that we, as parts of his creation, more especiaUy those to whom as his intel ligent servants he has given the rule and use of his inferior creation, shall act most to his glory, and best fulffl the conditions of our own existence, when we dfrect our actions, whether poUtical or social, vrith an inteUigent apprecia tion of them ; and that his original deaigna and beneficent intentions towards the world caimot be fulfiUed by us, untU we know, appreciate, and apply to thefr proper purposes, the capabUities, not of one but of aU countriea, untd we conaider not only what one country may be made to produce, or what one people are capable of producing, but how the produce thus obtained wUl affect other counteies, how advantage may result to others also ; in short, tUl the good of the many be consulted, instead of that of the few, and we fulfil generaUy, as well as particularly, the royal law, to do to others as we would have them do to us. 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