(iass_ L(l Go o I Book ' h/*^^ COPYRIGHT DEPOSIT FIRST GRADE— NUMBER ONE. Teachers' Home Series L. B. McKENNA, M. A., LL. D.. President and Director. ^* • » a • s ■. » Quincy School of Correspondence'/ •'*' Quincy, Illinois. ) w . I,. R.'JVlcKEJNNA, M. A., LI,. D. • • 4 • • r « • • ♦ • , , • •• • ;••••. I The President and Di- Doctor L B- mcKentta, sector oftMs school, is one of the most prom- inent educators in this country. The fact that he is at the head of this institution is suflacient guarantee that the courses of instruction are of high standing, and that the school is conducted along conservative and honorable hues. The faculty is very strong, each member of it being a specialist, and great care has been taken in the preparation of the lessons, thus enabling students to make the most rapid and satis- factory progress. The different courses of training ar% practical, and have been prepared to meet the needs of the stu- dent, who desires thorough, comprehensive and progressive work, free from unnecessary technicali- ties, and a strict avoidance of everything savoring of a superficial character. The instruction is individual in every sense of the term; each student works under the personal direc- tion of his teacher. Professor McKenna is a teacher and author of wide experience, and occupies a high position pecu- liarly his own in the higher educational circles of Quincy. Few educators in this country have so wide an acquaintance. His graduates being located in every State and Territory, and in the countries be - yond the seas. The influence of his teaching, in starting young men and women in a successful educational career, can scarcely be estimated in its far reaching effect. (^■,r libraijy of congress Two Copies Received JAl^ II 1904 Copyright Entry CLASS ^ XXc. No. L. ^ l&P^t 2 COPYRIGHT QUINCY BUSINESS COLLEGE. 1902. INTRODUCTORY. "The best education is that which makes us capable of self education, because education cannot create, it can only develop". QUINCY SCHOOlv OF CORR:^SPOND]^NC:e, QUINCY, ILLINOIS. L. 2. McKenna, M A., LL. ©., President and Director, Dear Friend: The Quincy School of Correspondence extends to you a hearty greeting on the beginning of your Work with us. We trust and beheve that our association as instructors and learner during the six months' course will prove pleasant to us and profitable to you. We are thoroughly in earnest in our determination to do all we can to help you, That j'^ou are in earnest in the desire to be helped, your enroll- ment in our school is sufficient evidence. We offer here- with a few suggestions embodying some of the conditions which experience has taught us are essential to your success. First. It is of the greatest importance that the first month's work be thoroughly mastered in every detail. If, upon looking over the text, some of it seems dry and diffi- cult do not miss the opportunity thus afforded to show what is in you. By an effort of your will, compel your attention, your judgment, your reason, your memory to lay hold of the subject matter and to continue active until you are cer- tain that your mind is in full possession of each subject so far as it has been presented. The French have this proverb : **It is the first step that costs." If you conquer the first 5 iNTRODtJCTORir. month's lessons you will have overcome the inertia which always makes it so difficult to get started on any new line of work, and your prospect will be bright for completing your course satisfactorily. Second. There is often a tendency to relax one's effort after having performed the hard work involved in the first step. Do not yield for one moment to this tendency. If you persevere you will, in time, form the habit of applica- tion, and so find that the mastery of your lessons will become less irksome. Third, lliink your way through every lesson. Defini- tions should be memorized when their meaning is well understood, but your study will be barren of good results if you fail in the constant exercise of reason and imagination. Fourth. In writing your answer papers, try to express your thoughts in a few significant words; many papers are poor because they are too wordy; do not, however, econo- mize words to such an extent as to leave your thought in an incomplete or fragmentary state. Fifth. When answering your questions, write on good paper, using both sides; write carefully and legibly with good black ink; place your name at the top of every paper; leave a line between answers; when you have finished writing a paper, read it over carefully to see that answers are complete; be careful about spelling and the use of capitals. Sixth. Do not roll your papers when you mail them; arrange them in the order in which the subjects appear in the test questions and mail in a large envelope, paying full letter postage. Have the package weighed at the post office to determine the number of stamps necessary. Seventh. Your first lesson will be sent you shortly after we receive your enrollment at this office, unless a 6 INTRODUCTORY. specified time is stated on the enrollment blank to begin at a future date; also test questions. You will mail your answers to your questions at the time specified in letter of instructions after you receive lessons, and your work graded and mistakes corrected, with an estimate on your work, sent to you, also printed answers to questions sent. Then you will receive the second lesson, and so on, all through the term. With a large membership, an extensive correspondence, and a low rate of tuition, it is impossible to Write in full to each member. These suggestions are addressed to you personally; every one of them Is important; and success in our efforts to help you must depend largely on the heed you give to them. All mail should be addressed to the Quincy School of Correspondence, QUINCY. IZ^JLINOIS. With best wishes for your success, I am, Sincerely yours, HOME. STUDY. *'The real worth of a school is not measured by the amount of knowledge it imparts, but by the self activity it calls forth". In 1873 there was a Home Study Circle organized in Boston, Massachusetts, for home reading and conversation, the members fully reahzing the force of the statement of Lord Bacon, "Reading maketh a full man, conversation maketh a ready man, but writing maketh an exact man". A few years later there was organized a Literary Union, known as the Chautauqua Literary and Scientific Society, for the purpose of home study; the instruction and direc- tion being carried on by mail. Since then a number of correspondence schools have been estabhshed all over the country, with the most gratifying results both to students and teachers. Many of the leading universities and colleges in America are now teaching, and have in the last few years organized departments of correspondence, with a view to accommodating those who, for any cause, cannot attend college. President Harper, of the University of Chicago, one of the leading institutions of America has said: "The work done by correspondence is even better than that done in the class-room. Students who come to us after a year of such work are better prepared than those who have taken it with us in the class-room. "The correspondence student does all the work himself; he does it in writing. He does t yenty times as much recit- ing as he would in a class of twenty people. He works out of the difficulties himself, and the results stay by him." Dr. Charles H. Parkhurst, one of the great New York preachers and reformers, has said: 8 HOMB STUDY. "The great fault of private attempts at education is that the learner is a blind leader of the blind, and, there- fore, runs the risk of never getting anywhere in particular. It is at this point that the scheme of education by corres- pondence comes to the rescue. If a man cannot go to college, the college can, in this way, in a very wide and true sense of the term, come to him." It must be very evident to any thoughtful person that these men, whose statements are just quoted, would not have made them if they did not have imphcit confidence in the benefits to be derived from the course of training suggested by them. The course of reading and training by corres- pondence is undoubtedly grand in its conception and suc- cessful in its operation; in short, a blessing to thousands of ambitious young men and women, who otherwise would be deprived of the advantages of a coUege or business training. ADVANTAGES. 1. This school enables teachers to prepare for exam- ination at home, and prepare in such a way as to pass with ease in any county. 2. Six weeks' Normal will cost #25 or $50 at the low- est estimate, and a Normal shorter than six weeks will amount to nothing. This Course will cost much less, and will be far more profitable than any six weeks' Normal. 3. One feature that ought to commend it to all teachers is the fact that they can do their review work in such a way and at such a time as to leave them free during vacation time to enjoy rest and recreation like other pro- fessional people. 4. The previous strain of an eight months' term of school, followed by a Normal driU during the heated term, 9 HOMlg STUDY . leaves the teacher worn out at the beginning of the coming year's work. To obviate this is one of the objects of the Correspondence School. The Diploma given at the completion of the Course will have weight with School Boards and will consequently influence them in the selection of teachers. 6. County Superintendents will be glad to have their teachers do this work; because, it will add strength to the teaching force of any county, and leave teachers in better shape to attend the Annual Institute, and derive greater benefits while doing so. 6. This Course gives thorough instruction in Pedagogy and this alone ought to be worth the price of tuition, as Professor McKenna is one of the best teachers in the United States. 7. This plan contemplates a thorough drill and review under competent direction. It will not interfere with the teacher's regular work, but will better qualify him to per- form his ordinary school duties. It will give him an oppor- tunity to use what he learns as he goes along with his daily routine work. 8. If the teacher cannot go to the Normal School, it brings the Normal School to the teacher in a very broad sense and without the expense of board and the cost of travel. THE DESIGN OF OUR CORRESPONDENCE COURSE. Public school teachers who may wish to secure a higher grade certificate, or who feel that they are lacking in knowledge sufficient to teach "the young idea how to shoot", will be particularly benefited by securing this train- ing. Teachers and other persons, who, by reason of age or other conditions, cannot afford the time nor money to leave home to attend college, will find this a very excellent 10 HOME STUDY. means of securing the advantages of instruction by mail; in short, all information in the course of instruction planned that may be sought can be had for the asking. This will also be found an excellent means for securing the ordinary college post graduate course, because there is no donbt of the truth of the statement, "When a man puts learning in his head, he is furnishing himself with the means of putting money in his purse, and thereby securing the best form of wealth," because wealth of intellect is first in rank among all thoughtful persons. duigencb is the mother of success. Sir Joshua Reynolds has said: "If a man has great ability, industry will make him greater, and if he has but moderate abiUty, industry will sometimes supply the deficiency." Real merit will sooner or later bring lasting success. Success is said to depend largely upon an intelli- gent purpose, kept well under control. A man's success in Uf e is generally in proportion to his confidence in himself, and the energy and persistency with which he follows his aim. There is a Persian maxim which says, "He who hath no mission, hath no ambition, and he who hath no ambition, hath no purpose in Ufe." It must be evident to any thoughtful person, if a man has no con- fidence in himself, others will have no confidence in him. A person who can easily be discouraged, or turned aside from his purpose, is one who will never succeed under the sharp competition of every-day fife. A man without unity of purpose and persistent effort, will never reach the goal of his ambition. Confidence in one's own effort has brought many a man to prominence. Pestalozzi, Froebel, David Page, Horace 11 hom:^ study. Mann, Edgerton Ryerson, and all other teachers who havt made their mark in life, have had a purpose, and have worked up to it. To secure these advantages enroll at once as a student in the Quincy Scfiool of Correspondence, QUINCY, ILLINOIS. 12 / BOTANY. (FIRST PAPER). INTRODUCTORY. Botany is a study which seeks to answer any reas- onable question about plants, and as such covers a broad field. It may be divided into the following subdivisions : Morpholog"y (mor-fol'-o-jy).— The study of the mere form and structure of a plant, without regard to its character as a living thing. Geographical Distribution.— The range of the various kinds of plants over the earth's surface. Vegetable Physiology. — The plant in dfetion, how it lives, feeds, breathes, grows and reproduces its kind. Vegetable Ecology (e-col'-o-jy).— The relations of the plant to the conditi©ns under which it hves, viz. : effects of soil, chmate and friendly or hostile animals upon the ex- ternal form and internal structure and habits of plants. Economic Botany.— The uses of plants to man. Systematic Botany. -The classification and re- lationships of plants to each other. In this work-it will be necessary to confine ourselves to the morphology, physiology and ecology of plants, and a general outline of the classification. The topics cannot be discussed entirely separate from each other, as this would necessitate much repitition and consequent waste of time and space. Furthermore, the earnest student will be con- tinually on the lookout during his walks through field and forest for verifications and demonstration of principles and phenomena mentioned in this work. With simple lens and pen-knife he will discover for himself a vast store of information, and by means of a few famihar seeds planted BOTANY. and allowed to come to maturity, he will learn, first hand, much about the structure, growth and physiological pro- cesses of plants. SEEDS AND SEEDLINGS. Let us examine a bean or a pea in the pod. We find that the seed is attached to a ridge (placenta, pla-sen'-ta) along one side of the pod by means of a tiny stalk (funi- culus or funicle, fu-nik'-u-lusor fu'-ni-k'l). When the seed is ripe and faUs from the pod the funiculus generally breaks off close to the seed, leaving a rounded scar (hilum, hi'-lum). Near the hilum will be found a minute pore (micropyle, mi'-cro-pile), the origin of which we shall learn later. Soak some beans over night in water, or until soft, an 1 examine the internal structure. We find a tough outer coat (testa) and a dehcate inner coat (tegnien) surround- ing the kernel (embryo, em'-bry-o). The embryo con- sists of two thickened bodies (cotyledons, kot'-i-le'-duns) fastened together at the base; a small pointed body (radi- cle, rad'-i-k'l) arising from this juncture and bending around the edges of the cotyledons; and a pair of tiny leaves (plu- mule, plu'-mule) arising from the same juncture, but lying between the two cotyledons. Place a few soaked beans between pieces of moist blotting paper, and enclose in a vessel of some kind to keep them from drying. Examine on successive days. We find the radicle enlarges and soon protrudes through the coats, and endeavors to take a downward direction. If allowed to continue its growth, it will become the main root of the plant. Soon Kttle knobs appear on its sides back near its origin. These grow out into lateral roots. . In the meantime the plumule enlarges, pushes apart the cotyle- dons and emerges as a pair of green leaves with a bud be- BOTANY. tween them. Continued growth of this portion of the seed- ling produces the upright stem with all its leaves, branches and flowers. Now, let us examine, in a similar manner, some grains of corn. A grain of corn is not a seed alone, as is the bean, but consists of a kernel enclosed in a tight- fitting covering composed of seed coats and ovary walls all grown together. It corresponds to the entire bean pod with the included seeds, except that there is only one seed instead of many. Remove the seed coats and observe that the ker- nel is made up of two parts — a compact, cream colored, boat shaped portion (the embryo) and a whitish or yellowish, starchy mass (the endosperm, en'-do iperm). The embryo is made up of a single, keel-shaped cotyledon (Icutellum sku-tel'-lum), partially enclosing a slender plumule com- posed Ojl several tiny, rolled-up leaves. At the base of the plumule a minute, pointed projection represents the radicle. , If some grains of corn be allowed to sprout, it will be found that the radicle rapidly elongates to form the pri- mary root; from around the edges of the plumule sec- ondary roots arise; the plumule enlarges and pushes its way upward to form the stalk of the corn, and the scutel- lum remains in the ground in contact with the endosperm within the seed coats. Plant some beans and corn and observe the growth of both bean and corn seedlings for several weeks. Notice that the cotyledons of the beans rise to the surface of the ground and become green and thin. They are really leaves and function as such for a short time but af- ter a while they shrivel and fall. Their work is done. Their store of food has nourished the young plant until it could develop organs of its own for obtaining an4 assimi- lating food. The single cotyledon of the corn dpes ijot BOTANir. appear above the ground but remains within the grain as an absorbing organ to dissolve the starch of the endosperm and pass on the nutriment thus obtained to the growing seedhng. If other seeds be experimented with, it will be found that many with thick, fleshy cotyledons like the pea and buck-eye never raise the cotyledons above the ground. Many seeds, hke the four-o'clock and poppy, with two cotyledons have an endosperm Hke the corn and their cotyledons remain in contact with the endosperm until it is all absorbed, and then they come to the surface. . The number of cotyledons enables us to subdivide the Seed-bearing plants into three main divisions; (1) monocotyledons, with one cotyledon, as the corn, grasses, hUes, orchids, etc; (2) dicotyledons, with two cotyledons, as the bean, squash, rose, maple, etc. ; and (3) polycotyiedons with more than two cotyledons, as the pine, spruce, hemlock, cedar, etc. THE PLANT BODY. In all plants there is a certain amount of material ar- ranged in definite form and controlled by an obscure com- bination of powers which we call life. Some of this ma- terial remains for a short time as a part of the body and is then discarded; other material remains a part of the body as long as hfe exists. That which is changing most rapidly is the living substance called protoplasm. If there are parts of the body not living they have been formed by the protoplasm and are generally controlled by it. When the plant body is large it is generally made up of distinct parts called members. Thus the corn has two principal members, a root below the ground and a shoot above the ground. The root consists of many subordinate members, the roots and rootlets; the shoot consists of BOTANY. stem and leaves; the leaves of blade and petiole, etc. Simpler plants may kave no members at all but, as in the pond scums, may consist of a row of ceUs or, in the diatoms, of a single cell. Plant- cells are the units of which plants are built. All plants, from the lowest to the highest, are composed of cells simple in the lowest forms, varied and much modified in the higher forms. A plant -cell is a minute portion of Mving matter, the i>rotoplasin, generally surrounded by a membrane, the cell wall. The protoplasm is the es- sential part of the cell. It constructs the cell- wall. Rarely if ever is it uniform throughout, but shows distinct parts, each having special work to do. In the moit complete and active ceUs the greater part of the protoplasm con- sists of a finely granular or nearly transparent, colorless portion, the cytoplasm, in which other parts seem em- bedded. Protoplasm is not a single substance, but a mix- ture of several different substances, so intimately mixed and so easily destroyed that it is impossible to analyze it. Moreover the nature and amount of the components are probably variable. In all but the youngest ceUs there are one or more bubbles of water in the protoplasm. These appear as clear spaces and are sometimes called vacuoles. Embedded in the cytoplasm is a spherical, ovoid or elongated body, called the nucleus. It is composed of threads of protoplasm and is sometimes surrounded by a very dehcate membrane. Inside the nucleus there may be one or more small bodies, called nucleoli. The nucleus is a very important part of the cell. It often divides into two, and this division is commonly followed by the formation of a partition wall separating the cell into two parts, each containing one of the daughter -nuclei. BOTANY. In most cells there are also other small bodies besides the nucleus embedded in the cytoplasm. These are called plastids. In young cells they are small, rounded, color- less bodies. As the cell grows older they increase in size and number. When mature and in cells which lie near the surface of green plants, they are commonly rounded or biscuit- shaped, of spongy texture, and colored yellowish - green by a substance called chlorophyll. These are commonly known as chloroplasts or chlorophyll bodies. If colorless they are called leucoplasts. In some cells, particularly those for the storage of food, they may develop into smaller, denser, flattened or roundish, uncolored bodies, whose work is usually to gather starch into grains. In other cells, particularly in highly colored parts the plastids may become of most diverse form and size and take on some color such as red or yellow . These are known as chromoplasts. The ceU-wall is formed by the protoplasm, and in green plants when first formed is composed chiefly of a horny substance called cellulose with which, as it grows older, various other substances, such as crystals, starch grains, etc., may be mixed. Differentiation of Tissues.— Among the simplest plants, the Algae and Fungi, the cells forming the plant body are practically all alike, both as to form and work. What one cell does all cells do, and there is very little de- pendence of one cell upon another. As plant bodies be- come larger this condition of things cannot continue, as all of the cells cannot come into the same relations. Some of the cells can receive their food supply only through other cells and thus the body becomes differentiated. Then again, certain cells must become specially differen- tiated as organs of reproduction while the others remain 6 BOTANY. as nutritive cells. Thus we come to have what we call tissues. A tissue is an aggregation of similar cells doing similar work. In the simplest plants the nutritive body is practically one tissue. This primitive nutritive tissue is composed of cells with thin walls and active protoplasm, and is catled parenchyma (pa-ren'-ki-ma) meaning "parent tissue." The three dimensions of these cells are approximately equal, though sometimes they are elon- gated. Until abandoned, such cells contain very active protoplasm, and it is in them that nutritive work and cell division is carried on. So long as these parenchyma cells retain the power of cell division the tissue is called meristem (mer'-is-stem) from a Greek word meaning "to divide." When the cells stop dividing, the tissue is said to be permanent. The growing points of organs, as stems, roots and leaves are composed of parenchyma which is meristematic, and meristem occurs wherever growth is going on. All other tissues are derived from parenchyma, and as the work of nutrition and reproduction is always re- tained by the parenchyma cells, the derived tissues are for mechanical rather than for vital purposes. When a plant body becomes complex a conductive system is ne- cessary, so that the different regions of the body may be put into communication. The material absorbed by the roots must be carried to the leaves, and the food manu- factured in the leaves must be carried to regions of growth and storage. This business of transportation is provided for by specially organized vessels known collectively as mestome. If a complex body is to maintain its form, and especially if it is to stand upright and become large, it must develop BOTANY. structures rigid enough to furnish mechanical support. All such tissues are collectively known as stereome. Ferns and seed- bearing plants are mostly made up of living and working parenchyma, which is traversed by mechanical mestome and stereome. The two principal kinds of stereome are coUenchyma and sclerenchyma, meaning "sheath-tissue" and "hard tissue" respectively. In coUenchyma the cells are thick- ened at the angles and have very elastic walls, making a tissue well adapted for parts which are growing in length. The chief mechanical tissue for parts which have stopped growing in length is sclerenchyma. The cells are thick - walled, usually elongated, and with tapering ends. The so-called "fibers" come under this head. The mestome or vascular tissues are of two prominent kinds, the tracheary vessels for water conduction, and the sieve vessels, for conduction of organized food. The tracheary vessels are cells with heavy walls and usually large diameter. The thickening of the walls is not uni- form, giving them -a very characteristic appearance, the thickening taking the form of spiral bands, rings or reticu- lations. Often the reticulation has such close meshes that the cell- wall has the appearance of being covered with thin spots, and such cells are called "pitted vessels." The spiral and ringed vessels are usually much smaller in diameter than the pitted ones. The true tracheary cells are more or less elongated and without tapering ends, fitting end to end and forming a continuous longitudinal series, suggesting a trachea, and hence the name. The water absorbed by the roots of a plant ascends through the tracheary vessels. Sieve vessels are so named because in their walls special areas are organized which are perforated like the 8 BOTANY. lid of a pepper box or a ''sieve." These perforated areas are the sieve-plates, and through them the vessels com- municate with each other and with the adjacent tissue. The food elaborated in the leaves is conveyed to the grow- ing parts of the plant by the sieve vessels. ROOTS. Root-Structure.- It is necessary to carefully dis- tinguish between true roots like those of the corn and bean and the very simple, hair-like structures ( rhizoids, ri'-zoids) which perform the root functions for the lower plants, hke the algae, fungi and mosses. Old roots are often confusing because they partake very much of the nature of stems, which will be discussed later. A cross -section of a young root under the com- pound microscope, reveals three characteristic regions, namely, (1) an outer layer, the epidermis; (2) a thick, cellular cortex; and (3) a central, woody axis or cylin- der, (sometimes called the stele), perforated by many tubes or ducts, which are continuous with the ducts of the stem and leaves. These ducts are near the outer edge of the woody axis near the cortex, where they can the more readily receive the moisture absorbed from the soil. The tender growing tip of the rootlet is protected from injury as it forces its way through the soil, by a loose coating of epidermal cells called the root-cap. If the finger be supposed to represent the root, a short finger- stall, if it were attached to the tip of the finger, might be fairly taken to represent the root-cap. Only in rare cases is the root- cap entirely wanting. Serving to protect the tenderer portion of the root behind, the root-cap is itself constantly exposed to injury. The outer and older parts are therefore, either worn away through mechanical con- tact, or dying, they degenerate and break down into a BOTANY. slightly mucilaginous material which facilitates th« pas- sage of the root through the soil. This degeneration or mechanical wear is constantly repaired within at the grow- ing point of the root. The thickness of the root- cap is thus maintained throughout its existence without much change. On the parts of the root back of the tip the epi- dermis sometimes sloughs off entirely, exposing the cells of the cortex itself, as in the grasses, hlies and sedges; or, more commonly, only the outer layer sloughs off, leaving the innermost portion as a covering of the cortex. It is too delicate to be distinguished by the unaided eye, except at the tip and further back where it produces root-hairs. If we examine the roots of some seedhngs ger- minated on blotting paper, we shall find just back of the tip a fine fuzz. Under a compound microscope this fuzz is seen to consist of numerous slender hollow bodies called root-hairs. Each root-hair is a complete plant-cell, a modification or extension of one of the superficial cells of the cortex or epidermis, as the finger of a glove is the ex- tension of the palm. Only one root hair arises from a superficial cell. They are usually unbranched and without transverse partitions. In rare cases they are wanting. They live for a shorter or longer time but are always, as compared with the duration of the root, quite transient. The older part of the root therefore, is without root-hairs because of their death. The youngest part of the root is Ukewise free from them because they have not yet been produced. As the root grows in length, new root-hairs are continually being produced, and the older ones are dying at an equal rate, so that a zone of hairs is found only upon the younger parts of the roots. Each root-hair pos- sesses a thin wall of woody material (cellulose, sel'-u-los) 10 BOTANY. enclosing a mass of jelly-like substance called protoplasm. This protoplasm does not occupy the whole of the cell cavity but lines the walls, leaving a space within, which is filled with a watery fluid called cell sap. Root Pressure.— As a dilute solution will diffuse through a membrane into a stronger solution more rapidly than the stronger can diffuse in the opposite direction, so the water in the soil, which is a dilute solution of mineral salts, will diffuse through the protoplasmic membrane of root-hairs into the stronger solution of cell sap. This pro- cess, by means of which the water gets into the root-hairs, is called osmose, (oz'-mos). The excess of water within the cell causes it to become turgiij like an inflated football. The addition of so much water to the cell sap of the root hairs causes it to be more dilute than that of the adjoining cells, so some of the water is passed on by osmose to the next cell of the cortex. This continues until the water reaches the duct traversing the root and ascending the stem. -The turgor produced in the root by osmose pro- duces a pressure (root-pressure) sufficient to force the sap to a great height. Experiment has shown that this root pressure alone in some trees is sufficient to raise the sap over eighty feet. That this pressure exists can easily be shown by cutting off the trunk of an actively growing tree. The sap will be forced up and will ooze out of the top of the stump. In small plants root-pressure is prob- ably great enough to force the sap to the leaves but in the larger plants and most trees it is probably not sufficient. Other forces not thoroughly understood are thought to as- sist in this work. The cortex generally consists of large thin- walled cells which have become partially separated from one another, leaving lai^r or smaller intercellular spaces. n BOTANY. The stele, or central axis of the root, is an aggregate of tissues composed of elongated or fused cells Cvascular strands). These strands are of two kinds, wood strands or tracheary tissue for the conduction of water, and bast strands or sieve tissue for carrying foods. They are so placed that they alternate with each other about the outer part of the stele. The strands may be in contact with one another in the center, forming what may be called a ra- diate bundle, or the center of the stele may be oc- cupied by pith, parenchyma tissue. The number of vas- cular strands constituting the stele is various, being as few as four or as many as forty. The ordinary number, how- ever, is from eight to twenty. Root Growth. — If the root of a germinating seedling be marked by a series of dots placed equidistant through- out its length, and then allowed to grow some more, it will be found that the dots just back of the tip grow away from each other more rapidly than those elsewhere, show- ing that the region of most rapid elongation is just behind the tip. The part of the root near the seed grows mainly in thickness. In like manner it can be shown that the part of the stem which elongates most rapidly is near the tip. Secondary Changes in Roots. — Shortly after any portion of the root ceases to increase in length it under- goes minor changes in structure. The external layer of cells generally sloughs off carrying with it the root-hairs and exposing the next inner layer of cells. This layer be- comes shghtly altered so as to be rather impervious to water and incapable of absorbing water from the soil. It follows from this that only the younger part of the root, that is, the portion which has not undergone secondary changes, is capable of absorbing water. In some 12 BOTANY. roots the secondary changes result in increasing the diameter sometimes very greatly, by the formation of concentric layers of new tissue in two or more regions called the cambiuin regions. The outer growing layer, or cork cambium, usually formed in the cortex produces tissues of such a na- ture as to protect the parts within. They constitute the peridermi, and are ordinarily cork-hke, i. e., thin walled and impervious to water. Those cells which he outside the layer of cork are therefore cut off from a supply of food and soon perish. The inner growing layer, stelar cambium, is de- veloped within the stele and follows a tortuous course lying outside the wood strands and inside the blast strands. The new tissues produced are similar to those already existing in the stele. If mechanical tissues are largely produced a woody root results, which, if long lived, shows in the stele concentric rings indicating yearly additions. As the root thickens the outside parts become fissured lengthwise. Thus in an old and large root of the woody type, all the parts outside the central wood constitute a bark which becomes furrowed lengthwise, like the bark of the trunks of many trees. Such secondary thickening finally pro- duces in the roots a structure which is almost identical with that of Stems which have undergone secondary thickening. If the new tissues produced by secondary changes are chiefly thin- walled cells, the root often becomes very thick and fleshy, as in the carrot, turnip, radish, sweet po- tato, beet, dalhUa, artichoke, etc. Such roots serve the plant as store houses of reserve food, and are consequently useful to animals as food. 13 BOTANY. Branching of Roots.— When a root produces a branch, in the great majority of cases the origin of the branch is in the stele. The growth begins very near the surface of the stele. Soon a growing point is formed, in its early stage completely hidden by the cortex, through which it gradually makes its way, partly disorganizing the tissues by pressure, and, probably, partly by actually di- gesting and absorbing the material of these cells. When it reaches the surface it emerges from a distinct rift in the cortex. If the cortex of a root is stripped off the branches do not come off with it but remain attached to the stele and leave the holes in the cortex through which they pro- truded. New leafy shoots may be produced by roots either normally or as a result of injuries. In a partially developed form these constitute buds. They arise in the same places and develop in the same way as root branches; that is, they originate in the stele, and, as they continue to grow, burst through the cortex. The shoots so produced grow in a normal manner. Very rarely the growing point of the root, casting off the root-cap, becomes itself the grow- ing point of the shoot. This alteration is usually the result of artificial reversal of the position of the root, being brought about in some potted plants by turning them up- side down. Root-Properties. — If grains of wheat, corn, beans, etc., be placed in various positions between vertical panes of glass and kept moist until they germinate, it will be found that the radicles, no matter in which direction they point when emerging from the seed, will turn around and grow downward. After they have got a good start, turn the panes upside down so that the radicles will all point upward. After a few hours the tips will begin to 14 BOTAlSrg. turn over and eventually will grow downward again. It cannot be the light which causes this, as the same results will be obtained when the experiment is performed in complete darkness. The attraction of the earth, or gravity, is apparently the cause of this phenomenon, and hence the influence of this force upon the plant is called geotropism (je-ot'-ro-pism) from two Greek words meaning earth -turning. When the plumule appears it will turn upward. Here also the stimulus seems to be the force of gravity. The same influence is apparent in the vertical growth of tree trunks on a hillside and the up- ward growth of stems which have been trampled to the ground. Growth toward the earth is sometimes called progeotropism to distinguish it from growth away from the earth, apogeotropism or negative geotropism. The lateral growth of secondary root is called diageot- ropism. If the tip of the radicle be cut off the root is no longer geotropio and will not turn downward when placed in an inverted or horizontal position, showing that, while the motor zone lies back of the root tip, it is the tip which receives the stimulus and is the receptive zone. Place a few germinating seedlings inside a small roll of wire netting with some moist sawdust, and let the radicles protrude through the meshes and dangle down- ward in the air. Suspend the roll in an inclined position. In about twenty four hours the root tips will turn toward the moist sawdust and eventually will grow along the edge of the sawdust. This reaction of the root to moisture is called hydrotropism (hi-drot'-ro-pism). Sometimes roots of trees are so strongly influenced by moisture that they wiU depart from the usual direction of growth and seek the source of water supply. BOTANY. Another interesting root property may be noted in this connection. When a strawberry runner strikes root at the tip, the roots, after they obtain anchorage in the soil, pull the tip a little beneath the surface, as if they had gripped the soil and then shghtly contracted. The sa^me thing may be observed in the process known as "layering" by which a stem, as a bramble, is bent down and covered with soil. The covered joints strike root and the pulling follows. A very plain illustration of the same fact can be obtained from many crevice plants. These plants send their root systems into crevices of rocks, and spread a little rosette of leaves against the rock face. In the next year a new rosette of leaves, developed further up the stem is also found against the rock face. It is evi- dent that the stem has been pulled back into the crevice enough to bring the new leaves against the rock, and this pulling has been effected by the new roots, which have laid hold of the crevice soil or waUs. Water Roots. — Stagnant water generally be- comes covered with tiny, green, disk-like plants (the common Duck Weeds) which float about dangling from the under surface clusters of whitish thread-Hke roots. These are typical water roots. If the level of the water sinks so as to bring the tips of the roots to the mucky soil they usually do not penetrate and become soil roots. Some- times plants which ordinarily develop soil roots, if brought into proper water relations, will develop water roots. Willows and other stream bank plants show this charac- teristic. In such cases the numerous clustered roots show their water character. Often root systems developing in the soil enter drain pipes and develop water roots in such abundance as to choke the drain. When a Hayacinth bulb 16 is grown in a vessel of water, this cliaracteristic bunching of water roots may be seen. Some plants growing in water or in very wet swamps sometimes modify their roots to serve as floats. In these cases, the voluminous cortex consists of large cells, with huge intercellular spaces which are filled with air. The root thus serves to buoy up the parts of the plant to which it is attached and to assist in its respiration. Such roots may be called float-roots. Air Roots.— In tropical regions where the air is very moist many plants develop numerous roots which dangle in the air and absorb moisture. In the Orchids there is usually a mass of sponge -like absorbent tissue about the roots known as the velamen (ve-la'-men). Examples of aerial plants, or Epiphytes, are some of the Orchids, the Stag Horn Fern of our greenhouses and the Black Moss growing upon the Live Oaks of the Gulf States. Clinging Roots.— Ivies, the Trumpet Creeper and many other climbing vines develop roots which do no work of absorption, but simply serve to fasten the plant body to some support by sending tiny tendril-^hke branches into crevices of walls or tree trunks. Many sea weeds are anchored to rocks by grasping structures or hold- fasts. Prop Roots. — In swampy ground or where a tree has a poorly developed primary root system trees often put out roots from the trunk, or branches, which serve as props for the tree. The Screw-Pine, often seen in greehouses, puts out prop roots near the base of the trunk. The wide -spreading branches of the Banyan tree are supported by numerous prop roots. One of these trees in Ceylon is recorded as having 360 large and 3000 small 17 BOTANY. prop roots, and covering an area large enough for a vil- lage of 100 huts. Roots of Parasites. — ^A parasite sends processes into the body of another hving plant (the host) to get its food supply. Such absorbing organs are called haustoria. The common Mistletoe and Dodder are good examples of seed-bearing parasites. Forms of Roots.— We found that in the bean there waa one main root which sent off many lateral branches. In the corn we found a primary root and several secondary roots. The secondary roots were not branches of the primary, but had a separate origin, and eventually were as large as, and indistinguishable from the primary. A root like that of the bean is a tap-root. The roots of the corn are fibrous. If the tap-root is much branched it is said to be ramous (ra'-mus). If the tap-root becomes thickened and fleshy, it may then be (1) Conical (kon'-i-kal) broad at top, tapering below. Ex. carrot. (2) Fusiform (fu'-si-form), spindle shaped. Ex. radish. (3) Napiform (na'- pi -form), turnip -shaped. Imagine the fibers of the fibrous form to become thickened and fleshy; we then have the following forms: (1) Fascicled (pron. fas'-si-k'ld), composed of a bundle of spindle-shaped roots. Ex. Dahlia. (2) Nodulous (pron. nod'-u-lus), composed of many fibers with scattered enlargements or knots. Ex. Spirea. (3) Moniliform (pron. mo-nir-i-form) having the enlargements at regular intervals, like the beads of a necklace. Ex. Toothwort. Specially Modified Roots.— In a very few plants aerial roots are modified into tendrils, being slender, sensitive to contact, clasping the objects which they BOTANY. touch, if of suitable size, and thus assisting the plant to climb. In some instances they are altered into thorns, being short, rigid, and sharp pointed. In others being ex- posed to light they develop chloroplasts, which enables them to act as organs for the manufacture of food. SHOOTS. Primary Shoot.— The first shoot that develops is called the primary shoot. The tip of the shoot is the region in which the formation of new cells is taking place. This region of young cells has no definite limit below, but passes insensibly into the older tissue, which it produces. The tip may have any shape from a sharp cone to a low dome. Close to the apex the shoot begins to show a dif- ferentiation into a central axis and lateral outgrowths. The first of these are swellings which form leaves. Later above the leaf rudiments, the rudiments of the lateral shoots may appear. The older leaves upon the sides of the axis outgrow the younger ones and the developing axis, and arch over them in such a way as to form a more or less compact structure, which constitutes a terminal bud. A bud, then may be defined as an undeveloped shoot, whose older leaves protect the younger and particularly the youngest region, the apex. From the terminal bud arise all the members of the primary shoot. A shoot may be studied to the best advantage in the autumn. The shoots of the Horse -Chestnut or Buckeye have well developed buds, but almost any tree will furnish good material for study. In the autumn the buds which are to develop into the next seasons leafy shoots or flower axes are fully formed. If one picks to pieces a terminal bud he will find that it is composed of hard scales (modi- fied leaves) overlapping and arching over the tender green leaves and growing apex in the center. Often there 10 BOTANY. is an abundance of wooly hairs surrounding the central portion and the whole bud may be coated over with a resinous substance. The wooly coat serves to prevent the radiation of heat and thus the growing apex escapes being chilled and destroyed in cold weather. The resinous coating renders the bud impervious to rain. Within these pro- tective coverings well formed foliage leaves are often found or even an entire cluster of flower buds. In some plants the scaly covering is entirely absent and the buds are said to be naked. If the bud contains foliage leaves only it is a leaf -bud; if flowers only, it is a flower-bud; if both leaves and flowers, it is a mixed bud. When a scaly bud develops into a shoot the scales fall off leaving scars where they were attached to the stem. As these scars are grouped into a ring surrounding the stem they may be designated as ring-scars. The ring soars are persistent for a long time and as there is only one terminal bud and hence one ring- scar formed on a shoot each season the age of a particular shoot or portion of a shoot may be determined by counting the ring- scars. The lateral buds can also be observed in these autumn twigs. They occur generally just above the leaf scars and are largest near the tip of the shoot. Differences Between a Shoot and a Koot.— The shoot is distinguished from the root by the absence of a protecting root- cap in front of the growing apex, and by having an uninterrupted epidermis over its entire surface, consisting always at first of a single layer of cells. This epidermis persists as a surface covering either throughout the hfe of the shoot, or for a long period, being replaced only upon older surfaces of the stem by subsequently formed protective layers. 20 BOTANY. Branching. — Branches of a shoot arise from lateral buds, which are in all respects like the terminal buds. If, for any reason, the terminal bud of the stem is destroyed, or its growth arrested, a branch, developing from a lateral bud near by, may assume the position and habit of the main axis. In many plants the death or arrest of the ter- minal bud occurs at regular intervals. In such plants the main axis is really a succession of lateral branches, i. e., the branching is sympodial. (Ex. Linden.) In the lilac two lateral buds standing at the same level develop, if the terminal one fails. In this case the shoot divides into two equal branches, i. e., the branching is dichotomous. Ordinarily, however, the terminal bud develops with- out interruption. In case it is more vigorous than any of the lateral buds, the plant will have a central axis, from the sides of which distinctly smaller branches arise. This method obtains in the Spruces, Oaks and Poplars and the name excurrent is sometimes used to describe it. If the lateral buds are almost or quite as strong as the central one, the plant seems to be broken up into branches and after it has attained its mature form, no one can be pointed out as the main axis. This is illustrated in the Elms, Maples, etc., and the name deliquescent is sometimes apphed to this method of branching. Both the excurrent and deliquescent methods may be designated as monopo- dial. Lateral Buds.— Lateral buds are ordinarily formed in the upper angle made by the leaf with the stem. The angle is the axil of the leaf and such buds are said to be axillary. There are many cases in which buds are not found precisely in the axils of the leaves, but slightly to one side, or at a greater or less distance above the axil. 21 BOTANY. Often several buds are found in the axil of a leaf. Such buds are said to be accessory. Sometimes buds are formed without any relation whatever to the leaf -axil, even o^n the leaf itself. They may occur normally but more commonly are produced as a result of an injury of some sort. Buds of this kind are known as adventitious buds. They may arise upon stems, leaves or roots. Many buds continue to develop without interruption from the time of their formation, but more of them cease to grow after reaching a certain stage. Such buds are said to be dormant, and they may remain so for a long time, and may even be overgrown and completely en- closed by the wood of old shoots. This is the reason why new shoots often spring in abundance from the trunk of a tree when the upper part has been injured. Specially Modified Shoots. — The primary shoot may grow underground, in which case its stem usually takes a horizontal direction and becomes thickened for storage of reserve food, while its leaves are so reduced as to be scarcely recognizable. Such a shoot is a rhizome, or if long and slender, a creeper. When the primary stem is short, erect, and crowded with thick leaf bases it forms a hulb, as in the hyacinth and onion. If the leaves form concentric coatings as in the onion it is a tunicate d bulb; otherwise it is a scaly bulb. When the primary stem is short and thick and has thin scale leaves upon it, it is called a conn, or solid bulb, as in the Cyclamen and Indian Turnip. SPECIALIZED BRANCHES. Dwarf Branches are often developed with the ca- pacity for being easily separated from the parent shoot. Such short branches are common among cone-bearing trees where thej carry the clusters of needle leaves. 22 BOTANY. After the death of the leaves the branches themselves drop off. Similar branches are found upon many deciduous trees, for instance the so-called "fruit spurs" of the apple tree. Flowers are specialized branches with short axis and crowded leaves. The flower branches are commonly short lived and drop off with the fruit or earlier. Leaf -like braoclies replace leaves in functions and resemble them in form on some plants. These branches are either broad and flattened as in the Smilax of the greenhouses, or slender and needle -like, as in the common garden asparagus. In the latter plant the leaves are minute scales from the axils of which the green Jpaf-like branches arise. . The cactus plants are speciailly adapted to withstand dry weather by the development of the stem into a reser- voir of water and the reduction of leaves into spines. The common prickly-pear cactus has the stem composed of flattened fleshy leaf -like joints; the giant cactus, of fluted cylindrical columns; and the melon cactus of a compact spherical body capable of withstanding the greatest ex- tremes of drought. Bulblets are undeveloped buds with thick and fleshy leaves. These bulblets are found in the axils of the leaves of the Tiger-Lily, and in the common garden onion where they replace the flowers. They are easily detached and serve for propagation. Tubers are underground shoots, the ends of which are greatlj^ enlarged, adapting them to the storage of food. In the common potato the tuber consists of several termi- nal intemodes of an underground shoot, the "eyes" being lateral buds in the axils of minute scale leaves. In one BOTANY. species of Polygonum some of the flower branches are modified into tubers. Some kinds of tendrils are specialized branches. This is the case in the White Bryony. Thorns are sometimes modified branches. In the Honey-Locust the thorns are branched. Leaves may be developed as tendrils or thorns but the origin and relation of members will reveal their true na- ture. If they are shoots they will usually be found in the axil of a leaf; if they are leaves they will often have a bud in their axils. Thorns and tendrils which do not arise at the nodes of a stem are regarded as shoots. Often plants grown in dry regions adapt themselves to these conditions by becoming stunted or by developing thorny branches instead of leafy branches thus greatly re- ducing the amount of surface exposed to the atmosphere and providing at the same time protection from ravaging animals. In many cases such spiny branches can be made to develop into ordinary branches with leaves in the pres- ence of favorable water conditions. 24 BOTANY. OUTLINE QUIZZES. (FIRST PAPER.) 1. What is Botany? Define the different divisions of Botany. 2. Describe a bean seed and tell what each part de- velops into when the seed germinates. 3. Compare the corn seed and its germination with the bean seed. 4. What divisions of the seed plants based upon the number of seed-leaves can we make? 5. Define the terms plant body, members, cell, protoplasm, cytoplasm, nucleus, nucleolus, plas- tids. 6. What do you understand by nutritive cells, re- productive cells, tissue, parenchyma, meristem? 7. What is mestome, stereome, collenfthyma, sclerenchyma, tracheary tissue, sieve tissue ? 8. Describe the structure of the root. What is the root-cap, epidermis, cortex, stele ? 9. Describe the root-hairs and give their function. Explain fuUy how root-pressure is produced. 10. How could you ascertain which portion of a young root elongates most rapidly? 11. How do old roots come to resemble stems in structure? 12. How do branches arise on roots? 13. Explain what is meant by geotropism, hy- drotropism. 14. What are water-roots, air-roots, prop roots? 15. Classify roots as to form. 16. Describe a shoot, bud, ring-scar. 17. What is the difference between a shoot and a root? 18. Describe three methods of branching of shoots. 19. What is a terminal bud; lateral, axillary, ac- cessory, adventitious, dormant bud? 20. Define a rhizome, creeper, bulb, corm, bulblet, tuber. 21. How can you tell whether tendrils and thorns are speciaMzed leaves or shoots? 25 ZOOLOGY. ( FIRST PAPER. ) The word Zoon from tlie Greek, meaning an animal, suggests that this branch of Biology is the study of the animal kingdom. All that has been learned under the cap- tion of Physiology applies equally to Zoology. The same also is true in treating in the lower forms of plant life in Botany, i. e., the unicellular plants. The most primitive forms of animal life and those of the vegetable, where they both are simply protoplasmic, are practically identical in their hfe histories. Some marked differences characterize the two, however, as in the power that an anima^has in taking its food into its body in a soUd form, selecting the nutritive portion, and digesting it, the useless portion be- ing rejected; while in a plant it must first be prepared into a Uquid condition, before it can be absorbed, or be of any value as a food. All animal food is originally supplied by the vegetable kingdom; while that of the plant is in turn obtained from the' inorganic, or mineral world. " In the study of any of the Natural Sciences, and in this subject particularly, the g-reatest and most lasting- knowl- edge in it cannot be gained by learning a set of facts in the abstract. By personal observation, only, can it become a part of the student and prove of any real satisfaction. To this end it is strong-ly urged that some individual observa- tions be made. It is suggested that a small text book on Practical Zoology be obtained and used as a guide with this study." The geographical distribution of animals into localities, or areas, is called the fauna of that country. Paleontology, or the study of fossil remains, tells us much of the early history of organic life on the earth's sur- face, many animals having existed which are now extinct. Ecology treats of animals in their life relations, the effect of their environment upon them, their adaptations to their surroundings, etc. Systematic classification is one of the objects of scien- tific animal study, i. e., the placing of those who have marked features in common into the same group. The animal kingdom is thus divided into eight branches. Of these the Protozoa (primitive animals) forms the first branch. Metazoa is a term applied to aU animals composed of more than one cell, and includes the other seven branches. The Branches in ascending order, with examples, are: 1. Protozoa, Amoeba, Monad, etc. 2. Porifera, Sponges. 3. Coelenterata, Hydra, Jelly Fish. 4. Vermes, Worms. 6. Echinodermata, Crinoids, Star Fish. 6. MoUuska, Clams, Snails, Cuttles. 7. Arthropoda, Crustaceans, Insects. 8. Vertebrata,' Ascidians, Reptiles, Fishes, Birds, Mammals. These branches are again divided and subdivided into smaller and smaller groups until we get down to the in- dividual. For instance an individual Angora cat is placed along with fishes, reptiles, birds and mammals in the Branch, Vertebrata, because it has in common with these animals a back-bone. But it is very different from a fish, reptile or bird, so it is put into a sub-group, or Class, Mammalia, along with other animals which are covered with hair, bear their young aMve and suckle their young. Because it is flesh- eating and has it organs es- pecially adapted for securing and devouring such food it is put in the Order, Carnivora, along with the lion, tiger, bear, fox, dog, etc. Again the lions, tigers, cats, panthers, etc., are grouped into one Family, the Felidae. All cats are included under the Genus, Felis. All house cats belong to the Species, Domesticus. All Angora cats are grouped under the "Variety, Angorensis. If then we wish to classify an Angora cat we must give the group and sub-groups to which it belongs as follows; 1. Branch., Vertebrata. 2. Class, Mammalia. 3. Order, Carnivora. 4. Family, Fehdae. 5. Genus, Felis. 6. Species, Felis domesticus. 7. Variety, Angorensis. 8. Individual, a single Angora cat. In taking up the study of zoology we shall take a typical representative of each class for the details of structure and compare other forms with this typ^. THE AMOEBA. This animal has been selected not only because it is a type of the Protozoa, but because it is an animal cell in its most primitive form and as such is a representative of the animal cell, the unit of structure of all animals no mat- ter how complex. This primitive animal cell is found in the slime and sediment at the bottom of stagnant pools and consists of a small mass of a viscid, nearly colorless substance called protoplasm. This protoplasm is dif- ferentiated to form two parts or regions of the cell, an inner denser mass called nucleus, and an outer, clearer, inclosing mass called the cytoplasm. The nucleus is surrounded by a thin protoplasmic membrane called the nuclear membrane. In the nucleus there appear to be fine threads or rods which are evidently different from the rest of the unclear protoplasm. These are called chro- mosomes or cliromatln tlireads. The protoplasm, which is the essential substance of the cell and hence of the whole animal body, is a sub- stance of a very complex chemical and physical constitu- tion. Its chemical structure is so complex that no chemist has ever been able to analyze it, and the further the at- tempts to analyze it are carried the more baflling the sub- stance is found to be, and it is probable that it never will be analyzed. The most important thing we know about the chemical composition of protoplasm is that there are always present in it certain complex albuminous sub- stances which are never found in inorganic bodies. It is on the presence of these albuminous substances that the power of performing the processes of hfe depends. The physical structure of protoplasm has been much studied, but even with the most improved and powerful microscopes naturalists are very far from understanding the physical constitution of the substance. While the ap- pearance of the substance is pretty well agreed upon the actual structure indicated by this appearance is not aU agreed upon. Protoplasm appears, when highly magnified, as a mesh work composed of fine granules suspended in a clearer substance, the spaces of the mesh work being com- posed of a third stiU clearer substance. Some naturaUsts believe that this appearance means that protoplasm is composed of a clear viscous substance in which are im- bedded many fine granules of a denser substance, and numerous large globules of a clearer, more liquid sub- stance. Others believe that the fine spots which appear to be granules are simply cross sections of very fine threads of dense protoplasm which lie coiled and tangled in the thinner, clearer protoplasm. Still others believe that protoplasm exists as a microscopic foam work; that it is a viscous Uquid containing many fine globules ( the granule appearing spots ) of a liquid of dif- ferent density and numerous larger globules of a liquid of still other density. It is a foam in which the bubbles are not filled with air, but with hquids of different density. This last theory is the one accepted by the majority of modern naturalists. In fact, Butschli, an eminent German biologist has succeeded in making drops of a substance closely resembhng the protoplasmic structure, from drops of olive oil. Under certain conditions the olive oil absorbs very fine particles of water to such an extent that the whole mass consits of numerous microscopic bubbles or drops of water surrounded and separated from each other by films of the oil, that is, a microscopic foam is produced which under a microscope has a structure closely resemb- hng that of protoplasm. The outhne or shape of the Amoeba is slowly but con- stantly changing. The animal may contract to a tiny ball; it may become almost star- shaped; it may become elongate or flattened; short, blunt, finger-hke projections called pseudopods (false feet) extend from the central body mass, and these projections are constantly changing, slowly pushing out or drawing in. There seems to be no cell waU, unless a region of clearer protoplasm ( ectosarc ) surrounding the central granular portion (endosarc ) may be called by that name. If an amoeba be closely watched it may be seen to change its position. Without legs, wings, scales or hooks — that is, with no special organs of locomotion— the amoeba moves. There are no muscles, for muscles are composed of many contractile cells massed together, and the amoeba is but one cell. It is a contractile ceU; it can do what the muscles of complex animals can do. If any part of the body of an amoeba cames in contact with some other microseopio animal or plant or a small fragment of some larger form, the soft body of the amoeba will press against it and soon the particle becomes sunken in the protoplasm and entirely enclosed by it. The par- ticle thus absorbed soon disappears entirely or in part; it is digested. Such food particles as cannot be digested are thrust from the body. Without mouth or stomach the amoeba eats and digests food. This method of nutrition is said to be holozoic. If an amoeba is left too long in a drop of water under a cover glass without access of air, it dies. It absorbs oxygen from the water through any part of the surface of its body and gives off from any part carbon -dioxide gas. When the oxygen in the water is all absorbed it will die of suffocation just as surely as a fish in too small a quantitj^ of water will die. Without lungs or gills or other special organs of respiration the amoeba breathes. If an amoeba be examined intently for some time a round clear space about as large as the nucleus will be seen to appear in the ectosarc and disappear at quite regu- lar intervals. This is called the contractile vacuole and is thought to be simply a cavity filled with water. By its contractions it serves to keep up a sort of circulation which helps to distribute absorbed oxygen and digested food throughout the protoplasmic mass, or perhaps to eject waste matter from the body. In this capacity it may be considered as a very simple form of kidney. If, in moving about, the amoeba comes in contact with a sand grain, or other foreign particle not suitable for food, it slowly recoils and moves to one side of the particle. It has received a mechanical stimulus and has responded. It wiU also respond to other mechanical stimuli, chemical 6 stimuli, or changes of temperature, just as a fish or frog will respond to a touch of the hand. Without a nervous system, the amoeba shows irritabiUty, which is the simplest form of sensation. If food is abundant the amoeba grows rapidly, until it reaches a certain size, which seems to be a fixed hmit for certain species of amoebas. No amoeba becomes large. As soon as the limit in size is reached it becomes quiescent for a while and then begins to divide itself into two equal parts. The nucleus divides first, forming two daughter nuclei. These move apart and the cytoplasm becomes con- structed and finally divided, so as to produce two complete amoebae hke the parent, except that they are onlv half as large. Each of the young amoebae now proceeds to move about in search of food, to eat, to grow and divide, as the parent did before it. This is reproduction by binary fission. When conditions begin to grow .unfavorable to the activity of the amoeba, as, for instance, the pond dries up or cold weather comes on, the amoeba contracts to a spher- ical form and secretes about itself a thick, horny wall, im- pervious to water, and in this state (the encysted state) can survive great extremes of cold or drouth, and may be transported by the wind. Under other conditions, after the process of fission has proceeded for a certain length of time and a great many individuals have been produced, two amoebae may unite to form one. A conjugation of this kind has been observed in the amoeba, but has been more thoroughly studied in other forms. HAEMATOCOCCUS. Rain-water which collects in puddles is frequently found to have a green color; this color is due to the pres- ence of various orjjgaiiisms— plants or animals- f>n© of the commonest of wMch is Haematococcus (or as it is sometimes called, Protococcus. ) Like Amoeba, Hae- matococcus is so small as to require a Mgli power for its examination. Magnified three or four hundred diameters it has the appearance of an ovoidal body, somewhat pointed at one end, and of a bright green color, more or less flecked with equally bright red. Like Amoeba, it is in constant movement, but the character of the movement is very dif- ferent in the two cases. Haematococcus swims by means of two excessively dehcate, colorless protoplasmic threads projecting from the pointed end of the body. These threads are about half as long again as the animalcule and and are called flagella, on account of their lash-like char- acter. The animalcule moves pointed end formost, that is, the flagella are in front of it as it swims, instead of behind it. Moreover, it rotates on its longer axis as it swims. The green color of the body is due to the presence of a special pigment called cliloropliyll, the same substance found in green leaves. The red color is due to the presence of a coloring matter closely alhed in its properties to chlorophyll and called haematoclirome. At first sight the chlorophyll appears to be evenly distributed over the whole body, but accurate examination under a high power shows it to be lodged in a variable number of irregular structures called chroniatopliores, which together form a layer immediately beneath the surface. Each chromato- phore consists of a protoplasmic substance impregnated with chlorophyll. If the coloring matter be dissolved out of the body of the animalcule by means of alcohol, a nucleus may be made out, hke the nucleus of Amoeba. Other bodies which might easily be mistaken for nuclei are also visible in the hving organism. These are small ovoidal struct- 8 ures with clearly defined outlines occurring in varying numbers in the chromatophores. Iodine stains these bodies a dark blue showing that they are composed of starch, or rather they are composed of a proteid substance covered with a layer of starch. These bodies are called pyrenoids. Careful examination shows that surrounding the body of the animalcule there is an extremely thin, globular shell composed of some colorless, transparent materialj and separated from the body by a space containing water. Delicate, radiating strands of protoplasm connect this sheU to the body. It is perforated by two extremely minute apertures for the passage of the flagella. This shell resembles the cell wall of an encysted amoeba%but is composed of a substance of entirely different chemical composition. The cyst of Amoeba is composed of a ni- trogenous, horny material, while this ceU waUof Haemato- coccus is composed of a carbohydrate called cellulose, allied in composition to starch and sugar. Many vegetable substances, such as cotton, consist of cellulose, -and wood is a modification of the same compound. Under certain conditions Haematococcus loses its flagella and becomes covered with a thick wall or cyst of cellulose. Haematococcus has no pseudopodia and therefore can- not take in solid food after the manner of Amoeba. More- over, even in its active condition, it is usually surrounded by an imperforate cell- wall, which of course precludes all possibility of ingesting food particles. It has never been seen to feed in the ordinary sense of the word. Neverthe- less it must take in food in some way or other or it could not live. The rain-water in which it hves is never pure water, but contains certain mineral salts in solution, 9 ZOOLOGY. especially nitrates, ammonia salts and often sodium chlo- ride. These salts diffuse through the body wall into the water of organization of the animalcule. This method of nutrition is said to be holophytic. If water containing a large quantity of Haematococcus is exposed to sunlight, minute bubbles of oxygen appear in it. Accurate chemical tests have shown that this oxygen is produced by the decomposition of the carbon dioxide contained in solution in the rain water. The car- bon from the carbon- dioxide is retained by the organism and built up into some simple form of carbohydrate which goes through compHcated chemical changes until finally living protoplasm is produced. Now to express this matter of taking food in a few words: Amoeba can only make protoplasm out of pro- teids already formed by some other organism. Haemato- coccus can form it out of simple hquid and gaseous inor- ganic materials. These two methods of nutrition (holozoic and holophytic) are respectively characteristic of the two great groups of living things. Animals require soHd food containing ready-made proteids, and cannot build up their protoplasm out of simpler compounds. Green plants take only hquid and gaseous food, and build up their pro- toplasm out of carbon dioxide, water and mineral salts. It is important to note that only when chlorophyll is present is the latter method of nutrition possible and furthermore sunlight is necessary for the process. The Amoeba, and animals in general, require and de- rive their energy from the breaking down of the complex chemical compounds (proteids) which they take in as food. Haematococcus in common with other organisms contain- ing chlorophyll (plants in general) cannot get its energy from the simple chemical compounds which serve as its 10 food but must receive energy in the form of light or ra- diant energy directly from the sun. HETEROMITA. This is a tiny colorless organism sometimes found in infusions of organic matter. It is commonly called ' 'Spring - ing Monad" because of its peculiar, jerky motion. It is pear-shaped and has two flagella, one at the anterior tip and one underneath, just back of the tip. It feeds neither by taking sohd proteid food into the interior (holozoic nu- trition ) nor by decomposing carbon dioxide and combining the carbon with water and mineral salts (holophytic nutrition), but by absorbing decomposing proteids and other nutriment substances in the hquid form. This method of nutrition is called saprophytic. EUGLENA. This organism is found in stagnant water and imparts to it a uniform green color. Its body is spindle-shaped, with a flagellum at one end. Besides its rapid swimming movements it frequently performs slow movements of contraction and expansion, something hke those of a short worm. So characteristic are these movements of the animal that the term euglenoid is applied to them. The flagellum arises from the base of a little conical cavity and by its continual movement gives rise to a sort of whirlpool which sweeps minute, solid food particles down into the cavity and into the soft internal protoplasm. A green color (chlorophyll) tinges all the central part of the body. A few grains of paraniylum, a carbohydrate very closely resembling starch may be seen near the center. Water containing Euglena gives off bubbles of oxygen in the sunlight. Its nutrition is therefore partly holophytic and partly holozoic. These four organisms, Amoeba, Haematococcus, Heteromita and Euglena have been described to show how difficult it is to divide the lower forms of life into the two distinct groups of plants and animals. For instance Prof. Huxley considers Haematococcus as a plant and expresses doubts about Euglena; Mr. Saville Kent ranks Haemato- coccus as a plant and Euglena as an animal; Prof. Sachs places both in the vegetable kingdom; while Lankester and Biitschh group them both among animals. Heteromita is generally regarded as an animal although the Bacteria (which have all the properties in common with Heteromita except the presence of a ceU wall of cellulose and the absence of a contractile vacuole) are regarded as plants. If we attempt to define a plant as an organism whose protoplasm secrets cellulose and whose nutrition is holo- phytic or saprophytic in character, we find that there are organisms which partake partly of the plant and partly of the animal characteristics. Even such undoubted animals as the Sea Squirts are surrounded by a cellulose test. Euglena has both holophytic and holozoic nutrition. Heteromita has saprophytic nutrition but no cellulose wall. Bacteria have saprophytic nutrition and a cellulose wall. So we cannot draw any sharp line and place all animals on one side of it and all plants on the other side. OTHER PROTOZOANS. Foraminifera (foramen, a hole; ferro, to carry).— Related to the amoeba are the beautiful marine Globiger- inae and Radiolaria. Their simple one -celled body is sur- roimded by a microscopic shell which among the Globi- gerinae is generally made of hme (calcuim carbonate ), in the Radiolaria of silica. These minute shells present a great variety of shape and pattern, many being of most exquisite symmetry and beauty. The shells are usually ol2 ^OOI^ DIDACTIC8. had been searching for the - triith, and while some of them approached it, no one ever grasped and fully demonstrated it. Education had been merely a training for service to the state; man had been looked upon as belonging, soul and body, to society. Now all was changed, for with the com- ing of the Great Teacher came the first recognition of the full dignity and importance of the individual in a system of education. Prom now on a person might ber4ield accountable to the state in a physical sense, but his soul belonged to himself and with it he owed allegiance to God only. The advent of Christianity did yet more, it pro- claimed the equality of all men in the eyes of God and that the same destiny was f ojr all. Thus rich and poor stood on the same level and casste were practically made impossi- ble. Indeed, the influence of Christ upon education cannot be estimated. To enter into a discussion of His life and work is not our present purpose, but it may be said that not one of the ancient sages can be compared with Him. ' This great principle of individual or personal freedom did not, however, at first bear fruit in any system of educa- tion. Several reasons can be given for this. First, Chris- tianity addressed itself to barbarous peoples who could not attain at once intellectual and moral culture. Then, too, there was opposition to Christianity, and a bitter struggle was necessary to overcome the diflaculties in its way, so that little or no time was left for the study of education, and finally, owing to the mysterious tendencies of Chris- tianity, it was not thought suitable for a practical system of education. THE EABLY LEADERS. Of the men who made famous the beginning of Chris- tianity, only one need claim our attention in connection with education. The letters of St. Jerome on the educa- tion of girls are said to form the most valuable educational papers of the first centuries of Christianity. 18 DIDACTICS. OUTLINE QUIZZES. 1. Why should a teacher study the History of Educa- tion? 2. What was the underlying principle of Education in Eastern countries? In Western countries? 3. What forms the basis of Chinese Education? 4. What modem influences are now working in China? 5. What is meant by "caste system"? 6. In which nations did it prevail? 7. What effect did the Pantheistic religion have upon the youth? 8. What was the position of woman in Indian Educa- tion? 9. What were the duties of the Brahmans? 10. Who was Zoroaster? What did he do? 11. What was the chief characteristic of Persian Education? 12. Who were the "Magri"? What were their duties? 13. Why are the Jewish people of special interest to us? 14. In what country do we find a "priestly caste"? 16. Describe the Spartan system of Education. Who was the Spartan law giver? 16. Describe the Athenian system. Compare it with that of Sparta. 17. Who was Solon? What did he do? Who did the teaching in Athens? 18. Discuss briefly, Socrates, Plato, Aristotle. 19. How did the Roman system differ from the Grecian •yetem? 20. Describe briefly the school of Pythagoras. 19 f^ ALGEBRA. (FIRST PAPER.) "The true university of the day is a collection of good books, well read and carefully digested." HISTORY OF ALGEBRA. Algebra, that branch of mathematics in which quan- tities are represented by letters and numerals, and the relations and operations by signs, was introduced into Europe about 1100 by the Moors. The oldest known work on this science was written by Diophantus, a Greek mathematician of Alexandria, Egypt, about the fourth century of the Christian era. The knowl- edge of the science was confined to Italy for nearly three centuries before its introduction into Spain. Until early in the Sixteenth Centurj'- science was hmited to equations of the second degree. About 1545 "Ars Magna" was pub- lished by Jerome Cardan, who gave solutions of the third degree by what is known to mathematicians as the Formula of Cardan. He also invented the distinction between pos- itive, negative, and irrational solutions. About the same time the signs plus (+), minus ( — ), and the radical (i/), were invented by Stiefelius, a German, thereby rendering the formulae much simpler. In 1552 Robert Recorde first used the sign of equaUty (=) as it now exists, in a work called "The Whetstone of Witte." Rapid progress has been made since these dates in extend- ing the operations and applications of this science. The name. Algebra, is of Arabic origin, from Al- Jabr, meaning "the reduction," a noun derived from "Gabra or Jabara" signifying "to bind," hence, "the reducing of parts to a whole." AI^GIgBRA. HINTS TO STUDENTS. Mathematics is an exact science, hence, a student of any branch of this study should endeavor to obtain a thorough and exact knowledge of the principles involved in his work. In the following outhne be careful to master all definitions and rules which may be given you. Daily repetition in writing or orally until they become, as we may say, imbedded in the brain, will be an efficient mode of securing this result. In preparing work to be forwarded for inspection, be careful to separate each portion of the work clearly and distinctly from that which f oUows. In solutions of problems each separate step should be written below that which pre- cedes, leaving at the left a margin of about one inch. Problems should be separated from each other by one blank Hne, and the number of the problem should be placed in the marginal column. The work should be written in ink, DEFINITIONS OF TERMS. 1. Algebra is that branch of mathematics in which quantities are represented by letters and the operations performed by signs. These letters and signs are called symbols. It treats of the equation, and is chiefly occupied in ex- plaining its nature and the methods of transforming and re- ducing it, and in exhibiting the manner of using it as an instrument for mathematical investigation. Algebra is sometimes called the science of the Equa- tion (e-qua-shun). The whole province of the relations of quantity, continuous or discontinuous number, is covered by Algebra, so far as the equation can be made the instru- ment of investigation. Much, therefore, of what is found in our Arithmetic can be more expeditiously treated by Al- 2 gebra. Such are the subjects of Ratio, Proportion, the Progression, Percentage, Alligation, etc. It must be remembered that Mathematics is the science of quantity. Quantity is anything that can be measured. A measure of a quantity is a unit of that quantity, usually established by law,^at least by custom. Notation.— In Arithmetic, number-symbols repre- senting units of quantity are the Arabic numerals, 1, 2, 3, etc. In Algebra, letters of the alphabet, in addition to the figures of Arithmetic, are used to represent numbers; i. e., quantities in Algebra are expressed by letters « or by a combination of letters and figures; as, o, 6, 5a, Qo^ 7y, etc. Any values may be represented by the letters of the alphabet. They may not, and generally do not, have the same value in any two or more problems in the same exercise, but a letter should be imderstood to have the same value throughout a given problem. Usually the first letters of the alphabet are used to express known quantities, and the last letters those which are unJknown^ i. e., those whose values are to be found. Note.— Those hegianing this subject are generally bothered or con- cerned to know what the letters, as *, ^, etc., represent — they can not understand what they mean. If this troubles you do not worry about it; it will be perfectly plain to you after you have employed letters a few times in the solution of problems later on in the work. Keep this thought in mind,— the letters employed have no fixed numerical value of them- selves; any letter may represent any number, and the same letter may be used to represent different numbers at pleasure; however, the same letter must stand for the same number throughout the same problem. The terms used in Algebra have practically the same meaning as when they are employed in Arithmetic. The relations of quantities, and the operations to be performed, are expressed by the same signs as in Arithmetic. Plus (-I-), (Latin— more) is the sign of addition, and indicates that the quantities between which it is placed ar© 3 to be added. 4-|-5 is read 4 plus 5 and indicates that the number 5 is to be added to the number 4; a-\-b is read a plus 5— the number b is added to the number a. Minus (— ), (Latin— less) is the sign of subtraction, and signifies when placed between two quantities that the second is to be taken from the first. It is a substitute for the word subtract. 6 — 3 is read 6 mintis 3, and indicates that the number 3 is to be subtracted from the number 6; a—b is read a minus 5, and indicates that the number a is to be subtracted from the number d. An S- shaped symbol placed horizontally (^*— ^) is some- times used to signify the difference between two quantities. a ^— ^ b is read, the difference between a and b. This sign differs from the preceding in that it does not indicate which of the quantities is to be taken as the subtrahend, while the minus sign requires us to consider the quantity before which it is placed as the subtrahend. The sign of multipHcation, ordinarily used, is an inclined cross, thus, (X)» The multiplication of Uteral factors may be indicated by a dot, (.) placed between them, or by simply writing them consecutively. Mere contact indicates multi- cation; thus, ab means a multiphed by 6; it is read a times 6. Division of two quantities may be indicated in three ways; first, as a fraction, thus, -^^; second, thus, Or^b; third, thus, a/5. Each of the above is read a divided by 6. It is erroneous to read the first form, a over 6, as is often done. It should be noted that any of the above operations is algebraically complete when the two letters are con- nected by the proper sign; in the expression a+6, the addition of 6 to a is completed by connnecting 6 to a by means of the sign -f-j ^^^ tihe expression a-f-ft is the sum of a and 6; so it is in subtracting b from a, a — b is the dif ference between a and b, etc. AI^GBBRA. The sign of equality is made thus, (=), and is read equals or equal to. When placed between two quantities the entire expression is called an Equation. The terms at the left of the sign is called the first member of the equation, that upon the right is called the second member. Thus, a=b means that the quantity before the sign is equal to the quantity after it; it is read a equals 6, or a is equal to 6. The sign of inequality is made thus, (> or <), and is read greater than, or less than. The greater number is always to be placed in the opening, thus, 8>6, which is read eight is greater than five. A Residual is the expression of the difference of two quantities, as a — &. * A Reciprocal of a number is the expression of 1 divided by that number, as -i— Every numerical fraction whose numerator is 1 is the reciprocal of its denominator. A Coefficient shows how many times a number is taken as a part, and is always placed at the left. It may be either numeral or literal. If no Coefficient is written 1 is under- stood. Thus, in 3a, 3 is a numeral coefficient of a; in ax, a is the literal coefficient of cc; in 5ca;, 5c is a mixed coefficient of a;; a means la; xy means Ixy. An Exponent is written at the right and above the level of a number to show how many times it is taken as a factor. Thus, a^ signifies aXaXci. If no exponent is written 1 is understood. Thus, a is the same as a^ , which denotes that a is taken once as a factor; a*-* denotes that it is taken twice as a factor, etc. Caution.— Avoid confusingr the coefficient and exponent in their tiaes. Thus, in 3ff, 3 is the coefficient; in a3, 3 is the exponent. In the first instance, a is multiplied by 3; in the second, a is taken three times as a factor. The Radical sign (y), placed over or before a quantity indicates that its root is to be found. The index of the root iw»!'.. AI 25+2/ X 5, 5[a;+2/] and 5|a;-f^| each denote that the sum of X and y is multiphed by 5. A Power is the product of two or more equal factors! thus, a^ represents aXct, that is, the second power of a. A Root is one of the equal factors of a Power. In the above the root is a. Factors of a number are the quantities multiplied to^^ gether to form the number. They may be numeral, liters or both. Ex.: 3, », 2/, 3x, S^/, xy are factors of Zxy. Factoi expressed by letters are literal factors; those by numbersj numeral factors. An Algebraic term is a single quantity composed of on< or more factors. That is, it is an algebraic expression o\ one symbol, or of several symbols not separated by the sign + or — . The Degree of the Term is the number of its lateral factors. Algebraic Terms are classed as Monomials, Binomials, Trinomials, Polynomials, etc. (a) A Monomial, or simple expression, is a single dis- connected Algebraic quantity. Ex. : 3a. (5) A Binomial consists of two terms connected by the signs, plus or minus. Ex. : 2a-i-3&. AXG^BRA. (c) A Trinomial consists of three terms similarly con- nected. Ex.: 2a4-36— 4c. (d) A Polynomial consists of many terms similarly connected. Ex.: 2a-\-3b—ic-{-5d. A binomial is a polyno- mial of two terms; a trinomial is a polynomial of tliree terms. Homogeneous terms contain the same number of literal factors. Similar terms are those having the same letters af- fected by the same exponents; thus, 5x^y^j 7x^y* and 6x^y* are similar terms; bxy^^ 5x^y and 5x^y^ are dissimilar terms (although the letters are ahke in these terms they are not affected by the same exponents. ) "^ If a term is preceded by the + sign it is called a positive or plus term; if preceded by the — sign it is called a neg- ative or minus term. Before a single term and before the first term of a series the sign + is omit- ted. Thus, a is the same as +a, i. e., its sign is -j- but it is omitted; in the expression, a5— 3ac+d, the sign of ab is +> but for convenience and by usage it is omitted. Of course if a term has the minus sign the sign — is always placed before it. The sign -f- or — always precedes each term of an algebraic expression. If a term is combined with other letters by the sign X or -4-, each of these letters forms a part of that term, and the operations thus indicated must be performed before any part of the term can be added to or subtracted from any other term; as, 6-}-5X3=6-fl5=21; that is, 5 is first multi- plied by 3 and the product, 15, is then added to 6, making 21; also the expression 25 — 14-=-2=25— 7=18; and 16-f5X4+6-r-3, shows that 6 is to be divided by 3, 5 is to be multiplied by 4, and the quotient, 2, with the product, 20, added to 16; or, 16+20+2=38. If both terms connected by the + sign in the first part of the above expressions were >to be multiphed by 3, it should be written 3(6+5) j or 6+5X3, in which case 6 and 5 would be added and their sum, 11, multiplied by 3, making the result 33. The expression a+6Xc means that the term h only is to be multiphed by c; (a+6)c, or, o+FXc, means that both terms are to be multiphed by c; the expression, a — 5-T-c, means that the term b only is to be divided by c; the expression {a—h)-i-c,or—, means that both terms are to be divided by c. EXERCISES. 1. 20+6^2=23 ans. 2. 30—6X2=18 ans. 3. 16+4X2+6-^3=26 ans. 4. 16--5X2+10-5-2=what? 5. 12+4— 6-5-3=what? 6. 18— 7+8X4=what? The numerical value of an Algebraic expression may be found by substituting given or known values for the letters and performing the operation indicated. Thus, if a=5, 3a=3Xa=3X5=15j a3=aXaXa=5X5X5=125. If, in the expression a+5— c, a=10, 6=12 and c=4, then a+5— 0=10+12—4=18; and In the expression ahc, if the values of the letters a=2, 6=3 and c=4, then a6c=2X3X4 =24. If a=6, 6=8 and c=7, then -^^^=-^1— =-=-=2. ' c 7 7 EaERCISE . If a=2, 6=3, 0=5, d=4, »=1, 2/=6, 2=0, find the numerical value of: 1. 16a 8. f6c'2' 15. dbc—Sxy 2. 1460 9. iao»y» 16. ^-^ ai;g:^bra. 3. S2abxy 10. 7a— 60 17. ^^ ao 4. 5c^d^ 11. y^-x^ 18. ^ 5. a^c^x*y^ 12. 2a3-6+(Z» 19. ^!^^- 16z^ 46c» 6. ^ahd 13. x*+y^—z* 20. 7. A6cy 14. x3_25^^3 THE PARENTHESIS. The Algebraic expression witMn a parenthesis may be removed without changing the sign of any of the terms if the parenthesis is preceded by the + sign. Thus, ^(5+4 — 2)=6+5+4— 2 and a-{-(b—c—d)=a+b~c—d. The same is true if any other of the signs of aggregation are used. ) If the — precedes the parenthesis the sign before each term contained in it must be changed if the parenthesis is removed. Thus, 6— (4— 3) =6— 4+3; a— (6— c+d)=a— 6+ c — d'f — (a—b—c-\-d)—a-\-h-\-c—d. Let us emphasize this: Ifa-\- sign, expressed or understood, precedes a parenthesis the parenthesis may he removed without changing the sign of any term vnthin it; if a — sign precedes a parenthesis the sign of each term is changed if the parenthesis is removed. Combine the terms in the following after removing the parentheses: Models. 3+(6— 5)=3+6— 5=4; a+(b—c—d)=a+b— c—d; (5+4— 6)=5+4— 6=3; 16— (—5+3— 4) =16 +5— 3+4= 22; —(—3+2— 6— 4)=3— 2+6+4=11; a— (6+c— d;+e)=a— 6— c+d — e. 1. 6+(— 4+3— 6+2)=what? 2. 7+(6+3— 7+6— 8)=what? 8. 9+(7— 6+3— 4+2)=what? 4. 8+(9-3+4— 6+7)=what? 9 5. a+(c— d-f-e— /)=wliat? 6. (a-(-c) +(d-j-e)=wliat? 7. (a— 5)+(c— d)=wliat? 8. 7— (4+2— 6)=wliat? 9. 9— (— 6+4— 3)=wliat? 10. 8+(3— 7+9)=wliat? 11. a— (6+c+d)=wliat? 12. c— ((Z+e+/)=wliat? 13. (a— 6)— (c— d)=wliat? 14. — (c— d)— (e+/)=what? It may also be noted tliat a number of terms repre- senting an Algebraic expression may be inclosed in a parenthesis and the plus sign placed before it provided none of the signs of the Inclosed terms are changed. Thus, 6+4— 5=(6+4— 5) or 6+(4— 5); a+6— ^OOI,OGY. death these skeletons persist, and because of their abun- dance and close massing form great reefs or banks and islands in the warmer oceans. More than two thousand kinds of living corals are known and their skeletons offer a great variety of structures. Brain coral, organ-pipe coral, the red coral from Italy and Sicily, used in jewelry, and the sea-pens and sea- fans are among the better known kinds of coral skeletons. Siphonophora.— These are elongate forms of jelly- fishes composed of several different kinds of individuals forming a floating or free swimming colony. Sometimes there is a slender, flexible, central stem several feet long, to which are attached thousands of medusae and polyp individuals, each individual specially adapted for some one duty. The central stem is a greatly elongated individual polyp whose upper end is dilated into a float filled with air. This individual holds up the whole colony. Grouped around the stem just below the float are many bell-shaped polyps which alternately open and close, and by thus drawing In and expelling water from their cavities impel the whole colony through the water. These medusae are without tentacles and take no food and produce no young. Their sole office is that of locomotion. From the end of the central stem rises a host of structures some provided with long tentacles furnished with batteries of stinging cells. These polyps are the food-getters for the colony. Other polyps are provided with long sensitive threads. These are the sense organs or sense individuals of the colony. Finally there are two other kinds of individuals which produce the egg-cells and sperm cells. Their sole office is that of reproduction. In this group it is evident that division of labor and differentiation of parts is more pronounced than in any other form that we have studied. 10 ^OOlvOGY. m • A in c3 52 4> ^ :« . 1-4 O 1 (» A rd >;»1^ s 00 Ph S ^ •rJ O 0) O c8 .g p, ^r-, o M _g ^ O !=3 1^ -3 .'d rd 3 d M M j» CG 02 C8 +a c8 © «H • © © •f-i c8 as 50 CO CO 1-4 f-i Si o a; o &/3 • d «^ -2 nS O ;d 11 o d o > •1-1 CO 0) © a 1 & 2 a 11 THE EAUTH-WORM. The common earth-worm (sometimes called angle- worm) is generally taken as a type of the Vermes or worms. The body is cylindrical, shows well-marked dorsal and ventral surfaces, and is jointed, each joint being known as a seg-ment, or somite. Anteriorly it tapers to a point, and the head region bearing the mouth is ill- defined, yet serves admirably for tunneling the soil in which the worms hve. In this process the animal is also aided by bristles or setal, which project from the body wall of almost every segment and may be stuck into the earth to afford a foot- hold. Inspection of the internal anatomy shows a weU- marked bilateral symmetry, that is, the animal has a right and left side, and the organs of the right side are repeated upon the left side. Food and Digestive System.— Earth-worms are nocturnal animals, seldom coming to the surface during the day, except when forced to do so by the filling of their tunnels with water (as after a rain), or when pursued by enemies. At night they usually emerge partially, keeping the posterior end of the body within the burrow, and thus they scour the surface areas for food, which they appear to locate by a feeble sense of smell. They also frequently extend their habitations, and in so doing swallow enormous quantities of earth from which they digest out any nutri- tive substances, leaving the indigestible matter in coiled "castings" at the entrance of their burrows. In thus mix- ing the soil and rendering it porous they are of great service to the agriculturist. Although earthworms are omnivorous they manifest a preference for certain kinds of food, notably cabbage, celery and meat, which indicates that they have some sense of taste. All these substances are carried within 12 their retreafes and devoured, or are used to block tlie en- trance during the day. The food thus obtained is digested by a system composed of several parts, each of which is modified for a particular part in the process. The mouth is on the under side of the first segment and is covered by a dorsal projection called the prostomium. The mouth leads into a muscular pharynx whose action enables a worm to retain its hold on various objects until swallowed. The pharynx narrows down into a slender oesophagus which has three pairs of bag-like structures (the front pair, oesophageal pouches, the next two pairs, calcif- erous glands) which secrete a milky, limy fluid."' The oesophagus leads into a thin-walled crop, which acts as a storehouse for the food until it is ready to be received by the thick-walled gizzard, whose muscular walls reduce it to a fine pulp, readily acted upon by the digestive fluids. These, resembling in their action the pancreative juice of higher animals, are poured out from the walls of the in- testine into which the food now makes its way; and as it courses down this relatively simple tube the nutritive por- tions are absorbed while the indigestible matters are cast away. The whole digestive system consists of a straight alementary canal running through the middle of the body from the mouth to the anu. Most of this canal is intes- tine, only a small portion at the anterior end being differ- entiated into the other parts mentioned above. There are no highly specialized glands connected with the intestine but a ridge called the typhlosole runs along the roof of the intestine and this, besides increasing the amount of absorptive surface, is filled with helpatic or digestive cells. Circulatory System. — In aU the groups of animals we have thus far studied, the digested food is carried over 13 the body by a simple process of absorption; but in the earthworm the division of labor between the different parts of the body is more perfect, and a definite blood system acts as a distributing apparatus. This consists primarily of a dorsal vessel lying along the dorsal sur- face of the alimentary canal from which numerous branches are given off to the body wall, and to the digestive system through which they ramify in every direction before again being collected into a ventral vessel lying below the di- gestive tract. In some of the anterior segments, those in the region of the oesophagus, a few of the connecting ves- sels are muscular and unbranched, and during life pulsate like so many hearts to force the blood over the body.' The course of the blood is forward in the dorsal vessel, through the "hearts" into the ventral vessel, thence into the dorsal by means of the small connecting branches. This blood is red but the color is not due to red corpuscles. The color- ing matter is dissolved in the hquid portion of the blood. Between the intestine and the body wall is a cavity (the body cavity) filled with a colorless fluid which is made to circulate by the contractions of the body wall of the animal in the act of crawling. This fluid contains many white amoeboid corpuscles and greenish glandular cells (cliloragogue cells ) which probably have some di- gestive function. In this rough fashion a considerable amount of nutritive material and oxygen (absorbed through the skin ) are distributed to various organs and wastes are carried to the kidneys to be removed. Excretion. — In every segment of the worm there is a pair of kidneys (nephridia), each consisting of a coiled tube wrapped in a mass of small blood vessels, and at its inner end a funnel-shaped opening (nephrostome ) com- municating with the body- cavity. In some unknown way 14 ZOOLOGY. the walls of the kijiney extract the waste materials from the blood-vessels coursing over it and pass them into its tubular cavity. At the same time the cilia at the mouth of the funnel-shaped extremity are driving a current from the body cavity fluids which wash the wastes to the ex- terior through a small excretary pore between the setae on the ventral surface of the segment behind that into which the nephrostome opens. Nervous System. — The nervous system of the worm consists first of a brain composed of two pear-shaped masses united together above the pharynix from which nerves pass out to the prostomium or upper lip and head segment, which are thus rendered highly sensitive. Two other nerves also pass out from the brain, and, coursing down on each side of the pharynx like a collar, unite below it and extend side by side along the under surface of the digestive system throughout its entire extent. In each segment the two halves of the ventral nerve-cord, as it is called, are united by a nerve and others are distributed to various organs. In its relation to the outside world the chief source of information comes to the earth-worm through the sense of touch, for definite organs of sight, taste and smell are but feebly developed, while ears appear to be entirely absent. Reproduction. — The earth-worm has two sets of re- productive organs, namely male and female organs, that is, the animal is an lierniaplirodite. In the region of the tenth and eleventh segments are two pairs of small flat- tened glands, the testes. These are connected with the three pairs of large sac-like seminal vescicles which arch over the oesophagus. The testes also communicate with the exterior through long tubes the vasa def erentia n the fifteenth segment. The testes give rise to the male 15 ZOOI/OGY. •eproductive elements, sperm cells, which fertilize the >va after they and the ova have both passed into the egg- 3ase. The ovaries which produce the egg cells or ova ire glandular paired bodies attached to the posterior waU of the septum between the twelfth and thirteenth seg- ments. The ova pass to the exterior through a short eunnel-shaped tube, oviduct, opening on the fourteenth segment. Still another set of organs are found in the tenth and eleventh segments, two pairs of sac-hke bodies the seminal receptacles which receive the male reproduc- tive elements during copulation. During copulation the individuals rest with their heads in opposite directions and their ventral surfaces together. The openings of the vasa deferentia of each coming in contact with the openings of the seminal receptacles of the other, the sperm cells of each pass over into the seminal receptacles of the other. During the breeding season there is a conspicuous whitish girdle (the chteUum) around the anterior end of the worm in the neighborhood of the reproductive organs. When the eggs are ready to be discharged the clitellum secrets a substance which hardens and forms a collar-like structure about the body of the worm. This collar is now • slipped forward. As it passes over openings of the ovi- ducts the eggs are discharged into it, and as it passes over the ninth and tenth segments it receives the sperm cells from the seminal receptacles. It now passes entirely over the head. The structure with the eggs and sperm cells be- comes closed at both ends, thus forming a horny capsule which lies in the earth until the young worms emerge. Only a part of the eggs develop in each capsule, the rest being used as food for the growing young. LEECHES. These animals are familiar to boys who go in swim- ming in the small streams of the country, and are known 16 2?OOI,OGY. by them as "blood suckers." The body of a leech is flattened dorso-ventrally, instead of being cylindrical as in the earth-worm, and tapers at both ends. In the live animal the body can be greatly elongated and narrowed or much shortened and broadened. It consists of many segments and bears at each end on the ventral surface a sucker, the one at the posterior end being larger. These suckers enable the leech to cling firmly to other animals. The mouth is at the front end of the body on the ventral surface and provided with sharp jaws. Leeches Uve mostly on the blood of other animals which they suck from the body. The common leech fastens itself upon its victim by means of its suckers, then cuts the skin, fastens its oral sucker over the wound and pumps away until ft has com- pletely gorged itself with blood, distending enormously its elastic body, when it loosens its hold and drops off. Its biting and sucking cause very little pain, and in olden days physicians used the leeches when they wanted to "bleed" a person. A common European species of leech much used for this purpose is known as the "medicinal leech." All leeches are hermaphroditic, that is, both sexes are not distinct but each individual produces both sperm- cells and egg- cells. Most of the leeches lay their eggs in small pockets or cocoons. This cocoon is dropped in the soil on the banks of a pond or stream so that the young may have a moist but not too wet environment. The leeches and earthworms, because of their resemblance to each other, are put in a class by themselves, the Oligocliaeta (ol-i-go-ke'-ta). FLAT-WORMS. The flat-worms include a large number of forms which vary much in shape and habits. They are all, how- ever, characteristically flat. Some are active, free-hving 17 2POOI,OGY. animals, as the planarians, while many live as parasites in the alimentary canal of other animals, as the Kver- fluke of the sheep and the tape-worm of other animals. Planarians.— The fresh-water planarians, common in the mud at the bottom of ponds, are thin, and rather broad, tapering from in front backwards. A pair of black pigment spots, on the upper surface near the front, serve as eyes ; the mouth is on the under surface a little behind the middle of the body and opens into an alimentary canal of many branches. There is no anal opening as the branches of the alimentary canal are all closed at their ends. The nervous system consists of a pair of gangha near the front of the body and two nerve trunks extending backward and giving off many branches. Tape-worms. — There are numerous species of tape- worms hving in the bodies of vertebrate animals. In the adult stage the tape-worms Uve in the ahmentary canal, holding on to its inner surface by hook-Uke cMnging or- gans and being nourished by the already digested food by which they are bathed. In the young or larval stage tape- worms live in other parts of the body of the host, and usually, indeed, in other hosts not of the same species as the host of the adult worm. The common tape -worm which infests man (Taenia solium ) may be taken as an example of the group. In the adult condition it is found attached by the head end to the walls of the intestine and is in the form of a narrow segmented ribbon two or three yards in length. The head is small and provided with many hooks. Behind the head the segments grow wider and wider and there may be as many as 850 of these seg ments called proglottids. There is no mouth or ali- mentary canal, the liquid food being simply taken through the skin. Each proglottid produces sperm-cells and egg- 18 2?OOI/OGY. cells; one by one as the eggs ripen the terminal proglottids break off and pass from the body with the excreta. If one of these escaped proglottids or the eggs from it are eaten by a pig, the eggs develop in the alimentary canal of the pig, bore their way through the walls of the canal and lodge in the muscles. Here they increase greatly in size and develop into a sort of rounded bladder-like sac filled with Hquid. In this stage it is called a bladder- worm. If the flesh of the pig be eaten by man without first being sufiiciently cooked to kill these worms, they will lodge in the intestine of man and develop into the long ribbon-hke adult form of tape-worm. Our common domestic animals are often infested with tape-worms. There is always an alternation of hosts, the larval form hving in the*so-called intermediate host. The intermediate hosts of the dog tapeworms are rabbits, sheep, mice, etc. Planarians and tape-worms belong to the class Plathelminthes (plat-hel- min'-thez) or flat- worms. ROUND WORMS. The round worms are slender, smooth, cylindrical worms, pointed at both ends and very long in proportion to their diameter. Trichina spiralis.— This terrible parasite which pro- duces the disease trichinosis is a round worm of which very much is heard. This is a small worm which in the adult condition lives in the intestine of man as well as in the pig and other mammals. The young, which are born alive, burrow through the walls of the intestine, and are either carried by the blood, or force their way all over the body, lodging usually in the muscles. Here they form for themselves little cells or cysts in which they lie. The forming of these thousands of tiny cysts injures the muscles and causes great pain, sometimes death, to the 19 host). Such infested muscle or flesh is said to be "trichi* nosed," and the flesh of a trichinosed human subject has been estimated to contain 100,000,000 encysted worms. To complete the development of the encysted and sexless Trichinae, the infested flesh must be eaten by another animal in which the worm can live, e. g. the flesh of a man, by a pig or a rat and that of a pig by man. In such a case the cysts are dissolved by the digestive juices, the worms escape, develop reproductive organs and produce young, which then migrate into the muscles and induce trichinosis as before. But, however badly trichinosed a piece of pork may be, thorough cooking of it will kill the encysted Trichinae, so it may be eaten with impunity. Some people are accustomed to eat ham, which is simply smoked pork, without cooking it, and in such cases there is always great danger of trichinosis. Vinegar-eels (Anguillula) are round worms found in weak vinegar. Other -species of the same genus live in water or moist ground. The hair-worms (Gordius) which are believed by some people to be horse-hairs dropped into water and turned into these animals, are often found abundantly in pools of rain, and it is sometimes said that these worms come down with the rain. They have in reality come from the bodies of insects in which they pass their young or larval stages as parasites. Pin-worms parasitic in the alimentary canal of rnan and many animals, and the guinea-worm, one of the worst parasites of man living in the cellular tissues beneath the skin of man, and often reaching a length of six feet, are also examples of the round- worms or Nemathelminthes (ne-ma-thel- min'-thez). Wheel Animalcules or Rotifers.— Specimens of these may be found in almost any stagnant water. They 20 are only about Vioo of an inch long but when viewed un- der a compound microscope show great complexity of structure. They may be known by the constant whirling or rather vibrating, circlet or wheel of ciUa at the larger or head end of the body. They are transparent and all the internal organs can be readily seen. Especially noticeable is the "mastax" or gizzard-like masticating apparatus in the alimentary canal. Branch Vermes Classification of Vermes. Class Examnle {Leeches Earthworms Olig-oeliaetae (Segmented highly organized worms ) Platlielmintlies. (Flat- worms with soft bodies and without true segmentation ) N^emathelminthes . • . (Round or cyhndrical worms; unsegmented Planarians Liver-fluke Tape -worm ■ Trichina Guinea -worm Pin- worm Vinegar- eels Hair-worms Rotif era J Wheel animalcule (Microscopic segmented) I 21 OUTLINE QUIZZES. (SECOND PAPER.) 1. Describe the simplest form of a sponge. 2. How do sponges eat, breathe? 3. Describe the three methods of reproduction. 4. Where are fresh water sponges found and how may they be recognized? 5. How are sponges classified? 6. Give a brief description of Hydra. 7. How does it feed? How does it reproduce? 8. In what respects is Hydra more highly specialized than the sponges? « 9. What is a hydroid? 10. Describe a jelly-fish. 11. Describe the alternation of generations occuring in its reproduction. 12. What is a coral? 13. In what respects are the colonial jelly-fishes more highly specialized than any forms we have studied thus far. 14. Describe the digestive system of the earth-worm; the circulatory system, the kidneys. 15. How do earth-worms reproduce? 16. Give a brief description of a leech. 17. Give the Mfe history of the tape-worm. 18. Give the hfe history of Trichina. 19. Name other common round worms 20. How are worms classified? 22 PHYSICS. (SECOND PAPER.) ''Knowledge may give weight, but the application makes it valuable.'' WORK AND ENERGY. Work is the overcoming of resistance of any kind. It signifies a change of position and is not dependent upon the time taken to do it. The amount of work done in a given time depends upon the energy which performs it. Maxwell defines energy as "the capacity for doing work." No single atom of matter is destitute of energy; its manifestation depends upon many circumstances, among which we mention only the advantages of % time, space, and position. If energy is not brought into action it is styled Poten- tial energy, and it is in this sense that we have asserted, above, the universality of energy. Kinetic energy is that which is possessed in conse- quence of motion imparted by Force, which may be de- fined as that which causes a change of position. "An un- balanced force always does work," 1. e., an unresisted force. Two systems of measuring work are in use— the practical and the metric. In the practical system the unit of measure is the kinetic energy imparted in raising vertically a weight of one pound to the height of one foot. To this unit is given the name of foot-pound. In the metric- system used chiefly in electric and scientific apphcations, the unit of measure is the Kilogram- meter, which equals 7.23 foot-pounds, representing the kinetic energy imparted in elevating 1 K. to the height of 1 meter. PHYSICS. Kinetic energy is possessed by every moving bod; Potential energy, latent in a body at rest, becomes Kinei the moment that motion is imparted to the mass, hen space is a necessary element in the conversion of Potenti into Kinetic energy. In the C. G. S. System, (centimeter-gram-seconds the force which gives to 1 gram an acceleration of 1 cent meter in 1 second of time is called a Dyne, and the woi done or Kinetic energy developed by a force of 1 Dyi through a distance of 1 centimeter is called an Erg. Force used in the development of Kinetic energy obtained for practical purposes from natural sources, j water, wind, steam, man and animals, and explosive Tlie mathematical relations of force to weight and oth( elements are founded upon the Laws of moving bodie In the few formulae given below: w, represents weighi f, force J s, space; v, velocity; r, resistance; Ek,Kineti energy; Ep, potential energy; fp, foot-pound; E, the Erg D, the Dyne. The strength of a man acting uniformly for a fixe period is estimated to be suflacient to raise 10 pounds, 1 feet in 1 second, continuously for 10 hours. The estimated strength of a horse (or "horse-power" is suflacient to raise 33,000 pounds one foot per minute. The force exerted by water is dependent upon gravity and height of the fall. The force exerted by wind is governed by its velocitj The force of explosives, as gunpowder, etc., depend upon the quality of cohesion of particles, density of stor age and other mechanical considerations. > The general rule for finding the power expended i] performing work is: Multiply the weight of the mas moved in pounds, by the vertical height. PHYSICS. A Dynamometer is an instrument used for measuring the force exerted by any agent. An ordinary spring bal- ance is an illustration. MACHINES. A Machine is an instrument by the use of which an external force may be controlled and utilized. Machines cannot create power nor increase its quantity. The four chief advantages which we obtain by the use of machinery are thus epitomized: (1) the exchange of speed for force or intensity; (2) the exchange of intensity for speed; (3) the use of other forces instead of our own; (4) the change of direction, and gain in the distance in which power may act. The General Law of machines is based upon the rela- tion existing between the power and the distance through which it moves. Let F represent the force (or power), R, the resistance (or weight), D, the distance through which F moves, and d, the distance through which R moves; then the above rule may be stated in proportion, thus : F:d :: W : D. Hence, FD=Wd, i. e., the ratio of the power to the weight=:the ratio of their distances of motion. All machines, however complicated in their structure, are formed from six "mechanical powers," as they are erroneously called, because they are not powers but in- struments for rendering power available. These six are named in the order of simplicity: (1) the Lever; (2) In- clined plane; (3) Pulley; (4) Wedge; (5) Screw; (6) Wheel and Axle. The first three are also called the primitive. Simple machines; the last three, the derivative or Compound ma- chines, because they are formed by combinations of the first three. PHYSICS. A Ijever consists of a bar moving upon a pivot or point of support. The portions of the lever extending on each side of the pivot are called the Arms, and the pivot is called the Fulcrum. The Power Arm is the perpendicular distance from the fulcrum to the hne in which the power acts. The Weight Arm is the perpendicular distance from the fulcrum to the Une in which the weight acts. Levers are divided into first, second, and third classes, depending upon the position of the fulcrum, in relation to the power and weight. In the first class the fulcrum is between the power and weight; in the second class the weight is between the power and fulcrum, and in the third class the power is be- tween the weight and fulcrum. A lever will be in equihbrium, or balanced, when the weight and power are in inverse ratio to their distances from the fulcrum, in compliance with the general law. Hence when any three of the elements of the lever are known the fourth may be found by Simple Proportion. A Compound Lever consists of two or more simple levers so arranged that the short arm of one acts upon the long arm of the other. By this arrangement, we may say the force applied is multiphed. A hay -scale is an illustra- tion, as are platform scales. The general law of machines may be adapted to the lever. A given power will support a weight as many times as great as itself as the power arm is times as long as the weight arm. Practical Questions.— The power arm of a levei is eight feet long, the weight arm three feet. (1) How long is the lever if it be one of the first class? ( 2) Of the second class? (3) Of the third cIbss? Ans. (1 ) 11 ft. (2) g PHYSICS. ft. ( 3) By conditions of problem it cannot be a lever of third class. ^. A lever is ten feet long with its fulcrum in the mid- dle. A power of 30 lb. is appMed at one end. (a) How great a load at the other end can it support, (b) How great a load can it lift? (a) 30 lb. (b) Any weight less than 30 lb. The Inclined Plane consists of a bar having both ends supported on a fixed point, but with a difference in level. Its principle of action is that of the Lever; the en- tire length of the bar is the long arm, and the vertical height of the elevated end, the short arm. In this machine the power is to the weight as the height of the pl^e is to its length. It is on this principle that a wagon road on the side of a mountain or steep hill should never ascend di- rectly, but obliquely. ( Why?) The Wedge consists of two inclined planes placed base to base, the head of the wedge corresponding to the combined heights of the planes, and the friction surface to their length. Its effectiveness depends upon the quantity of friction, the relative length in proportion to thickness of head, and force of percussion exerted upon it. The Screw is, like the wedge, a modification of the incMned plane. It is so familiar an object that it seems scarcely necessary to say that it consists of an inclined plane wound around a cylinder having the height of the plane as the line of revolution. The ratio of the power to the weight equals that of the distance between the threads to the circumference described by the power. The advan- tage in the use of the Screw as an apparatus for over- coming resistance is found in two facts. (1) By using a movable lever as the point of applica- tion, thereby in effect, lengthening the long arm, the :-^ PHYSICS. "work" performed by a given force is largely increased, though at the expense of time and space. (2) With a movable lever, also, the Screw can be used in positions not otherwise accessible. The Jack-Screw, used for raising buildings, etc.,- is a familiar example of this machine. PRACTICAL QUESTIONS. 1. A Screw has «even threads for every inch in length. If the lever is six inches long and the power 50 lb. what resistance may be overcome by it? Ans. 50 : w :: ^/t in. : 12 in.X3.1416=13194.72 lb. (i. e. any weight less than this may be moved). 2. How great a pressure will be exerted by a power of 15 lb. applied to a screw whose head is ^ of an inch in circumference and whose thread are Vs of an inch apart? Ans. 15 : W :: Ve : M=67>^ lbs. The Pulley is a wheel revolving with, or upon, a pivot and set in motion by means of a cord passing over its edge, usually grooved. The ratio of the power to the weight is equal to that of the two divisions of the cord, usually called the long and the short arms of the puUey. As in the case of the compound lever, the combination of two or more pulleys in one system called a system of "block and tackle" increases the efficiency of the apparatus, and its faciUty in use where direction of movement is to be changed from the horizontal to vertical, or vice -versa. A given power will support a weight as many times as great as itself as there are parts of the cord supporting the movable block. W=PXN. 1. What power will support a weight of 50 lb. the pulley being fixed? Ans. 50 lb. 2. What power will support a weight of 50 lbs. the pulleys being movable? Ans. 25 lb. Physics. Tlie Wheel and Axle is a modification of the Pulley, too familiar to need description. Its eflaciency as a trans- ferrer of energy depends upon the relative lengths of the distance passed in one revolution of the Wheel's circum- ference and that of the Axle. The Radius, or the Circum- ference of the Wheel; is taken as the long arm, and the same elements of the Axle, the short arm, corresponding in their relation to the elements of the simple lever, and governed by the same rules. When the wheel of one in- strument "gears," or is connected by bands or belts with the Axle, we have a Compound Wheel and Axle. It will be readily understood that in no system of ma- chines can energy be transformed, or transferred without some loss, so that, so far from increasing the product of force, a decrease is in fact caused by what is known as friction. Friction is the adherence of two surfaces of the same or unlike character having in varied degrees the quahty of roughness. This quahty is made use of in the construction of friction wheels where it would be inconvenient to em- ploy other means of transferring energy. LIQUIDS. A Liquid is that form of matter in which the mole- cules, on account of their slight cohesion, move freely up- on each other and in all directions. Hydrostatics is that branch of science which treats of hquids at rest; Hydrauhcs or Hydrokinetics, of hquids in motion. The pressure of liquids differs from that of solids in the fact that it is transmitted in all directions, while that of solids is in the hne of gravity or in the axis of direction of the impelUng force. It is upon this principle that ma- chines are used to enable us to make use of the elasticity PHYSICS* of liquids, as in the hydraulic jack for raising buildings, the hydraulic press used in baling cotton, etc. The total pres- sure which is exerted upon the interior of a containing vessel is equal to the area multiplied by the pressure per unit of area. In a fluid at rest, the pressure is due to its weight, and is in proportion to its depth except so far as modified by compressibihty, and this is so very slight that it is discarded in Pascal's principle: "At any point of a fluid at rest the pressure is equal in all directions." The Hyrdostatic press is constructed upon this prin- ciple, and upon the law that the pressure of a column of liquid is proportioned to its height and not to its bulk or quantity. By the use of machines constructed upon this principle, an immense force may be exerted by a column of water so small as to seem entirely disproportionate to the result obtained. The hydrostatic press consists es- sentially of a small force pump whose piston is worked by a lever, and a large cyhnder whose piston acts against a flat metallic plate, the pump and cylinder being connected by a tube. By raising the long arm of the lever water is drawn into the cylinder of the forcing pump; the lever is then lowered and the water is forced into the larger cylin- der, the piston of which is raised and forced against the body to be compressed. The pressure exerted by this pump is as many times as great as the force employed as the area of a cross -section of the larger cylinder is greater than that of the smaller. For example, if a pressure of 500 pounds is exerted upon the water beneath the piston in the smaller cylinder, and if the larger cylinder has a sectional area 500 times greater than that of the smaller, then the pressure exerted by the small piston will produce 8 PHYSICS. a pressure of 500x500 pounds, or 250,000 pounds upon the lower surface of the larger piston. The downward pressure of liquids is independent of the shape of the containing vessel, but is governed by the area of the bottom, therefore the same pressure on the bottom will be exerted by columns of water in vessels having the shapes of a cyhnder, funnel, triangular prism, etc., if the areas of the bases and the heights of the column are equal. Hence to find the amount of the pressure of any hquid upon the bottom of any vessel: Multiply the area of the base by the perpendicular depth of the liquid and this by the weight of a cubic foot. The lateral pressure at any point in a hquid is propor- tional to the perpendicular depth below the surface. Hence to find the pressure upon the side of a containir% vessel: Multiply the area of the side by one-half the depth of the vessel and this product by the weight of a cubic foot of the hquid. It is by the application of this principle that the amount of pressure which artificial embankments for the restraint of water courses, the strength of material in lock-gates, etc., is computed. Theoretically the surface of any hquid, as water, is level; in reahty it partakes of the curvature of the earth. For small distances this is so slight that it cannot be appre- hended, and therefore the sea level is taken as a standard. Flowing water will always tend to seek the rise or fall to an exact level in every part of its channel. It is owing to this fact that springs, weUs and artesian fountains are made available to man. Connected with the principles involved in the theories of hydrostatic pressure is Flotation. This depends upon Buoyancy, a name given to the force by which a sohd body is pressed upward by a hquid into which it is plunged; PHYSICS. Archimedes's Laws or Principles cover this action: (1)A solid immersed in a liquid is pressed upward with a force equal to the weight of liquid displaced by it. (2) The quantity or volume of liquid displaced will equal the volume of the immersed part of the solid. (3) A body will float in "EquiUbrio," i. e., it will remain at the point to which it is immersed, when the downward force of gravity is equal to the upward pressure of the liquid in which it is placed. (4) Buoyancy is in proportion to the relative den- sity or specific gravity of the body and the hquid in which it is immersed. Equilil)rium of Liquids.— If water is poured into a number of vessels that are connected by means of a tube it will rise to the same height in each vessel. Water con- veyed in pipes rises as high as its source. This principle of liquids is illustrated by the artesian well. The crust of the earth is composed of different strata, some of which al- low water to pass freely through them while others pre- vent its passage. These strata have sometimes a basin shaped bed— water collects in the porous layers, is sub- jected to pressure due to the height of the elevated ends and consequently rises through an opening m. fcb© lower part of the basin. Hydraulics, or Hydrokinetics, is that branch of physical science which treats of liquids in motion. The first title is derived from the Greek words "hudor," water, and ''aulos," a pipe. It considers the flow of water through orifices in the sides of reservoirs, through pipes, in rivers and artificial channels, and in the operation of all machinery in which flowing water is the motive power. Observation and experiment are the sources of our information, from which are deduced certain laws which constitute the science of Hydrokinetics. 10 PHYSICS. A liquid will jet out from an aperture in a reservoir with a velocity proportionate to the vertical depth of the opening below the surface. This explains why the velocity from apertures at different heights in the same stand-pipe is greater, the nearer the apertures is to the bottom. Velocities from lateral aperture will be equal to that acquired in falhng perpendicularly through a space which equals the height of the aperture. A body falling 16 ft. in the first second has acquired a velocity of 32 ft. (see Falling Bodies), and this will be the initial velocity from a lateral jet 16 ft. below the surface. The velocity with which a Hquid will spurt from dif- ferent openings in a vessel, is as the square roots of the depths of the apertures. If a stand-pipe has t'v^ apertures in its side, one four feet below the surface, the other six- teen feet, the velocity of the jets respectively will be in the ratio of i/T to i/16, or as 2 to 4; hence the flow from the lower jet will be twice as rapid as from the upper. Theoretically, the quantity of water discharged from an aperture in each second of time, making no allowance for friction, is found by multiplying the area of the open- ing by the velocity. But practically the "contracted vein," formed by the friction of the flowing hquid with the sides of the aperture, diminishes the motion of the water, and the quantity discharged in a given time. It is a fric- tion upon the banks of a stream which renders the current less rapid near the shore than in the middle of the channel. It is found in practice that a horizontal tube, as a water supply branch tube, two inches in diameter will discharge about five times— instead of four times— as much water as a tube of one inch diameter. It is supposed, though it cannot be proved, that friction influences the flow of equal distances from the surface of contact in each tube, and 11 PHYSICS- that the consequent retardation is greater in the small tube than in the larger one. This principle should always be taken into account when laying water supply pipes and sewerage. From a vessel filled with a liquid the quantity dis- charged from an orifice in a certain time, will be uniformly retarded unless the vessel be constantly replenished at the same rate. The velocity of a liquid passing through channels of unequal section, will increase as the section decreases, and vice versa. This appears in the flow of a river. When- ever the channel is narrowed the current becomes more rapid. The velocity of a river depends upon the dechvity of its channel. In a smooth, straight channel, three inches decline in a mile gives a velocity of about three miles per hour. Dividing the Mississippi river into sections from the Gulf of Mexico, the average declivity is 1.8 inches for the first one hundred miles from the Gulf, 2 inches for the second hundred, 2.3 inches for the third hundred, 2.57 inches for the fourth hundred miles, and thereafter vary- ing with the changing topography of the basin. Waves.— If one portion of a liquid is disturbed or set in motion, this movement is communicated to all adjacent particles of this liquid. When the wind presses with un- equal force upon any portion of the surface of the sea, '* lake, or any other body of water, the portion so acted upon is depressed. The indifferent equilibrium of the particles of water causes an elevation of the adjacent particles and a "wave" is thus propagated. In deep waters, waves have but little more than a ver- tical motion; only the form moves, but not the substance. This explains why in deep oceans, out of the course of 12 PHYSICS, ocean currents, "derelicts" (vessels abandoned at sea) may be found floating often for weeks, near the point where first abandoned. The form of a body moving through a liquid deter- mines the amount of resistance to its velocity, the resist- ance being generallj^ proportioned to the velocity, if the direction of motion is perpendicular to the plane of the liquid. The model form for bodies moving through a hquid with the least resistance and greatest proportionate velocity, is that of the fish, especially of those whose length of body greatly exceeds its width and depth, as the pike. The application of water as a motive power of ma- chinery has been in use for so many centuries t||at it is, at least in some of its forms, known to all. The simplest mode used from time immemorial is the "Wheel." The Overshot, the Breast, the Undershot, and the Tur- bine, are the four classes of wheels most generally used. The choice of which form to employ depends chiefly upon the height of fall, the volume and the rapidity of the cur- rent. The Oversliot wheel utilizes about three -fourths of the weight— the moving force— of the water. It is most eflS-Cient where the fall in the stream is suflScient to permit its use. On its circumference it has a series of buckets which receive the water at the top of the wheel and dis- charge it at the bottom. The buckets on one side of the wheel are filled with water while those on the opposite side are empty. The motion of the wheel is to some ex- tent increased by the force with which the stream strikes the buckets. The Breast wheel is an intermediate between the Overshot and the Undershot. The water is delivered to 13 PHYSICS. its buckets or "floats" just belg^w the level of the axis of the wheel. Both the weight of the water and its momen- tum constitute the impulsive force. About 60 per cent of the moving power of the water is available. In the Undershot wheel dependence is placed chiefly upon the velocity of the current without regard to the weight. About 25 per cent of the motive power of the water is available. It is used only where there is no di- rect fall, but a rapid current. On its circumference floats are placed so arranged as to present an acute angle to the current. If the wheels are constructed to turn either way the floats are placed at right angles to the circumference. The Turbine wheel, a modern invention, is the most powerful and economical form. Its action is obtained from the pressure of a column of water. This column may be of any height. The Turbine wheel utihzes a much larger per cent of the moving power of water than any other. In the cotton factories of Lowell, Mass., it is claimed that 95 per cent of the moving power is available. The wheel is en- tirely submerged at the base of the column of water sup- plying it. The water rushes through a gate box with great force and is directed by means of curved partitions against the partitions of the wheel; after having expended its energy it escapes through a passage from the lower part of the casing in which the wheel is contained. A curiosity in hydraulic machines is the "water-screw" of Archimedes. This consists of a tube wrapped around a cyhnder, at such an angle, exceeding 45 degrees as may be desired, and turned by any motor available. The whole arrangement is also inchned to the surface of the water to be removed at less than 45 degrees above the horizontal. The water "rises by falUng," a paradox in assertion, but a fact in practice. It is rarely used. 14 PHYSICS. The common "suction" pump, and the chain pump are so generally used that they are familiar to all. The prin- ciple of the "suction" pump will be exhibited under Pneu- matics, where it properly belongs. The chain pump is used not only for elevating liquids, but in mills for eleva- ting flour, grain, etc. Its advantages are increased if it can be somewhat inclined, instead of being placed perpen- dicularly. This is done when it is used in unloading grain from the holds of vessels. The Hydrauhc Ram, now rarely- used, is a machine used to raise water by the combined action of air-pressure and of the momentum of a current of water, which is al- ternated in its course and thus caused to act at regularly intermitted moments. PNEUMATICS. The branch of physical science which discusses the pressure and other properties of air, or of aeriform or gaseous bodies is called Pneumatics. The title is derived from "pneuma," signifying wind or air. The names at- mosphere and air are synonyms, and it is neither gram- matically nor physically correct to use either adjectively in connection with the other, as is done by some writers in the use of such expressions as atmospheric air, and aeri- form atmosphere. There are two classes of aeriform bodies; viz.: perma- nent gases, unchanged by ordinary pressure and tempera- ture, and temporary gases ( so called ) which may be con- densed by pressure or shght diminution of temperature into liquids. Steam is a familiar illustration of this form. The Atmosphere, ( atmos— vapor, sphaira— sphere, ) or Air (a6r— air) is a thin, transparent substance enveloping the earth having pecuhar properties necessary to the sup- port of life. Air is not invisible when seen through a great 16 PHYSICS. distance. The "sky" appears blue because the "sky" is simply the reflected color of a vast volume of air, as the color of any object is due to the light reflected from its surface. Air has the quahties of impenetrability, inertia, weight, and other general properties of matter. An inverted gob- let cannot be pressed down so deeply in a mass of water but that a stratum of air will be interposed between the water and the bottom of the goblet. The resistance offered to the motion of a body passing through the air, as a fall- ing leaf, or a fan, is due to the inertia of the air. That air has weight to the extent of about 30 grains to 100 cubic inches may be shown by weighing a suitable flask, then exhausting the air and again weighing the flask. The elasticity and compressibility of air are qualities which possess great practical value. The density of the air varies with the altitude, decreas- ing with an increase of altitude, and vice versa. This de- crease is due to the decrease in the action of the force of gravity, and the diminished pressure; hence the density, under ordinary circumstances, is greater near the surface of the earth than any elevation above it. Mariotte's Law. — "The volume of space which air occupies is inversely as the pressure upon it." The elas- ticity of air is increased in direct proportion to the increase of density. The action of explosives is based upon this principle. The more closely giant powder, for instance, is packed and confined, as in blasting rock, the greater will be the elastic forces of the gases generated by its combus- tion, and the greater the expansive force. The Barometer is an instrument designed to measure the pressure, or weight, of the atmosphere. Its action depends upon the laws already mentioned governing the 16 PHYSICS. elasticity, density and pressure of the air under different circumstances. The weight already given, of 30 grains to 100 cubic inches, or its equivalent of 15 pounds to 1 square inch of surface, and the fact that the pressure varies with the density, led to its invention. The marking of *'clear," "foul," etc., as weather indications are of very Uttle value, while the general fact that the fall of the mercury in the tube of the barometer shows the approach of a storm period, as the lowering of mercury in a thermometer shows a present lower temperature, renders it a useful instrument to those whose convenience or safety may depend upon this forecast. It is also a ready means of measuring the al- titude of accessible points, though not quite so correctly as can be done by trigonometric calculations, in which no ne- cessity exists of making allowances for varied temperature, etc. In measuring altitudes, a fall of 1 inch indicates, ap- proximately, an increase of 900 feet in elevation. The height of the atmosphere as estimated by different physicists varies from fifty to two hundred miles, the ele- vation, in either case, at which the pressure would become nil. The altitude of luminous meteors is one of the means used in making this estimate, on the theory that the in- tense heat generated by the friction of the meteor with the atmosphere is the cause of its ignition. Gaseous bodies resemble liquids in the transmission of pressure equally in all directions ; the atmosphere, there- fore, presses downward, upward, laterally, and obliquely with the same force. The pressure of 15 pounds upon each square inch of surface of the human body is counter- balanced, at sea-level, by the internal pressure of the gases and liquids with which the body is supphed. Extreme ele- vations of the person, as in balloon ascensions, or in climb- ing high mountains causes great suffering" because of the 17 PHYSICS. expansive force of these internal agents is not sufficiently counteracted by the diminished pressure of the external air for comfort. A * 'sultry day" in summer, and the same sensation in a steam-heated room, where the vapor escapes from the valves of the radiator, are caused by the extreme heat rarifying the atmosphere at the same time its vapor is condensed. 18 PHYSICS. OUTLINE QUIZZES. ( SECOND PAPER. ) 1. Define Energy. Work. Potential Energy. Kin- etic Energy. 2. Give the units of measure in both the ''practical" and "metric" systems. 3. What is a Dynamometer? Illustrate. 4. What is a machine? Give general law governing machines. 5. Describe one simple machine? Into how many classes are levers divided? 6. Define Hydrostatics. Hydraulics. 7. How does the pressure of liquids differ from that of solids? Describe the hydrostatic press*. 8. To what is the lateral pressure of liquid propor- tional? What effect does the shape of a vessel have upon the downward pressure? ''^ 9. What is the shape of the surface of a large expanse of water? Why? 10. Upon what does flotation depend? Give the laws of flotation. 11. Upon what does the velocity of a river depend? How is a wave propagated? 12. Describe the Overshot, the Breast, the Undershot and the Turbine Wheels. 13. How much of the moving force of the water does the Overshot wheel utilize? What constitutes the impul- sive force of the breast wheel? 14. Describe the "water screw." How may the ad- vantages of the chain pump be increased? 15. Define Pneumatics. Name the two classes of aeriforrh. bodies. 16. Why does the "sky" appear blue? What proper- ties of matter does the air possess? 17. Upon what does the density of the air depend? Give Mariotte's Law. 18. Describe the Barometer. Upon what does, its ac- tion depend? 19. What is the height of the atmosphere? Give one of the methods used in making this estimate. 20. In what respects do gaseous bodies resemble liquids? 19 . M "^^ GENERAL HISTORY. (SECOND PAPER.) "Learn the past and you know the future." THE HEBREWS. - While the Chaldeans, as a nation, were given over to idolatry, a small band of nomadic shepherds still continued monotheistic in their behef , still recognized but one Supreme God as the only God. After the death of Nimrod, "the mighty hunter" and king, they slowly moved up the Eu- phrates valley from Ur, their native province and home, driving before them their flocks and herds, halting for days and months by the sweet waters and mid the rich j^stures of the plains. Later, under Abraham, journeying through the Syrian desert, they tarried for a time at Damascus and thence turned their faces southward, in search of the "Promised Land," and at last stopped at Shechem in Canaan, where the name Hebrews was given them by the Canaanites. This land of Canaan was subsequently called Judea and now Palestine. The Canaanites being residents of the plains, Abraham, for better security against their warlike attacks, settled in the mountain regions and remained here until driven by famine to Egypt. Banished from Egypt on account of the deceit practiced by them upon the Pharaoh, they returned to Canaan. But the journey of the race to Egypt was again forecast (Genesis 15: 13), also the captivity which was suffered by them, beginning with the Pharaoh whom Joseph served as viceroy and ending when Moses led the "Children of Israel" from Goshen to the wilderness of Sinai, an event which is styled in Biblical records the Exodus (going out). g:^n]E^raiv history. "Now, the sojourning of the Children of Israel, who dwelt in Egypt, was four hundred and thirty years" (Exodus 12:40). When (about 1300 B. 0.) the Children of Israel under the leadership of Moses fled from their Egyptian homes, it was not as a small band of seventy persons who had ac- companied Jacob into Egypt in search of food, but a host of over three millions, enriched by the spoil taken upon the eve of their flight from their Egyptian neighbors, and driv- ing before them the great herds from the rich lands of Egypt. Four hundred years of servile subjection to their Egyptian task masters had rendered the Hebrews incapable of exercising any functions of a government. Their mo- notheistic behef had become, to some extent, tinged with the superstitions of Egypt. Accordingly forty years' wandering among the sinaitic wildernesses under the vice- gerency of Moses, — the representative of the Power which was leading them, was the means adopted to purge them of their faults and to prepare them to become the Hebrew nation, instead of a confederacy of twelve wandering tribes. They were ruled for five hundred -years by Judges, whose oppressions finally became too great to be borne, and the form of government was in 1095 B. C. changed into a monarchy by the choice of the people themselves. Saul was anointed king, and upon the death of Saul, David be- came king. The encouragement which David gave to navigation — upon the Red Sea — and trade especially with the Tyrians and Egyptians, did much to increase the wealth of the He- brews by extending the markets for their grains, fruits, wines, and other products, also led to the inpouring of vast stores of precious metals, jewels and fabrics of the skilled 2 g]r?n:e^raiv history, Tyrians, Egyptians and other peoples, thus enabling King David to accumulate the stores of material with which was built the great Temple by his son and successor, Solomon, The reign of Solomon continued from 1015 to 975 B. C, forty years. The glory of the Hebrew nation reached its summit during his reign. The great increase in wealth and luxury caused corruption not alone among the nobles of secular rank, but among the priesthood as well; the re- ligious belief and customs of the people became impure and colored with cruel ceremonies, learned from their idol- atrous neighbors, heavy taxes were imposed upon the people to meet the enormous expenses of the ruling classes; discontent and dissensions were widespread. The tyranny of Rehoboam, the son and successor of Solomon, brought about a revolt of ten tribes jwho set up an .independent kingdom, the Kingdom of Israel with Jeroboam as king. Two tribes remained faithful to King Kehoboam and formed the Kingdom of Judah. The territory of Jeroboam extended partly beyond the Jordan, and from the borders of Damascus — a province of Syria — to within a few miles of Jerusalem, holding a popu- lation twice that of Judah. The kingdom of Israel lasted two hundred and fifty years. It was destroyed during an invasion by the Assyrians, Hoshea, their last king sur- rendering Samaria — city and province— the inhabitants, the '*ten lost tribes" being carried away captives, and dis- persed, it is thought, among the allies of the Assyrians. Babylonians were settled in the captured sections in col- onies, their union with the remnant who escaped death and captivity giving origin to the Samaritan race inhabiting this region during the time of Jesus, the Christ. The kingdom of Judah lasted one hundred and thirty- five years longer than Israel. Zedekiah was the last g^n:^ral history. king of Judah. His capital city, Jerusalem, was taken by Nebuchadnezer, king of Babylon, the temple and city de- stroyed, the king Hezekiah and his people carried captives to Babylon, 586 B. C. For more than fifty years the city existed only as a loved memory with the exiles, until Cyrus, the Persian monarch, who then reigned over Baby- lon, ordered them to return and rebuild the temple and city walls, every Jew being ordered to assist in the work. The Jews remained under the dominion of the Persians until the conquest by Alexander. After his death, 324 B. C, it became subject to Ptolemy, one of his successors. The sovereignty of Palestine became the subject of war between Syria and Egypt. Finally Antiochus, the Great, defeating the Egyptians, Syria became the suzerain. The Jews revolted under the leadership of Judas Maccabeus, who defeated the Syrian army and re-entered Jerusalem 166 B. C, establishing the Maccabean dynasty. They and their successors ruled as high priests, were succeeded by Aristobulus, who in turn was overcome by Pompey, the Roman general. From 37 B. C. to A. D. 44 Judea, as a province of Roman Syria, was ruled by Herod and his lieu- tenants. It was during this period that the long-looked for but rejected Messiah of the Jews, the accepted Savior of the Gentiles was born in the line of David. Once again the Jews, overwhelmed by the tyranny of their Roman masters, revolted. Seizing Jerusalem they attempted to withstand the Roman legions, but the city having been taken, its capture and complete destruction by Titus, A. D. 70, and the final dispersion of the Jewish race occured. The civilization of the Hebrews cannot be said to mark any great impulse in the advancement of art or science. Mankind has inherited but little in this respect, from their G:E^N:gRAI< HISTORY. existence. It is only when we consider the literature and religion of the Hebrews, that we can see how great is the debt owing to this people by the nations of the whole civi- hzed world. Oppressed, banished, tortured, put to death, the despised Jew still proves his religion and his books es- sential elements in modern progress. THE MEDES AND PERSIANS. The Medes and Persians were Aryans, who, coming from the common home of the Aryan peoples, crossed the Hindu Kush Mountains and settled the region west of Mesopotamia. The Medes held the country to the north and had power at first over the Persians. As usual with a young nation, the invasion of neighboring states by them, or the repulsion of invaders of their own state, constituted the bulk of their activities until the period of Cyaxares (625-585), by whom the Median monarchy is considered to have been firmly estabhshed. Cyaxares helped Nabopolassar to destroy the power of Assyria. He endeavored to extend his territory into Asia Minor, but made a truce and an alliance by marriage with the king of Lydia, a country most fertile and rich in gold mines. With Astyages, the son of Cyaxares, the ascendancy of the Medes came to an end, for he was conquered by the prince of Persia, Cyrus the great. Cyrus (558 B. C.-529B. C.) by this conquest and the subjugation of Croesus, king of Lydia, and the king of Babylonia made himself the founder of the great Persian Empire. "In military genius Cyrus excelled all the earher kings of Asia. He overcame his enemies by wise plans and rapid movements. A gracious conqueror, he treated his new subjects kindly. He spared Babylon and permitted the Jews to rebuild their holy city. In him Asiatic history takes a new and higher character." Cyrus was snccceded by his son Cambyses who made conquests in Egypt. GBNBRAi; HISTORY. Darius I, after overcoming the False Smerdis, a pre- tender, came to the throne. He did much for his country both through conquests and by his works of peace. He conquered a district in India, the Punjab, which brought him rich tribute. He extended the boundaries of the Persians into Europe, for he conquered Thrace and forced Macedonia to pay tribute. He marched even into the region now Russia, but his fighting with the Scythian hordes there was unsatisfactory. His most important war was with the Greeks. The cause was as follows. There were along the coast of Asia Minor, colonies of the Ionian Greeks, which had fallen under the power of Persia. While Darius was king they revolted and aid was sent them by their kinsmen in Greece, chiefly by the cities Athens and Eretria. Darius was able to put down the revolt of the Ionian cities and then determined to punish Greece for the help she had sent. He fitted out a great expedition but the fleet was wrecked off Mount Athos and the land forces were defeated in Thrace^ A second expedition was defeat- ed by the Greeks at the battle of Marathon, 490 B. 0. The death of Darius occured before he could carry out his plans of sending a third expedition against Greece. Darius centralized the government of the empire by dividing all his possessions into about twenty provinces or satrapies, with a governor or satrap, appointed by him- self, at the head of each. The satrap collected taxes from the people for the government and also for his own sup- port, which custom gave opportunity for much oppression. Darius succeeded in centralizing the management of the dif- ferent parts of his empire, also by the building of post-roads. He established a coinage, encoi>^ged trade, built magnif- icent palaces at his capitals, Susa and Persepolis, and caused a record of his deeds to be inscribed on a lofty chff , the GBN]gRAL HISTORY. Rock of Behistun. It is through the deciphering of this inscription that it has become possible to read the cunei- form writings of the Mesopotamian peoples and the Pers- ians. The Rock of Behistun is to the cuneiform writings what the Rosetta Stone was to the Egyptian hieroglyphs. Xerxes I, a luxury-loving prince, after much urging took up the war against Greece begun by his father. He sent about three milMon men into Greece over the Helles- pontine bridges, built by Phoenician architects. His fleet numbered about twelve hundred ships. The story of this invasion belongs more closely with Greek history. The fleet of Xerxes was defeated at the battle of Salamis 480 B. C, and Xerxes returned home. The power of Persia de- decMned after the reign of Xerxes I, until in 331 B. C, Darius III, was conquered by Alexander the great. The great buildings of the Persians were their palaces. These were built on high foundations of stone for protec- tion, to secure the cool breezes, and to insure a more com- manding appearance. At Persepohs there are the remains of a platform fifteen hundred feet long, a thousand feet wide, and forty feet high. The stairways leading to the summit are well preserved and show most excellent work- manship. The palaces of the early warKke kings were small and unassuming, while those of the later kings show in their magnificence the change that had taken place in the Uves of the kings from strenuousness to luxury. The sculptures show the same change; the walls of the early palaces are adorned with representations of hon hunts; in the later palaces were seen represented festivities of the court. The Persians had no great temple buildings— an altar and pedestal served as a place of worship. The religion of the Persian was duahstic. They beUeved in one great good G]gN:^RAIy HISTORY. god, Ahura-mazda or Ormazd, and in an evil spirit, Ahri- man, who created reptiles, weeds, and everything that was base. It was the duty of the pious to assist Ormazd by destroying the creations of the evil spirit. The great re- Hgious teacher of the Persians was Zoroaster, and their book the Zenda-vesta. Zoroastrianism was affected by the religion of the Magian priests, or fire -worshippers, who held as sacred the elements of fire, earth, water. The Persian rehgion was the purest, excluding that of the He- brews, of any of the ancient peoples. "In science, and in all the arts, with the exception of architecture, sculpture, and the cuttting of gems, the Persians accomplished nothing great. They were not workers, but warriors and rulers." GREECE (HELLAS). The legendary history— the period of traditions— of Hellas extends from about 1856, B. C. to 776 B. C. The Iliad and Odyssey, of the eighth or ninth century B. C, the most ancient Greek works extant, the writings of Herodotus, of Thucydides, and of Diodorus Siculus, are the sources of our knowledge of this period. The authenticity of Homer, although formerly considered doubtful, has been to some extent corroborated by the ex- cavations made by Dr. Schliemann in the Troad. In the historical period, we find no Greek traditions of the migrations of their remote ancestors from Asia. They believed their forefathers were aborigines, sprung from the sacred mother Gee a. The most ancient people were the Pelasgians, who were still an important factor after the Hellenic tribes appeared. The origin of the Hellenes is unknown except that they were Aryans as well as the Pelasgi. After their appearance the country was called Hellas. The names G:gN}gRAIy HISTORY. Greece and Greek (Graecia and Graecus) are of Roman origin. The era of the predominancy of the Pelasgians was called the Golden Age of Greece. Universal peace prevailed, agriculture was encouraged, architecture flour- ished and plain, massive buildings were erected. The name Cyclopean (from the name of the giant Cyclops) has been given to the masonry of the great walls and tombs from the belief of the later people that only giants could have moved those masses of stone which are still great in their ruins. About 1856 B. C. the great commercial nation of the Mediterranean— the Phoenicians— are said to have founded Argos, the oldest city in Greece. About thre^ hundred years later, Cecrops, an Egyptian, is supposed to have established his followers at Athens, so named in honor of the Greek goddess Athene (Pallas) and also at Corinth in 1520 B. C. In the same year Lelex, an Egyptian, to the followers of whom the name Leleges was given, founded Sparta. In 1485 B. C, Danaus, an Egyptian, whose de- scendants were styled Danai in the legends, arrived at Argos, with his fifty daughters. The legends state that by him the people were first taught to dig wells. In 1350 B. C., Pelops migrated from Phrygia with followers into that section which was called the Peloponnesus, supposedly in his honor. These are now considered fabulous person- ages, with the exception of one, Cadmvis— who is con- sidered an authentic character simply because he is credited with having introduced the Phoenician Alphabet. This legendary period is called the Heroic Age and to it belong the Labors of Heracles (Hercules), the achieve- ments of Theseus, the Argonautic Expedition, led by Jason, in search of the golden fleece, and the Siege of Troy. The narrative of this siege is related in the 9 g:e;n:e^raI/ history. Homeric poems, and tlie heroes, the Greek; Achilles, Agamemnon, Menelaus and Ulysses, and the Trojan; Hector, Priam and Aeneas are as well known as the warriors of more authentic times. In this Heroic Age, the Greeks lived in strongly forti- fied towns, richly adorned palaces and temples giving evi- dence of their wealth and luxury. Their extent of coast- line and fine harbors made maritime intercourse easy and brought the civilization of other lands to them and the great virtue of hospitality to strangers was inculcated. Warhke courage was esteemed the highest virtue, an opinion which was one cause of the almost constant wars. Women were held in great respect. Slavery existed. Polytheism caused the erection of many temples to the gods, and strong re- hgious sentiment produced great reverence for the priests. There were twelve chief deities who lived on Mount Olympus: Zeus, king of the gods and wielder of thun- der-bolts; Hera, his wife, the jealous queen; Poseidon, the god of the sea; Ares, god of war; Apollo, god of hght, healing, music, poetry, prophecy, who had oracles in many cities, the chief being at Delphi; Artemis, the huntress, twin- sister of Apollo; Aphrodite, goddess of beauty and love; Hephaestus, the deformed god of fife, the forger of metal and implements of war, and of the thunderbolts of Zeus; Hermes, messenger of the gods; Demeter, goddess of the harvest; Pallas- Athena, god- dess of wisdom; Hestia, the goddess of the hearth. There were many minor deities as Hades, god of the lower world; Dionysus, god of wine, in whose honor were given all the plays in the theaters. Besides these almost every manifestation of nature was personified, and sea and earth were peopled with half- divine nereids, nymphs, naiads and other creatures, many of them ugly monsters. 10 g]5^n:^ral history. This was the religious belief of all the Greeks with the ex- ception of a few philosophers, until Christianity was in- troduced. The Greeks never became a united nation partially be- cause of geographical conditions. Separated as they were by seas and mountains, they gathered into independent city-states of which Sparta and Athens were the most im- portant. SPARTA. In early times the Acheeans were in the ascendancy, their control extended over the three Kingdoms of Argos, Mycenae, and Sparta, but the peculiar discipline of the Dorians, forming them into a great, war-like j^ople, sub- sequently caused them to surpass the Achseans in influence among the people of the Peloponnesus, and the seat of their greatest power was Sparta. The government of Sparta was aristocratic or ohgarchical. liycurgpiis, their great law-giver, by his laws fostered the natural trend toward war-Mke pursuits. According to his regulations all infants were examined by an appointed committee and the weak were exposed in desolate places to die. At the age of seven every Spartan boy was put in charge of a boy- trainer, and taught to endure great pain and hardship, and no education other than physical or military was given. All boys and men were obliged to eat at a public table, where no luxury was permitted. Iron money was used in order to discourage foreign trade and the introduction of luxuries. These laws made the Spartains a nation of war- riors, but there were no great artists, writers or statesmen among them. Family life was destroyed and the people made harsh and cruel. These laws were intended only for Spartans* the Dorian conquerors, who spent their time in n Gl^NICRAi; HISTORY. military and govermental affairs while the Perioeci (the conquered Achaeans), and the Helots or slaves cultivated the fields. By the middle of the sixth century B. C, the Spartans had the mastery over most of the states in the Peloponnesus. The hardest struggle came in the Messenian Wars, in one of which the Spartans were incited to victory by the war-like songs of the lame school-master, Tyrtaeus. ATHENS. The earliest government was a Kingdom, -and one of the most famous kings was Theseus, who, according to legend, freed Athens from the annual tribute of youths and maidens to the Minotaur of Crete. By the seventh century B. 0., the government had gradually changed to an ohgarchy with nine arclions chosen from the nobles as the governing power. The Council of the Areopagus, an aristocratic body, made up of ex-Archons, was the final court of appeals. This body existed for many years and was probably the council before whom Paul, the Apostle, appeared. The dissatisfaction of the lower classes led the government to appoint Draco to frame new laws. He also instituted a second council which was a more democratic body than the Areopagus and was called the Council of Four-hundred-and-one. But his laws were harsh and un- satisfactory, and a generation later Solon was appointed to frame a new constitution. 'He reorganized the council of Draco into the famous Council of Four-hundred. All classes except the lowest (the Thetes), were allowed to hold ofiice, and even that class were allowed a vote in the Ecclesla or Popular Assembly. He brought about an important reform by forever abolishing the practice of selling as slaves the person and family of a debtor. Solon was the real founder of Democracy in Athens, and his laws 12 g:^n:erai, history. were so just that their influence has been felt in the con- stitution of many nations. The laws of Solon were set aside for a time when the goverment was seized by the tyrant Pisistratus. In many of the Greek states such tyrranies arose and existed for a generation or more, and many times were beneficial. This was true in the case of Pisistratus (560 B. 0.-527 B. C). He was a patron of learning, opened the first public hbrary in Athens, and had the Homeric poems collected and edited. He also laid out the great Lyceum, a public park, where later the great teacher, Aristotle, discoursed on philosophy to his pupils. Pisistratus was succeeded by his two sons, Hipparchus and Hippias, but the former was soon assassin- ated and after a few years the latter was expelled and the democracy restored. At this time Cleistlienes, a noble, whose interest, nevertheless, was in the welfare of the people, added new laws, which made the government more democratic than before. All the free inhabitants of Attica, were divided into ten trilbes, the tribes into one hundred townships or denies, and all were admitted to the Ecclesia. The council of Four-hundred was changed to a council of Five -hundred, fifty from each tribe, and citizen- juries were estabhshed. In order to prevent an unpopular faction from seizing the power, he instituted ostracism, by means of which any one could be banished for ten years by the vote against him of six thousand citizens. The name of the citizen to be banished was written on a shell, in Greek ostrakon, and hence arose the word ostracism. GRAECO-PERSIAN WAR. The cause of the struggle between the Greeks and Persians has been given in the history of Persia. It was in 500 B. C, that the cities of Asia Minor revolted and 13 G:^N]gRAIV HISTORY. 490 B. C. that tlie second expedition of Darius was de- feated at Marathon by a small army of Athenians and Plataeans under the Athenian general Miltiades; he was one of ten generals who were appointed to rule a day at a time. On this occasion, following the generous example of Aristides, all surrendered their turn to Miltiades. The bat- tle of Marathon was fought at the town of that name in Attica, a day's journey from Athens. The Persians em- barking from their ships were scarcely drawn up on the plain when from the hills, which rose amphitheater-like, the Greeks descended upon them. Utterly routed, the Persians fled to their ships. They sailed to Athens, but shrinking from meeting again the warriors of Marathon, who had in the meantime marched overland to meet them, they returned to the coasfc of Asia. The efforts of Xerxes to conquer Greece were on a more magnificent scale. He had pontoon bridges laid across the Hellespont and store-houses for grain built along the Mne of march in Asia and Thrace. Herodotus estimated his fighting force at over two millions, but prob- ably there were about nine hundred thousand soldiers. The preparations of the Greeks were hindered by the jealousy between the states, but at a congress held at Corinth (481 B. C), plans were made to meet Xerxes at the pass of Thermopylae. Here (480 B. C.) Leonidas, king of Sparta, with three hundred Spartans and a few thousand allies, while waiting for re -enforcements, until the sacred games should be fininshed, held back the vast Persian army. Finally a Greek traitor revealed to the enemy a secret pass. Leonidas dismissed the allies, only the seven hundred Thespians choosing to remain, and they with the little band of three hundred Spartans were completely annihilated, To Spartans surrender was far worse than 14 G}gN:^RAL HISTORY. death. The Persians inarched on to Attica, ravaging the plains as they went, and burned Athens. No resistance was made, as the women and children had been taken to places of safety and the able-bodied men were all on the ships. The Persian and Greek fleets met at Salamis, 480 B. C, and the Persians were so completely routed that Xerxes, with most of his land f orces, made a retreat into Asia. Credit for the strength of the Athenian fleet and for the naval victory at Salamis was due to the statesmanhip of Themistocles, who, ever since the invasion of Darius, had bent all his efforts to strengthening the power of Athens on the sea. In carrying out this poli^, he had come in conflict with Aristides, called the "Just". In consequence Aristides had been ostracised, but was recalled in time to take part in this battle. The year following (479 B. C.) the forces which Xerxes had left in Greece under Mardonius, were defeated at Plataea by the Spartan Pausanias, and the Persian fleet was again defeated at Mycale, off the coast of Asia Minor. These battles closed the war. Far greater interests were staked on the issue of this war than those for which the combatants struggled. The supremacy of the West over the East was achieved, and Hellenic culture and institutions were passed on to the world rather than the civihzation of Persia. The half- century following the Persian war was the brightest in the history of Greece. The states soon re- covered from their losses. Through the influence of Themistocles, Athens was rebuilt and protected by a strong wall. Ships were added yearly to her fleet, and her har- bors were enlarged and strengthened. 15 G]gN:^RAI, HISTORY. A league of the states of Greece, Asia Minor and the Aegean Sea, called the Confederacy of Delos, was formed for protection against further encroachments of Persia. Aristides was the first president, and Athens gained great power through her supremacy in this league, and by her fraudulent use of the funds, especially after the treasury was moved from Delos to Athens. She built up what was virtually an empire with the allied states under her sway. The enthuisiasm roused by the great victories which the Greeks had won brought out the greatest genius that was in the Greek race. Among the writers who flourished during this century (Fifth) were the three great tragedians, Aeschylus, Sophocles, and Euripides; the writer of comedy, Aristophanes; Pindar, the greatest lyric poet of the Greeks, who sang of the victors in the national games, Herodotus and Thucydides, the historians. It was at this time that the most beautiful buildings of the Greeks were erected. Among temples, the Parthenon on the Acropolis at Athens, devoted to the goddess Athena, is the most perfect example of the Doric style of archi- tecture, and the ]S"ike temple, or temple to Victory, at the entrance to the Acropolis, of the Ionic. The greatest sculptor of the world, Phidias, had charge of the decora- tion of many of these buildings. He made for the Par- thenon a colossal statue of Athena, forty feet high, of gold and ivory; one of Zeus for the temple of Zeus at Olympia, a statue considered so beautiful by the Greeks that they considered it a misfortune to die without having looked up- on it. The exquisite frieze of the Parthenon was his work and pediments of that temple, portions of which can be seen today in the British Museum, were at least designed by him. 16 G:igN:^RAi:, history. The most brilliant period of Athenian history ia **The Age of Pericles." From 469 B. C. to 431 B. C, the in- fluence of Pericles over Athens and all her undertakings, was very great. He was one of her greatest statesmen. In addition to the hterary and artistic activity of this period advances were made toward a more perfect democracy, and every citizen was quahfied to hold ofl3.ce. The navy was strengthened and Athens made more impregnable by the fortifying of her harbors, and the building of the Long Walls, which connected Athens with the seaport towns Piraeus and Phalerum. Citizens were paid for attending the Ecclesia, acting on juries and serving in the army, and salaries were attached to all public oflSces. These measures enabled the poor as well as the rich fco take part in state affairs, but they and the more pernicious custom of giving free theatre and dinner tickets to the poor engendered idleness and a lack of frugality. The prosperity of Athens was diminished also by the discontent of the states in the Delian Confederacy who chafed under the restrictions laid on them by Athens. PELOPONNESIAN WAR. In 431 B. C, came an end to the prosperity of Greece, for Sparta and Athens became involved in the Pelopon- nesian War. The real cause was jealousy existing between the two states; the immediate cause, the violation by Athens of the Thirty Years' Truce, which had been formed in 445 B. C. By the terms of the truce neither state was to interfere with the allies of the other. But Athens became involved in war with Corinth, an aUy of Sparta, in two ways; first, by giving aid to Corcyra, a colony of Corinth which was having trouble with the mother state; and, secondly, by attempting to chastise Potidaea, a colony of Corinth, for trying to withdraw from the Delian Con- federacy. 17 g:e^nkrai< history. In 431 B. 0. war was declared. The two sides seemed about evenly matched. Sparta had the best organized land forces, for most of the states of the Peloponnesian and all of the states of the Boeotian League, headed by Thebes, were on her side. Athens had the best navy in Greece, and the states of the Confederacy of Delos were her allies, and Plataea, which refused to join the other Boeotian states. Great cruelty was practiced by both parties. Plataea, an ally of Athens, was entirely destroyed by the Spartans in a spirit of revenge. Athens showed herself equally harsh in her punishment, for revolt, of the island city Mitylene. Athens gained some successes in the Peloponnesus, but was defeated at Delium in Boeotia, 424 B. C, and suffered from revolts in the north. Finally the Peace of Nicias was made in 421 B. C, to last fifty years; but in 415 B. 0. the Athenians sent out the Sicilian Expedition, which more than anything else brought about the ruin of Athens* This enterprise was planned by Alcibiades, an un- principled, but most attractive and beloved leader of the Athenians. In Sicily and Southern Italy (Magna Graecia), were some of the most important colonies of the Greeks, Dorian and Ionian settlements. It was the plan of Alcibiades to break the power of the Dorians in Sicily and then utterly crush Sparta. But the expedition was a complete failure, and Athens after this lost rapidly. The Spartans captured Decelea, a town twelve miles from Athens and her allies, the states of the Delian League, de- serted her; there were dissensions between the ohgarchical and democratic parties at Athens, and finally in 405 B. C, the Athenians wer6 defeated on the coast of Thrace at Aegospotami. The next year, 404 B. C, Athens was conquered and an ohgarchy was set up there by Sparta. 18 g:^n:e?ral history. Sparta held the supremacy in Greece only a short time because of her tyranny. In 371 B. 0., in the battle of Leiictra, she was defeated by the Thebans under their great leader, Expaminondas. Thebes freed the states of the Peloponnesus from the tyranny of Sparta, but by her successes roused the jealousy of the other states. Athens and Sparta formed a league against her, but were defeated in the battle of Mantinea, though the death of Epaninondas was to the Thebans equal to defeat. MACEDONIAN SUPREMACY. The Greek states paid dearly for their jealousies and strife, for opportunity was given for the incursions of the strong Macedonian power in the north. Shortly after the battle of Mantinea, the Second Sacred War was begun between the Delphic Amphictyony, a council formed be- fore the sixth century B. C. for the protection of the shrine of Apollo at Delphi, and the Phocians who had robbed the sacred lands. The council called on King Philip of Macedon for aid. Gladly he entered Greece, and after the defeat of the Phocians took their place in the Amphic- tyony. In 338 B. C. the Athenians and Thebans were roused by Deniostlienes, the greatest orator of the Greeks and of the world, to resist the encroachments of PhiUp. They were defeated at the battle of Chaeronea in the same year and Phihp became the ruler of Greece. His victory was due to the power of the Macedonian phalanx, an ar- rangement of soldiers employed first by Philip. Alexander the Great succeeded his father, Philip, in 336 B. C, and came into possession of Macedonia, Greece, Chalcidice and Thrace. After two years spent in suppressing revolts, he crossed the Hellespont with thirty- five thousand men, and set about the conquest of the Per- 19 G:^N:E;RAiy historv. sian Empire, a project which Philip had had in mind at the time of his death. Everywhere he was successful. The battle of Granicus gave him Asia Minor, and he defeated the Persian king, Darius III, at Issiis. Next he subdued the Phoenicians, taking Tyre after a siege of seven months. The Egyptians, against whom he next marched, surrendered without a struggle. In Egypt he founded the city Alexandria and had himself proclaimed the son of Zeus Ammon, as his vanity was insatiable. Returning to Asia he conquered Darius in the battle of Arbela, and the Persian Empire was at an end. He captured Babylon, Susa and Persepolis, burning the latter in revenge for the burning of Athens. He took great treasure from the Persian cities. He subdued the inhabitants along the shores of the Caspian, conquered the countries north of the Hindu Kush Mountains, and part of "India; he redis- covered the water-route from the Indus to the Euphrate, His plans for the conquest of the western world wei frustrated by his death. It lias been said that the geni^ of Alexander was greater than his character. His deat , was the result of his excesses and his vanity was equalle f only by his ambition. He was, however, a most ab general and commanded the love and loyalty of h soldiers. "The great and permanent result of Alexander's con quests was the Hellenizing of all Western Asia and Egyp — that is the diffusion of Grecian civilization, ideas, Ian ^ guage and literature over this vast region; thus preparinj , the way for the birth and development of Christianity.' W "On the other hand, Greece became influenced by Orienta habits; Grecian patriotism and public spirit declined; ar< :■>' and literature decayed; and the Greeks became a nation oi'% pedants and adventurers." 20 GlgNDgRAi; HISTORY. No one man was strong enough to hold together the vast empire of Alexander the Great, and after some years of struggle between his generals, the territory was divided into four large kingdoms and several smaller ones. The history of the more important of these kingdoms is as fol- lows: The Kingdom of Lysimaclivis comprised Thrace and a part of Asia Minor, but this kingdom was soon ab- sorbed by the others. The Kingdom of Cassander comprised Greece and Macedonia, but the Greeks were never willing subjects and carried on the Lamian War against their masters. Macedonia was successful, and Demosthenes, the great statesman and orator took poison to escape falhng into the hands of the Macedonians. Macedonia incurred the anger of Rome by giving aid to Carthage in the Second Punic War and was overcome in the battle of Pydna 168 B. 0. Greece, torn by dissensions between two leagues that had been formed, the Achaean and AetoMan— fell a prey to Rome in 146 B. O. and Corinth was burned to the ground. During the period of Mace- donian supremacy, there was httle addition made to Greek literature or art. The subjugation of the Greeks seemed to have crushed all artistic and literary aspirations. Translations were made and the works of earher authors were commented upon, but scarcely any original work was produced. Syria, the Kingdom of Seleucus Nicater em- braced nominally the conquests of Alexander in Asia from the Mediterranean to the Indus and from the Caspian Sea to the Persian Gulf. Seleucus was a great founder of cities, some of which, as Antioch on the Mediterranean, be- came famous as centers of trade. These cities were settled 21 GI^NKRAI/ HISTORY. "* by Greek colonists and thus were the means of spreading through Asia, Greek culture. Syria was stripped of many provinces during the reigns of the successors of Seleucus and finally in 63 B. C. was conquered by the Roman general Pompey. Perhaps the most important of the divisions of Alex- ander's Empire was the Kingdom of the Ptolemies which comprised Egypt and some provinces in Western Asia. Its capital was Alexandria in Egypt. Alexandria became one of the greatest trade centers of the world. Trade was facihtated by the building of great fleets, the building of the Pharos or hght-house in the harbor and the reopening of the canal of the Pharoahs which united the Red Sea and the Nile. Alexandria became also the center of learning of the world. A great hbrary was built and a museum or university, with zoological and botanical gar- dens and observatories connected with it. Scholars from the whole world availed themselves of the advantages for study offered here— among them such men as the geometer Euchd. Corruption in the ruhng family, and constant dis- sensions, due largely to family intermarriages, caused the ruin of the kingdom during the reign of Cleopatra. Egypt was conquered and made a Roman province in 30 B. 0. by Octavius Caesar. CONTRIBUTIONS OF THE GREEKS TO CIVILIZATION. "Among those treasures of Hellas, possessed as heir- looms by the world of today, there are perhaps none which we should prize so highly as the ideas of intellectual and pohtical hberty which the Greeks were the first to conceive and make real" (Botsford). The conditions which de- veloped in Greece pure democracy have not appeared in the world since, ^ The natural beauty of land and sky and sea, which influenced the mind toward noble thoughts; the 22 GBNl^RAL HISTORY. genial, equable climate, which brought no hard conditions into life, but simplified it; its water boundaries which, though making commerce and intercourse easy, preserved its institutions from ahen influence so usual in most situa- tions through constant border^ incursions, all tended to develop the Hellenes, naturally so incUned, into a most in- tellectual, spiritual, temperate race, and democracy was possible. With such environment and heredity a galaxy of thinkers and workers appeared such as no other nation has boasted. First came those who studied into natural phenomena, the composition of the earth and the relations of the heavenly bodies, like Anaxagoras and Protagoras; then the moral philosophers Socrates, Plato and Aris- totle, whose Rhetoric and Poetics are known to every student of literature; Phidias and Praxiteles, whose creations are models in art; Demonstlieiies, still known as the greatest orator of the world; Solon, whose princi- ples are still guiding nations. Pericles, and Miltiades, besides the many names renowned in literature, beginning with the bhnd Homer and the nameless singers who pro- duced the Homeric poems. Myers writes: "In literature, the Greeks far surpass every other people of antiquity. The degree of excellence obtained by them in poetry, in oratory, and in history, has scarcely been surpassed by any modern people or race. Here, as in art, they are still the teachers of the world." 23 G:gNlSRAI, HISTORY. OUTLINE QUIZZES, SECOND PAPER, 1. Trace the wanderings of Abraham from Chaldea to Egypt. 2. What was the Exodus? 3. What effect had their slavery in Egypt upon the Israelites? What was the first form of government of the Hebrews after their arrival in the "promised land"? 4. Describe the reign of Solomon. 5. What was the Babylonian Captivity? 6. Who was the founder of the Persian Empire? 7. With what peoples did Darius I carry on war? 8. Describe his reforms in the goverment of Persia. 9. What was the greatest undertaking of Xerxes I? 10. Describe the religion of the Persians. 11. How did the geography of Greece affect the his- tory of the people? 12. What is meant by the Heroic Age? Name two events of that period. 13. Who were the following: Zeus, Apollo, Ares, Athena? 14. What was the aim of the regulations of Lycurgus? Were they successful? 15. Describe the reforms of Solon. 16. What was the Ecclesia, ostracism, a deme? 17. What was the cause of the Graeco- Persian War? The outcome? 18. What was the cause of the Peloponnesian War? The outcome? 19. Who were the following: Pisistratus, Pericles, Themistocles, Demosthenes? 20. Give the extent of the territories of Alexander the Great. Why was the Kingdom of the Ptolemies im- portant in the world's history. 24 CIVIL GOVERNMENT. (SECOND PAPER.) "Man is bom to be a citizen." GOVERNMENT WITHIN THE STATE. From 1776 to 1789 the states were banded together with the purpose of meeting dangers which were common to all, but each state clung tenaciously to the idea of state sovereignty; and the union of these states under the Articles of Confederation could not correctly be called a Governmental Union. In 1789 the Constitution was adopted and from being a Band of States, the states, united, became a Banded State. The powers delegated to the national government were such as related to matters that concern all the states alike. "The powers no^ dele- gated to the United States by the Constitution, nor pro- hibited by it to the states, are reserved to the states re- spectively or to the people." The governmental powers exerted within the state by or under the authority of the state government, are those which most closely and most frequently affect the every-day life of the citizen. Ex- cept through the Postoffice Department the National Gov- ernment seldom affects him directly. A great statesman has said: "It will not be denied that the State Government touches the citizen and his interests twenty times where the National Government touches him once. For the peace of our streets and the health of our cities; for the administration of justice in nearly all that relates to the security of person and prop- erty, and the punishment of crime; for the education of our children and the care of unfortunate and dependent citizens; for the collection and assessment of much the larger portion of our direct taxes, and for the proper ex- civil/ GOVERNMENT. 1 penditure of the same, for all this, and much more we de- pend upon the honesty and wisdom of our General As- sembly (or legislature) and not upon the Congress at Washington." LOCAL GOVERNMENT. The Home has an important bearing npon government proper. It is, in itself, a complete government as far as the children are concerned. The parents exert executive, legislative and judicial authority. By them, certain rules of conduct are laid down for the children to follow; this is legislative. By them, decisions are made relative to the violation of these rules, testimony is heard in cases of dis- pute; this is judicial. By them, too, when judgment has been pronounced, the penalty is inflicted; this is executive. In the home the child is prepared for his hfe as citizen. There he learns to submit to authority and to respect the rights of others— two very necessary quahflcations for good citizenship. In much the same way the discipline of school life is a valuable preparation for citizenship. In school, as well as in the home, there must be submission to legitimate au- thority; but, also, new duties arise because of the fact that the child is a member of the school. Indeed we might call the child a citizen of the school, a good or bad citizen in proportion to his obedience, his performance of school tasks, and his personal attitude toward his playmates. In this last item is a feature that must not be overlooked. On the playground and in the class organizations and the so- cieties of the more advanced grades, the idea of working together systematically to attain a common object becomes a famihar and natural process and the choosing of certain pupils to act for, or as leaders of the others, brings into civil/ gov]^rnm:ent. operation the principle of representation, which play such an important part in all divisions of our government. THE SCHOOL DISTRICT. By some writers the school district is considered the smallest division of our government. The objection to this might be raised that it exists for a specific purpose and not to exert general governmental control and there- fore should not be called a division of governmentj but it is better to class it thus because its officers are duly elected by the citizens of the district and are a truly rep- resentative body. The officers of the district are called directors. They are three in number. They have in charge the general supervision of school affairs in the dis- trict; They employ the teachers; they keep the school buildings in repair, they make rules and regulations for the school; they ascertain how much money is needed to conduct the school for the ensuing year and certify this to the proper authority; they purchase school supphes and sometimes furnish books for needy children. In cities the work of directing schools is done by Boards of Education whose work is similar in nature to that of the directors but more extensive. THE TOWN OR CIVIL TOWNSHIP. The usual officers of the civil township are: the Su- pervisor, who is the chief officer, has general directive power and acts as treasurer of all township funds except the money used for the construction of roads and bridges; the Clerk, who keeps all records of the town, gives notice of town meetings and acts as secretary of the same; the Assesssor, who estimates the taxable value of property; the Collector, who collects the taxes; the three Road Commissioners, who improve the roads in any way that they deem best, (one acts as treasurer of highway funds ) ; civile GOVBRNM:gNT. the Justices of the Peace, (usually two), who have limited jurisdiction which varies in different states; and the Constables, (usually two), who are guardians of the peace. THE COUNTY. The county varies in extent, shape, and somewhat in its government in different states. In many of the eastern and southern states they are irregular in shape and vary in extent from an average of about 307 square miles in Ken- tucky, to 1,000 square miles in South Carohna. In the west they tend toward greater uniformity in aU respects. THE COUNTY BOARD. In counties having township government, the legisla- tive body of the county is made up of the Supervisors and Assistant Supervisors from the several townships. It should be noted that these officials are elected township officers, and are members of the County Board ex-offiicio. This Board is called the Board of Supervisors. As the number of Assistant Supervisors is guaged by the increase of population it follows -that the more dense the population in the towns, the larger is the Board of Supervisors. In counties not under township organization the Coun- ty Board is made up of three Commissioners elected at large in the county. These must legislate for and adminis- ter the affairs of the county in practically the same way as does the Board of Supervisors. The County Board passes measures for the promotion of the public welfare within the county and makes appropriations from county funds to carry out such measures. It may assist the towns in the construction and repair of roads and bridges. Where there is no town government, the commissioners divide the county into road districts. The County Board provides for the payment of salaries of county officials, and for civil/ GOVBRNMBNT. other contingent expenses. The poor of the county, the public health, the court house and other property of the county, are important details which the County Board has in charge. THE COUNTY CLERK. This oflScer keeps the official seal of the county and affixes it to documents requiring it. He grants marriage licenses, keeps a record of the same and has charge of other county records, books and papers. He attends the meetings of the County Board and records its proceedings. He acts as clerk of the county court. A copy of any coun- ty record may be obtained by the payment of a fee. THE SHERIFF. ^ The sheriff, assisted by deputies, makes arrests, cares for prisoners, has charge of the county jail; when author- ized by the court, conducts convicted persons to the state penitentiaries and dependent persons, such as lunatics, to other state institutions. It is his business to quell any riot or other general disturbance in the county. He may depu- tize others to help, and, if with this help he is unable to cope with the disturbing element, he may call upon the governor of the state to send state troops. If these, in turn, should be unable to restore peace, the governor may call upon the president to send U. S. troops. Thus, indi- rectly, the sheriff has back of him the military power of the nation. TREASURER. This officer has the responsibility of caring for all county funds and of keeping a faithful record of the re- ceipts and expenditures. The county funds have their origin in taxes, fees, and fines. He disburses money only upon authorization by the County Board. civiiy govkrnm:e^nt. CORONER. If a person dies suddenly and there is no physician to vouch for the cause of the death, it is the duty of the Coroner to summon a jury to investigate the cause, and re- port the same. If this jury finds that death was caused by foul means and there is strong suspicion against some one, that person may be arrested and held for preUminary ex- amination. The Coroner usually serves as sheriff in case the latter official is incapacitated and may arrest the sheriff if he turns criminal. THE RECORDER. In some counties the clerk of the circuit court acts as Recorder. In others of greater population this is a distinct office. The Recorder is required to keep on file deeds, mortgages and other papers relating to the transfer and ownership of real estate. STATE'S ATTORNEY. This officer is sometimes called County Attorney. He is called State's Attorney because he prosecutes of- fenders against the laws of the state within his county. This is his chief duty; but he is also the legal representa- tive of the county and defends county officers when suits are brought against them as officials. COUNTY SUPERINTENDENT OF SCHOOLS. Another important officer of the county is the Super- intendent of Schools or School Commissioner as he is called in some states. He has general supervision of the public schools throughout the county. It is his duty to keep pace with current educational thought, so that he may be more able to incite teachers to adopt improved methods; to visit schools and to suggest ways of correcting any ex- isting weaknesses; to hold teacher's institutes; to conduct 6 civil/ GOV:^RNM]gNT. examinations of teachers and to issue certificates to those who are qualified; and to advise school trustees and directors in regard to their duties. CITY GOVERNMENT. The representative system does not seem to work so well when applied to the government of large cities as it does in the national and state governments or in the other branch- es of local government. In the first place the problem is a new one, the cities having grown so rapidly that the manner of government could not be adjusted to meet the new needs arising from the immense increase in population. In 1789 the largest city in the United States, Philadelphia, had but 42,000 inhabitants. It now has about one and one -fourth milMons. New York had 33,000; it now has al3but three and one-half millions. In 1840 Chicago had but 4,000 in- habitants; it now has more than one and one -half millions. In a large city there is much opportunity for the organiza- tion of cUques or rings of politicians for private gain at public expense. From 1868 to 1871 the government of New York City was under the control of a band of political conspirators called the Tweed Ring, who, during that time, robbed the people of millions of dollars. There are so many offices to be filled that voters cannot know whether the candidates are qualified or not; nor can they keep track of their actions after election. A great many po- sitions are filled by appointments which are frequently made as rewards for pohtical services rather than because of merit; and if the persons holding the appointing power are corrupt, that corruption spreads like a contagious dis- ease through the whole body of the city government. THE MAYOR. The city executive officer is the Mayor, whose business it is to see that ordinances of the city are enforced and that the city officials and employes perform their duties. He has extensive appointing power, usually subject to the ap- proval of the council. In most cities he presides over the meetings of the council but has no vote unless there is a tie. THE CITY COUNCHi. The legislative body of the city is the City Council, which in most cities is made up of two chambers, called the Aldermen and the Common Council. This council makes laws called ordinances, for the city, but these must be in accord with the laws of the state. It decides how much money is to be raised by taxation for the support of the city government; it provides for a pohce force to pro- tect Hfe and property; it provides for protection against fire through a fire department, the building and repair of streets, the erection and care of city buildings, the con- struction of waterworks and fighting plants, the health of the city, the promotion of education in the city through public fibraries and other means, the granting of charters or franchises to street railways and other corporations. All these, and many other details of a minor nature come within the jurisdiction of the city council. The city clerk, treasurer, city attorney, comptroller, city engineer, and pohce -magistrate should be mentioned as important of- ficers of a city. Most of the work of administering the af- fairs of the city is done by standing committees appointed by the mayor from the members of the city council. (Suggestion. — Wherever it is possible a student of Civics should call on local officials and talk with them personally about their duties and about any other matters with which they are concerned as repre- sentatives of the people; in this way information would be obtained first hand, special features which a text-book cannot include could be noted, and the men who hold office would be to the student, not imagrined embodiments of principles, but living-, visible, human parts of the great body politic. Another method that ought to be used by a student, who cares to keep up with the times, is to clip from newspapers items that 8 civiiy gov]5?rnm:e^nt. illustrate principles relating to the government of our country. These items as they are collected from day to day, should be pasted, one on a page, in a blank book, and beneath, on the same page with the clipping should be written an explanation of the principle involved. At least fifty such clippings should be collected.) STATE GOVERNMENT. The chief executive oflacer of the state is the Governor. His most important duties and powers are, practically, the same in all the states. 1. When the legislature meets, he sends a message to it setting forth his views on important questions and ad- vising needed legislation. 2. As commander-in-chief of the state militia, it is his duty to assist in quelling any disturbance in the state that the sheriff cannot quell. He may not engage in wjr unless the state is actually invaded; but the President may call upon him to assist, with the miMtia, United States troops. 3. The governor has the power of pardoning offend- ers against state law. Where there is a State Board of Pardons, the governor acts upon its recommendations. It is easy to see that a governor who is inclined to abuse this power may turn loose vile and undeserving criminals, those human leeches that prey upon the hfe-blood of society and thus reverse the movement of the machinery of justice. 4. He may veto bills that have been passed by the legislature. In four states, viz: Rhode Island, Delaware, Ohio and North Carohna, the governor has not this power. In thirteen states the governor may veto parts of a bill that is concerned with the expenditure of state funds, without vetoing parts which he approves. By a two- thirds vote of both houses a bill may become a law not- withstanding the veto. The other usual executive officers of the state are, the Lieutenant-Governor, who might be called vice-governor, '.M civiiy gov:e^rnm^nt. since he acts as governor if that official is incapacitated; the Secretary of State, who has charge of state records; the State Treasurer, who guards the funds; the Auditor, who is sometimes called the state book-keeper, and on whose order the treasurer pays out money; the Attorney - General, who acts as lawyer for the state and is the legal advisor of state officials; and the State Superintendent of Public Instruction, who is adviser of county superintend- ents and is the head of the whole public school system of the state. These officials are all elected by popular vote. There are many other officials, such as mem- bers of State Boards, and heads of state institutions, such as asylums for the insane, schools for the deaf and dumb, or for the bhnd, orphans' homes, etc., who are ap- pointed by the governor, subject, usually, to approval by the senate. The State Legislature, or, as it is called in some states, the General Assembly, is the legislative power in the state. It has two divisions, the upper house and the lower house, or, the senate and house of representatives. The members of these two divisions all represent population. The sena- tors being fewer in number than the representatives, rep- resent, each, a greater number of people. The usual term for senators is four years, for representatives, two. As far as rank is concerned the members of the two houses are equal. ^*The suffrage by which the legislature is elected is al- most universal. It is given in all the states to all male citizens who have reached the age of one-and-twenty. In many it is given also to denizens of foreign birth who have declared an intention of becoming citizens. In some it is given without further specification to every male inhabi- tant of voting age. Residence in the state for some period, 10 CIVIIy GOV:i^RNM:gNT. varying from three months to two years and a half is also generally required; sometimes a certain length of residence in the county, the town or even in the voting precinct, is prescribed. In many of the states it is necessary to have paid one's poll-tax. There is no longer any property quahfication, though there was until recently in Rhode Island. Criminals, idiots and lunatics are excluded from the suffrage. Some states alone exclude duellists and men who bet on elections. Connecticut and Massachusetts shut out persons who are unable to read. In no other country has access to citizenship and the suffrage been made so easy." —John Fiske. THE STATE JUDICIARY. Each state has a complete system of courts for*the ad- ministration of justice in all cases both civil and criminal that do not include a violation of United States law, and that do not involve the interpretation of the United States Constitution. The courts of the justices of the peace have been mentioned as the lowest of the courts within the state ; their jurisdiction is lihaited to minor offenses and civil suits involving a small amount of money. The supreme court of the state is the final court of appeal. Between these two we find: the county court, the probate court, the circuit or superior court and the appellate court. (Note to the Student.— We expect to prepare a paper devoted entirely to a discussion of the g-overnment of your state. We need not, therefore, continue farther this general treatment of state g-overnmetit.) THE CONSTITUTION OF THE UNITED STATES. PREAMBLE. We, the People of the United States, in order to form a Tfiore perfect union, establish justice, insure domestic tran- quility, provide for the comfimon defense, promote the general welfare, and secure the blessings of liberty to ourselves and our posterity, do ordain and establish this Constitution for the United States of America. n civil/ GOVBRNMBNT. The governmental power emanates from tlie people considered as a unit. The purposes of the government were, "to form a more perfect union than had existed be- fore; the states had been working independently of each other; to 'estabhsh justice' which had frequently been denied by one state to citizens of other states who hap- pened to be within its borders; there had been no national courts; to insure domestic tranquihty"; internal dissen- tions between states and within each state had been com- mon; "to provide for the common defense"; the necessity of a common defense brought about the union of the states; to "promote the general welfare"; this would cover all phases of proper government; "and secure the bless- ings of hberty to ourselves and our posterity;" liberty was the bright star of hope to the colonists and this new basis of government was to guarantee liberty. ARTICLE I. — LEGISLATIVE DEPARTMENT. Section I. All legislative powers herein granted shall be vested in a Congress of the United States, which shall consist of a Senate and House of Representatives. Most of the framers of the constitution were in favor of a single house of legislation. But a dispute arose. The small states wanted equal representation with the large states and the large states thought the representation should be in proportion to population. By deciding to have two houses a compromise was effected. To satisfy the small states, there were to be two senators from each state regardless of population. To please the large states, the members of the house of representatives were to be chosen according to population. It is doubtless better to have two houses because one acts as a check upon the other and thus hasty and unwise legislation may sometimes be forestalled. 12 Civile G0V^RNM]^N1^. Section II. Clause 1. The House of Representatives shall be composed of members chosen every second year by the people of the several States, and the electors in each State shall have the qualifications requisite for electors of the most numerous branch of the State Legislature. Each member now represents 194,182 people. The ratio changes after each U. S. census. There are now 386 members. The two years during which a set of represen- tatives serves is called a Congress, and each Congress is numbered. The 58th Congress begins March 4th, 1903, and ends March 4th, 1905. By the term electors in this clause is meant voters, and those who are quahfied to vote for representatives to the state legislature are entitled to vote for members of congress. % Clause 2. No person shall be a representative who shall not have attained to the age of twenty -five years, and been seven years a citizen of the United States, and who shall not, when elected, be an inhabitant of that State in which he shall be chosen. These qualifications relate to age, citizenship and res- idence. The second quahfication would not affect a person born in this country. He is a citizen from birth. But a foreigner would have to reside here five years before he could become a citizen, then seven years after that before he would be quahfied to act as representative. It is rational that a representative should be an inhabitant of the state which he represents and by custom he must be a resident of the congressional district which he represents. Clause 3. Representatives and direct taxes shall be ap- portioned among the several States which may be included within this Union, according to their respective numbers, which shall be determined by adding to the whole number of free persons, including those bound to service for a term of years, and excluding Indians not taxed, three fifths of all 13 civil, GOV:[^RNMENl^. other persons. TJie actual enumeration shall t>e made within three years, after the first meeting of the Congress of the United States, and within every subsequent term of ten years, in such manner as they shall by law direct. The number of representatives shall not exceed one for every thirty thousand, but each State shall have at least one representative; and until such enumeration shall be made, the State of New Hampshire shall be entitled to choose three; Massachusetts, eight; Rhode Island and Providence Plantations, one; Connecticut, five; New York, six; New Jersey, four; Pennsylvania, eight; Dela- ware, one; Maryland, six; Virginia, ten; North Carolina, five; South Carolina, five; and Georgia, three. The United States has very seldom leAded direct taxes. The taxes raised for national purposes, e. g. internal revenue, include the tax on the manufacture of intox- icating liquor and tobacco products, and the customs or tariff duties, which are taxes on certain articles im- ported. These are called indirect taxes because the final payment of the tax falls upon the consumer. A sort of direct tax is sometimes levied to meet some emergency as in the case of war with Spain when stamps had to »be bought of the government and placed on certain papers and documents. The census is taken every ten years. The next one will be in 1910. This census is used as a basis in determining the number of representatives from each state except the Indians who are wards of the gov- ernment and are not taxed would not be included. The clause, "three fifths of all other persons," does not apply now, as it referred to the slaves. It was inserted as a compromise between the northern states, which believed that no slaves should be represented, and the southern states, which beheved that all should be represented, since women and children were counted though not permitted to vote. In order to determine the number of representa- tives to which any state is entitled, divide the number 14 civiiy gov:e^rnmbnt. representing the population of that state by 194,182 the present ratio. Each state is divided into as many con- gressional districts as it is entitled to representatives in congress excepting where some are elected at large from the whole state. The boundary hues of the district are changed, where necessary, after each census, so that each district may contain approximately the ratio of represen- tation. Clause 4. When vacancies happen in the representation from any State, the executive authority thereof shall issue writs of election to fill such vacancies. If a representative dies, or, for any other reason va- cates his oflSice, the governor, or acting governor, of his state makes public announcement that on a certaiix date a special election will be held in the district affected, to fill such vacancy. The person elected serves the remainder of the term. Clause 5. The House of Representatives shall choose their Speaker and other officers; and shall have the sole power of impeachment. The Speaker is the presiding officer of the house. Most of the work of the house is done by standing com- mittees. When a bill is presented, it is referred to the ap- propriate committee and what that committee recom- mends in regard to the bill is very hkely to fix its destiny. As the speaker appoints these committees he has great power in influencing legislation; for he may know, in ad- vance, the opinions of members on proposed measures. When a U. S. official has abused the power of his office in a criminal way, formal accusation may be made by the House of Representatives and this is impeachment. A committee from the House acts as prosecutor before the Senate which sits as jury and decides the punishment, if any. 15 CIVIIV GOVBRNM^NT. Section III. Clause 1, The Senate of the United States shall be composed of two senators from each State, chosen by the Legislature thereof , for six years; and each senator shall have one vote. Since fche senators from any state represent the whole state, it was thought that the most dignified body of the state, the legislature, should choose them. It was thought, also, that being elected in a different way from the rep- resentatives, the two houses would differ in character and would be likely to examine measures from different points of view. Many people now favor the plan of electing senators by popular vote. It is claimed by these that there is much bribery resorted to, under the present sys- tem, and that, frequently, men are elected to the state legislature, not because of special fitness, but because, in the party caucuses they pledged themselves to support certain candidates for the United States Senate. The Senate is sometimes called the "permanent house" because only one third of the members go out of office at one time. Senators are chosen in one-third of the states at a time, and hence every two years, but each senator serves for six years. As there are now forty-five states, there are ninety senators. Clause 2. Immediately after they shall be assembled in consequence of the first election, they shall be divided as equally as may be into three classes. The seats of the sena- tors of the first class shall be vacated at the expiration of the second year; of the second class, at the expiration of the fourth year; and of the third class, at the expiration of the sixth year, so that one third may be chosen every second year; and if vacancies happen by resignation, or otherwise, during the recess of the Legislature of any State, the executive thereof may make temporary appointments until the next meeting of the Legislature, which shall then fill such vacancies. 16 civiiy gov:e^rnm:^nt. The longer tenure of office and the fact that only one third of the members can be "new," make the Senate a more experienced body than the House of Representatives. Clause 3. No person shall be a senator who shall not have attained to the age of thirty years, and been nine years a citizen of the United States, and who shall not, when elected j be an inhabitant of that State for which he shall be chosen. Dignity is added to the Senate by this greater age qualification and this greater required period of citizen- ship. In a measure it is analagous to the House of Lords in England. Clause 4. The Vice-President of the United States shall be president of the Senate, but shall have no vote unless they be equally divided. This is the principal duty of the vice-presid^t, and, even here, there is always ready a president protempore to act in the absence of the vice-president. In case of the death of the vice-president his duties are not considered onerous enough to require a successor, and so his office re- mains vacant till the close of the presidential term, the president protempore acting continuously as presiding officer of the Senate. 17 civil, GOV^RNMilSNT. OUTLINE QUIZZES. (SECOND PAPER.) 1. How does a child's life in the home affect his life as a citizen? 2. How is the school related to citizenship? 3. What are the duties of school directors? 4. Name the officers of the civil township. 5. How does the town government aifect the County Board? 6. Why does representative government fail when appHed to larger cities? 7. Name the executive officers of the state? 8. What are the chief duties of the governor? 9. What are the objects of government according to the Preamble? 10. What are the divisions of Congress? 11. How are Representatives chosen? For how long? 12. How are they apportioned? 18 m DIDACTICS. (SECOND PAPER.) HISTORY OF EDUCATION (Continued.) EDUCATION FROM THE BIRTH OF CHRIST TO THE REFORMATION. For many reasons Christ's teaching did not bear im- mediate fruit in the educational field. It was first neces- sary to convert and elevate pagan nations. In doing this the early Christians had to endure untold hardships and were relentlessly persecuted. They, therefore, came to look upon all pagan institutions as bad and were not dis- posed to give their spirit to the then existing scnools and gradually leaven them with the idea of individual worth. On the contrary, they established schools known to us as **cateclietical schools" whose chief function was to prepare men and women for Christian baptism. - As was to be expected these schools made the Bible the basis of instruction. The Ten Commandineiits and the his- tory of the prophets and patriarchs were industriously drilled into people of all ages. Of these schools the most celebrated was at Alexandria, where the doctrines of Christianity came into close contact with heathen culture and where educated men sought instruction and Christian baptism. Hence it came to pass that learned teachers were selected and this school became the forerunner of Christian Scientific Theology. ASCETICISM. From now on through the Middle Ages Christian ed- ucation took an ascetic turn, men looked down on the things of this world and even despised them in order to make sure of the future world It was believed that the body DIDACTICS- was the seat of sin and hence various forms of physical torture and self-denial were imposed upon it. By this me^ns the forces of the body were supposed to be weak- ened and the soul strengthened. There were two classes of these ascetics, the hermits who withdrew from society and practiced their abnegation in solitude and monks who lived together in monasteries, taking vows of strictest self-denial. Ascetecism reached its climax early in the fifth century, and the influence it exerted on education, science, history and art was far-reaching. The priesthood was elevated to a position of too much importance and rehgion and its doctrines became the absorbing subjects of human thought and activity. Science sank into theology, history consisted of legends of saints, while education was given a theological turn which lasted for centuries. Indeed, "this ascetic spirit may be regarded as the controlling principle in Christian education prior to the Reformation." MONASnO SCHOOLS. Under the influence of this ascetic monasteries in- creased rapidly and by the end of the sixth century they could be found in all the countries that had once composed the great Roman Empire. As long as the monks Hved in purity these monasteries were a blessing to the world, for they became at once asylums for the oppressed and down- trodden, stations for the conversion of heathen to Chris- tianity, repositories for learning, science and art. The world Is indebted to them for the preservation and transmission to later ages of much of the learning and culture of antiquity. As the heathen schools disappeared the church began to regard education as one of its exclusive functions. DIDACTICS. The course of instruction in these monastic schools embraced the seven liberal arts divided into two classes, the triviiim which included Latin, Logic and Rhetoric, and the quadrivium, which included Arithmetic, Geometry, Astronomy and Music. To complete these courses required seven years. Latin, the language of the church, was made the basis of instruction, and everywhere the mother-tongue was neglected. The studies taught were selected because of a real or imaginary connection with the church. For instance Geometry was considered important because in the construction of Noah's Ark all kinds of circles were used. Besides these monastic schools there were tv^ other classes of schools which owed their origin to the church, the Cathedral and the Parochial Schools. The Ca- thedral schools resembled the monastic schools in the course of instruction and were designed chiefly for the preparation of candidates for the priesthood. The Parochial schools were conducted in each parish under the supervision of a priest and were designed for the instruction of children in the doctrines of the church and for preparation for church membership. They did not differ greatly from the modern Parochial school except that but Uttle stress was put on Reading and Writing. - During the time of Charlemagne the educational fa- cihties of these schools were greatly increased. Charle- magne went so far as to plan a system of popular schools. He opposed the immorahty and worldliness which had ta- ken hold of the monks and priests, and urged them to im- prove the already existing schools. He required the priests to teach, in addition to rehgion, reading, arithmetic and singing. ■K-M DIDACTICS. SECULAR AND KNIGHTLY EDUCATION. In the latter half of the middle ages, secular education came into prominence as a reaction against the one-sided reUgious character of the ecclesiastical schools. This education assumed two directions: the one was the off- spring of chivarly and has been called knightly educa- tion; the other had its origin in the business necessities of the cities and has been called burgher or town education. In the citizen schools reading, writing and arithmetic were the chief studies, as they were held most practical. The teachers of these schools received small pay and led a sort of wandering life, going from place to place in search of work. To become a knight a boy at the age of seven became the attendant of some knight, from whom he learned music, chess and knightly manners. At about fourteen years of age he became a squire. From now on his train- ing assumed a more physical and niihtary nature and con- tinued until he reached the age of twenty -one or two, when with great pomp and ceremony he was elevated to knighthood. Among other things it was his duty as a knight to honor and protect womanhood. Among the knightly class female education received much attention, but with other classes it was neglected. Near the close of the Middle Ages a scientific spirit took hold of the people. The awakening of this spirit was due primarily to two causes: the first was the increase of hu- man learning due to the crusades and the elevation of the non-priest class; the second was the influence of the Arabian Schools. Mohammedanism was carried by force over large parts of Asia, Africa and Europe. Empires were established in which learning played no mean role. The writings of the Greeks were translated into the Arabic DIDACTICS. language, and schools were established in all the principal cities. In these schools grammar, mathematics, astron- omy, philosophy, chemistry and medicine were studied with success. The science of chemistry was originated by the Arabians, and for a time they were the intellectual leaders of Europe. Christian youths attended their schools and carried from them to their homes the Arabian science and thereby stimulated intellectual activity in the Chris- tian nations. The most important result of this newly awakened spirit was the founding of the Universities. These arose independently of state and church. At first they consisted of free associations of learned men and ambitioi^p youths who were drawn and held together by a common interest in science. The first Universities were those of Bologna, Salerno and Paris. These were founded in the twelfth century. The moral tone of the Universities was very low. Fights and immoral practices were common. Not- withstanding this fact the influence of the Universities soon began to be felt, and emperors were moved to afford them protection and assistance. BE VIEW OF PERIOD. During the Dark Ages the development of education was slight, and as we read the history of this period we are more impressed in educational matters with what not to do than with what to do. But as during winter the earth rests in order the better to bring forth her harvests in the summer, so in these dark days preparation was being made for the great intellectual and spiritual harvest, the fruits of which we still enjoy. EDUCATION FROM THE REFORMATION TO THE PRESENT TIME. The Reformation in the sixteenth century was one of the greatest, if not the greatest event in modem history. 5 DIDACTICS. Its influence on education and the development of hu- manity is surpassed only by the advent of Christ. It came as the dawn to a long dark night, and marks the beginning of a new era of progress. However, it cannot be looked upon as an isolated fact, for there were many concurring circumstances which prepared the way for it and gave it power in the world. Important among these was the re- vival of learning. THE REVrVAL OP CLASSICAL LEARNING. The Revival of Learning had its origin in Italy in the work as well as the zeal of the three great Italian writers of the fourteenth century— Dante, Boccaccio and Petrarch. These men had made a profound study of the ancient classics and used their influence to spread it. A little later Chrysoloras, a Greek, was appointed a teacher in Florence and there began the spread of the intellectual treasures of his country. A half century later (1453) when Constantinople fell, the educational treasures and the culture of Greece and Rome, as well as those of the East, were thrown open and they spread over all Europe, exerting an influence on education which can be traced down to and observed in the schools of today. Greek scholars and teachers had to leave Constantinople and they became at once the instructors of Europe and the emancipators of the human mind. At this time, as noted above, the monks were the teachers and the monasteries the repositories of learning. But the monks had degen- erated, had become lazy and sensuous, and hence were no longer fit to be called leaders. Nevertheless they opposed the New Learning with renewed vigor, for they saw in it a lessening of their power and influence. Among the leaders of this New Learning Agricola, ReucMin and Eras- mus are worthy of special consideration. DIDACTICS. AGRICOLA. Agricola was born in 1443, in Germany. He studied under the great thinkers of his time and became one of the profoundest and most eloquent scholars of this period. It was he who recognized the incorrect use of the Latin lan- guage in his native country, and he did more than any one else to correct this and to introduce the learning of Italy into Germany. Like others of his time, he believed that the Latin language was the permanent vehicle of thought. At the same time he thought much of his mother -tongue. He looked upon the school not as a place of play or leisure, but as a place full of cares— a place for work. He thought that a teacher should be a person who could teach, speak and act at the same time, and that such a teaqj^er should be sought after dihgently and paid the highest possible salary. REUCHLIN. Reuchlin was also born in Germany a Kttle later than Agricola, 1455 being the exact date. He may be styled the pioneer in the study of the Hebrew language. He was led to take up this study because of the great hght it would throw upon religion. He believed that every minister should be able to read the Bible in Hebrew. His work was more in the interest of religion than education, but the fact that he sought and fought for truth, places him in the category of teachers. ERASMUS. This polished scholar was born at Rotterdam, Holland, in 1467, and was one of the "acutest" scholars of his times. In several ways Erasmus was helpful to the Reformation. In the first place he beheved in tolerance and preached it in advance of his times and he opposed the speculative theology with which the founders of the church had made DIDACTICS. so much ado. In the second place he translated the New Testament into Greek. This work was not only scholarly, but it was undertaken in the interest of a more genuine and sincere Christianity, and it proved to be his greatest contribution to the Reformation. Erasmus was no great reformer, for while he saw the truth in rehgion and did much for its purification, he was not a man of sufficient courage to sacrifice himself for the truth. In educational matters he advocated the study of history, geography, biology, and agriculture, and he would not have his teach- ers make a display of their knowledge. LUTHER. The man that stood out alone in the Reformation, that towered above all others, was Martin Luther. Whether we consider the Reformation in its relation to the church or to education, Luther becomes at once the great- est Reformer. He was of humble parents, born at Eisleben, Germany, November 10, 1483. As a boy he was cruelly disciplined, both at home and at school. At eighteen he entered the University of Erfurt and in three years re- ceived the degree of Master of Arts. Later he entered the Augustinian Convent at Erfurt where he spent three years in "profound" study, and in 1508 received the ap- pointment to a chair in the University of Wittenberg. Soon after this he began to preach, not from the surface, but from the depths of his soul, and his hearers were greatly moved He went to Rome, where he observed the profligacy of the papal court. Following his return to Wittenberg came the sale of indulgences by Tetzel, which aroused Luther's indignation and caused him to write the now famous ninety-five theses in which he maintained that God alone can forgive sins. These he nailed to the church door October 31, 1517, and then and there was born 8 DIDACTICS. the Reformation. This brought him into open rupture with the church, and in 1521 he was ordered to appear be- fore the Imperial Diet to answer for his doctrines. It was at this meeting, when he stood face to face with the au- thority of the Pope, the church and the decrees of the councils, that Luther, in reply to the demand of the Pope that he recant, said, "Unless I am proved to be in error by testimony from the Holy Writ, or by clear and over- powering reasons, I cannot and will not recant because it is neither safe nor advisable to do anything against con- science. Here I stand; I cannot do otherwise. God help me. Amen I" These words mark a turning point in his- tory and the beginning of the era of personal freedom. While Luther did not devote himself directly to the cause of education, yet there is scarcely a phase of the educational field that he left untouched. He looked upon education as not an end in itself, but as a source of wealth and power to the individual and state. He beheved in the maintenance of family disciphne and pubUc safety, and, backed his behef up with strong, common sense argu- ments. The office of teacher was in his mind a very ex- alted one. Luther's efforts in behalf of education bore fruit, for by his appeals all Germany was aroused and in 1525 the Duke of Mansfield commissioned him to estabhsh two schools in his native town, Eisleben— one for primary and the other for secondary education. These schools, both in their course of study and method of instruction, became models, and as a result the forms of church gov- ernment adopted by the various Protestant cities and states contained provisions for the estabhshment and management of schools. In a few years Protestant Ger- many was supphed with schools. While these schools were defective in almost every particular they were better than those that had preceded them. 9 DIDACTICS. CHARACTER OP EDUCATION AFTER THE REFORMATION. It is natural to suppose that, owing to the great re- ligious excitement of the times, education would take on a religious character, and so we find in the schools great prominence given to the catechism and religious psalms. No attention whatever was given to real things; books alone furnished the information. Teachers were poorly paid, and in consequence, the ablest men went into other more lucrative vocations. This condition prevailed every- where in town schools, but in what were called Latin schools we find a somewhat better condition. Here Latin formed the chief object of study, while Theology became secondary, j, These schools followed in the trail of the "new learning" and the best representative of the "new learn- ing" during the latter part of the 16th century was John Sturm, who conducted a gymnasium at Strasburg. His course of study consisted of ten classes, in each of which Latin is the most important study. He, too, forgot life, and tried to reproduce Greece and Rome in Germany, but the German language had come to stay and Sturm's Latin had to give way. His influence, however, spread to Eng- land and America. Enghsh and American Latin schools were modeled after Sturm's. THE JESUITS. The leaders of the Catholic church and of the "old" in religious and educational matters were not content to sit idly by while the reformers were leading people to a dif- ferent belief and to independent thinking. An organization known as the "Jesuits" was formed whose chief mission was to combat the <*Ref ormation." It was composed of the better class of monks and each member made himself a zealous and thorough teacher.** In their course of instruction they placed Latin Grammar, 10 DIDACTICS. Latin Syntax, the humanities and rhetoric. Religious training also found an important place in their course of nstruction. The Jesuits made a strong effort to keep men from going into the Reformed church, but they did more, they put new hfe and zeal into the Catholic church and greatly purified it. Not only in helping the CathoUc church to hold it^ own against its powerful rival, but in going out into new lands and teaching pagan and savage peoples have the Jesuits been benefactors of the world. They were not strong enough, however, to prevent a large part of the Catholics from going with Luther and his ad- herents. In their schools the Jesuits aimed at thorough- ness and in order the better to accomplish this purpose they had few studies and short lessons. Elegdht man.- ners were cultivated in order that they might gain the patronage of the higher classes of society, since they were most desirous of keeping these classes in the church. They beheved that boys should be well disciphned and to this end they resorted to corporeal punishment. This, however, was not administered by a Jesuit but by a special officer outside of the Order called a corrector. In all Catholic countries education gradually passed into the control of this Order. Science, history, independence of mind and originahty were neglected. In brief we may truly characterize the education im- mediately following the Reformation as religious, ab- stract, unreal and impractical. THE REACTION. Gradually, however, the human mind began to free itself from religious and classical authority, progress be- gan to be made in the sciences — Galileo, Newton^ Harvey, Torricelli and others began to make their wonderful dis- coveries. Bacon propounded his inductive method and 11 m BIDACTICS. Shakespeare dealt the death blow to Latin by giving per- manent form to the English in his wonderful plays. Under these influences men began to search for a knowl- edge of things and a number of men sprang up who be- came leaders in this movement, from the dead to the liv- ing, from a knowledge of the symbols of things to a knowledge of things themselves. Among these we may briefly mention "Wolfgang Ratich and John Amos Oomenius. RATICH. This practical teacher was born in 1581 and received a classical training. He had hoped to become a preacher, but owing to an impediment to his speech, he turned his attention to teaching. He strongly advocated the study of the mother-tongue and then the sciences. His method of teaching reading was what we have called alphabetical, and is famihar to all. "Teach only one thing at a time," ''Nothing should be learned by rote," "Often repeat the same thing," "Teach everything by experiment and analy- sis," were maxims of his and gives us a cue to his plan of teaching. He is a reactionist in that he broke away from the study of dead languages and began to give science and mother-tongue a more prominent position. COMENIUS. This noted reformer was born in 1592, in Moravia, and his life, while fruitful of good to his fellewmen, was full of hardships and sorrows. Forced to leave his native land during the thirty years' war, he led a wandering life. He wrote many works, of which the most famous are Didac- tical Magna, in which he attempts to show how to teach all things to all men. It is a profound study of education and in it he sets forth the principles of teaching which have since changed our methods of instruction. His next 12 DIDACTICS- work is the "Gate of Tongues Unlocked," in which he ex- pounds his methods of teaching language. He believes that the understanding and the tongue should ad- vance in parallel lines. The success of this book was very marked. Later in life he wrote the "World Illus- trated," his most famous book. Of his many principles we quote the following: "Ed- ucation is a development of the whole man," "Educational methods should follow the order of nature," "If the super- structure is not to totter, the foundation must be laid well," "In the sciences, the student should have the object studied before him," "Languages are to be learned by practice rather than by rule," "Nothing should be taught that is not of soHd utility," "Let no task be assigilbd un- til the method of doing it has been explained," "The con- crete should precede the abstract; the simple, the History," and whose "Treatise on Studies" is of particular interest to teachers. EDUCATION IN THE EIGHTEENTH CENTURY. At the beginning of the eighteenth century we find a movement to divorce education from rehgion. This ap- peared in two otherwise distinct schools, the one studying nature, the other words. In 1712 there was born at Geneva a man, Jean Jacques Rosseau, who exerted as much influence on education as any man of his century. Rosseau was not a practical teacher. He did not carry any of his theories into execu- tion, but in his book, "Emile," he exerted a wonderful in- fluence. Although this book was in direct contradiction to the usages of the times in which it was written, many of the things he advanced have come to be recognized as fun- damental truths. Rosseau advocated the study of nature and looked upon education as an unbroken chain from the 13 DIDACTICS. cradle to maturity. It will be noted that these principles are identical with those set forth by Comenius and men- tioned already in this article, but it was mainly through Rosseau's eloquent expressions of them that they came to be so important. His "Emile," should be read by every teacher. The theory of following nature, advocated by Rosseau, was in a measure carried out a little later by a body of educational men who are styled pliilaiithro- pinists. Of these the most noted was Basedow, who was born in 1723, at Hamburg. Against this realistic tendency and also against the idea that the ancient languages should be studied only for the sake of theology, came a reaction in the form of a second humanistic movement which brought into promience the study of the classical languages for the sake of culture. The men who favor the retention of Latin and Greek in the first breath of the child; hence it is important to begin to assist nature at a very early age. Out of this idea came the Kindergarten. NORMAL SCHOOLS. We cannot close this review of the history of educa- tion without at least mentioning this culminating move- ment. About the middle of the last century men began to feel that those who are to guide and direct the education of the children should have some special training. This idea grew until a Normal school was opened in Massachusetts and a little later one was opened in New York, and today we find from one to seven in every state in the Union. Most of these are supported by the State. The names of Horace Mann and David Page are inseparably linked with the starting of these schools in America. 14 DIDACTICS. CONCLUSION. In writing this review of education it has been neces- sary to condense and to leave out things which would have found a place in a larger work. However, all the impor- tant movements have been taken up and the essentials of each briefly stated, so that the student wiU have at his command the central facts in the history of education. 15 DIDACTICS. OUTLINT] QUIZZES. (SECOND PAPER.) 1. Why could not Christ's teachings have an imme- diate effect on education ? 2. Describe the catechetical schools. 3. What was Asceticism? When did it reach its climax ? 4. What were the Monastic schools ? For what are we indebted to them ? 5. Distinguish between Cathedral and Parochial schools. 6. Who was Charlemagne? His attitude toward education ? 7. What was the chief good in Knightly Education ? 8. What spirit took hold of the people near the close of the middle ages ? Describe it. 9. What things brought this spirit about ? 10. What was the most important result of this new awakening ? 11. What were the universities ? 12. What was the Reformation ? When was it? 13. What things lead to the Revival of Learning ? 14. Name some men who had much to do with bring- ing about this new learning. 15. How far-reaching was this revival of the study of the ancient classics ? 16. Who was Martin Luther ? Give a brief outline of his Mf e and work. 17. What was the character of the education just after the Reformation ? 18. What was the Order of Jesuits ? What was their purpose and how did they succeed ? 19. What were some of the things that brought about a reaction in educational affairs ? 20. Describe briefly the education of the Eighteenth Century and the rise of Normal Schools. 16 ALGEBRA. (SECOND PAPER.) DIVISION. The meaning of the terms used is the same as in arith- metic — Whence no definition is given. The Rule for Signs given in multiplication applies also in division; unlike signs in divisor and dividend produce minus (— ), and like signs, plus (+) in the quotient. CASE 1. To divide by a monomial. Rule:— Divide the coefficient of each term in tiie dividend by the coefficient of the divisor, and to the re- sult annex the quotient of the literal parts. (Watch the signs.) ^^ Principles: 1. The dividend is equal to the product of the divisor and quotient. 2. If a factor of a quantity is cancelled it is the same as dividing the quantity by that factor. EXERCISEa. 1. Divide mny hj m Operation: rtiymny Ans. ny Explanation: The divisor m is a factor of the divi- dend; hence if we cancel this factor, the other factor ny, is the quotient. 2. Find the quotient of ^bc divided by 6b. Operation: 65)206c ic Explanation: Dividing the coefficient 20 of the divi- dend by that of the divisor 5, and cancelling the common factor 6, we have 20bc -h 65 = 4c, the quotient. AlyGBBRA. ^ In like manner divide the following: 3. 5x)5xyz 4. 4x )Sabxy 5. 8xy )56xy yz 2dby 7 6. 7b)216cd 7. 3a5c )27abcd 8. 7myi)2 1amn 3cd 9. 22a;2/)132mnx^ Prove your work by multiplying the quotient by the divisor. (Watch the signs.) SIGNS OF THE QUOTIENT. If the divisor and dividend have like signs, the sign of the quotient will be +; if their signs are uulike, the sign of the quotient will be — . ' EXPLANATION. -f m X +'^ = +WM^; therefore -\-mn -r- -\-n = +m ~m X +^-' = —mn; therefore — mn -^ -\-n = — m 4-m X — '^ = — '^^Z therefore — mn -. n = -f-m — m X — '"' = +^^; therefore -\-mn -. n = — m EXERCISES. Divide the following: 1. —IQabc by — 2ac Ans. 86 2. Ibaby by — Sy Ans. —5ah 3. 26mnby— 5m Ans. — Sn 4. — 28xyzhy —7xy Ans. 42? 5. S5mny by 5my Ans. 7n 6. 25a6c by — 5d Ans. —5abc d 7. 48x2/ by — 6z 8. 65a?>cde by 13ae 9. — 80a5mn by — Sbn 10. —56x2/2; by — 7mx To divide when divisor and dividend have different powers of the same letter, subtract the index (exponent) of the divisor from that of the dividend. AI,G]^BRA. Example: To divide a^ by a^; a^ = aaaaa, and a'^=^aa. Rejecting the factors aa from the dividened, the result aaa, or a^ is the quotient. Subtracting 2, the index of the divi- sor, from 5, the index of the dividend, leaves 3, the index of the quotient; i. e., a^ -^ -a2 = = a^'-s^a^ EXERCISES. Divide the following: 1. d^ by d3 Ans. d^ 2. m^ by m^ Ans. m^ 3. a;9 by x^ Ans. x^ 4. a^x* by ax'^ 5. ab^hyab^ 6. a%2/° by axy^ 7. x^y^z^ by x^y^z^ 8. a'^fescs by a%c2 9. m^n^x^ by mnx CASE 2.— TO DIVIDE A POLYNOMIAL BY A MONOMIAL^ Rule: Divide each term of the dividend by the di- visor, connecting the results by their proper signs. Example: Divide mn-f-^a; — my -\-mz by ni Solution: m)7nn-\-7nx—my-\-'mz Ans. n-{-x—y-{-z Divide the following: 1. 8x4+12x8+16x2+20x by 4a;. Ans. 2x3-f 3xH4a;+6. 2. 9a3— 6a2— 3a by 3a. Ans. Sa^— 2a— 1. 3. 16a*x^—Ua^x^-{-12a^x^ by 2a2x2. Ans. 8a2— 7ax+6x2. 4. 75m6— 60m4— 45m3+30jn2 by 15m2. Ans. 5m'^— 47?i2— 8m+2. 5. 62aca;2 — 58a2c2x— 34a3c5a;2+74a3c3x3 by 2acx. Ans. Six— 29ac— 17a2c*x+37a2c2x2. 6. — 72 62/ 3— 40?/3— 58a2/3 by 8?/3. Ans. —96— 5 -7a. 7. 14x32/2—58x2^3^119x22/2 by 7x^y^. Ans. 2x—8y-{-17. 8. 65(x— 2/)+39(m-f-n) -52(x-fz) by 13. Ana. 5[x—y) +S(m-\-n) — 4(x+z) . 9.. ^ a2x2(c — d) — ax2(c — d)+a2x(c — d) by ax, 10. ' a" — a'«4a2 by a2. Ans. a«-2_a'« ~^-\-l. 11. a252— a?>2 -a25 f ab by ab. 12. a;»+2— »»+3-{-x» +4 by x« . Aas. x^—a^+x*. 13. a»—a»f-\-a^hya^. Ans. a»-*-a»»-2-fl. 14. a(a; — y)-\-h{x—y)-^c(x—y') by (a; — ^). Ans. a+6-f c. 15. 77(a;+2/)+66(x+2^)-55(«+2/) by llQx+y). Ans. 7+6—6=8. It sometimes happens that the exponents in the di- Tisop are numerically larger than those in the dividend. In such cases the exponents of the quotient will have negative signs. Example: 2^a^h^-^^a^=6a-^b-^. If the exponents in either term are literal, the dif- ference wiU be indicated by the minus placed between the exponents of the dividend and divisor, that of the dividend being always placed J&rst, thus: 12x^6afi=^2x*-^==2x-^] 15a««H-5a« =3a'«-» EXERCISES. 1. Divide —256a*b^c^d^ by IGa^bcK Ans. —16ah^cd\ 2. Divide Gidb^d^ by 16a« b^ c« . Ans. 4a^-«63-«c2-«, As is the case in arithmetic, any algebraic quantity may be divided by a similar larger one by writing the^ terms in form of a fraction, which may be susceptible of reduction. The value of the fraction will be the value of the quotient. 2 1. Divide 6a by Sabc. Ans. rr- 2. Divide 6x^y^ by 2ix*yK Ans. ^^ 6 3. 72a3c262 by 12a^c^b^d. Ans. ^^25^ Prom the processes of division we obtain this principle —the Reciprocal of any quantity is equal to 1 divided by that quantity expressed in a fractional form; thus ^ is the reciprocal of 4 ; —2 is the reciprocal of o^. Hence in trans- AlyGBBRA. forming fractions any term may be changed from tlie numerator to the denominator— or vice versa— by . , 2a263 simply changing the sign of its exponent, thus — g— 263 may be changed into g— 3- This is sometimes a convenient mode of adding or subtracting fractions. It may be ex- a2 1 a2 1 plained thus: "^="^'~^4 =a^—^=a—^; hence —y =a— 2. Another principle obtained from division is that any quantity whose exponent is zero is equal to 1 and may be used or omitted from, operations as convenience demands — 4a35 H- 2a3= 2a3-3b = 2a^b = 26. For young pupils this is illustrated thus: ^ a^ -i- a^ = a^ a^ -i- a^ = a^ a^ -^ a^ = a° and a' -J- a^ = 1, hence a" = 1. CASE 3.— DIVISION OF POLYNOMIALS BY POLYNOMIALS. Rule: Place the di^dsor at the right of the dividend arranging both with reference to the highest power of the same letter. [Use this division character ( \ ') as a separatrix]. Divide the first term of the dividend by the first term of the divisor for the first term of the quotient which is to be placed under the divisor for convenience in proving. Multiply the divisor by the term of the quo- tient last obtained, subtract the product from the dividend and proceed with the remainder as a new dividend — as in arithmetic. If there is a remainder after all the terms of the dividend have been brought down, place it over the divisor and annex- it to the quotient. Verification: Multiply the divisor and quotient; the the product must equal the dividend. *^,5J ^5J ai,g:^bra. EXAMPLES. 1. Divide 10a*— ^Sa% -\-51a^b^+4:ab^—15h* by - 5a2+4a5 +352. Model operation: DIVIDEND. DIVISOR. 10a* — 48a3b +51a^h'^-{-'iab^—15b* |— 5a2+4ab+3b2 10a* — 8a^b-6a%^ —2a^-\-8ab-5h^ — 40a354-57a252+4ab3 quotient. —4:0a^b+d2a%^-\-24:ab^ ' 25a262_20a53— 155* 250252— 20ab3—15b4 2. Divide a^—3a^y-\- Say^ -y^ by ay. Ans. a^ - 2ay-\-yK 3. Divide 24a25— 12a352c— 6a5 by — 6a5. Ans. — ia +2a25c+l. 4. Dividea^— 5a4x+10aSx2— 10a2x3-t-5aa;*-a^ by a2— 2ax -\-x". Ans. a3— 3a2x+3aaj2— ics. 5. Divide x*—y* by a;— 2/. Ans. a^+xy^+x^y+y^ 6. Divide x*+x22/24-2/* by x^—xy-^y^. 7. Divide 0^—54 by a^ f a254-a52-t-53. Ans. a—b. 8. Divide 6x6 _ dx^y^—GxY+^^V^ +• 15x«y^—9xY + 152/« +10x22/5 by 3x3+32/2+2x22/2. 9. Divide x^+S2y5 by x-\-2y. 10. Divide l+2a by 1— a— a2. FOKMULAB. Formulae are brief algebraic expressions of general principles. We give those deduced from operations in multiplication and division. The use of formulae will be advantageous in saving time and labor by abbreviating operations in factoring, in fractions and in more advanced applications of algebra. Students should make it a point to know these formulae as thoroughly as they do the al- phabet. Formula 1. The square of the sum of two quantities equals the sum of the squares of the two quantities plus twice the product of the quantities. Ex: (a-{-by=a^-\- 2a6-f 62j (m+n)2=m2-f2m7i+n2. 2. The square of the difference of two quantities equals the sum of the squares of the two quantities minus twice the product of the two quantities. Ex : {a~b )^=a^ — 2ab+52; (m—ny=m^~2mn-^nK 3. The product of the sum of two quantities multi- plied by their difference equals the difference of their squares. Ex: (a— 6) (a-\-h)=a^—b^'j (m — w) (m-{-n)= 4. The difference of like even powers of two quan- tities is divisible by the sum and also by the dii^erence of the roots. Ex: {a^—W)-T-(a-^h)=a — 6; {m^—n^)-T-m-{-n= 5. The sum of the cubes of two quantities can be divided by the sum of the roots, and the quotent is the sum of the squares of the quantities minus their pro- duct. Ex. (a3-|-68)H-(a+6)=a2— a54-62. 6. The difference of the cubes of two quantities is divisible by the difference of the roots, and the quotient is the sum of the squares of the quantities plus their pro- duct. Ex: (aS— 3)-5-(a— 6)=a2-f-a5+62. The square of any polynomial equals the square of each term and twice the product of each term by all the terms succeeding it, with proper signs prefixed to each term in the product. EXAMPLES mTOEE THE FORMULAE. 1. Square 2a+3c and 2a— 3c. 2. Square 4x2 -f ^y^ and 4x^—Sy^. 3. Square xf»-\-y» . Ans. x^»i-]-2x"fy» -{-y^" . 4. Multiply 2x-\-3y by 2x—3y. Ans. 4x^—0y^. ai,g:^bra. 5. {x*—y*) (x*-\-y^)=whsit'f Ans. x^—y\ 6. {x»i-\-yn ) (xm — yn ) = ? Ans. x^^n — y'^» • 7. Square (a+&-f-c). Ans. a2+2a&+2ac+b2-f-26c+c>. 8. Square 2x — 3t/4-2c . 9. ( x^ -{.y5)^(x-\-y ) == what? 10. {x» — 2/«)-5-(x+2/). Ans. x»-^ — xf^-^y -^ x»-^^ ~x»*y^, etc. The product of any two binomials may also be given by inspection. Thus, (a;+7) {x+S)=x (a;+3)+7 (ix-{-S')=x^-}-Sx-{-7x+21 =a;2-|-10ic+21. Again, ( x—7) ( x—3 )=x (a;— 3)— 7 ( x—S ) = x^~dx—7x-{- 21=a;2— lto+21. Also,(x+7)(a;— 3)=a; {x—S)-\-7{x—3)=x^—Sx-{-7x—21=x^ 4-4a;— 21. And, (95— 7) {a;+3)=x (a;-|-3)— 7 (x+3)=x2-f3x— 7a;— 21= a;2 — 4a;— 21. It will be noted that there are three terms in each of the above results; that the first term of each of these re- sults is the product of the first terms of multiplier and multiplicand; the last term of the result in each case is the product of the second terms of multipher and multiplicand; and that the middle term of each result has for its co- efficient the algebraic sum of the second terms of the mul- tipHer and multiplicand. Solve by inspection the following, using the method of reasoning as given in the first four: 1. Multiply a;+3 by a;+4. 3+4=7; 3X4=12. Therefore, (x+3) (x+4)=a;2-f-7a;-hl2. 2. Multiply x-\-6 by x— 4. (+6)+(-4)=+2; (+6)X(-4)=-24. Therefore, (x+6) (x— 4)=x2 4-2x— 24. 8 ai;g:ebra. 3. Multiply x+4b by cc— 35. {+46)+{-35)= +5;(+4b)X(-36)= -125^ Hence, {x+4b) {x—Sb)=x^-^bx~12b^, 4. Multiply a2 -|-3 ( m-^n ) by a' +2( m-fn). 3(m-{-n)+2 (m-fn)=6(m+n); 3( m+n )X2{ m+n )=6(m-}-n)2. Hence, |a'-f3(m-f«)|a2e2+2 (m4-n)=a*+5a'(m4-n) -}-6(m+n)2. Find in like manner the product of the following: 6. (a;+9) (x+S). Ans. a;2+12x+27. 6. {0D—3){x+7). Ans. a;2+4x— 21. 7. (9-fx) (7+x). Ans. 63-f-16a;H-x2. 8. (aj— 7) (a;+10). Ans. a;2-f3x— 70. 9. (X— 10) (x+9). Ans. x2— X— 90. * 10. (x+2a) (x-i-3a). Ans. x2-f-5ax+6a» 11. ( X— 12) (x— 3). Ans. x^— 15x-f 36. 12. (a-\-b) (a+26). Ans. a'+3ab+2b^, 13. (X— 3a) (x4-4a). 14. (x»-f3) (x24-7). 15. (3fi-\-a) (x3— 3a). 16. (a 35){a-66). 17. (x+a) (x+6). 18. (x— a) (X— 6). 19. (a+26) (a— 76). 20. {3x— 22/) (2x—7y). It has been shown that the difference of the squares of two quantities is divisible by the sum of the quantities, and that the quotient is the difference of the quantities. a2— 62 , Thus, — —r- =a— 6. ' a+6 Also, the difference of the squares of two quantities is divisble be the difference of the quantities and the quotient is the sum of the quantities. 9 aI/G:^bra. Q,2 52 Thus, i- =a+5. Write by inspection the quotient of the following: 1. ^!lZI? Ans. a+S. a— 3 2. in^^ Ans. 2— a. 24-a 3. 1?=^ Ans. 4+62 4—62 ^ 4. ^'-^^ Ans.a;+6. ic— 6 5. ^^'-^^' Ans.2a-36. 2a+36 6. Q^^-^^^^ Ans.3a+46. 3a— 46 7 361/^—1622 62/2+42; g a262c2— a;2 a6c+x « 9aw— 1668 3a5— 464 10. ^'^'-^'! Ans. a263+2/B. (^253 — 2/8 11. a^-(m+n)2 ^^^^ ^_^^_^^^ a — (m+7i) 12. ^^+^)'-^' Ans.a+6-c. (a+6)+c We have learned that the sum of the cubes of two quantities is divisible by the sum of the quantities, and that the quotient is the sum of the squares of the quantities minus their product. Also, that if the difference of the cubes of two quan- tities be divided by the difference of the quantities the quotient is the sum of the squares of the quantities in- creased by their product. 10 Write the quotients of the following by inspection: 1. ?L±^ Ans.a^-ab^b\ a-tb 2. ^LH^ Ans. a2H-a&+62. a — b 3. ^—^ Ans. l+a+a2. 1 — a 4. y^^ Ans. 1— w+w*. 1+2/ 6. ?y::^' Ans. 9— 3a5+a2Z>3. 3H-a5 6. ?Z^L±5! Ans. 9a4— 3a25H&*. 7. ^^^^—^ Ans. a25Ha&c+c2. ^ ab—c • g l+27a3 l4-3a 0,356 — YTl^ 9. 10. ab^ — m 64-4- gs 4+a 11. ^!L±?i?_ Ans. a4-7a2f49. 12. 8«'3-729&3 ^^^^ 4a24-18a6+815». 2a— 95. PRINCIPLES. 1. The sum of any two odd powers of the same de- gree is divisible by the sum of the quantities. As, a^-\-b^ is divisible by a-\-b. 2. The difference of two odd powers of the same degree is divisible by the difference of the quantities. As, a^ — b^ is divisible by a—b. 3. The difference of two even powers of the same de- gree is divisible by either the sum or the difference of the quantities. As, a* — b* is divisible by both a — 6 and a+6. 11 1. If we divide m^-\-n^ by m+n tte quotient will be m* — m'w -j-m^n* — mn^-f-n*. 2. Dividing m* — n* by m — n. we have for the quotient 3. Dividing m^ — n* by m-j-n, we have m^— m^w-fmn* — »' for the quotient. 4. Dividing m* — n* by m— w, we have for a quotient Please note that in the above examples the terms of the quotient are all positive when the divisor is the differ- ence of the quantities and alternately positive and nega- tive when the divisor is the isum of the two quantities; also that the exponent of the first letter regularly de- creases by 1 in the quotient while that of the following letter increases by 1. Find by inspection the quotient of the following: jp6 — 2^6 356 yS 2. , Ans. «* — x*y-]-x^^ — x^y^-{-xy* — y^, a«— 1 3. -—1 Ans. a«+a<+a34-a2+a+l. a«— 1 4. -^TiT Ans. a**— a*+a^— a^-fo— 1. a*— 625 5- a— 5 ^^^' aH5a24-25a+125. a«-f32 ®' a-4-2 ^^^' «*— 2cfc^+4a^— 8a-hl6. a«— 32 m«+»i« x''—y^ rr Q ! 11 ^_ '• a— 2 ^' m+n ^^' x—y 12 AXIOMS. An axiom is a self-evident truth. Of tlie fourteen in mathematics the following are the most frequently used: 1. If equals be added to, or subtracted from equals, the sum or difference will be equal. ( Transposition and Elimi- nation of terms in Equations depend upon this Axiom. ) 2. If equals be multiplied or divided by equals, the product, or quotient, wiU be equal. Transformation of fractions and Elimination of Equa- tions are governed by this axiom. FACTORING. Factoring is the process of separating a quantity into its factors, and is the converse of multiphcation. Factor- ing is a sliort mode of performing division in certain classes of quantities by inspection. A Prime Factor is always a prime quantity. A Composite Factor is a composite quantity which is separable into simple prime factors. CASE 1. To factor a monomial. Rule: 1. Resolve the coefficient into its prime fac- tors. 2. Separate the literal quantities into their prime fac- tors by writing each as many times as the exponents indi- cate. Note.— In monomials each letter is a factor. EXAMPLES. Find the prime factors of: 1. 12a^b^c. Ans. 2X2X3aa55&c. 2. 8a252; c^bV; 24a5c3. 3. 35a^bc*d', ISSa^a^t/^ CASE 2. To form the monomial and polynomial factors of a polynomial. 13 Rule: Divide the polynomial by the greatest factor common to all the terms. This divisor and the quotient will be the prime factors sought. EXAMPLES. Factor. 1. x-\-xy-\-xz, Ans. x{l-\-y-\-z). 2. 6a262-l-2a35. Ans. 2a26(35+a). 3. 452c2— 16abc+12a263c. 4. 9dmn—18dm-{-15dn. Ans. 3d( 3mn— 6m+6?i). 5. Ga^b— 9ab2-fl5a2fe2_21abm. Ans. Zab(2a—db-\-5ab — 7m). 7. 15+10a2b+25m— 5d. 8. 27b2x2— 5453x32/+816%22/2. 9. 29aa;2— 58a2x+87a%3. Ans. 2dax{x—2a-\-Sa^x^), Sometimes terms can be so grouped as to show a com- mon binomial or trinomial factor. For example, ax-\:ay-\-bx -^by^iax+ay)-\-ibx-\-by')=a{x f 2/) + 6(a;+2/)=(a+b) (x+y). In the expression a(x-\-y) +b(ix-\-y) above, (x+y ) is seen to be a common factor. Dividing by x-\-y we obtain the other factor, a+5. EXERCISE. In the same way resolve into factors : 1. ay-by-\-az—bz. Ans. {a—b)(y^z), 2. ax— bx— ay -{-by. Ans. (a— 6) {x—y). 3. m^-\-mn—bm — bn. 4. ab— 36c— 2ac+6c2. 5. ab+ac+bd -fed. 6. xy+xz-my—mz. 7. mn-|-2n — 2m — 4. 8. ax-\-bx—ac — be. 9. a^+a—a^b—b. 10. 3ab— 3ac— 2b+2c. Ans. {b—c) (3a— 2). 14 ai5 1 CT'C^ 0) 5 ^ o worn Q< . ^ o CO t^ O o o M Eh i'^ o S <-" CO '^ ^ O 00 ^c« A-^ S ad rt d OQ d - bco o So So l«2 16 ZOOLOGY. OUTL.INE QUIZZES. (THIRD PAPER.) 1. How do the Echinoderms get their name? What groups of animals are included under this head? 2. Describe the general appearance of the starfish. 3. Locate the following organs and give their function : ocellus, madreporite, ambulacra, respiratory caeca. 4. Describe the digestive system of the starfish. 5. What is the water-vascular system of the star- fish; the perivisceral fluid? 6. Describe the nervous system of the starfish. 7. Compare the sea-urchin with the starfish. What is "Aristotle's Lantern?" % 8. How do the Brittle -Stars differ from the ordinary starfish? 9. What is the general form of the sea- cucumber? What characteristic throws them under the Echinoderms? 10. Describe briefly the Sea-Lily. 11. Classify the Echinoderms. 12. Describe the shell of the fresh-water Mussel. 13. How does the Mussel get its food? What organs are used for this purpose? 14. Describe the circulatory system of the Mussel. 15. Locate and give the function of the following organs: foot, siphons, palpi, mantle, adductor muscles, gills, gonad, kidneys. 16. Give the Mfe-history of the Mussel. 17. Name some molluscs closely related to the mussel. How are pearls formed? 18. How do the Gastropods differ from the mussel? What animals belong to this group? 19. What are the characteristics of the Cephalopods? 20. Classify the MoUusca. 17 ■"K.#!'>S ;1 PHYSICS. (THIRD PAPER.) Diffusion of Gases. — Gases mix in all proportions. When two gases are placed in contact they begin to diffuse into each other at once, the rate of diffusion being much more rapid than that of liquids. If an inverted bottle is filled with hydrogen, and after a few minutes a match is applied to it, a violent explosion results. This shows that the air, though much heavier than the hydrogen, has ascended into the bottle and mixed with it. Kinetic Theory of Gases.— A gas consists of free, elastic molecules, which are in constant and rapid laotion* On account of the nature of a gas, its molecules are not under the restraining influence of cohesion; they are con- stantly colhding with one another and with the sides of the vessel in which they are contained. If two gases are placed in a vessel, each gas will diffuse in the same manner, as if the other gas was not present. The molecules of the two gases encounter each other, however, and rebound along new paths. The pressure of a gas against the walls of the vessel in which it is contained is due to the blows struck by the molecules of the gas upon the walls. These blows are so numerous that each square inch of surface receives mil- lions of blows every second, thus maintaining a continuous and constant pressure. Air, being matter, is governed by the laws of motion common to all other forms. The momentum of air, the amount of force which it exerts upon opposing bodies, is found, as in solids, by multiplying weight by velocity. As we cannot estimate the weight, we are confined in esti- mating the momentum of winds, as hurricanes, etc., to the PHYSICS . relative velocities in deciding their effects. It is the mo- mentum of air which is the practical element in the use of windmills, pneumatic unloaders of cars, etc. A body having the same density as air, will remain in any position in the atmosphere in which it may be placed. A body having a greater density than air will sink, while one, the density of which is less than that of the atmos- phere, will rise until it reaches a point at which the density of the one equals that of the other, when the body will be- come stationary. A balloon will illustrate these three prin- ciples. The Thermometer is an instrument used for measur- ing the variation in the temperature of the atmosphere. Its construction is too famiMar to need any detailed descrip- tion. There are two forms of the instrument in use — ^the Fahrenheit, so named from its inventor, and the Centigrade, so called because it is divided into one hundred degrees be- tween the freezing and boihng points of water. In graduating the Fahrenheit thermometer, the bulb is plunged into a mass of melting ice or of freezing water, and allowed to remain for a few moments until the mercury in the tube becomes stationary, when the point at which it stands is marked and numbered 32. It is then held in the steam escaping from boihng water until the mercury ceases to rise. This point is also marked and numbered 212. The space intervening between these two marks, called, respec- tively, the freezing and the boihng points of water, is di- vided into 180 degrees. The Centigrade thermometer, being scientifically more correctly graduated than the Fahrenheit, is chiefly used by scientists; the Fahrenheit for general purposes. It will readily be seen that the zero of the Centigrade corresponds to the 32 degrees of Fahrenheit, and the 100 of Centigrade 2 PHYSICS . to the 212 of Fahrenheit, fchus making the 100 degrees Cen- tigrade mark the same difference of temperature as the 212-32, or 180 F. The zero of Fahrenheit is an arbitrary- point, selected simply on the erroneous theory of its inven- tor, that below this point there could be no heat. Meteorology.— Closely connected with, and depend- ent upon the laws of Pneumatics, is that branch of Physics which treats of atmospheric phenomena, especially of those relating to atmospheric heat and moisture. Atmospheric heat is obtained from the heat of the sun's rays and by that radiated from the surface of the earth. The average temperature of the air during the day is found by recording observations, taken at regiil&,r inter- vals, and dividing their sum by the number of records. The mean annual temperature is found in the same manner. Moisture is absorbed by the air at all temperatures. The capacity for absorbing moisture and retaining it increases with the temperature. When air is saturated with mois- ture, any decrease in the temperature causes an increase in density and produces a discharge of moisture in the form of fog, dew, snow or rain. ( See another paragraph). The quantity of moisture contained in the atmosphere is measured by an instrument called the Hygrometer, (ugros— moist; metron measure). Many organic bodies, as hair, catgut, etc., have such a tendency to absorb mois- ture, that they may be used in the construction of rude hy- grometers. A piece of catgut may be suspended by a light weight from a nail, and its length, when perfectly dry, be marked zero on the wall. Upon being saturated with water, by suspending it in a jar of water placed under it, the length will be diminished, and the point at which the weight then stands may be marked "sat." or saturated. This will be an ef&cient instrument for domestic use. ;-:.fcjf; PHYSICS . Practical use is made of the upward pressure of gases in the construction of gasometers. A gasometer consists essentially of a cylindrical reservoir suspended with its mouth downward and plunged to a great part of its depth in a tank containing water. The gas manufactured in the retorts, after being purified, is conveyed into the reservoir by pipes passing through the water and opening above its surface. The upward pressure of the hberated gas, due to its expansibihty, causes the reservoir to rise to a regulated height. By other pipes, also passing through the water, the stored gas is distributed to the service pipes. The use of the water is to prevent the diffusion of the gas into the external air. The Air Pump. — The air pump is an instrument for removing air from a closed space. It consists essentially of a metal cyhnder, called the barrel, fitted with a piston, at the lower end of which are two small tubes with valves, so arranged that air can enter through one and leave through the other. To remove the air from a given receiver, one of the short tubes is connected with the receiver and the pis- ton drawn up. Air rushes from the receiver into the bar- rel. The piston is now pushed down, the valve of the tube leading to the receiver closes, the valve of the other tube opens and the air contained in the barrel is forced into the atmosphere. At each complete stroke of the piston, air of less and less density is ejected into the atmosphere. It is evident that all of the air contained in the receiver cannot be removed, even supposing no leakage. At each stroke only a part of the air is removed, and the remainder is left in the receiver. Insufficiency of the air, when very rare to open the valves, leakage of the apparatus and other causes prevent the obtaining of a complete vacuum. If the ratio of the volume of the barrel to that of the receiver is known, it PHYSICS . is easy to compute theoretically the degree of exhaustion after any number of strokes have been made. The rate of exhaustion increases in a geometrical ratio. If the capac- ity of the barrel is Vio that of the receiver, after the piston is first raised, ^/lo of the quantity of original air remains, since Vio has been expelled. After the second stroke, ^Vioo of the original quantity remains, etc. This series never terminates. Good pumps will make the exhaustion so com- plete that the air remaining in the receiver will not support a colum of mercury over Yso of an inch. The Condenser is ah instrument used to force air into a vessel. It consists of a cylinder or barrel, with a valve at its base and a piston with a valve opening down^v^ard. The instrument is connected with the vessel in which the air is to be condensed and the piston moved up and down, usually by means of a handle. When the piston is drawn up, its valve opens and air enters the cyUnder. When the piston is pushed down, its valve closes, the pressure of the air causes the valve of the cylinder to open, thus causing the air to enter the vessel. Every downward stroke of the pis- ton thus adds a cyhnder full of air in the vessel. PNEUMATIC -HYDRAULIC MACHINES. Tbe Liift Pump, or Suction Pump, consists of a bar- rel, to the lower end of which is attached a pipe leading to the water. At the top of this pipe and in the piston are valves, both leading upwards. When the piston is raised its valve closes, and a partial vacuum is formed in the cylin- der below. Atmospheric pressure forces water up the suc- tion pipe, driving the air above it through the lower valve. When the piston is pushed downward the valve at the upper end of the suction pipe closes, and the confined air escapes through the valve in the piston. As the piston continues its work the air is gradually removed from the cylinder and S PHYSICS . the suction pipe, the water is forced upward by the press- ure of the atmosphere and hfted to the spout. Theoreti- cally the piston may be thirty-four feet above the level of the water, but, owing to mechanical imperfections, it should not be above twenty- eight feet. The Force Pump.— The operation of this pump is similar to that of the suction pump. The piston has no valve, and the outlet valve is usually placed at the lower end of the cylinder. When the piston is raised water is forced into the cylinder by atmospheric pressure. When the piston is forced downward the valve at the top of the suction pipe closes, and the water is forced into the dis- charge pipe. To secure a continuous stream of water the discharge pipe usually opens into an air chamber. The elas- ticity of the confined and compressed air forces the water from the nozzle of the delivery pipe in a continuous stream. Fire engines and nearly all steam pumps have such attach- ments. The Siphon is a tube with unequal arms used for trans- ferring Uquids from a higher to a lower level. The shorD arm is placed in the liquid and the air is drawn out of the long arm. The flow now begins and continues until the level of the hquid in the vessel has reached the lower end of the short arm. The action of the siphon is due to the inequahty of air pressure at each end of the arms. The downward pressure of the air causes the liquid to ascend to the curve of the siphon, and gravity does the rest. The height of the bend of the siphon above the liquid must not be greater than the height at which the air will support a column of water. HEAT. The temperature of a body depends upon the average kinetic energy of the molecules. Since quality of heat is 6 PHYSICS . the product of the average kinetic energy, multiplied by the number of molecules, we understand that the quantity of heat a body has depends both upon its mass and its tem- perature. A method of comparing temperatures, independent of our sensations, which are obviously unreliable, is found in expansion. By this term is meant the changes which heat causes in the volume of a body. A gas expands very rapidly when subjected to the action of heat; if confined so that it cannot expand, its pressure increases rapidly, i. e., the pressure of a given quantity of gas varies with its temperature. The rate of expansion is practically the same for all gases, and greater than it is for solids or Hquids. Liquids expand less rapidly than gases, and the rate of expansion varies for different hquids. Ice-cold water ex- pands about four per cent when heated to boiling; alcohol expands more than twice as fast as water, and mercury about one-half as fast. Substances that crystalMze when cooling, expand as they approach solidification. Ice is a famihar example of such a substance. Metals expand slowly when heated. The rate varies for different solids. It will be noted that metals expand most rapidly of all sohds. In mechanics, provision must be made for the enormous force with which they expand and contract when heated and cooled. This is noticeable in the laying of the rails of a railroad, in the construction of iron bridges and in placing furnace bars in brickwork. Absolute Zero is the temperature at which the mole- cular motions constituting heat wholly cease. This point has been theoretically placed at 273° below the centigrade zero, as it has been estimated that if air were a perfect gas, and could be cooled down to this point, it would cease to 7 PHYSICS . exert pressure. "_ Temperatures reckoned from this point as the zero point, are called absolute temperature. Abso- lute temperatures are obtained by adding 273 to the read- ings of a centigrade thermometer, or 460 to the readings of a Fahrenheit thermometer. liiquef action. — ^In order to reduce a solid to a liquid form, it is necessary to overcome the force of cohesion. To do this heat is required, and is utihzed, whether the process is effected by fusion or by solution. The heat disappears, i. e., it may be said to be absorbed. When a hquid changes to a solid, the energy employed in opposition to cohesion in maintaining molecular motion is released and appears as heat. The quantity of heat (specific heat) thus released during solidification, is the same as that which disappears during liquefaction. Gases and vapors are hquefied (condensed ) by a with- drawal of heat or by an increase of pressure, or both. The energy employed in maintaining the aeriform condition is released and appears as heat, equivalent in amount to that which disappears during vaporization. Vaporization is the process of converting a substance, especially a liquid, into vapor. This may be done in two ways — by the addition of heat or by a diminution of press- ure, or both. When the action takes place quietly at the surface of a hquid, it is called evaporation. When it takes place, by the rapid formation of bubbles of gas throughout the whole mass of the hquid, it is called ebullition or boil- ing. The rate of evaporation of a hquid (1) depends upon the nature of the hquid; (2) increases with the temperature; (3 ) increases with the extent of free surface ; (4) is increased by continual changes of air in contact with the hquid; (5) is increased by reducing the surface pressure. 8 PHYSICS . X]bullition. — If lieat is applied to a flask containing water, the water steadily rises in temperature. After a short time bubbles rise to the surface and escape. These are bubbles of air held in solution by the water. The water now begins to boil and steam escapes. If the temperature of the water be taken, the thermometer will read 100"^ C or a little more, but it remains constant while the boiling con- tinues; not until aU of the water has boiled away will the mercury rise any higher. Laws of Ebullition.— (1) A liquid boils when the pressure of its vapor becomes greater than pressure on its surface. (2 ) The temperature of the boiUng liquid or the liquefying vapor remains at the boiMng point until the change of condition is completed. (3) An irftrease of pressure raises the boihng point, and vice versa. (4) The boiling point of the same liquid, under the same conditions, is constant. Water may be heated above its true boiling point by confining the steam, and thus increasing the pressure. When the pressure is relieved, however, the superheated vapor expands immediately and temperature is reduced. If the boiling point of a substance is lower than its melting point, it vaporizes directly without previous hquefaction. The change is called sublimation. The pressure at which the melting point and the boiling point of any substance coincide is called the fusing point pressure. Fusion. — Whether a given substance exists in a solid, a liquid or a gaseous state, depends upon its temperature and the pressure it is under. When soUds are exposed to heat they generally liquefy or fuse. The temperature at which a sohd melts is called its fusion point. When ice melts its temperature remains constant until all is Hquefied. Heat imparted to a melting body affects its temperature 9 PHYSICS . very little, if any. Ice and other solids are not converted into liquids immediately when they reach the fusion point, but absorb a quantity of heat before fusion is accomplished. The heat, which disappears in melting, is called the lieat of fusion. Experiments show that ( 1 ) the melting point of differ- ent substances differ, but for the same substance, under constant pressure, the point is always the same. (2) The temperature of a melting solid, or of a sohdifying hquid, remains at the melting point until the change of condition is completed. (3) Pressure influences the melting point according as the sohd expands or contracts on melting. Evaporation. — As stated in a previous paragraph, a comparatively slow vaporization is called evaporation. Experiments have shown that evaporation depends ( 1) On the nature of the liquid. ( 2) It increases with a rise of temperature. (3) It increases with an increase of the free surface of the liquid. (4) It increases as pressure, atmos- pheric or otherwise decreases, being very rapid in a vacuum. (5) It is increased by a continual change of air in contact with the liquid. When a drop of ether or alcohol is placed upon the skin, cold is felt. When a hquid evaporates, heat is absorbed and rendered latent. This heat must come from some place, and when it is not suppHed by a body of high temperature, it is withdrawn from the hquid itself and from the bodies around it. As a result, temperature is lowered and cold is produced. The most intense cold attainable is produced by condensing gases to liquids by means of cold and press- ure, and then allowing the hquid to evaporate suddenly into a space free from air. By the evaporation of liquefied hy- drogen, a temperature of 243° has been obtained. 10 PHYSICS . Distillation. — In this process both vaporization and condensation are illustrated. The liquid or liquid mixture is heated in a retort; the vapor given off is conducted to the condenser, where it is condensed again to the Uquid form by the apphcation of cold. The most common form of the condenser is a spiral tube, called the "worm." The whole apparatus is called a "still." Distillation is employed for two purposes: (1) To remove solid impurities dis- solved in a Hquid. (2 ) To separate two liquids whose boil- ing points differ. Fractional distillation is the process of separating hquids which have different boiUng points. For example, if a mixture of alcohol and water be placed in a retort, and the temperature raised to a point between the boiling points of the two liquids, the vapor whifti leaves the retort is mostly alcohol. By allowing this vapor to pass through a hot receiver, the watery vapor will condense ; the remainder will pass on to the condenser. By repeated distillation the alcohol may be obtained in comparative pur- ity. Calorimetry is the process of measuring the amount of heat that a body absorbs or gives out in passing from one state or condition to another. A calorie is the quantity of heat required to raise the temperature of one gram of water 1° C. The quantity of heat necessary to raise the temper- ature of one gram of water 1° C, is called the specific heat of that substance. With the exception of hydrogen, water has the greatest specific heat of any known substance. Four times as much heat is required to raise the temperature of a given mass of water 1° C as to heat an equal mass of solid earth. Sensible heat is the molecular kinetic energy which affects temperature. Molecular potential energy does not affect temperature, and is known as latent lie at. 11 PHYSICS . There are three processes of transference or diffu- sion of heat— conduction, convection and radiation. When heat flows through an unequally heated body, from places of higher to those of lower temperature, the process is called conduction. Metals are the best conduc- tors. Liquids are generally poor conductors, and gasses are poorer conductors than liquids. Conduction takes place gradually and slowly from particle to particle. When part of a fluid, either liquid or a gas, is heated to a temperature above the surrounding portions, it expands and thus becomes lighter specifically. The cooler and heav- ier portions, of course, take the place of the lighter, and in this way all the fluid becomes heated. This mode is called convection, and the currents estabUshed in this way are convection currents. The Gulf Stream and the trade -winds are examples of convection currents on a grand scale. Ventilation.— The chief means of securing ventilation is through the agency of convection. In order to secure good ventilation of a room, there must be one or more in- lets, by means of which fresh air can enter, and one or more outlets, by means of which foul air can escape. When a room is heated by hot water or steam, heating and ventila- tion may be combined. Steam is conveyed by a pipe to a radiator box just beneath the floor of the room. The air contained in the box becomes heated by contact with and radiation from the coil of pipe contained in the box. The air rises through a passage opening into the room by means of a register. A supply of pure air is maintained by an opening into the box from the outside of the building. By this means the room is furnished with pure warm air. At least one outlet for the impure air must be provided. This is usually accompUshed by means of a ventilator, which opens into a ventilating flue. If there are several outlets, 12 PHYSICS . the wind may make some of them act as inlets, thus caus- ing objectionable down-drafts. In radiation, as a matter of fact, heat is not trans- ferred at all, although the energy transmitted is frequently called radiant heat; it is simply radiant energy. Undula- tory motion is transmitted through a medium called the ether, which is not itself heated thereby; the body which obstructs these ether waves transforms the radiant energy into heat. Laws of Radiation.— By means of experiment, the following laws have been observed: 1. "Radiant heat travels in straight lines with the velocity of hght." « 2. "The intensity of the radiant heat diminishes as the square of the distance from the source increases." 3. "Radiant heat is reflected from a pohshed surface in the same way as light." 4. "The rate of coohng of a body in the air varies as the excess of its temperature above that of the air." 5. "The radiation from a body increases with the tem- perature." 6. "The rate at which a body radiates heat depends on the nature of its surface. It is greater for rough or dark colored surfaces than for smooth or light colored surfaces." Absorption. — When heat falls on a body part of it is reflected, part is absorbed and part is transmitted through the body. The heat which is absorbed, by being trans- formed into sensible heat, raises the temperature of the body. By retaining the form of radiant heat, the heat which is transmitted through the body has no effect on the tem- perature. The nature of the surface of the given body in- fluences its power of absorption greatly. Bodies that are 13 PHYSICS. good radiators are good absorbers and poor reflectors; conversely poor radiators are poor absorbers and good re- flectors. Diathermacy. — A diathermanous body is a body that transmits radiant heat; a body that does not transmit ra- diant heat is called an athermanous body. A remarkable fact about diathermanous bodies is that they will transmit some kinds of heat rays better than others. Glass is a fa- mihar example of this fact. The rays of hght from the sun will enter a room through a glass window and warm the contents of the room, but the heat radiated by any object or objects that may be in the room cannot escape through the window. This is because the wave lengths are changed by reflection from objects within the room. Regelation. — If two pieces of ice are held firmly to- gether under water, they are soon frozen together. This phenomenon is known as regelation. Regelation may be explained by the fact that the melting point of ice is low- ered by pressure. It must, then, necessarily follow, that when the two pieces of ice above mentioned are held firmly together, part of the ice along the pressed surfaces is obliged to melt. In order that ice may melt, heat is necessary. The heat required is not supplied by the ice; consequently it must come from the film of water in contact with the pressed surfaces of the ice. The result is that this thin film of water freezes and the two pieces of ice are held together firmly. THERMO -DYNAMICS. Thermo-dynainics treats of the relation between heat and mechanical work. The conversion of mechanical energy into heat by friction, etc., is a very common phenomenon. The converse change of heat into energy of work is just as famiUar. The steam engine is the most important heat en- 14 PHYSICS . gine, or machine, for transforming heat into work (energy of mass motion) . It will readily be seen that the elastic force of steam is due entirely to heat. The Steam Engine. — The expansive power of steam was known long before any means were devised to use it in machinery. In the open air steam has comparatively httle power, but when confined in a closed vessel its efforts to expand produce enormous pressures. The modern steam engine consists essentially of an arrangement, by which steam from a boiler is conducted so as to enter a cyhnder, first at one end, then at the other; and then, having done its work in driving the piston to and fro, is discharged from each side alternately, either into the air or into a cdfadenser. More heat is carried to the cyhnder of a steam engine than is carried from it. The piston does work at every stroke, and every stroke annihilates heat. The moderm steam en- gine utihzes less than 15 per cent of the energy developed by the combustion of the fuel. When the exhaust steam escapes into the open air, the engine is said to be a "non- condensing engine." When it is led to a chamber and there condensed by a spray of cold water, the engine is said to be a "condensing engine." An instrument, called a steam gauge, is connected with the boiler. It measures the excess of pressure of the steam at any instant above the atmospheric pressure. Stationary engines are often supplied with a governor, which regulates and controls the supply of steam to the steam chest. It consists essentially of a vertical shaft, whicn carries two arms with heavy balls. The shaft is made to rotate by means of proper machinery. Centrifugal force tends to make the balls move away from the shaft, and in so moving they raise, by the means of connecting rods, a lever attached to a valve, which controls the supply of IS PHYSICS . steam. If the motion becomes too rapid, the lever rises and the valve closes. The locomotive is a high pressure, non- condensing engine. The pressure of the steam generated varies from 75 to 175 pounds to the square inch. Instead of being con- densed, the steam is blown in puffs into the air. Metalhc tubes, conveying the hot gases of the furnace, pass through the boiler. In this way, as great an area of the boiler as possible is exposed to the action of heat, and consequently the water is vaporized very rapidly indeed. After having passed through the boiler, these tubes lead into the blast pipe, or the pipe by means of which the exhaust steam es- capes into the chimney. By this means a powerful draught for the fire is created— in fact, the fire burns best when the engine is in rapid motion, a time when great heat is re- quired. It is evident that the source of energy of a steam engine is derived from the heat evolved by the combustion of the coal. The potential energy of the coal of the furnace and the oxygen of the air is converted into visible energy, and mechanical work results. Experiments have shown that the exhaust steam of an engine is much cooler than that which enters the boiler, and that the amount of work done is equal to the heat that has disappeared. The horse power of an engine is obtained by means of the following formula: Horse Power = (Pressure in pounds per square inch on the piston X area of piston in square inches X length of stroke in feet X number of strokes per minute) -4- 33,000. Heat in the Atmosphere.— The temperature of the atmosphere falls as we rise above the earth's surface. The rate of fall varies, but the average fall is about 1° C for each 500 feet of ascent. It must be remembered that the atmos- phere is not heated by the direct rays of the sun, but by heat radiated from the land and water and by convection 16 PHYSICS . currents of warm air rising from the land. As we ascend, the atmosphere rapidly decreases in density, and offers less resistance to the radiation of heat into the space beyond. Near the earth's surface the distribution of heat is very un- equal. The temperature at any place depends on the lati- tude, the season of the year, the position in respect to land and water, the hour of the day, etc. When the tempera- ture of the air is very high, it is capable of holding a great quantity of watery vapor before it becomes saturated. When the air becomes saturated with vapor, the pressure exerted by this vapor is called the maximum pressure of the vapor for that temperature. The temperature at which dew begins to forn is called the dew point. Dew is a deposit of moisture on the ground, or on loose objects lying on the ground. Dew is formed when the ground becomes cool enough at night to chill the air near it, so that some of the vapor it contains is converted into moisture. If the moisture is condensed upon the ground at a temperature below the freezing point, it forms frost. Dew and frost are formed more abundantly on clear and calm nights than on cloudy and windy nights. This may be explained by the fact that, on a bright day all bodies on which the sun shines grow warm, and moisture passes into the air by evaporation. It is evident that by sunset the atmosphere near the earth contains much mois- ture. After sunset the earth, and bodies on the earth, lose heat by radiation, and become much cooler. As a conse- quence, the atmosphere becomes cooled below the dew point, and dew is deposited upon the earth. On a cloudy and windy night, however, the surface of the earth is not much cooled, and, as a consequence, dew is not deposited. Kain and Snow. — Rain, snow, hail and sleet may all be included under the general term rainfall. Rain occurs 17 PHYSICS. when the moisture of the atmosphere is condensed into drops at temperature above the freezing point, or when snow flakes from a high altitude melt before they reach the ground. The cooling necessary to cause rain may be due to the mixing of masses of air of unequal temperature, but in the majority of cases it is due to the ascent and conse- quent expansion of warm, moist air. Snow is formed when the moisture of the air is condensed at a temperature below the freezing point. Sleet is half melted snow. Hail occurs chiefly during the summer months, when the ascending currents of air carry the rain drops so far upward that they are frozen before they fall. Fogs and Clouds.— A greater amount of watery va- por can be contained in warm than in cold air. If the air is not saturated with watery vapor, it may be made so by cooling the air until the vapor present is as much as can be contained at that temperature. Any further cooling will cause the air to become cloudy, and, if continued, will cause rain or snow. A cloud may be said to be nothing more than a mist that forms at a high altitude. A mist wets solid bod- ies; a fog does not. Winds. — The air from the polar regions is much warmer and heavier than that of the torrid zone. It tends to con- tinually creep under it, causing the warmer air to be Ufted up and flow toward the poles. A permanent circulation of the atmosphere is thus established between the warmer and colder regions of the earth. The rotation of the earth, how- ever, prevents the air currents from flowing north and south, but turn them somewhat to the east and west. Again, the unequal distribution of temperature and watery vapor at the earth^s surface causes an inequality of pressure. The equilibrium of the air is destroyed by this inequality of pressure; consequently the air flows from the place of higher to the place of lower pressure until the equilibrium is restored. The wind blows with a force depending upon the difference in pressure between the two places. 18 PHYSICS . OUTLINE QUIZZES. (THIRD PAPER.) 1. What can you say of the diffusion of gases ? 2. What is meant by the Kinetic theory of gases ? 3. How is the momentum of air found? Describe the thermometer. 4. In what respect does the Fahrenheit thermometer differ from the Centigrade thermometer ? 6. Define Meteorology. How is atmospheric heat ob- tained ? 6. Describe the air pump. The Condenser. 7. Name some Pneumatic -Hydraulic machines. 8. Describe the Siphon, Force Pump, Lift Pump. 9. Upon what does the temperature of th^ body de- pend ? Compare the expansion of gases, hquids and metals , 10. What is meant by a&solute zero ? Liquefaction ? 11. Discuss Vaporization. Upon what does vaporiza- tion depend? 12. Give the laws of Ebullition. Define sublimation. Fusing-point pressure. 13. Discuss evaporation. Upon what does evaporation depend ? 14. Describe the process of distillation. For what pur- pose is distillation employed ? 15. What is the difference between sensible and latent heat ? Discuss ventilation. 16. Give laws of radiation. What influences absorp- tion? What is the difference between a diathermanous body and an athermanous body ? 17. What is regelation ? Explain fully. 18. Describe the steam engine. 19. What is the dew point? Why does dew not form on a cloudy night? 20. Discuss Rain. Snow, Clouds, Winds. 19 GENERAL HISTORY. (THIRD PAPER.) "Study opens the treasures of antiquity." ROME. Borne, the mistress of the world, the arbitress of the fate of nations, in the zenith of her glory sending her mandates, enforced by the valor of her veteran legions, over the known world, haughty in her power, but,— strange inconsistency! — tolerant of the religions of her conquered foes, if only they showed no disrespect for the gods of Rome; Rome the nursing mother of the liberal arts, diffus- ing her literature and laws, step by step with the onward march of her armed hosts, such was Rome, the daughter and the conqueror of Greece. The strong elements of the Aryan character which had raised Greece to the high station which she filled among the nations of the East, seem to have grown stronger as they became grafted upon the stock of the Italian races. Our present knowledge of the people who inhabited the Italian peninsula in the earliest times, is confined chiefly to what we may learn from the early Latin historians. Much, of course, is largely fable, as is the case in the legendary history of any race. The Ligurians, and Venetians exerted but slight in- fluence upon the history of Italy. Among the most im- portant tribes were the lapyges, who occupied that portion of Italy which the Romans called Calabria, but which was named by the Greeks Messapia. They are supposed to have been the founders of the Greek colonies in that region, fleeing thither after the destruction of Ilium, and antedating the arrival of the Trojan Aeneas. Their 1 GENERAL HISTORY. language, closely resembling the Greek, is tlie chief evidence upon which this theory is based. The two chief branches of the aboriginal Italians were the Hiatiiis and the Sabellines. The Latins were confined to a small plain of about seven hundred square miles be- tween the Tiberand the Apennines. The Etruscans at first dwelt north of the Po, but migrating to the south they formed a confederacy. They are supposed to have been the descendants of the Turanians. They were a stout and muscular race, of a more sturdy Duild physically than the more graceful Itahans, were very superstitious, ascribing great importance to the arts oV magic, but soon by contact with their more advanced neighbors, became themselves more civilized, advancing rapidly in the mechanical arts, and becoming the best architects in Italy, herein showing the effect of their descent from the civilizing race. The Romans, proper, held to the tradition that the founder of their race was .^Eneas, who had fled from Troy, upon its destruction, and had landed upon the coast of Latium. Virgil makes this tradition the basis of his poem, "The .^neid." Without giving any credence to the fables regarding Romulus and Remus, we can with some historical ac- curacy consider that a settlement made by a band of Ram- nians (Romans), on the hills bordering upon the Tiber, was the foundation of Rome, This settlement, about 753 B. C, was about eighteen miles from the mouth of the river. As is usual in the history of barbarous tribes, it soon became involved in contests with its neighbors which continued until its leadership was acknowledged by them. GENEBAL HISTORY. ROMAN KINGDOM (753 B. C.-509 B. C. ) The government of Rome was, at first, founded upon the theory of equal rights for all. The King, or chief ruler, was chosen for life, by the heads of families, and had the right to select as his counselors, a body of *'patres" (fathers), though in his own election all citizens had a right to vote. In the assemblies of the people, comitla curiata, (town meeting), laws were passed by the people, war or peace declared and other matters affecting the interests of the people, determined. In time the citizens were divided into three classes, the patricians, or nobles, and the plebeians, or common people, in which latter class were enrolled the citizens of the subject states. A ifchird class consisting of debtors to the patricians, and slaves taken as prisoners in war, embraced a large part of the population. The early records of Rome having been destroyed by the Gauls, who burned the city, the history of Rome under the Kings, of whom there are said to have been seven, is entirely traditionary. Romulus was, of course, the first, and was succeeded by Numa Pompilius, who is said to have established the religious institutions of the city, to have reformed the calendar, and to have built the temple of Janus, the doors of which were never closed except in time of peace. Tullus Hostilius, the third King, and Ancus Martins^ the fourth, by whom was founded Ostia, the port of Rome at the mouth of the Tiber, and who also erected the first strong defense of Rome, — the Janiculum, — Tarquinius Prisons, builder of the temple of Jupiter (chief god of Rome), of the great circus (Circus Max- imus), and of the Cloaca Maxima, (great sewer) the most useful work of all,— the remains of which are still of public utility, Servius TuUius, who enclosed the entire city in waUs and Tarquinius Superbus,— the last King, GENERAL HISTORY. comprise the list of those who reigned until 509 B. C. In 509 the monarchy was succeeded by the Roman Republic. EOMAN REPUBLIC. For more than a century and a half from its beginning, the history of the Repubhc is a record of contests between the Patricians and Plebeians, during which contests the classification of rights, duties and powers of each class pro- duced the constitution and code of laws which gave Rome? for many centuries, her pre-eminence among civilized nations. The Kings were succeeded by two Consuls, elected annually. Their duties and authority resembled those of the Kings', and their dignity was enhanced by the office being confined for nearly one hundred and sixty years to the Patricians. Besides their civil powers, they were also legally the generals of the army in war. Junius Brutus and Collatinus, were the first to hold the office of con- suls. It was during this early period of the Repubhc that the legendary accounts of Lars Porsenna, Mucins Scsevola, Horatius, and of the famous battle of Regillus became im- bedded in what may be called semi-historic records. (Read Macaulay's Lays of Ancient Rome.) An pohtical power being left in the hands of the nobles, the plebeians were slowly but surely reduced to a con- dition resembhng the serfdom of mediaeval Europe. This condition and the compulsory performance of mihtary duty, finally drove the plebeians to the desperate alternative of secession from the city. They withdrew in a body to the Sacred Mount, — three or four miles distant, and de- termined to estabhsh a new city. The nobles were thus, in turn, driven to measures which they would otherwise have stubbornly rejected, They canceled their claims against 4 GENERAL HISTORY. their debtors, freed the slaves, and granted the appoint- ment of two magistrates— Tribunes— to be chosen from the ranks of the plebians, who were to have the power of Veto (I forbid), by which they could annul any law passed by the Senate, (Patricians). The seceders now returned to the city. The nobles had been guilty of the unjust and illegal act of seizing the public lands, though the constitution required that these were to be partly divided among the poor. Spurius Cassius, a nobleman of high rank, distinguished for integrity, in order to correct an abuse which he saw was fraught with danger to the Republic, proposed about 486 B. C. the first "Agrarian Law" \^ich pro- vided for an equitable partition of the public lands. The law was enacted, but the power of the patricians made it a dead letter, partly because the Tribunes were not elected by the people at the "Assembly of the Tribes," but at the "Assembly of the Hundreds," Comitia Centu- riata. This agrarian struggle culminated in a law pro- posed by Volero Publilius, called by his name, which broke the power of the nobles and made Rome a demo- cratic state, (471 B. C.) In a somewhat later period — about 460 B. C, we find the legend of Cincinnatus, the famous patrician who preferred the life of a farmer to that of a denizen of Rome^ but who was thrice in his hfe called to save his country from its foreign foes, — once as a consul, and twice as Die" tator, (an office which gave absolute power for one year), always returning to his country home, followed by the gratitude and blessings of the country which he had freed from its dangers. During this period three persons were sent to Athens and the Greek colonies in Southern Italy, to study their system of legislation. When they returned^ ten persons-^ 5 GENEBAX. HISTORT. Decemvirs — were appointed to prepare a code of laws, (450 B. C.) by which the common people hoped to secure the rights for which they had long contended, and for which they had heretofore no constitutional support. These De- cemvirs superseded all other magistrates, even the Tribunes of the people. The foundation of Roman jurisprudence — the "Twelve Tables" — were the laws enacted in response to their rec- ommendations. They were set up in prominent positions that all might read them, and committed to memory by the boys in the schools, — as more than half a century ago, the boys in many eastern schools were required to commit to memory our Declaration of Independence. At the end of the first year of the Decemvirate, the in- cumbents, who had ruled with such great justice, as to satisfy the people, were re-elected, with few exceptions. Appius Claudius, one of the re-elected, however, man- aged to have a number of like character to himself elected, — bold, wicked, ambitious men. A vile crime committed by him in seizing Virgioia, the daughter of a soldier named Virginius, and claiming her as the daughter of a slave belonging to a chent of Appius, caused her. father to plunge his knife into his daughter's heart to save her from dis- honor. The news of the outrage perpetrated by Appius caused a revolt in the army, and finally led to the restora- tion of the former mode of government, (449 B. C.) In a few years the plebians were made equally eUgibile with the patricians to the consulship. During this period, the Gauls, a brave but barbarous branch of the Celts, had become masters of nearly aU of western Europe, and also of northern Italy. Advancing still southward they attacked Clusium. The assistance of the Romans was invoked by the Clusians. Ambassadors GENERAL HISTORY . sent out by Rome to demand that the Gauls should leave the territory of their neighbors, received from Brennus the answer: "The title of brave men is their swords." A battle ensuing, — in which the Roman ambassadors should have maintained a neutral position, but in which they joined the forces of Clusium, — caused Brennus to abandon the siege of Clusium, and march with his army of about seventy- five thousand men toward Rome. He defeated the Roman army a few miles from Rome, and entered the city. Two fables are related concerning this occupancy: the one referring to the salvation of the Roman garrison in the citadel by the sacred geese of Juno's temple; the other regarding Camilius, who is said to have prevented the payment of the city's ransom in gold and declaring that "Rome should be ransomed only with steel,"— to have attacked and defeated the Gauls. One thing is certain, — when the Gauls left the city it was left in ruins, and all its records being destroyed by them, none but legendary his- tory remains of events preceding this invasion. To relieve the people from the distresses occasioned by the invasion of the Gauls, and the oppressions of the cred- itor class, the Licinian Laws (367 B. C), (Licinius Stolo and L. Sextus, proposers ) were passed. These laws em- braced three important provisions : ( 1 ) Interest already paid, should be deducted from the principal of borrowed money, and the balance should be paid in three yearly pay- ments, (the fouiidation of the modern usury laws); (2) No one should hold more than about three hundred and twenty acres (500 jugera, ) of land, (thus preventing land monopoly); and (3) that one of the two consuls to be there- after elected, in place of military tribunes, — should be of the plebeian order, (thus giving this rank a more equal share in the government). GENERAL HISTORY. The usual, natural result of the passage and attempted enforcement of these laws followed. The nobles resisted the curtailment of their powers; the people insisted upon the granting of their rights; but in the end a perfect eqaal- ity existed in the ehgibility of both patricians and plebeians to all offices, including those of Pontiffs (priests) and Augurs ( soothsayers) and Rome was ready to commence the conquest of the world. TRIBAL WARS. In a period of seventy- five years, Rome in four wars brought all of Italy under her sway. The first war ( about the middle of the fourth century B. C.) with the Samnites, a warhke tribe of central Italy,— continued two years and resulted in the tribe suing for peace. This peace lasted but a few years, when the Samnites defeated the Romans at the Caudine Forks, and compelled them to "pass under the yoke"— a token of submission. After a brief peace of seven years, Rome, in turn, defeated the Samnites and their allies, the Umbrians, Etrurians and Gauls, at Sentinum, (295 B. C.) and by this gained the dominion over nearly all Italy. Rome then turned her forces north- ward to punish the Etrurians and Gauls for aiding the Samnites, and in a short time reduced them to subjection. Meanwhile a war was waged against the cities of Latium. This territory was conquered and annexed to Rome about 338 B. C. Rome now declared war against Tarentum, a city founded by a Greek colony. The Tarentines, unable to cope with their strong neighbor, sought the aid of Pyrrhus, King of Epirus, the greatest general of his time. Pyrrhus having landed in Italy, defeated the Romans commanded by Consul Laevinus. His victory was largely due to his employment in the battle, of elephants carrying armed 8 OENEBAIi HISTORY. men upon their backs. The Romans were terrified by the sight, -even, of these huge animals to which they were unaccustomed. Pyrrhus paid dearly for his success in the loss of his ablest generals and best troops. He gained, however, the addition to^his forces of many of the Itahan tribes, and advanced with his forces to within eighteen miles of Rome, The offer of peace, which he now made, was rejected. The next year, after spending the winter at Tarentum, he a second time defeated the Romans, though himself losing heavily. Leaving Tarentum, he now went to Sicily to drive out the Carthaginians, but meeting with no suc(!^ss in this undertaking, he returned in two years, to Tarentum. Having' been defeated by the Roman army under the Consul, Curius Dentatus, at Beneventum, a town in Samnium, near Capua, he now finally retired from Italy (275 B. C.),«with an almost total loss of the veteran troops which he had brought with him. After the withdrawal of Pyrrhus, the Tarentines asked the aid of the Carthaginians, by whom a fleet was sent in response. But the Romans having succeeded in taking Tarentum, the Samnites and other Itahan alUes of the Tarentines soon submitted. Rome was now the mistress of Italy (272 B. C). She at once organized a system of effective govern- ments over the conquered territory. Some portions were placed under the control of prefects,— magistrates "sent from Rome; some were organized as municipal towns, from which she exacted mihtary service, while local affairs were left to the control of the inhabitants; and in others she planted colonies of Roman citizens, who were given GENERAL HISTORY. the conquered lands, and ruled the inhabitants who were thus somewhat in the position of serfs. To facihtate the rapid movement of troops, Rome built military roads from the city to the capitals of her prov- inces — (the Appian Way, "via Appii," is an example, built by Appius Claudius). Her system of water supply for the city was also en- larged by the building of long acqueducts over hills, across valleys, and in subterranean channels. FOREIGN CONQUESTS. During this period,— from 264 B. C. to 133 B. C.,— the history of Rome is especially remarkable for the splendor of its military development, and for the rapidity and extent of its conquests, ending in the subjugation or destruction of all rival nations, whose independent existence and military power were a threat to the rising power of Rome. Her conquest and pacification of Italy, — the large and numerous colonies of her own loyal citizens, now reheved her from the danger of serious internal troubles, which for two hun- dred and thirty years, — in which time the doors of the temple of Janus had been closed but once, — ^had delayed her progress. Rome now set out to punish the nations which had violated their pledges to her, and to carry her arms against others with whom she had not come in contact. Carthage was her great and growing rival across the Mediterranean. With this city of seven hundred thousand people, having behind it a history of seven hundred years of magnificent power and progress, did she first enter into the arena of battle, waging with Carthage the three fearful wars styled in history the "Punic Wars." Carthage,— a Phcenician Colony in its origin, — had in- herited the commercial instincts of Tyre, and was now one 10 GENERAJL HISTORY. of the greatest maritime nations of tlie world, her ships swarming in the waters of the Mediterranean, her wealth increased by the tribute she collected from three hundred cities of Africa, and her conquests in Sardinia, Sicily, and Spain, rendering her nearness to the domain of Rome an element dangerous to peace. Syracuse, in Sicily, alone retained its independence of Carthage. This city and its territory had been founded by a colony of Corinthians in the eighth century, B. C, and within three centuries had become a populous and strong state ruled by Gelon, a noble patriot. While ruled by the famous "tyrant of Syracuse," Dionysius, it had suc- cessfully resisted Carthaginian aggressions. ^ FIRST PUNIC WAH.— (264 B. C.-241 B. C). After the death of Agathocles, who had become King of Syracuse, 317 B. C, a body of Campanian troops in his service seized Messana, an important town in Sicily and slaughtered the inhabitants, after which they assumed the title of **M:ainertines," — "sons of Mars, or warhke men." Hiero, King of Syracuse, marched against the Mamer- tines, 264 B. C, and defeated them. The Mamertines now asked the assistance of Rome. Although Hiero had aided Rome and was her ally, this did not deter Rome from send- ing forces to Sicily to assist the Mamertines. Hiero then formed an alliance with Carthage. In this manner, wars between the two great repubUcs, lasting more than a cen- tury, were caused by the ambition of a band of mercenaries. In a brief period, Hiero returned to his allegiance to Rome, after the Romans had gained several victories in Sicily. Syracuse and other cities in the island joined the Roman faction. Agrigentum was taken by Roman forces, a fleet built, and a naval victory over the Carthaginians gained, the Consul Duillius commanding. 11 GENERAL HISTORY. A fleet in command of Regulus was then sent to attack Carthage. The troops landing near the city were defeated by Xanthippus, a renowned Spartan general in the service of the Carthaginians, elephants and camels again playing an important part in the battle in which the greater part of the Romans were slain or captured, Regulus being among the latter. (255 B. C. )• Four years later, Hamilcar, having been defeated by the Roman army under Consul MetuUus, sent Regulus, his prisoner, as a messenger to Rome to ask peace, obtaining from him a pledge to return in case of failure. Regulus, loyal to the interests of his country, advised the Senate to continue the war. He then returned to Carthage, where he was put to death, thus redeeming his pledge by the loss of his hfe. In 241 B. C, peace was granted by Rome, but only upon the rigidly exacted conditions that the Carthaginians should evacuate Sicily, should return all Romans held as prison- ers, should acknowledge the independence of Syracuse and pay all the expenses of the war. With the exception of Syracuse and its dependent ter- ritory, Sicily was now organized as a Roman province. A far more important result of this war, was the making of Rome a great naval power. The misfortunes of Carthage continued. Her African allies, and the mercenaries in her employ now revolted. This diflaculty was finally ended by the skill of the great Carthaginian, Hamilcar. Rome had quigkly availed herself of the opportunity afforded by the embarrassment of Carthage, to seize Sar- dinia, converting it into a province of Rome. The orginiza- tion of Sicily and Sardinia in this manner, may be said to have constituted the beginning of Rome's provincial 12 GENERAL. HISTORY. system of government applied to conquered foreign coun- tries, one chief feature of this system being the payment to Rome of tribute, (or taxes). The Illyrian pirates who infested the Adriatic Sea, were now sought out by the Roman fleet and destroyed, thus relieving the eastern shores of Italy from their devastating inroads. The Gauls, who had gained a strong hold upon the northern part of Italy, — Cisalpine Gaul, — were defeated, thus completing the conquest of thafc part of the state lying between the Alps and the Apennines. During this period the Carthaginians, who still held possession of Spain, had conquered,— under tl^ guidance of Hamilcar, — the Celts and Iberians, strong and warlike tribes who inhabited the northern sections of Spain, and had trained them to arms, thereby making them valuable auxiharies to the Carthaginian army. Rich silver mines were also opened by them in portions of their territory, the town of Nova Cartliagena estabhshed, and a period of peaceful prosperity seemed about to dawn upon a war - stricken land. But ambition and a desire to obtain revenge prompted Hannibal, the son of Hamilcar, — by whose death-bed Hannibal had sworn to avenge the injuries suf- fered by Carthage, to attack Roman possessions. This he did, capturing Saguntum, an ally of the Romans in Spain, 218 B. C. SECOND PUNIC WAR (218 B. C.-201 B. C). The second Punic War was the result of this step. Hannibal led his forces over the Pyrenees with the expecta- tion that the recently conquered Gauls would at once flock to his standard, and that he would also be aided by those Italian States which he had been led to think awaited only his advent to rise in arms against the Romans. 13 GENERAL HISTORY. Met by the Roman forces commanded by tbe Consul Scipio, at the Ticinus River, he defeated them, and continued his march until near the river Trebia, he en- countered a second body of Romans under the command of the consul Sempronius. These were also routed by the bold Carthaginian, (218 B. C). Within a year after Hannibal had gained these suc- cesses, he again defeated the Romans in a battle near Lake Trasimenus, in which engagement the Roman army was almost destroyed, and Rome left with but slight protection. Hannibal, instead of following up this victory, waited vainly for the Italians to join him; and the Romans, in their emergency, appointed Fabius Maximus, dictator. Fabius adopted a "guerilla" plan of warfare, small bands of his troops continually harassing the forces of Hannibal and disappearing "Uke a cloud on the moun- tains," after an attack. By this means, "the Fabian poUcy," Fabius exhausted the resources of the enemy and well merited the title given him by his countrymen, — the "Shield of Rome." By the summer of 216 B. C, Hannibal had advanced as far as Cannse, where he was met by a very large Roman army, under the joint command of ^miMus and Varro. The battle gave to the Carthaginians their fourth victory. -It is said that fifty thousand Romans fell on the field of battle, and that Hannibal sent to Carthage more than a bushel of gold rings plucked from the hands of Roman Senators and Knights slain in battle. After the result of this battle became known, some of the Itahan tribes in the south revolted from Rome, though the Greek cities and the greater part of Italy remained her faithful alUes. 14 GENERAL HISTORY. Hannibal decided to go into winter quarters at Capua and there await reinforcements. But the Romans sent Piiblius Cornelius Scipio into Spain to prevent the sending of aid to Hannibal. In ten years, Scipio reduced Spain to a Roman province, (216-205 B. C.) The forces of Hannibal were now so greatly reduced that he protected himself with difficulty against Fabius and his colleague Marcellus,— the "Sword of Rome." Upon the death of Hiero, King of Syracuse, the people established a popular government, and soon afterwards declared war against Rome. After a siege of two years Syracuse was taken by Marcellus, 212 B. C. A great mas- sacre followed the capture. In this slaughter, ilhe famous philosopher, Arcliimedes, who had greatly aided his fellow- citizens in their assaults upon the besiegers by the machines he invented, was slain. Meantime, Hannibal, disappointed in his hope of rein- forcements from Carthage, awaited in camp the approach of his brother, Hasdrubal, who having crossed the Alps was on the march to join him. His army, however, was intercepted by the Romans and defeated; the head of Hasdrubal, who was slain in battle, thrown into Hannibal's camp was the first intimation the latter had of his brother's fate. Rome having now decreed to "carry war into Africa," Scipio was placed in command, and landed, 204 B. C, near Utica where he defeated the Carthaginian and Numidian forces. From this point he then marched almost to the very gates of Carthage, which was now placed under a close siege. Hannibal, who had been recalled from Bruttium with the remn^its of his army, drew up in battle array at Zama; and seeing that his army was much inferior in IS oe:p^ebail, history. numbers to that of the Romans, he made proposals of peace to Scipio by whom they were rejected. The defeat of Hannibal at Zama, 202 B. C, ended the second Punic War. As the price of peace Carthage agreed to evacuate Spain, her last foothold in Europe, to return all Romans held as prisoners by her, to make payment for fifty years of a heavy tribute in gold, and to undertake no future wars against Rome. Scipio, on his return home, was honorod with a great triumph, and the title Af ricanus was con- ferred upon him. Hannibal, a few years later, was compelled to flee for safety from the hostihty of his countrymen and the Romans to the court of Antiochus the Great, King of Syria, whom he assisted in his war against the Romans. The latter pre- vaihng in the contest demanded of Antiochus, as a con- dition of peace, the surrender of Hannibal. Hannibal now fled to Bithynia; but being closely followed by his unre- lenting foes, in order to avoid falhng into their hands, he took his own hfe, 183 B. C. The conquest of Macedonia and Greece was the next step in the onward march of Rome. Phihp, King of Mace- donia, had assisted the Carthaginians in their struggles with Rome. Rome never forgot, nor left unavenged, an injury, real or fancied. In addition to the offense already given by Philip, he was plotting the conquest of Egypt, Pergamus and Rhodes. Rome claimed these as her alhes and under her protection. This was a sufficient excuse for her to enter upon war with Macedonia. Flamininus, the Roman general placed in command of the invading forces, soon united the whole of Greece, as alhes, by proclaiming her independence of Philip. At the battle of Cynos-Cephalae, 197 B. C, the power of Mace- 16 GENERAL HISTORY. donia was broken, and Rome, the "mistress of Italy" became the "arbitress of nations." Five years later, war against Antiochus, King of Syria, was entered upon, 192 B. 0. This King, without asking the con^*' it of Rome, had presumed to attempt the subjugation of Asia Minor. An unforgiven aggravation, he had also given refuge to Hannibal, Rome's bitterest enemy, and had allowed his escape. He had finally filled the cup of Roman wrath to the brim, by sending aid to the ^tolians. His Greek allies were defeated at Thermopylae, 191 B. C, and his fleet scattered. In the battle of Magnesia, Asia Minor, the army under his personal command was routed by the Roman general Lucius Scipio, who in ho^j^or of this victory received the title of Asiaticus. Human honors are often fleeting. The two Scipios, — Asiaticus and Africanus, — were subsequently accused by their rivals and enemies in Rome, of the crime of embez- zling the pubMc funds. Publius Scipio Africanus retired from Rome disgusted by the ingratitude of his countrymen, and died in Campania 183 B. C. Lucius Scipio Asiaticus, suffering the persecutions of his enemies for a time, was afterwards honored by the State for his eminent services. Phihp, of Macedonia, was succeeded by Perseus, who made an attempt to free Macedonia and Greece from Roman domination. After a war of three years' duration, he was conquered at Pydna, 168 B.C. .^niilius Paulus, his conqueror, entered Rome in triumphal procession, Macedonia having been finally united to the Roman dominions by him one hundred and forty- four years after the death of Alexander the Great. Corinth, an important city of Greece, was captured and burnt to the ground by the Romans, 146 B. C, thus leaving in the peninsula no city of strength sufficient to make it a center of revolt against the power of Rome. 17 OENEBAL HISTORY. THIRD PUNIC WAR (149 B. 0.-146 B. C.)- Though Carthage was subdued and no longer a dan- gerous rival to Rome, yet a strong party of Roman leaders were determined to effect its complete destruction. It is said that Porcius Cato, the Censor, ended every speech he dehvered in the Senate with "Delenda est Carthago,'^ (Carthage must be destroyed). This unquenchable hatred was the real cause of this final war with Carthage, the pre- text was furnished by the Numidians who had long been allies of the doomed city. Allured by the weak condition in which the Carthagin- ians had been left by the second war with Rome, Masin- issa. King of the Numidians, made inroads, which the city repelled, into the territory of Carthage. The Roman claim that the Numidian was an ally of of Rome was a sufllcient pretense for Rome to interfere. In order to turn aside the hostility of Rome, Carthage ban- ished from her domains all who had given offense, and gave up her arms and military supplies. The sacrifice was profitless; Carthage was told that she must yield to total destruction. Driven to desperation the citizens shut their gates, put to death every Roman whom they could seize, manufactured weapons and determined to fight to the end. Under the leadership of their skilled general, Hasdrubal, they kept the Romans without the walls for three years, until the Romans, led by Scipio Africanus Junior, scaled the walls (146 B. C). After a continuous slaughter of six days' durations the city was burned. Every house which escaped the flames, was, by the order of the Roman Senate, razed. The conquered territory was organized as the province of Africa, with Utica as its capital. The site of the city remained a desert until the second century A. D., when it was rebuilt by the emperor Augustus, and be- came in the lapse of about two hundred years, one of the finest cities in the Roman Empire. 18 GENERAL. HISTORY. The destruction of this new city of Carthage by the Arabs occurred about A. D. 700. Only a few ruins to-day show the site of this great rival of Rome. The Carthaginians, who had settled in Numantia, a city in the northern part of Spain, continued their resistance to Rome for some years after the destruction of Carthage. Commanded by Viriatis, whose mihtary skill made him the equal of the best generals of Rome, this city withstood a siege, by Scipio ^mihanus, of fifteen months. The fam- ished inhabitants, who had even eaten the dead, were after the city was captured, sold into slavery, and the city destroyed. Rome had now become the "sole great power %f the world." Confined to Italy at the beginning of this period of conquest, at its close she had extended her sway over all southern Europe from the Atlantic to the Euxine, and had made her power dreaded by the kingdoms east of the Mediterranean, even as far as Egypt. All of this rapidly acquired territory was now governed by her, as provinces of Rome under control of proconsuls. Her great conquests added great wealth to the city; many great improvements were made to promote its wel- fare, and, true to Roman custom, more mihtary roads were built. The conquest of Greece added to her population a long list of Greek scholars, teachers and musicians, who introduced the study of Greek Hterature and advanced the adoption of the refining Greek customs. Plautus, Terence and other writers mark the rapid rise of Latin Hterature. But with these advantages which wealth brought were sown the seed of hcentiousness and corruption, effeminacy and profligacy, which in after years led to dissensions, civil, and servile wars in the next period, and to the down- fall of this mighty power in the end. 19 GENERAL. HISTORY. OUTLINE QUIZZES. ( THIRD PAPER. ) 1. Who were tlie Etruscans? 2. How many Kings ruled in Rome? 3. In what year did the Kingdom come to an end? What form of government followed? 4. How were the early records of Rome destroyed? 5. What was the first gain of the Plebeians toward equal rights with the Patricians? 6. What was the Decemvirate? 7. What was the Appian Way? 8. What were the Licinian Laws? 9. What were the Samnite Wars? 10. Who was Pyrrhus? 11. What were the causes of the Punic Wars? 12. Who was Hasdrubal? Hannibal? 13. Name the battles of the second Punic War and tell which side was victorious in each. 14. Who was called the "shield of Rome" and why? 15. How did Pubhus Cornehus Scipio Africanus earn his title "Afticanus." 16. What were the terms of peace at the end of the Second Punic War? 17. What was the cause of the Third Punic War? 18. What did Rome gain by the following battles: Magnesia, Pydna? 19. Compare the condition of Carthage at the begin- ning and at the end of the Punic Wars. 20. How did Hannibal meet his death? 20 CIVIL GOVE,RNMENT. (THIRD PAPER. ) *'The duty of each generation is to gather up its inher- itance from the past and thus to serve the present and prepare better things for the future". THE CONSTITUTION, continued. Sec. III. Clause 5. The Senate shall choose their other officers^ and also a president pro tempore^ in the absence of the Vice-President, or when he shall exercise the oj^oe of President of the United States. When the vice-president presides over the senate he has no vote unless there is a tie. When the pres^ent pro- tempore presides he has a vote, whether there is a tie or not, because he is a senator. Clause 6. The Senate shall have the sole power to try all impeachments: when sitting for that purpose, they shall he on oath or affirmation. When the President of the United States is tried, the Chief- Justice shall preside] and no person shall he convicted without the concurrence of two thirds of the members present. Impeachment is defined as the accusation and arraign- ment of a high civil officer. "The articles of impeachment are a sort of indictment; and the House, in presenting them, acts as a grand jury, and also as a public pros- ecutor". (Story). The Senate, in listening to the pros- ection and in rendering a decision acts as a judge and petit jury. In case the President is tried, the vice-president does not preside as in other cases, because it would be to his advantage to convict. Clause 7. Judgment in cases of impeachment shall not extend further than to removal froTYi office, and disqualifica- tion to hold and enjoy any office of honor, trust, or profit under the United States; but the party convicted shall never- theless be liable and subject to indictment, trial, judgment, and punishment, according to law. CIVIL GOVERyMENT. The impeached person is tried simply as an offending official, not as an offending citizen. As an official he can only be removed and disqualified, or removed without be- ing disqualified. But if he has violated a state law (by committing murder, for instance), he will still be subject to trial under the laws of the state in which the crime was committed. There have been only seven cases of im- peachment of U. S. officials and two convictions. In 1803 John Pickering, U. S. district judge in New Hampshire, was impeached for intemperance and mal- feasance in office and was removed. In 1860 W. W. Humphreys, U. S. district judge in Ten- nessee, was impeached for treason in advocating and aid- ing secession and was removed and disquahfied. Andrew Johnson was the only president impeached. He missed conviction by one vote. Section IV. Clause 1. The times, places, and manner of holding elections for senators and representatives shall be prescribed in each State by the Legislature thereof; but the Congress may at any time, by law, make or alter such regu- lations, except as to places of choosing senators. In 1872 Congress passed an act providing that the first Tuesday after the first Monday in November should be the day for the election of representatives. This is also the day when votes are cast for presidential electors and for state officers. In 1871 Congress passed an act requiring the use of written or printed ballots, and in 1899 the use of the voting machine was approved. As the senators are chosen by the legislatures at the respective state capitals, it is right that Congress should have no authority to dictate the place of choosing. Clause 2. The Congress shall assemble at least once in every year, and such meeting shall be on the first Monday in December, unless they shall by law appoint a different day. . CIVIL GOVERyMENT. Each regular session of Congress begins on the first Monday in December. The term of each Congress is two years. Therefore there are two regular sessions for each Congress. But since the term of a Congress ends on March 4th, the second session of that Congress must end on that date and it is therefore called the "Short session" in con- trast with the first session which, as it does not have to close March 4th, is called the "Long session". It is inter- esting to note that the representatives do not meet, unless a special session of Congress is called, until about thirteen months after they are voted for. The representatives of the 58th Congress were voted for in November 1902. Their term began March 4th, 1903, when the second session of the 67th Congress closed. If there is no special session, they will not meet till the first Monday in December 1903. The "Long session" of the 58th Congress will then begin. Section V. Clause 1. Each house shall be judge of the elections^ returns, and qualifications of its own members, and a majority of each shall constitute a quorum to do business; but a smaller number may adjourn from day to day, and may be authorized to compel the attendance of ubsent mem- bers, in such manner and under such penalties, as each house may provide. A new member presents his credentials in the house to which he has been elected and the house determines whether or not he shall take his seat. If as many as fifteen meet, but not enough to make a quorum, absent members may be arrested by the sergeant-at-arms and compelled to attend. Clause 2. Each house may determine the rules of its proceedings, punish its members for disorderly behavior, and, with the concurrence of two thirds, exp^l a member. Every deliberative body is self-governing. There must be rules and penalties even in organizations as august as CIVIIi GOVERNMENT. the Senate and the House of Representatives. Even there, men are often prone to ignore the rights of opponents; even there, men lose their tempers sometimes to the ex- tent of exchanging blows; even there, a few men have been expelled for objectionable conduct. Under Mr. Thomas B. Reed's Speakership an important change was made in the rules for determining a quorum. It used to be that those who refused *o vote were not counted. A member could debate on any question and, by refusing to vote, have himself considered absent as far as a quorum was con- cerned, and could thus obstruct legislation. The chief pur- pose of rules is to facihtate business. Mr. Reed insisted on counting the non-voters and this has become estab- lished as the legal method of procedure. Clause 3. Each house shall keep a journal of its pro- ceedings, and from time to time publish the same, excepting such parts as may in their judgment require secrecy, and the yeas and nays of the members of either house on any question shall, at the desire of one fifth of those present, be entered on the journal. Secrecy is not consistent with our kind of government. The people should be able to know what their servants are doing. They may know through the press, the journal of proceedings, or by actual attendance. Voting is usually viva voce, unless the result is doubtful, when a rising vote is taken. When the vote is by yeas and nays each mem- ber's name is called and he responds with yes or no and a record is made of every vote. Clause 4. Neithjsr house, during the session of Congress, shall, without the consent of the other, adjourn for more than three days, nor to any other place than that in which the two houses shall be sitting. Though there are two houses, yet they are one body, the Congress, and the two work for a single purpose, CIVIL GOVERNMENT. National legislation. Therefore, as a matter of course, they should not act without reference to each other on the question of adjournment. Section VI. Clause 1. The senators and representatives shall receive a compensation for their services, to be ascer- tained by law, and paid out of the treasury of the United States. They shall in all eases, except treason, felony, and breach of the peace, be priviliged from arrest during their attendance at the session of their respective houses, and in going to and returning from the same; and for any speech or debate in either house, they shall not be questioned in any other place. Members of Congress receive a salary of $5000 a year and a mileage rate of ten cents for every milejiecessarily travelled in going to and returning from each regular ses- sion. They are also allowed clerk hire and some other incidentals are furnished. The speaker of the House and the president pro-tempore of the Senate receive $8000 each, the same as the members of the cabinet If it were not for this guarantee of freedom from arrest members of Congress might be legally detained for matters trivial in comparison with their work as national legis- lators; for example, they might be summoned as witnesses or to serve on a jury. They are not protected from arrest for a criminal offense. The provision, that members shall be free to say what they please within their respective houses, insures them from intimidation from without against slander suits. Immoderate language or sentiments, in either house, may be rebuked by the house and the speaker restrained from further objectionable expressions. Clause 2. No senator or representative shall, during the time for which he was elected, be appointed to any civil office under the authority of the United States, which shall have been created, or the emoluments thereof shall have been in- creased, during such time; and no person holding any officg CTVIL GOVERXMENT, under the United States shall be a member of either house during his continuance in office. It is seen from this clause that a senator or represent- ative cannot assist in creating a new office or in increasing the salary of an old one with the expectation of reaping the benefit himself during nis term in Congress. There is nothing to prevent his accepting such an office after the expiration of his term. A person holding an office under the U. S. government must resign it upon taking his seat in Congress. He would not have to resign a state office. Section VII. Clause 1. All bills for raising revenue shall originate in the House of Representatives; but the Senate may propose or concur with amendments, as on other bills. This is analagous to the plan in England whereby the House of Commons, the people's house, originates bills for raising revenue. "Raising revenue" in this clause is con- strued to mean, levying taxes. This properly belongs to the house which is in closest touch with the people who must pay the taxes. Clause 2. Every bill which shall have passed the House of Representatives and the Senate, shall, before it become a law, be presented to the President of the United States; if he approve, he shall sign it, but if not, he shall return it, with his objections, to that house in which it shall have originated, who shall enter the objections at large on their journal, and proceed to reconsider it. If after such reconsideration, two thirds of that house shall agree to pass the bill, it shall be sent, together with the objections, to the other house, by which it shall likewise be reconsidered, and if approved by two thirds of that house, it shall become a law. But in all such cases the votes of both houses shall be determined by yeas and naySj and the names of the persons voting for and against the bill shall be entered on the journal of each house respectively. If any bill shall not be returned by the President within ten days ( Sunday excepted ) after it shall have been presented to Mm, the same shall be a law, in like manner as if he had CIVIL GOinBRyMEXT. signed it, unless the Congress by their adjournment prevent its return, in which case it shall not be a law. Bills, except those for raising revenue, may originate in either house. Suppose a bill originates in the Senate; it is passed by a majority. It is sent to the House of Repre- sentatives. If it does not get a majority vote there the bill is said to be "killed". But suppose it gets a majority vote in the House. It is then sent to the President. He signs it and it is a law. Suppose he does not sign it; he sends it back with a statement of his objections to the house in which it or'glnated, in this case the Senate. The Senate considers his objections and votes on the bill again. This time if it gets a two-thirds vote in the Senate, it, and theipbjections, are sent to the House of Representatives. If it gets a two thirds vote there it becomes a law notwithstanding the President's veto. But suppose the president neither signs the bill nor returns it; it becomes a law if he keeps it ten . days, not counting Sundays, providing Congress does not adjourn within ten days. If it does, the bill does not be- come a law. And, as this is equivalent to a veto, and the president has virtually "pocketed" the bill, it is called a "pocket veto". The veto power was not used much by the early presi- dents. The later ones have used it more freely. The king of England has the power of absolute veto, but this power has not been exercised by any English sovereign since 1707 in the reign of Queen Anne. The veto power is considered a check on hasty legislation. There are, then, three processes by which a bill may be passed. (1) It may re- ceive a majority vote in each house and be signed by the President. (2) It may receive a majority vote in each house, be vetoed by the President and repassed by a two thirds vote in each house. (3) It may receive a majority CIVIIi GOVEByMENT. vote in each house, be sent to the President and be kept by him for ten days during the continuation of the session. Clause 3. Every order ^ resolution^ or vote to which the concurrence of the Senate and House of Representatives may be necessary (except on a question of adjournment ) shall be presented to the President of the United States; and before the same shall take effect^ shall be approved by him, or being disapproved by him, shall be repassed by two thirds of the Senate and House of Representatives, according to the rules and limitations prescribed in the case of a bill. This clause prevents the passage of bills under the name of order or resolution. But a concurrent resolution, like adjournment, and some others not to be taken as law, do not need the President's signature. A resolution to propose an amendment to the constitution would not require his signature. Sec. Vni. Clause 1. The Congress shall have power to lay and collect taxes, duties, imposts and excises, to pay the debts and provide for the common defence and general welfare of the United States; but all duties, imposts and excises shall be uniform throughout the United States; The taxes levied by the National government are prac- tically all indirect. Duties are taxes on goods imported. Excises are taxes on certain manufactured articles, e. g., intoxicating hquors and tobacco. According to the second part of this clause there must be no discrimination against any part of the country. Taxes levied by Congress must be uniform. Clause 2. To borrow money on the credit of the United States; When the government manufactures paper money, such as "greenbacks" and treasury notes, and uses it in paying its expenses, it really borrows, because each bill is a promise to pay and those promises must be redeemed sometime. The most common method of borrowing money 8 for national purposes is by issuing government bonds, which are promises to pay at a certain time, usually a good many years hence, and the holder of the bond draws inter- est from the government. The last bonds issued draw two per cent interest. U. S. bonds are exempt from t^-xation. Clause 3. To regulate commerce with foreign nations, and am,ong the several States, and with the Indian tribes; Before the constitution was adopted the several states made regulations governing both foreign and inter -state commercial relations. Great confusion resulted. Com- merce could not be promoted under such a system. Now we have uniform regulations, uniform duties on imports and uniform inter-state regulations. The Indian tribes are wards of the nation. They should, therefore, be cared for by the nation, and this is done even where a tribe lives entirely within the borders of a state. ' Clause 4, To establish an uniform rule of naturalization, and uniforvfi laws on the subject of bankruptcies throughout the United States; An aUen who wishes to become a citizen must, at least two years before applying for final papers, declare, in the presence of a court, his intention to become a citizen and to renounce allegiance to any other country. When he applies to the court for his final papers it must be clearly shown that the applicant has duly declared his intention, that he has resided in the U. S. continuously for five years and in the state where application is made one year, and that during his residence here he has behaved as a man of good moral character, attached to the principles of the Constitution of the U. S. and well disposed to the good order and happiness of the same. He must also take the oath of allegiance and renounce forever all fideUty to any. foreign state. Children of CiVIt, COVERNMENT. naturalized parents, if under twenty- one when their par- ents became citizens, are considered citizens. Children born abroad to citizens of the U. S. are con- sidered citizens. If a naturalized citizen goes back to his native country and resides there two years, he loses his citizenship here. Under the bankruptcy law of 1898 a man who is hope- lessly in debt may file in the U. S. District Court a petition asking that he be considered a bankrupt. What property he has may be divided among his creditors and he may be freed from any further obligation and may start his bus- iness Uf e anew. The privilege of recourse to this law is often abused by those who are more nearly solvent than they pretend to be. Clause 5. To coin money, regulate the value thereof, and of foreign coin, and fix the standard of weights and measures; The trade of the country could have no stabihty with- out a uniform currency and this can be secured only through national management. The coining of money does not include the printing of paper money, but only the stamping of metals having in- trinsic value. Congress can regulate the value of money to a certain extent by deciding the relative amount of gold and silver to be used in the respective coins. But their value fluctu- ates with the changing value of gold and silver bullion; that is, the purchasing power changes as the market value of bulhon changes. Uniformity is a necessity in weights and measures. If the metric system should be adopted, it would be by act of Congress. There is a good deal of advocacy of this as an in- ternational system. l)oubtless considerable inconvenience and dissatisfaction would follow its adoption in this country. 10 CiVlIi GOVERNMENT. Clause 6. To provide for the punishment of counter- feiting the securities and current coin of the United States ; All the coins, all the paper money, bonds, internal revenue and postage stamps, money orders and some other papers are under this clause protected against counterfeit- ing. Any one who makes or passes counterfeit coin is hable to a fine not to exceed $5000, and to imprisonment not to exceed ten years. Clause 7. To establish post-offices and post-roads; The postal system is under the management of the Postmaster- General. Their are four assistant Postmasters- General. All postmasters who receive more^ than $1000 per year are appointed by the President for foi|p years. All others are appointed by the Postmaster- General. Rates of postage were much higher in the early history of the Department than at present. The plan of rural free delivery is the most important innovation of recent times in the postal system. This feature has advanced from an experimental stage in 1896 to its present condition of practicability, which leaves no room for doubt as to its success. It will have great influ- ence towards popularizing agricultural hfe. The income from the postal system is not sufficient to pay expenses. The deficit is met by an appropriation. Thus the people pay for the service rendered. All roads, whether rail or wagon, over which mail is carried under the authority of the Post-oflBlce Department, are post roads. Congress may not only establish post roads, but may build them or assist in building them, as it did in the case of the Union Pacific and Central Pacific railways. Clause 8. To promote the progress of science and useful arts, by securing, for limited times, to authors and inventors the exclusive right to their respective writings and discoveries, 11 CIVIL GOVERNMENT. Authors are given the exclusive right to control the publication of their productions by copyright issued to them under the authority of Congress. In hke manner patents are issued to inventors. Through this protection men are encourarged to employ their wits in devising things new, useful, and attractive, because the prize of great gain is the probable result. A copyright is obtained from the Librarian of Congress and the total fee required is one dollar. It is valid for twenty- eight years and may be renewed for fourteen years more. An inventor seeking a patent must send a f uU description of the article invented to the Patent Office, and must swear that he believes himself to be the first maker of such an article. When the inventor makes ap- plication he must pay fifteen dollars. When the patent is issued he must pay twenty dollars. The patent is valid for seventeen years, but may be extended for seven years more. The total fee for the extension is one hundred dollars. Clause 9, To constitute tribunals inferior to the Supreme Court; The judicial department of tiie U. S. includes the fol- lowing courts. One Supreme Court. Nine Circuit Courts of Appeal. U. S. Circuit Courts divided into nine judicial circuits and holding court at least once a year in each state. Eighty-three District Courts. One U. S. Court of Claims. Clause 10. To define and punish piracies and felonies committed on the high seas, and offenses against the law of nations; When a ship^s crew follows the business of robbing other ships, they are pirates and may be put to death by any nation into whose power they may fall. 12 CIVIL GOVERNMENT. Any capital crime or penitentiary offense is a "felony.'' By "high seas" is meant the parts of the oceans sub- ject to no particular nation, but to all. The high seas begin three miles from low water mark along the coast of the U. S. International law is referred to in the latter part of this clause. Clause 11. To declare war, grant letters of marque and reprisal, and make rules concerning captures on land and water; In a monarchy the power to declare war usually belongs to the sovereign. In a republic it as fitting that this power, upon the use of which hang such fearful results belong to the wisest, and supposedly the most prudent deliberative body in the nation. In case of a warlike emergency, when Con- gress is not in session, the president, as Commander-in - chief of the U. S. forces, may take such actions as is nec- essary for defense without waiting for Congress to convene. Letters of marque and reprisal are papers issued to private persons authorizing them to go beyond the borders of the country and capture vessels belonging to the enemy. Such prizes, as they are called, are usually sold and the money received distributed among the crew of the ship which made the capture. Vessels thus commissioned are called privateers. The leading nations of the world do not now look with favor upon this method of warfare. Clause 12. To raise and support armies, but no appro- priation of money to that use shall be for a longer term than two years; Congress had not this power under the Articles of Confederation; but could only indicate to the states the number of men needed from each and then wait for the states to enlist them. It is strange how such results were attained under this illogical plan. Limiting the time for 13 CrVIIi GOVERNMENT. which appropriations may be made limits the hfe of the existing army organizations to that time, for it cannot exist without money. Under this plan there is no danger of military rule, for every two years the matter is referred to the people and they, through their representatives, de- clare their sovereign will. Clause 13. To provide and maintain a navy, It is well for a nation to have a strong navy in peace as well as in war; a citizen army may be called into the field in a very short time, but ships cannot be built quickly; andjin these days of rapidly shifting scenes, emergencies are hkely to arise at any moment, requiring immediate naval action. Congress is not limited in making appropriations for the navy. Doubtless one reason for this is that a navy is not likely to control affairs of government. Clause 14. To make rules for the government and regulation of the land and naval forces: There is a list of one hundred and twenty-eight articles for the government of officers and men in the army. There is a similar set of rules for the navy. The punishments inflicted are in proportion to the offense. Capital punish- ment may be inflicted by court-martial, but the consent of the President must be obtained. Clause 15. To provide for calling forth the militia to execute the laws of the Union, suppress insurrections, and repel invasions; "All citizens, and those who have declared their inten- tion to become such, between the ages of eighteen and forty -five", are the militia. Instead of depending upon a standing army and being taxed to death to support it, the citizens stand ready to do their own fighting, when neces- sary. The militia was called upon in 1794 to suppress the Whisky Rebellion; in 1812 against Great Britain; and three evies were made during the Civil War. 14 CIVIL GOVERyMElSrT. Clause 16. To provide for organizing, arming and dis- ciplining the militia, and for governing such part of them as may be employed in the service of the United States, reserving to the States respectively the appointment of the officers, and the authority of training the militia according to the discipline prescribed by congress; A part of the militia is organized by the states, respec- tively, and drilled so as to become efficient in quelling local disturbances, and valuable as a reserve subject to the national call. Clause 1 7. To exercise exclusive legislation in all cases whatsoever over such district (not exceeding ten miles square) as may, by cession of particular States, and the acceptance of Congress, become the seat of the government of the United' States^ and to exercise like authority over all places j^rchased by the consent of the Legislature of the State in which the same shall be, for the erection of forts, magazines, arsenals, dock- yards, and other needful buildings; — and The District of Columbia is governed by a board of three commissioners appointed by the president under the direction of Congress. Congress makes the laws for the district, thus acting as a legislature. The subordinate officers are selected b}^ the commission. The commission mak6s an estimate each year of the amount of money needed for the District, and Congress appropriates half the amount from the national treasury, and the rest is raised by taxation within the district. By having entire control of the capitol and its sur- roundings, Congress can arrange for its own protection. Otherwise it would have to depend upon a state and might not be adequately protected. When the Capital was at Philadelphia, some soldiers, who wanted their pay, were about to attack the Continental Congress, and the state failing to furnish protection, the Congress moved to Princeton, N. J. IS '■■^■m CIVIIi GOVERNMENT. Residents of the District of Columbia have no vote in national elections. Clause 18. To make all laws which shall he necessary and proper for carrying into execution the foregoing powers, and all other powers vested by this constitution in the govern- ment of the United States, or in any department or officer there- of; John Fiske says, in commenting upon this clause: "This may be called the elastic clause of the Constitution; it has undergone a good deal of stretching for one purpose and another, and, as we shall presently see, it was a pro- found disagreement in the interpretation of this clause that after 1789 divided the American people into two great po- litical parties. Hamilton's measures as secretary of the treasury embodied an entire system of pubhc policy and the opposition to them resulted in the formation of two political parties into which, under one name or another, the American people have at, most times been divided. Hamilton's opponents, led by Jefferson, objected to his his principal measures that they assumed powers in the national government which were not granted to it by the Constitution. Hamilton then fell back upon the elastic clause of the Constitution, and maintained that such powers were implied in it. Jefferson held that this doctrine of 'im- plied powers' stretched the elastic clause too far. He held that the elastic cliause ought to be construed strictly and narrowly; Hamilton held that it ought to be construed loosely and liberally. Hence the names 'strict-construc- tionist' and 'loose-constructionist', which mark perhaps the most profound and abiding antagonism in the history of American politics. Practically all will admit that Jjhe elastic clause, if construed strictly, ought not to be con- strued too narrowly; and if construed liberally, ought not 16 CIVIL GOVERNMENT. to be construed too loosely. Neither party has been con- sistent in applying its principles, but in the main, we can call Hamilton the founder of the Federalist party, which has had for its successors the National RepubUcans of 1828, the Whigs of 1833 to 1852, and the Republicans of 1854 to the present time ; while we can call Jefferson the founder of the party which called itself Republican from about 1792 to about 1828, and since then has been known as the Dem- ocratic party". Sec. IX. Clause 1. The migration or importation of such persons as any of the States now existing shall think proper to admit^ shall not be prohibited by the Congress prior to the year one thousand eight hundred and eight, but a tax or duty may be im^posed on such importation, not exceeding ten dollars for each person. There were three states. North Carolina, South Car- olina and Georgia, which wanted to continue the importa- tion of slaves. The others desired to aboUsh it; this clause was put in as a compromise. The word slave seems to have been distasteful, so the word "persons" was used instead. The tax provided for was never levied. This whole clause is, of course, of no effect now. Clause 2. The privilege of the writ of habeas corpus shall not be suspended, unless when in cases of rebellion or invasion the public safety may require it. The words "habeas Corpus" are latin words and mean "y6u may have the body". By this writ any one who is imprisoned or forcibly detained on some pretext, may de- mand that he be taken immediately into the presence of a judge, and, if suflBicient cause cannot be shown for the de- tention of the prisoner, he must be released. This is one of the oldest and most important guarantees of persona liberty. 17 CIVIL. GOVERNMENT. The clause does not say who shall have the power to suspend the privilege of the writ of habeas corpus. In 1863 Congress passed an act empowering the President to suspend the privilege, whenever it is necessary for the public good. It was suspended during the civil war. If it were not suspended in time of rebellion, prisoners held by the government might be able, on legal grounds, to secure their release. Clause 3. No bill of attainder or ex-post-facto law shall be passed. A bill of attainder was a conviction of an accused per- son and an infliction of the death penalty without a judicial trial. The legislative department of a government has no right to assume the prerogatives of the judicial. The words "ex post facto" are Latin and mean '*after the deed". In brief, this means the apphcation of a law or an in- creased penalty in a law, to an act committed before the law was passed. Such a law would be unconstitutional. A criminal can only be punished according to the law existing when the crime is committed. 18 CIVIL GOVERNMENT. OUTLINE 'QUIZZES. (THIRD PAPER.) 1. Define impeachment and outline the procesa. 2. Distinguish between the "long session*' and the "short session" of Congress. 3. What salary do members of Congress receive? 4. Can you mention any limitation to the right of free speech in Congress? 6. What are the successive steps in the passing of a bill? 6. How does the government usually borrow money? 7. By what process may an alien become a citizen? 8. What is the bankruptcy law of 1898? 10. What can you say of the development of the postal system? 11. How is a copyright obtained? A patent? 12. Enulnerate the U. S. Courts. 13. Define piracy; felony. What is meant by "high seas?" 14. To whom does the power to declare war belong? 15. Distinguish between the organized and the unor- ganized militia. 16. How is the District of Columbia governed? 17. Which clause of the Constitution is called the "Elastic Clause?" Why? 18. Can you find the word "slave" in-the Constitution? 19. What is a writ of habeas corpus? 19 DIDACTICS. (THIRD PAP«R.) ICDUCATIONAI, PSYCHOI^OGY. Psychology is the science of mental phenomena. It is the science that deals with mind; that undertakes to ex- plain how the mind acts. As an abstract philosophical science it has no place in this manual, but in so far as it may be applied to the solutions of problems in the education of the child, it is of the utmost importance to the teacher. The successful farmer is the one who knows the nature of of the soil he tills, the successful mechanic, merchant or professional man knows fully the laws controlling the things which he works. The teacher who works witn mind must know the laws of mental action, or in other words he must know psychology. It is the purpose of this paper to set forth briefly a few pretty generally accepted facts as to the working of the human mind which should be recognized by every teacher. When a human being enters this world, he knows nothing about it, to him it is absolutely new and his first business is to explore it, and then to conquer it. But how can he do it? Is he entirely helpless? Can we help him? We can help him very little, but nature has provided him with senses and has sent out from the brain to all parts of the body, — ^to the eyes, ears, nose, fingers, etc. — little nerves capable of receiving impressions and carrying them back to the brain. By means of these impressions man comes to know the world. Nature is at hand with innumerable stimuli with which the nerves are excited and messages carried to the brain. Before the child can know, there must be sensations. The first duty then of the teacher is PIDACTICS. to excite in the child sensations about the subject to be learned. These sensations make the child directly con- scious of the action of the outer world on the mind, and at the same time indicate to him the activity of the mind caused by the sensations. When the mind responds to a sensation in such a way as to make its owner recognize the object ex- citing- the sensation, then we have a perception. By perceptions the child learns to know the world, but all do not perceive alike. This is because a perception in not an external impression thrust upon the mind, but is the im- pression after it has been acted upon by the mind, and since no two minds act in the same way, so no two perceptions are exactly alike. The same object of perception will indeed seldom yield the same ideas in the minds of different people. Take for instance the word "ink." I^et twenty people write the first perception the spoken work *'ink" gave them, and if the people are of various vocations it is safe to say, that no two perceptions will be alike. So one brings into con- sciousness the material of which it is made, to another the ink spot on the floor, and to still another, the written page, etc. What the child already knows, or has experienced plays a very important part in perception. The law of mind in grasping the objects of the outer world, has been stated thus: '*Tlie mind grasps the tilings of the outer world with the aid of what it has experienced, felt, learned md acquired hitherto in the same direction." Hence a perception is not a simple act as one might think, it is not merely a becoming conscious of sensations, but it is rather the fusion of the content of the sensation with similar ideas and feeling already existing in the mind. This act of fusion is apperception, and this psychical process is of the greatest importance to our mental life. It is important, then, for the teacher to grasp the meaning and significance of these three mental processes, — sensations, percep- tions and apperceptions, — and to learn to control them. DIDACTICS. Growth. — The powers of the mind as well as of the body, and spirit grow ^by use. The young- athlete does not gain his great strength suddenly, but only after continued, and often long continued practice. Hence the teacher needs to bear in mind, that the mind acquires power by continued exercise, and that it is constantly striving for more power. The boy that jumps eight feet, can never get to jump ten feet, by continually jumping eight feet. He jumps ten by striving to do so. So the mind is constantly reaching out for the new -unexplored fields, and it is the business of the teacher to give it exercise in these new fields and not to permit it to stagnate. Liearning must be the act of the pupil amd not tliat of the teacher. From the law of perception it follows, that mental activity and growth must come within. The part the teacher can take, is to cause the pupil to re- ceive sensations about the subject to be learned, and to prevent him from receiving sensations about other things at the same time. If the teacher can accomplish these two things, he has the attention of the pupil fastened on the subject under consideration and mental growth follows without further effort on the part of the teacher. A tired teacher once approached Mr. Jay Gould and asked him what he should do in order to be a success in his profession. Mr. Gould asked him what his profession was, and upon being told replied, "let the other fellow do the work." No better advice can be given a teacher. Remember, that the pupil must do the learning, and that to do it he must put forth effort and far better results will folllow than if the teacher tries to do the work for the pupil. From the Old to the New. An important law of mental development is that the new must be connected with the old. When a new subject arises, the first duty of a PIDACTICS. teacher is to relate it to the old by as many links as possi- ble. If there are no connections, then the class is not ready for the new subject and the teacher should assign a new topic related to the old and the new, and thus form connect- ions. Uqually important is the law that the mind proceeds from to concrete to the abstract, from the particular to the general. The child has an idea of John, or Mary long- be- fore he has the perception of brother or sister. The teacher who fails to perceive and obey this natural law is as much doomed to failure as would be the farmer who would at- tempt to raise apples under ground. DIDACTICS PROPER. "Knowledge is power, but like any other power, it is only valuable when imparted to others". Didactics, ( Greek, — didasko — to teach ) . The influence, prosperity and perpetuity of a State depends, under Providence, upon the morality and intelli- gence, the prosperity and happiness of its people. The church and family have, or are supposed to have, the especial supervision of the child in the moral sphere; to the schools is entrusted the more special duty of training- the intellectual faculties. It was a wise old Spartan teacher who exclaimed: "I^et me train the boys of Greece and I will rule the world.'* On being asked how this would give him such power, he answered "because the boys ru% their mothers, the mothers rule their husbands, and the men of Sparta and Athens govern the world." He had a mighty conception of the oflSce of the pedagogue, ( leader of boys. ) The founders of our nation were not ignorant of the influence which education would exert in promoting the welfare of the people. The colonies of New Kngland estab- lished, almost as soon as they were founded, a system of schools for the education of their children. As had been the custom in England, the minister of the parish church was also the teacher of the youths; if the minister was superseded by another, he yielded his position as teacher to his successor. But in a short time this combination of duties was set aside, and educational affairs were no longer under the control of the priest. Thus did those stern colonists begin, at an early date, the separation of Clmrcli and State. DIDACTICS. Memory, — the faculty by which is retained the knowl- edge of past events, sensations, etc. How this faculty is exercised no one can tell. The latest theory is that as a sensation appeals to the mind a cell is formed for its reception. The power to recall the knowledge of past events, of persons, impressions of pain or pleasure, etc., is independent of sensatation or perception. This faculty we classify as Reproduction. Reproduced images are never as strongly marked as the percept, or first impression made upon the memory. Attention and Association are valuable aids in educating the memory. That which appeals most strongly to our attention, will excite most strongly our interest, and make a proportionately stronger impression upon the memory. As we understand more clearly that which we have felt or seen for ourselves than that which has simply been described to us, so can we more easily reproduce its image. The association of circumstances, or events of like nature, is often sufficient to recall that which was apparently hidden under the fog of forgetf ulness. Upon this is based the various systems of Mnemonics ( aids to memory. ) The cultivation of the memory is not such an exact science, that definite rules susceptible of universal applica- tion can be given. But a few general principles may be applicable in the case of all persons, to assist them in their efforts to improve that faculty which has been imparted, in some degree, to all. As in the physical, so in the mental domain of life. Repetition of that which is to be remembered is as necessary as the repetition in gymnastics, or an exercise upon the key-board of a piano. Some teachers have the PIPACTICS. habit of requiring- their pupils to repeat an exercise of memory ten, or fifteen, or more times. The pupil should repeat until he knows, if that is possible. Use, or custom, trains the memory. In manual train- ing", the frequent use of a muscle causes it, in time, to respond almost insensibly to the will. So in the use of the memory. It is often the case that a child, when called upon to repeat some part of a lesson, will reply: "I cannot recollect," or "I forget." Such a pupil should often be required to "commit to memory" a short poem which will excite his interest and which he will understand, for — Understanding is an aid in training- the memory. We lose interest in what we do not understand, 'linterest being lost, attention being weakened, the percept is not sufficently vivid to impress the memory. Hence arises the difficulty in teaching a child whose physical activity is so great that it seems almost impossible to excite his interest. How to excite interest, is a question which often meets a teacher. Are you, the teacher, interested? If so, the course you will pursue will be determined largely by your knowledge of the character of your pupils. The faculty of exciting in a pupil, interest in his work, is somewhat of a personal magnetic quality. Often the desired interest can be called out by exciting to some degree the imaginative faculty which exists in all minds. Imagination, the forming of images, is not confined to the past; it deals also with the present, and reaches forward to the future, while memory can only reproduce the images of the past. Imagination has a strong influence in shaping lives. Those who have inscribed their names high in the scrolls of fame — warriors, statesmen, philan. thropists, authors, sculptors, painters — were spured to their efforts by the image of honor to be gained by success. Imagination, then, may properly be used by the teacher in directing the channels of his pupils thought. 131DACTICS. One caution should be borne in mind in using- the memory. The memory is strengthened only by what it retains; it is weakned by what it acquires only for tem- porary advantages or use. Pupils, — and teachers also, — should be discouraged from "cramming," storing the memory for the time being with isolated facts, simply for the temporary purpose of obtaining high ''per cents," or "passing examinations." The days of Gradgrihd are over. Conception, a general idea — or concept, is the idea in our minds answering to a general name, as soldier — Sui,i,Y. Differing from a perception, or percept, it requires the formation of an idea embracing any characteristics in order to form an image which may be called a class image instead of an individual one. Such an image can be formed only by considering the several characteristics belonging to one of a class, comparing these with those pertaining to another of the same class, and then combining the several distinct impressions thus obtained into one general idea. For instance, a young child can have no general concept of a familiar object, as a cat, until he is of age sufficient to enable him to compare one cat with another. Concepts are classed as general or abstract, the one requiring in its formation the association of an object, as "man"; the other as "manly" being separated from the image in the mind of the object, and relating only to the quality. Since the comprehension of the abstract is a much more difficult mental process than is that of the concrete, it follows that in a child's early school life instruction should be given to a great extent by object lessons in con- nection with the study of books. Interest would be more 8 DIDACTICS. readily excited, attention would be more close, perception would become more vivid, and memory more retentive than in the case of one whose teaching was confined to the con- crete alone. The Reasoning Faculty. The memory may be trained into so effective a condition that it may become a vertiable storehouse of facts, related and unrelated; imagi- nation may be so vivid that it needs not even the basis of an image, or concept, to start it on high revel through the dreams of the past, the present, or the future; the repro- ductive faculty of the mind may at the dictaticu of the will bring into the mental vision all the concepts which associa- tions of the present will suggest, and yet all the^ be but waste lumber. To become of use in either the mental or material world, these faculties must be brought under the subjection of a still higher mental power — the empire of Reason. Whether man alone of all created beings having their homes upon the earth is endowed with the reasoning faculty, or whether he must share the claim to its possession with the lower animal creation whom he calls brutes, is one of those metaphysical questions which it would be profitless to discuss in a work of this kind. There seems to be evi- dences that the power of reasoning is possessed to some degree by those animals which have become the helpers and the friends of man through many generations of domesticity. The house dog and the horse may be cited as examples. Do they not often show in their actions the apparent results of the exercise of the reasoning faculty? What is reason? It is that faculty of the mind which enables us to collate, compare, and combine facts stored in memory's cells with each other, and from such mental act to deduce the relations of one proposition with another, and DIDACTICS. thus by a connected train of thought reach a definate con- clusion. This conclusion may be wrong-, because of some defect in the train by which the conclusion was reached. A true process of reasoning will consist of three parts, — called in I^ogic, the Major Premise, the Minor Premise, and the Conclusion. There are two modes of reasoning, — the inductive, and the deductive. Inductive ( in-duco, to lead into, ) reasoning is that mode by which, from the examination of many specific facts, we are led into the formation of a general law. In mathematics we are led by the investigation and analysis of problems to form a general law which we style a Rule. By the deductive ( de, from, duco, to lead, ) mode of reasoning we trace from a general statement downward through a chain of propositions, until we reach a particular statement — one which is of importance in proving the truth of some previous statement. The reasoning powers of the mind cannot be said to be essentially equal in all minds. But they may be educated by a course of study especially adapted to that end; and this training may begin in the early days of a child's school life. Certain studies will be useful aids. History will train the mind to reason — if properly taught — from cause to effect, lyct a teacher take the cord upon which is hung the events of the Revolutionary War, — for instance, — and trace the underlying principal evident in the resistance to the Stamp Act down to the Declaration of Independence. The child will display not only greater interests in the study, but will find its power of reasoning more and more developed. '*Why should girls, who never expect to become surveyors, civil engineers, or teachers, study Geometry,'* is a question which parents often ask. The reply would be, because it trains the reasoning povi^ers,— not, of course, 10 DIDACTICS. if the teacher and student are satisfied with parrot-like recitations of the printed demonstrations, but when original demonstrations are required. Closely allied to Reason, — walking arm in arm with it,— is a faculty we call Judgment. It is that faculty by which, from a train of reasoning, we are enabled to form a correct conclusion. Only in the severe school of experience can the judgment be trained. There can be no royal road in its training. We recognize this fact in our use of the expressions, "he is a man of poor judgment;" "his judg. ment is unsound," etc. THE SCHOOI,. ''Leisure" is the primary meaning of the Greek word, Schola, from which we derive our word school, hence we obtain by a species of deduction the definition of a school as a place in which there is leisure for the pursuit oi learned instruction, or a place in which the mind may be trained and knowledge acquired. By the term com- mon school we signify any institution of learning below the rank of a college or academy; when such an institu- tion is supported by the proceeds of taxation we style it a public school. A distinction — though it may not be considered an important one, — exists between the words scholar, student, and pupil, in their application to one engaged in the pursuit of knowledge, although in general they are used as synonyms. A scholar is one who has leisure to learn from a teacher, or one who has already acquired special knowl- edge of some branch. It is in this sense that we speak of a man as a fine Latin scholar, etc. A student, (studere, — to study, ) is one who pursues his investigations without the personal assistance of a teacher. The term is properly ■1 PIPACTICS. applied to one acquiring- any class of knowledge, hence we often use the expression "a student of human nature" in which no reference to books or recorded knowledge is intended. The term pupil ( pupillus-le, diminutive of pupus-a, — a boy, or girl ) is only to be used when we would refer not only to the instruction received from the teacher but also to the governmental oversight of the child exer- cised, hence it is strictly correct to speak of a child as a ''bright scholar but a disobedient pupil." In forming the Constitution of the State of Illinois, wisdom was shown in the provisions made for the establish- ment and support of public schools. As all teachers do not have access to a copy of the school laws, we make here several extracts from the Constitution. To these will be added from time to time extracts from the school law, and from decisions of the higher Courts in this and other states upon legal points affecting the rights, etc., of teachers, pupils and parents, information not possessed, perhaps, by one teacher in a thousand unless he is also a lawyer. Articles, Section 1, of the Illinois Constitution reads as follows: The General Assembly shall provide a thorough and efficient system of free schools, whereby all children of this State may receive a good common school education. § 2. All lands, moneys, or other property donated, granted or received for school, college, seminary or university purposes, and the proceeds thereof, shall be faith- fully applied to the objects for which such gifts or grants were made. § 3. Neither the General Assembly nor any county, city, town, school district, or other public corporation, shall ever make any appropriation, or pay from any public fund 12 DIDACTICS. whatever anything- in aid of any church or sectarian pur- pose, or help to support or sustain any school, academy, seminary, college, university, or other literary or scientific institution controlled by any church or sectarian denomina- tion whatever; nor shall any grant or donation of land, money, or other personal property ever be made by the State or any such public corporation, to any church, or for any sectarian purpose.'* Under the provisions of this Article, all schools in the State have been organized. A common school, then, is a place in which pupils are assembled for the purpose of receiving instruction from and submitting to the government of a legally authorized teacher. As pupils they have certain relative rights. In no organized com- munity can any one claim absolute rights; even the right to life and liberty is confined by law within such limits as law may define. The pupil in a school room can claim only such rights as may be exercised without infringing upon the equal rights of others in their enjoyment oi school privileges. Order is one of the first essentials in securing the benefits of a school, and order is a personal objective to be secured by the personal effort of each one. Not alone in the^school room, but on the grounds and streets it is essential. A school which assembles, and which is dismissed at the tap of the bell, in a disorderly manner soon degene- rates in character, and fails to meet the end for which it was established. It must be remembered by pupils as well as by teachers, that the schools were established, not as charitable institutions, nor for the direct benefit of school officers, teachers and parents, but for the benefit of the children and the State. Since the school law opens the doors of the school room to any one between the ages of 13 DIDACTICS. six and twenty-one years, it follows that injustice would be wrought if the time of the teacher should be occupied in "keeping order." The older pupils should value their oppor- tunities at so high a rate that their influence and example would lead the younger pupils to exercise more self res- traint than they otherwise would be apt to do. Punctuality is a habit which the pupil may cultivate at school, if be has not all ready acquired it at home. The whole system of modern business is based upon time; every shop, every factory opens and closes its daily work by the clock, every railroad train must reach its various stations upon time; every bank demands promptness in financial transactions from its patrons; — these are but a few illustra- tions of the value given to the aphorism "time is money." The want of punctuality upon the part of pupils is very often the fault not of the child but of the parent, but the parent can be reached only through the child. It would be a just law that would inflict the punishment for tardiness in such cases upon the parent and let the child go free. Obedience is a requisite element in a child's training whether he be at home or in school. Children unaccus- tomed to the exercise of this virtue at home, are often a detri' ment to the order of a school and an injury to their school- mates. And not alone in this comparatively limited sphere is the effect of disobedient habits acquired in youth felt, but through all future life. It is neglect in exercising the power of self restraint which leads to lawlessness in all its degrees, and renders necessary the iron hand of law to restrain, at least, the tendency to crimes against society, and to anarchy. Studiousness is a quality of mind which it is neces- sary to cultivate from the moment a child begins its school life. By this is not meant only a diligent application to 14 DIDACTICS. books, because that is an impossibility, on the part of very young children who constitute the larger part of school membership. Older pupils who can pursue study without the constant aid of teachers must have acquired this habit in an earlier stage of school life, or the school will be regarded by them as truly **a place of leisure." But young children may be studious in their play; may be not only allowed but encouraged to draw pictures, make figures, letters, etc., on their slates; and the school day will not become a torture of weary hours long drawn out. Motion, doing something — is the natural proclivity of the healthy child. Neatness is largely a matter of imitation, b%t it is a habit which should receive great attention because it is a habit. Neatness in person may be required of all so far as water will insure it, neatness in dress is dependent upon the care and industry of the mother. A slovenly woman will rarely send to school any but a slovenly child. Here the teacher can work only by her own example and that of schoolmates. But neatness of the school desk, neatness of floor may be made matters of direct personal teaching and learning. But if a teacher's desk is so littered that it would require a tornado to clear it, if books and papers are thrown wherever it may be most expeditiously done and left in that condition, the pupil will have a just answer to any rebuke of the teacher for the want of neatness. "Example is stronger than precept" holds in the school- room as elsewhere. Truthfulness not alone in word but in act is absolu- tely necessary, if a pupil shall receive the greatest possible benefit from school life. There is a strong tendency to cul- tivate the very opposite quality in the habit indulged in by many teachers of calling upon the individual pupils at the IS DIDACTICS. beginning of a recitation to report the quality of their pre- paration. Rarely is any other reply heard than * "perfect," though during the progress of the recitation this high degree of knowledge proves to be one of the phantoms of the imagination. If the truthfulness and consequent honesty of the pupil is not a certainty, such methods as monthly written examinations become mere fancies as they are justly regarded by experienced teachers. Kindliness of feeling, and in actions towards school- mates should be inculcated by every means. Many annoy- ances, charges of unfairness on the part of teachers, and the like, often result from the unkindly dispositions of one or two pupils who stir up ill feeling and strife among their fellows. The habits of home life have much to do with the "school disposition" of the pupil, a disposition which must often be counteracted in its effects by the exercise of rigid authority. THE PARENTS IN SCHOOI,. The statutes of almost — if not entirely — all States con- tain sections definitive of the rights, powers and authority of persons engaged in professional or other occupations except that of teaching. "In loco parentis" is usually the brief summary of the teacher's authority and power, without an accompanying definition of those of the parent. Decisions of the Courts in various States bear only upon the immediate cases brought before them, and these decisions are colored more or less by the sentiments and customs of the community. What rights, it may be asked, may be claimed by parents in connection with the schools, which become for so many hours of the day the home of their children, and from what parental rights are they bar- red. As has been remarked in another place, all rights are relative and not absolute, in any position or condition of 16 DIDACTICS. civilized society. The parent has a right to demand that his child should receive from a teacher the same degree of attention, the same amount of pains-taking instruction, the same treatment in discipline as strict and impartial justice would demand, the same kindly treatment as is given to any other pupil. The affectionate solicitude of a parent follows the child to the school, especially in the early days of its school life. The parent then has the right to visit the school as often as his desires to do so may prompt him, and to spend as long a time as may be agree, able. Such visits should be welcomed by the teacher, and cordial invitations given to repeat them. The ''mother's chair" should be a part of the school furniture as^uch as the teacher's desk. It is entirely proper for the parent to suggest to a teacher any change which from the more intimate knowledge of the child's disposition, etc., possessed by the parent may prove beneficial. Teachers very often resent this as an intrusion or reflection upon their knowledge or judgment, but a wise teacher will listen, and prove the value of such hints before rejecting them. Parents by such action do not always mean criticism of the teacher, but earnest interest in the pupil. The health and future happi- ness of many a child has been severely strained, if not permanently injured by ignorance on the part of the teach- ers, especially of those so young in years that the position of pupil would befit them more than that of the teacher, — of physical disabilities of the child which only the mother could freely impart. There are teachers who cannot refrain from making in the presence of pupils remarks derogatory to their parents or friends. However little sensitiveness a child may seem to possess, reflections of any kind are not only entirely out of place in the school room, but will invariably excite in 17 DIDACTICS. the minds of the pupils a feeling of dislike for the teacher who indulges in them. Often do parents visit the school room to inquire into the facts in such cases; often, too, deter- mined beforehand to give the teacher a "piece of her mind," however little a "piece" can be spared. Even in such instances the parent should be received with courtesy, and frequently will leave not only with an apology to, but a friend of the teacher, though it must be confessed that sudden conversions are not as frequent as would be desir- able or possible, if the angelic symptoms were not often hidden by the angel of the schiool room. THE SCHOOIy HOUSE AND SCHOOI, ROOM. In the locating and building of school houses probably less attention is paid to architectural principles, to utility, and hygienic law, and to convenience than is shown in the structure of buildings designed for any other purpose. Churches, hotels, office buildings, residences are recog- nized as demanding such a choice in location, material and internal arrangement as will promise the most complete adaptation to the needs of the occupants. Accordingly we find that before entering upon the construction of a building of either of the classes specified, one who is supposed to have acquired some knowledge at least, if not expert skill in building is not only consulted, but is in most instances employed to draw a plan embodying all those features which seem to be required. But in locating and building a school house, very often the only question considered by the school officers is the cost. An architect who has given special attention to the construction of this class of buildings may be employed, especially in the larger cities and towns to submit plans and to superintend the mechanical part of the undertaking, and this without the special knowledge of all those questions which enter into the internal arrange- 18 DIDACTICS. ments. Probably not one teacher in a thousand is ever asked to give advice, or to express an opinion in reg-ard to the school house or school room, and probably not one teacher in a thousand is competent to give advice or even to draw a simple plan of a school room. Yet no one should be more interested in everything that pertains to the place in which not only he, — but the children, also, to whom he stands in loco parentis, — must spend so many hours of his life in giv- ing instruction and caring for the physical as well as for the mental training of his pupils, and they in gaining that which is to fit them for lives of future usefulness and happiness. School houses should be so located as to be easily access- ible by the ordinary routes of travel,— not placed, as is too often the case, especially in country districts, in some out of the way localty, simply because the land could be bought more cheaply, or because such a location would better suit some family of greater influence. The building should not be constructed without some regard to esthetic principles, a mere form of four walls pierced by a door and a few win- dows; neither should it make a profuse display, externally or internally of unnecessary ornamentation. Due regard should be paid to the safety of the inmates in case of fire endangering lives, each more valuable than the cost of many buildings. In Illinois, and several other States, the law requires all doors in buildings intended for general assemblages to open outwardly in order that there may be no hindrance to the escape of inmates. It also requires outside fire escapes to be attached to buildings exceeding a certain height. These laws are constantly violated, although a fine is Attached for neglect to comply with the law. 19 DIDACTICS. The question of vetitilation and proper heating of school houses is of more importance, perhaps, than when applied to dwelling" houses. This is because the inmates of the schoolroom are so much greater in number, and differ so much in their personal habits and clothing- from those of the dwellings, that the measures applicable in the latter structures would be insufficient in school rooms. But rarely do we find any arrangements, based upon scientific principles, for the ventilation of the school room. To throw open a door, or to open a window is, in most cases, the only means by which a change of air can be effected, and this mode is not available usually in cold weather When the open window is the only means, a shield to deflect the current of cold air toward the ceiling before it comes in contact with the person of the pupil may enable the teacher to control partially not only the heat of the room but the purity of the air as well. The seating* of a school room should not be done in a hap-hazard way. The desks should be so stationed that the light should not fall directly upon the eyes of the pupil, but should be directed upon the page of the books used from behind the pupil. It may be better in some cases that it should fall over the left, at other times over the right shoulder. The pupils should if possible face a blank wall, though in so doing the teacher may be required to face the light. But a teacher has a privilege denied to the the pupil, — that of changing his position in the room at his own will, and can thereby avoid too great exposure to the light. ^ Probably the greatest defect in any appurtenances of the school room is found in the walls. So much stress is now laid upon exercises apparent to the whole class of pupils, that it is rare to find a school room in which the walls are not covered entirely around the room for about 20 DIDACTICS. one-third of their height by what are appropriately called "blackboards." They are blackboards not only in color, but in their effects upon the light of the room, and their still more detrimental effects upon the eyes of the pupils. No one can fail to notice the obscurity of light in such a room, very marked upon dark days when the sun's light is hidden by clouds, an obscurity so dense that it is impossible to continue any work depending upon the use of the eyes. No one can walk the streets of our towns and cities and not be struck with the great number, not of adults of mature old age, but of young school children also whose appearance shows defective eyesight, even to the extent of wearing spectacles. The "sin" which has entai^d this necessity upon them in most cases is the sin of the black- boards and arrangements for light in the schoolroom. But by few is this cause of defective sight recognized. Few even of our oculists ever think of the schoolroom and its light when examining the eyes of a patient. Now it is not to be inferred that wall-boards are objectionable; it is the color. Nature gives the key to our optical laws as well as to other physical phenomena. Blue and green, gray and brown are the prevailing tints used by Nature's artist. The blue of heaven, the green of earth, the brown of the forest trees, and the gray of the rocks, are all restful to the tired eyes of man, as much as the songs of Nature's Choir is restful to his tired spirit. A light tint of green nearly the shade of the green carpet of grass, is almost an ideal color for wall-boards. It is by no means so injurious in its effects upon the optic nerves, nor does it require so great a strain upon the muscles of accommodation as black, while it adds to the cheerful appearance of the room, and furnishes a more artistic background to pictures which may be hung upon any portion of it. The suitability of the desks to the 21 DIDACTICS. size of the pupils by whom they are to be used, is a point to which sufficient thoug-ht is not given by those whose duty it is to superintend the selection of the school room furniture. With many a desk is a desk, and that is about the measure of their knowledge of the matter. Those who cannot endure a comparatively short period of an hour in church services without complaint, will yet compel their children to submit to the greater torture in the schoolroom of desks unsuitable in size and shape. A desk should be of such a height as would enable the occupant to rest the feet firmly on the floor; the back of it should not be, as is often the case, a strictly verticle plane, but should be inclined backward from the seat at a slight angle, and have such a curvation of surface as would adapt it to the natural curvature of the spinal column. This would be a hygienic back for any chair or seat; it would prevent not only that sen- sation of weariness which ensues from the long continued strain upon the muscles of the body but the still. greater tax upon the nervous system of the child. Many defects, such as spinal curvatures, the elevation of one shoulder above the level of the other, the distortion of the neck resulting often In a pernament disfiguration squinting of the eyes, etc., are very frequently defects having as a cause one entirely unthought of by parents and physicians, — the improper and anti-anatomical position of the child in school for a period of time ranging from eight to sixteen years, a period fraught with physiological evils unknown to those whose life is spent in the open air. That would be a slovenly family home in which no ar- rangements were made for the disposal of hats, cloaks, etc., in an orderly and systematic manner, but where each mem- ber was free to dispose of such garments in such places as might be most convenient to himself. The schoolroom is 22 DIDACTICS. the temporary home of the child. Cloak rooms, well lighted, should be provided in connection with every room, in which the children should have the "right of property" to some especial spot. These rooms should never be used as places of punishment by solitary confinement of derelict pupils. There could then be no complaints of thefts or other misde- meanors, complaints which teachers are compelled to inves- tigate and which can rarely be unraveled. Nor should these rooms ever be used as places of recreation. Tidiness is, with some, a natural personal trait, with others it must be acquired either by precept or by example. 23 DIPACTICS. OUTLINE QUIZZES. 1. Give the etymology of "school." 2. What is the present meaning- of the word? 3. What is the difference between a common school and a public school? 4. How are public schools established and supported? 5. What is the legal status of a teacher? 6. What sectarian restriction regarding schools in the constitution of IlUinois? 7. Name the absolute school rights of a pupil. 8. Why is order on the part of the teacher and the pupils necessary? 9. Why is want of punctuality an evil habit? 10. Why is obedience necessary? 11. What do you understand by diligence? 12. How secure it of the very young pupils? 13. What do you say of untidy habits of teacher and pupil? 14. Why is truthfulness absolutely necessay on the part of teacher, as well as pupil? 15. Why should kindliness be inculcated? 16. What advantages may be derived from parental visits? 17. How should they be secured? 18. What do you say of reflections upon friends in the presence of pupils? 19. Which do you consider more important, health or education? 20. How secure ventilation, if the builder has made no provision for it? 24 ALGEBRA. (THIRD PAPER.) "You must see with your brain as well as your eyes". To Find the Least Common Multiple of Mo- nomials. Model: Find L. C. M. of 18a%^c\ Ibb'^c^Xy and 96c»2. SOLUTION. 18a263c2=2X3X3Xa2X&^Xc*. 15b^c^=3X5Xb^Xc^XX' 96ca;2=3X3X&XcXa;2. Hence the L. M. C.=2X3X3X5Xa2X&^Xc^Xa;2=: 90a263c3x2. Explanation: The prime factors of the coefficients, taking each as often as it is found in any one of the quan- tities, are 2, 3, 3, and 6. The prime factors of the letter a, In like manner, are a, a, which are denoted by a^. Also the prime factors of 6 are denoted by 6^, and those of c by c^ and those of x by x^. Taking each of these factors the greatest number of times ic occurs in either of the given quantities, the product, 90a%^(^^y is the L. C. M. Rule:— Separate each quantity into its prime factors. Take each factor as often as it is found in any one of the quantities and form their continued product. This will be the L. C. M. Or, to use a shorter method, find the L. C. M.-of the coefficients, and to it annex all the letters in the quantities, giving to each letter the exponent of its highest power in either of the quantities. ALGEBRA. EXERCISES. ( Find the L. C. M. of the following quantities: 1. 6a3, 9a263, and 18ax^. Ans. ISa^b^x'^. 2. 14a262c2, 3562c3. and ^2a^b^x'^y^, Ans. 210a^b^c^x^y^. 3. 4a, 7a26, 12a36^ and 15a%*, Ans. 420a364. 4. 6a2xVj Sax^y, 120^2^, and Qaj/*. Ans. 72a^'^*, 5. 15a263c2, 9a<6c8, and ISa^b^c^. Ans. OOaSb^cS. 6. 21xy^i 28xy\ 35xV> and 63xV- Ans. 1260xV' 7. lea^bc^d, 32a26x2, 4Sa^cy^, and SGaxV- 8. 19mn2, blmhi^y, SSm^nx^ and 76m^n^xh/^. 9. 34x2/3, dlx^y^z^, lIx^yH'^, and 102x3i/32;3. 10. 27m27ix2, 36mn2/2, 45m2n2x22/2, and 72mnxy. To Find the Least Common Multiple of Poly- nomials. Model: Find L. C. M. of a^+b^ and a^+2ab+b\ SOLUTION. a2+2a5+62=(a+6)X(a+&). Explanation: As will be seen, the factors have been multiplied together, taking each as many times as it occurs in either of the quantities. The product, a*-\-a^b-\-ab^-\-b* is the L. C. M. Or, since the H. C. F., (a+b), contains all the factors common to both quantities, if one of the quantities, as (d +2ab4-62), be divided by the H. O. F., (a+5). and the quotient, (a-|-b^, be multiphed by the other quantity, ^^3-1-63), the product, a^+a%-\-ab^+b\ will be the L. C. M. ¥- V- Hule:— Separate the quantities into their prime factors and find the product of these factors, taking each the greatest number of times it is found in either of the quan- tities. The result is the L. C. M. ALGEBRA^ Or, divide one of the quantities by their H. C. F. and multiply the other by the quotient. The result will be the L. C. M. Note: If there are more than two quantities multiply the H. O. F. by the quotients of all the quantities divided by it. For example, the H. O. F. of a^+2ah-\-b^y a^+a^b— ab^—b^i and a^ — 6^, is (a+b) ; dividing these quantities by this H. 0. F., we have, respectively, the quotients, (a+6), (a2— 62), and (a— 6), whose product, with that of the H. 0. F. (a+b) is a^—2a^l^+ab*-{-a^b—2a%^-]-b\ the L. C. M. EXERCISES. Find the L. 0. M. of the following: * 1. a2— 62 and a^—2ab-\-b^. Ans. a^—a%—ab^+b\ 2. m^ — n^ and m^—n^. Ans. m"* — mn^-}-m^n — ?i*. 3. a2— 1 and a2+2a-fl. Ans. a^+a^— a— 1. 4. ac— 6c, ax — 6a7, ay — by, Ans. acxy — bcxy, 5. x2— 4, a;2— 4x4-4, and 2x2+8a;-|-8. Ans. 2x<— 16x2+32. 6. m2-fm+l and m^— 1. Ans. m^ — 1. 7. 4(l-f7i2),8(l— n),4(l— ii2),and8(l+n). Ans. 8(1— n*). 8. m2+2m and (m+2)2. Ans. m(m+2)2. 9. 1 — x2, 1 — x^, and l-(-x. Ans. l+x — x^ — x*. 10. a2-f 2a64-62, a^— 62, and a2— 2a6+62. Ans. a*— 2a26a +6*. FRACTIONS. A Fraction, (frangere— to break), is an expression in- dicating dfvision; it is usually represented by a quantity called the Numerator written above a horizontal line, and having another quantity called the Denominator written below it. The value of a fraction is the quotient arising from the division. In Arithmetic the denominator (denominare — to name,) gives name to the fraction; in Algebra, the name A£,GEBRA. of the fraction is taken from the form of the numerator. Thus,— a a — b 2a— 3&4-C x-\-2h—y — 3c V 2x ' x—y ' 2(a— 2a&) * are respectfully read as follows: The Monomial fraction * 'a" divided by "4," binomial fraction "(a— 6)" divided by "2x1'; trinomial fraction "(2a— 36-fc)" divided by "(a; —2/)"; quadrinomial fraction 'Hx+2— 2/— 3c)" divided by twice the binomials "(a — 2a6)". The Sign of a fraction is always written at the left of the dividing line, and should never be elevated above its level. It is the sign of the operation to be performed, and not of any term in the numerator or denominator. If this sign is minus (— ), it changes all signs in the numerator when the fraction is reduced to a whole number. " Great care should be exercised in the observance of this effect. As in integral quantities, the sign -f- may be under- stood when the fraction is the first term of an algebraic quantity. The terms of both numerator and denominator have ' signs independent of the sign of the fraction and when the sign of the fraction is changed the signs of each term in the numerator, or of each term in the denominator, are correspondingly changed. For instance, / , h — c-\-d\ —h-\-c—d h—c+d X — ( a-\ ' — )=a; — a ' , or x — a ' — . If all the signs of the numerator are changed, the sign of the fraction is changed; a-\ — -5— =a -—-, In like manner, changing the signs of all the terms in ttie denominator changes the sign of the fraction; a-\ — -?— ALGEBRA. Changing the signs of the terms in both numerator and denominator does not alter the sign of the fraction, that is the changes balance each other; a-\ — ^^=a+ ~ T"^ ; PRINCIPLES. The principles involved in transforming fractions, are the following: 1.— Multiplying the numerator, or dividing the denom- inator, multiplies the fraction. 2.— Dividing the numerator, or multiplying the denom- inator, divides the fraction. 3.— Multiplying or dividing both terms of a fraction changes its form, but not its value. TRANSFORMATIONS.—CASE 1. To change an integral quantity into a fraction having a given denominator: Rule:— Multiply the integer by the given denominator, and write the denominator under the dividing line. This application of the third principle is based upon the fact that every integer has a denominator 1 under- stood, but not written. 1. Change 26c to a fraction whose denominator is 30. . 605c Ans.^^. Model operation: Change Sab to a fraction whose denominator is 6. 3a&= Sab . Sab 6 18ab 1 1 ^y~ 6 • 2. Change 2a-}-36 to a fraction whose denominator is 8ab+1268 46. Ans. ^ . 3. Change x-\-2y to a fraction whose denominator is b^-d^. Ans. — §i_^ -. ALGEBRA, 4. Reduce 3a+46 to a fraction having 6c^ for its de- 18ac2 4-24&c2 nominator. Ans. 6c2 5. Change a+6 to a fraction having a~b for a denom- a2— 52 inator. Ans. —; — jr. 6. Change 3ahy to a fraction having 4a— 6 for a de- 12a-by—3ab^y nominator. Ans. . . . 7. Reduce ca;+% to a fraction having c-f2 fora de- c^x-{-cdy-\-2cx-\-2dy nominator. Ans. —70 • CASE 2. To reduce a fraction to any required denominator: Rule. — Divide the required denominator by the de- nominator of the fraction and multiply both terms by the quotient. m 1. Reduce-5- to a fraction whose denominator is 21. Operation: 21^-3=7 mX7 _7m Ans. 3X7 —21' EXPI, A NATION. Dividing 21, the required denominator, by the given denominator 3, the quotient is 7. Multiplying both terms 7fn of the given fraction by the quotient 7, the result, -2^ is the required fraction. 2. Change y ^^ ^ fraction whose denominator is 14. lOd Ans. -j^. ALGEBRA. 3. Reduce -r^ to twenty-fourths. Ans. 2^ 4 24 * d CLC 4. Reduce -, to the denominator be. Ans. -,-. 2x 4;r2 5. Reduce -^ to the denominator \'^x. Ans. ,Tr-. 6. Reduce -^— to the denominator \%cd. Ans. .. , , . 3 7. Reduce ^z:^ to the denominator a2_^2^ ^^g^ 3(a+^) ^2 — _^a • CASK 3. To reduce a fraction to its lowest terms: * Note. — A fraction is in its lowest terms when the numerator and denominator have no common divisor. 2\a^bcU^ 1. Reduce ^2abcd^ **^ '*® lowest terms. Operation: 2\a^d^-^2\abcd^ acd A2abcd^ -i-21abcd^^ 2 ' Explanation: The factors 3, 7, a, by c, dy d^ are com- mon to both terms. When the common factors are can- ard celed, the fraction becomes -2~; or we may say the pro- duct of these common factors, their H. C. F., is 21a bcd^; dividing both terms of the fraction by this H. C. F., the acd result is -x-. In either case both terms have been divided by the same quantity, hence the value of the fraction is unchanged. (Principals). Since the terms in the result acd have no common divisor, -^ ^^ t^® expression of the given fraction in its lowest terms. ALGEBRA. Rule.— Cancel common factors of both terms and form products of remaining factors. Or, divide' both terms of the fraction by their H. C. F. EXERCISEIS. Simplify the following fractions: ISabx^ ."^ 2. og„A9^s.;9 "» Ans. 3. 4^3y Ans. ^. 4. I? — 0TTTT9. Ans, a^—2ad+d^' ^^^' a—b ' a^—b^ a—b ^' a^-{-2ab+b^' ^^^' a+b' 4;r2 2x "• o^ -in^s" Ans. 7. 8^— 10Ar2- ^^»- 4— S^r* 2^—2 8. 9. 10. 11. 12. ^3 — _^' a^—2ab a^—4ab-{-4b^' 2.^2— 5;tr-|-3 x'^+x—2 • ALGEBRA. Solution: gg— ^8 {a^—d^){a^+d^) {a—d){a^-\-ad-[-b^)[a+b){a^—ad^-b^) Canceling- equal factors in numerator and denominator there remains: ( a^+ad+b^ ) ( a^—ab+b^ ) a^J\.aW^h^ (a2H-62) — a^-\.b^ • ^^^* CASB 4. To reduce a mixed quantity to a fractional form: Rule,— Multiply the integral part by the denominator of the fraction; add the numerator of the fraction to the product and place the sum over the denominator. 3a 11a 1. 2a-\-~r» Ans. -7-. Model Operation: 2c 20b 2c 20b-\-2c 2a 2. 5a — -y-' A 4a— 3 3. «+— 6". 4. 2x-i--~—. Ay — 4 5. 2x- 8 ^5=" 5 • 35a: — 2a 33a 1S« 7 - - 7 • Ans. 10a—: 6 3 Ans. 16;»r+4jj/+4 8 Ans. lex- -4J/+4 2a — Sax Sax+20a-\-2a — Sax 6- ^+^+ Sa ' ^"^- 5^ «2_^ C2_^_^^2_^2 7. a—b-^-~-Tj-. Ans. 8. 2a— 25- a-{-b ' ' a-\-b a^—b^ a—b • b—c^ 9. 35-2^+4^114^. CASB 5. To reduce a fraction to a whole or mixed quantity: Rule. — Divide the numerator by the denominator, placing* the remainder, if any, over the divisor, and annex- ing it by the proper sign to the quotient. 44^24-12^+3 1. Reduce ^rz to a whole or mixed quantity. 4;r2-f 12^+3 , , , 3 Operation: — — -^ =;jr-}-3+^ Explanation: Ax is contained in Ax^^ x times; in \2x^ 3 times; placing the remainder 3 over the denominator we 3 have aJ+3+-7— , the mixed quantity required. KXERCISES. Reduce the following to integral or mixed expressions: ah—b^ 2. — T — , Ans. a — d. ax-^x^ . x'^ 3. — . Ans. X — — -> a a 4. i . Ans. a+o, 3a2-^6a— 2 2 5. 5^ . Ans. a-2— 3^. 6. x^-\-y^ ^_^y ' Ans. x^—xy-^y^, 7. ^, ^ . Ans. a^—ab-\-b\ a^-^2ab+b* 8. a — b a*-^2x* ^' a+2x • 4x^—3x+S4 x+A ' 12a^+4a—Zb . 4^ ' 10. 10 ALGEBRA. CASE 6. To reduce to their L/Owest Common Denominator, — for the purpose of adding- or subtracting- their equivalents — Kule: Find the It. C. M. of the denominators of the fractions. This will be the lowest common denominator. Divide this common denominator by the denominator of each fraction, and multiply both terms of the fraction by the quotient. EXAMPI^ES. Reduce to their Lowest Common Denominator: 23:r 4x 1. -5-, and -^. Model operation. Lt. C. D. is 30. First multiply by 6. 23;r 6 138;tr ■ g ^6~~30~ ^®<^o^^ multiply by 5. 4x 5 20x 6 ^S^W 7b Sb , Ub 15b 2. -g-, and -g-* Ans. ^, and ^. Ab 3c . 16b^ 9c^ 3- "37' ^"^ Jb' ^^^- 12^7' ^^^ 12^- 4a-[-Sb Sa—4 ^ 12a-\-15b lOac—^c ^' "^^' ^"^ "^37~* ^"^- 6J~' ^""^ ~6^~' x+y x—y aj2__y 3a^a;H-3«^j/ 2rta; — 2 ay 5. — T~> Tr~» aiid — r-;^ — • Ans. -z—: » 2 ^t 2 3^ 2a 6ac 6ac 6ac x^2 x—2 a;-f3 x^-\-x—2 x^—x—l 6. -^ipi* -^Zli* and ^2:::^. Ans. a.2_i » jci-i » a a 7. ,^ AWA^. and (a-<^)('^— r) ^""^ {a—c){b—cy a^ — ac a^ — a5 ^^^' {a—b){a—c){b-cy (a—b){a—c){b—cy 11 8. ALGEBRA. 4 24 2x ■^=5' .4x2—25' ^^^ x+S' a a 2a 9. -tttj -tt-^' •X2~?»' and 10. "H^' a+3' a2_9' ^nu ^_^. x-\-Z x—2 1 a;2_|_a._2' a;2_4a;_|-3' and (3.^2 )2' ADDITION AND SUBTRACTION OF FRACTIONS. The addition, or the subtraction of fractions, is based upon the following- principle: Similar fractions only can be added or subtracted. Rule:— Reduce the given fractions to similar frac- tions, (fractions having the>ame denominators). Add or subtract the numerators and place the result over the common denominator. With mixed numbers the operations may be performed upon the integers and fractions separately and the results united. EXAMPI.ES. Add a b ax — ay-\-bx \-by 1- -^4^' -^' A'^s. ^aZIy • l-f^, i—d 2+2^2 ^4^2 2. 3Z:^' -i^' ^^^' l—d^ ' ^^ ^+1—/^' 14-a2 1— a2 2-f2a^ 4a* 3. iZ:^2' iq:72- Ans. ^3^, or 2+^3^4. a;2 a; a; 2x^ 4. -9 — ;» ^ , . » — — 7' Ans. a;2_i' x+1' JB-l* ^"^' x2— 1* 2adc 6ad ^ , , . .. . hc-\-^ad 5- Ta^' T^y Ans. (after reduction) -2^^. Subtract Sacc 2aa; lahx — 3aa; 6. ^ from 4^. Ans. ^^^ • 4 6 2a;— 10 7. ^Hi from -^q:^. Ans. -2=4- 35+1 x—\ ^ —4a; 8. ^3i from ^q:^. Ans. -^Zi' 12 ALGEBRA. Reduce to simplest form ^' a—b~^a-^b a-{-b a—b' ^^^' ^21132 '• .A ^a^bf {a—bf . 6aH-\-2b^ 11. (2a.+-^)-(3x— ^^). ^^- xy '~xy-\-:^~W^' ^^^' ^• -.>. a?4-2 a;— 1 ^ - 13a;+2 14- i^^f^M.. 1^ — |^^ AM^ o; . Ans. 12. («— 6)(a;— 3) (x-f4)(»-3)* ^"'*- (aj— 6)(a;— 3)(a;+4)' 3a;2— 21/2 IS. ix^-y)- 16. 3a+j/ a;*— ;y a;2_j_^ x^—f~ a;2+y gg— 2 2— g 2 ^^* (x+7)(a;-3)+(a;+5)(a;-3)+(a;+7)(a;+5)' '^'^** —2 (a;+7)(aj— 3)(a;+5)* a— ^ 6 g2_^2 MUlyTlPI^lCATlON O^ FRACTIONS. Rnle: — Reduce mixed numbers, if there are any, to a fractional form, and every integral expression to a fraction with 1 for a denominator. Indicate the operation by the multiplication character, and cancel all factors which are common to both terms. The product of the numerators ^will be the required numerator, and that of the denominators the required denominator. 1. Find the product of Infin Sab x^y Zxy^Ucd^m^n' 7m^n Zab x^y TyjSabm^nx^y abx Zxy^lAcd^ mH ~ Sy^lAcdmhixy ~2cd' 13 ALGEBRA. 2. Find product of a^—b^ a^—2ab a^—2kb-\-b'^ a^—2ab+2b^^ a^—ab ^a^-Y^ab^-b^' l^xpressijig the numerators and denominators in prime factors, (g-f^)(g— ^) g(g— 26) {a^b)[a~b) ,a~b (a—b){a—2by^ a^a—b) ^{a-^b)(a-\-b)'- a-^-d' The common factors cancelled are {a-^b), {a — b)t a, {a— 2b), {a—b). SXAMPI^^S. Find products of 2x Zab Zac Ax ^- -3^' — ' 2^» -2^- ^^^- ^^ • ax ab ^ 2a^b 2. 2a+-^, — . Ans. «*+^^« aa; a^ — x^ c a^c 4 jc+v a?^ — y"^ 4. ^i:^i-2~> 2 • Ans. (x4-:j/)(a;+j^'),ora;2+2a;jv4-y. (g4-^)» Sy 6 24y(g+6) ^* 2^^ ' (fl— 6)' (a+<^r *^®* a— ^ • (g-<^)^ (g+^)y 4 4(g+^) o. y , ^^a—b) ' ia—b)^' ^^^' {a—b)y 7. (^+^). (^-|^)- Ans. x2. x-\-y 2ax ax ^' "T"' 10(x+y)2- Ans. 25(a;+:j//* a:2_2a;y 4-1/2 (^4-^)2 _ 9. ^/. > -^^^' Ans. (6+.)(a.-:v). a;*— :>/< a^>3 6(a;2_y) ^^- a2/^2 f ajs+y Ans. ^ 2d 2^(x2-fy) 4d 11. —I — ::!, iQ . Ans. ad— ^)\/ ab^-b^^/ a^ 12- C«— ^qr-^' \^—^^+^-) \ a^-ab-^b^ )' Ans. a2. 14 AI.GEBRA. ^ — 2xy4-y^ — z^ xA-y — z x ~y — z fj rL-UL \/ — Li^ AtiB — ^^' x^+2xy-\-y^—z^^x—y-^z' -^^^^ x+y+z' a^-\-7ab+12b^ a^-\-ab—2b^ Solution. — Factor the fractions as follows: g2+7g<^+12^2 (a-\-2>b){a-\-Ab) a2+5a<^-h662 — (a-{-2b)(a-^Zby a ^+ab—2b'^ {a—b){a-\-2b) a2+3a<5— 4(^2=( a-\-Ab )( a— by Then, canceling equal factors, (^aj^Zb)(^aJ^^b) {a-b)[a^-2b) {a+2b){a-^2>b)^{a-\-Ab){a—b)--^' ^^^* 15. Multiply :^^^^^^, X^^3+^3 by —^^ 16. Multiply ^(,^+;,) X(^4.^)2_,;,2 by -^— . , a(l— a3) (1— a2)2 (l+a)2 17. Multiply -jq^X l+a+«^ ^^ (i-a)^- fl2_((^2_|.^2_^2<^C) a+^— ^ 18. Multiply a-^^ab-ac ^^ a-\-b-\-c' Ans. a-\-b—c a DIVISION OP IfRACTlONS. Rule:— Multiply the dividend by the reciprocal of the divisor. (Reduce any mixed or integral quantities to fractional form before dividing). Find the result of ~^»«» 1 25 X 1 Solution.— The reciprocal of m is — ; y-5-w=yX— = — . Ans. my a—b cfi—b'^ a^--b^ . Divide -— - by — ;;^— . The reciprocal of — ^- is ^TTpJ c c^ c ^cL^ — b^ a-\-b- IS AJLGEBRA. 1 a^+b^ a^—ab-\-bK Divide -^X^2+2a^+^ ^^ a-\-b Solution. ^ X^2_^2a6+62 ^ ^_|_^ = ^ X a^j^2ab-\-b^ ^a^—ab+b^"^ a^ {a-{-b){a-{-b) ^a^-ab+b^—a' The common factors canceled are {a-\-b) {a^ — ab-^b^) and ia+b). Divide: 4^3x2 2a^x^ ^ lab ^- 655;2-by-^. Ans. — . 8x21/2 2a;i/2 2- -2^^y 4^2^. Ans. ^abx. 5a;2j3 15a;3y j/ m^n^y^ m*n*y^ 2ac ^' 'l^b^ ^^ IM^' ^^^' bm^n^y^' 4a;2— Sic x2— 4 Ax 5. ^ -J- — ^ — . Ans. 3 • '^"*- x+2* a^—b* a^-\-ax a^—a%^—a%'^-\rb^ 6. „o />^^ I ^2-5-^2 A2« Ans. a2 — 2aa;+a;2 • a2 — ^2' • ^4 — ^2x2— a^x-f-aajS ' a;2— 1 <^2(^_|_i) - X— 2a;+l d "^ x-\ ' /^^^- 63 • {a^—ax){a—x) 3{c—x){l~{-x) °* (<^c+<^ic)(l— a;)"^4(a+tc)(a-fa;)* ^- g+d "*■ a—b ' ^"^* gs+^a* 10. (^+7)^(^-^- Ans. 1. g2— 2gc+^2 64fi? 11- 16^ 45 • Ans. ^2_2g^+^2. J20(g2+^"1 5(g+b)2 4(g2H-^^)(g— ^) 12. -j 4(^_^) /-^4(g2— 2g<^-h<^2)- Ans. ^^^^^^ 13. a^—b^ a—b a^—Ab^ ~^a-{-2b' 16 14. ALGEBRA. 9a2_4^2 'i,a—2b 4—^2 "^ 2+a • vt^ — 4m-\-3 m^ — lOm-f-21 m^ — 7m ' m^ — 5m-\-4~^ m^ — 9/«4-20 ^w^ — 5m' a;2— 7ic4-6 x^— 14x+48 x^-\-6x 16. 17. 18. 19. {m-\-n)^ — a^ a^ — (m-{-n)^ nt^ — [n — a)^~^a^—{n — m )^' {m — n)^ — d^ m.^—{n — d)^ {m — b)'^ — n^~^m,^ — {b — n)^' a^—2ab+b^—c^ a—b+c a^+lab^b^—c^'^ a-\-b—c ' compi,e;x fractions. A complex fraction is a fraction which has on% or both terms fractional. As the denominator of a fraction is al- ways the divisor, and the numerator the dividend, a com- plex fraction may be simplified by performing- the division of the numerator by the denominator. a a 1. Simplify T". "l=4--^=4-X4-==T-- — -- 6 b c be a a 2. Simplify b — c . b—c =~ — '^d='r^Y.—r-=^ ,f' . ^ "^ , , — c b — c d bd—cd d d a a 3. Simplify X . x =a-i =«X^^==-^. y XX y y x—y x—y o.. -..^ m-^n m-\-n x—y m-\-n x—y 4. Simplify — . = ~-H- — 7 — = r-X ■^ "^ m-\-n m-{-n m>-\-n x-\-y ni-\-n ^ x-\-y x-\-y x-\-y x^—y^ in-\-n "^ m^-\-2mn-\-n'^ ' a a S. Simplify — T T— . a + (^ ' a — b 17 ALGEBRA. Solution: a{a — b) — a{a-\-d) b{a--d)-{-d{a-\-b) aia—b)—a{a-^b) {a+b)(a—b) ^ {a+b){a-b) " (a+dKa—b) {a-\-b){a — b) a{a — b) — a{a-{-b) a?- — ab—a^—ab — lab ^ b{a-b)-^b{a+b)"^b{a—b) -^b{a-{-b) ^ab~b^+ ab-{-b^^~2ab"' — 1. Ans. in^ m^ 6. Simplify n . Ans. . ^-' nxy xy -^ 7. Simplify 8. Simplify m — 1 m — 1* in-\-\. a — b a-{-b m^ — nfi Ans. {m — 1)2- Ans. 9. Simplify a — b . Ans. 'm-\-n / Q I) a;2 y2 10. Simplify ^_. Ans. ^^-^. a^—b'^ fill — fi^ m^ — mn^-[- mhi-\-n^ a — b 18 ALGEBRA. OUTLINE QUIZZES. (THIRD PAPER.) 1. Explain how to find the ly. C. M. of two or more quantities. 2. Find U C. M. of 18i ac^—c^), 12{ a^-\-ac) and 4{a^—c^). 3. What is a fraction? The value of a fraction? 4. Tell what is meant by "the sig-n of a fraction." 5. What is the result if the sign of the fraction is chang-ed? If the sign of the numerator is chang-ed? The sig-n of the denominator? 6. In what two ways may a fraction be multiplied? Divided? 7. What is the effect of multiplying or dividing both terms of a fraction by the same quantity? 8. How change an integral quantity into a flection having- a given denominator? 9. Change 7? — a^ to a fraction having 7?-\-cfi for a de- nominator. 10. How is a fraction reduced to an equivalent fraction having- a required denominator? 11. Reduce — rr- to a fraction whose denominator la a-\-b 12. Explain how to reduce a fraction to its lowest terms. 13. Reduce — 3 , ,3 — to lowest terms. 14. Explain how to reduce a fraction to a whole or mixed quantity. in — n n—y y—m-A-my fnn ' ny ~^ my * m — 1 m 16. From — — — take — — 7-. tn m — 1 17. Multiply 1-1^ by 2+^. 18. What is the rule for division of fractions? 11 1 19. Divide -:r+-7r by x—\+—-. 20. 19 FIRST GRADE— NUMBER FOUR. Teachers' Home Series fW"^*i»"»» L. B. McKENNA. M. A., II. D., Prealdenl and Director. Qulncy School of CorrespondencOf Quincy, Illinois, '>m COPYRIGHT QUiNCY BUSINESSlCOLLEGE- 1902. BOTANY. ( FOURTH PAPER. ) THE FI,0WER ( CONTINUED. ) The Androecium.— The stamens which compose th" set in the flower, are the male organs of reproduction. The structures are formed of the following- well marked par • 1. Filament, the stem-like portion of the stamen corre" sponding to the petiole in the leaf. Should it be wanting, the anther is sessile. If it is very fine, it is called capil- lary; if more thread-like, filiform; while should it be petal-like, as in the White Pond-lily, it is said to be petaloideous. * 2. Anther, the enlarged part of the stamen at the end of the filament. It is supposed to be the analogue of the lamina of the leaf. Its two lobes appear as though formed of a leaf whose margins have been turned inward until they meet at the midrib. The insertion of the anther on the filament is described as follows: (a) Innate, when standing erect on the end of the filament. (b) Adnate, the filament appearing to pass between the two lobes, these being attached along its sides. (c) Versatile, the anther balanced at its middle on the fine filament, so as to swing freely in any direc- direction. The versatile anther is thus indifferent in its relation to the center of the flower but the other two forms of insertion are usually more con- stant in the direction that they face. When they face inward, the are called introrse; if they face outward, then they are extrorse. 3 BOTANY. In order that the Pollen grains contained in the anther may be liberated when mature, the cells of the anther must split open or dehisce; in doing this each species is found to adhere to a certain plan in its mode of dehiscence. It may be: (a) lyongitudinal or Vertical, when the anther opens by a slit throughout its length. (b) Transverse, when opening cross-wise. (c) Valvular, opening by lateral valves or lids; Ex. Barberry. (d) Porous, pollen discharged through pores, at the apex; E/X. Rhododendron. 3. The Connective, the portion of the anther joining the two lobes, and corresponding to the midrib in the leaf .It may be well marked, as in the Sage, where it carries the lobes well apart; or it may be absent, as in the Hollyhock, where the two lobes are confluent so as to appear as one. 4. The Pollen. — This usually occurs asa fine powdery dust consisting of microscopic vegetable cells, which are developed within the lobes of the anther. Bach cell con- tains a semi-fluid substance called the f ovilla, enclosed within a double cell-wall. The inner of these walls, the intine, is very thin and elastic; while the outer, the extine, is thicker and marked by special lines and markings. In the production of these pollen grains nature is very prodigal, but this is to compensate for the excessive waste in their dispersion; for unless they find their way to the stigma of a pistil in a flower of the same species, they are lost as factors in the process of reproduction. It will be noticed that if this transfer is to be through the medium of the winds, the pollen is light and dry; whereas if carried by the agency of insects it is more moist or sticky. In the Orchids and the Milkweed the pollen is not in separate 4 BOTANY. grains but occurs in masses, these masses being- called pollinia. Number of Stamens.— When the number of stamens is less than twenty they are said to be definite, if more than twenty, indefinite, or polyandrous. If there is only one stamen to each flower, the term monandrous is applied; if only two stamens, diandrous; if three, trian- drous; four, tetrandrons; five, pentandrous; six, hexandrous; and so on to polyandrous. Insertion. — Tlie stamens may be inserted on the corolla, epipetalous, or they may be free from the corolla. They are then hypogynous, if inserted on the receptacle underneath the pistil; perigynous, if inserted on the calyx, literally around the pistil; epigynous, if borne apparently on the top of the ovary; gynandrous, if the stamens are adnate to, or inserted on the style, as in the I^ady's Slipper and Orchids in general. Grouping of Stamens.— Stamens are said to be dis- tinct, when there is not any union with each other. When united, the following terms are often used; monadel- phous, when they are all united by their filaments into one set, as in the Mallow; diadelphous, when united by their filaments into two sets, usually nine and one, as in the Pea; triadelphous, when united into three sets, as in St. John's-wort; pentadelphous, when united into five sets. Polyadelphous is sometimes applied when there is a union into anything more than two sets. Syngenesious is a term used to denote that the stamens have their anthers united into a ring or tube sur- rounding the style, as in the Violet and all the Compositae. When there are only four stamens, distinct, but in two pairs, one pair longer than the other, as in the Gerardia, the term didynamous is applied. When there are only six stamens, 5 BOTANY. not united, but four long and two short, as in the Mustard family, they are said to be tetradynamous. The Gynoecium. — The gynoecium consists of one or more pistils situated at the center of the flower. The flower is said to be monogynous when it has a single pistil, either simple or compound, digynous, when it has two pistils, trigynous, tetragynous, pentagynous, hexagynous or polygynous, when it has either three, four, five, six or many pistils. Morphologically, a pistil is made up of one or more flower-leaves or carpels. A simple pistil may also be called a carpel as it consists of a single leaf blade with margins incurved and united where they meet, forming a closed case or pod bearing ovules on the suture or junc- tion of the margins. The swollen basal portion, which contains the ovules, is called the ovary; the upper portion may taper out to form a more or less slender style sur- mounted by a slightly enlarged tip called a stigma. The suture formed by the united margins of the carpel-leaf is the ventral suture. The line down the back of the carpel corresponding to the midrib of the leaf is the dorsal suture. A compound pistil is made up of two or more carpels. These may be united at their bases only, leaving the upper portion of the ovaries, styles and stigmas, separate; or the union of the ovaries may be complete, leaving the styles and stigmas separate; or there may be a partial or complete union of the styles and stigmas. The union of the carpels may take place in two ways. One method is as follows: Imagine the several carpels with their leaf-margins united to form, first several distinct pistils and then these pistils pressed together and coalesced with their ventral sutures all towards the center. The result will be a compound pistil with as many compartments or cells as there are carpels, 6 BOTANY, and also as many dissepiments or partitions as there are carpels. Furthermore, the ovules would be borne upon a central or axial placenta formed by the enlarged ventral sutures. Now if the partitions between the cells be allowed to disappear, there will be one cell formed from the several cells, and the ovules will be borne on a free central or axial placenta. In the second method the carpels are simply joined to each other by their margins like the petals of a gamopetal- ous corolla. This makes a one-celled pistil with parietal placentae, that is, with the ovules borne on the outer walls of the pistil where the carpel margins coalesce. Sometimes the parietal placentae become enlarged and extend into the center of the cell so far as to almost divide it into Several cells. So there is every gradation between the one-celled pistil with parietal placentae and the several-celled pistil with axial placentae. Ovules. — The ovule is that part in the flower which is destined to become a seed. The ovules may be numerous and distributed throughout the length of the cell or cells of the ovary, or they may be few or single (solitary). They may be sessile or with a distinct stalk, funiculus or funicle. The position and direction of the ovule in the ovary may be designated as, erect, when rising vertically from the base of the cell; ascending, when rising obliquely upwards from the side of the cell, generally near the base; hori- zontal, when projecting horizontally from the side of the cell; pendulous, when hanging obliquely downward from the side or near the top of the cell; suspended, when hanging perpendicularly from the very top of the cell. Structure of Ovule. — An ovule consists of a mass of vegetable cells, sometimes called the nucellus, enclosing a 7 BOTANY. cavity filled with protoplasm, the embryo sac. This is covered by one or two coats, the inner and outer tegu- ments, which do not quite meet at the apex of the ovule but leave a small hole, orifice, or foramen, opening- into the embryo sac. The foramen of the ovule becomes the micropyle of the seed. The place where the teg-uments seem to arise from, or blend with the nucellus is called the chalaza. This is usually at the base of the ovule diame- trically opposite the foramen. The point of attachment of the funiculus to the ovule is the Mlum. Kinds of Ovules.— An ovule is designated as ortho- tropus, or straight, when it develops without curving or turning", the chalaza and hilum being at the base and the foramen at the apex directly opposite the base; anatrop- OUS, or inverted, when it is turn e^ over against and grown to the funiculus, thus bringing the foramen close to the base while the chalaza is apparently at the apex; amphi- tropous, or half -inverted, when the ovule is turned only half way over so that the hilum is midway between the foramen and chalaza. In the last two forms a ridge, or rhaphe, is produced where the funiculus grows to the ovule. In all three preceding forms the axis of the ovule, or line joining the chalaza and foramen, remains straight. When the axis ol the ovule is curved so as to bring the for- amen near the chalaza and hilum, the ovule is said to be campylotropous, or incurved. This kind of ovule has a kidney shaped outline. THE FRUIT. The Fruit consists of the ripened ovary together with any intimately connected parts. EJvery fruit is made up of the seed or seeds, and the inclosing case or 8 BOTANY. pericarp. The pericarp may be composed of carpels only, or it may include the calyx and receptacle. Fruits may be classified as: (1 ) Simple, when they result from the ripening of a a single pistil. Kx.: Pea, Cherry, Gooseberry. (2 ) Aggregate, when a cluster of carpels of the same flower are crowded into a mass. Kx.: Raspberry, Black- berry. (3) Accessory, or Anthocarpous, when surround- ing parts make up a part of the fruit, as the calyx of the Wintergreen, the receptacle of the Strawberry. (4) Multiple, or Collective, when formed from several flowers consolidated. lS,x.: Pineapple, Mulberry. Classified with respect to texture, fruits may b^ ( 1 ) Fleshy, soft and juicy throughout. Ex. : Berries, Grapes, Tomatoes. (2) Drupaceous, (Stone Fruits), outer part fleshy, inner part hard and stony. E^x. : Cherry, Peach. (3 ) Dry Fruits, without any fleshy portion. Again fruits may be: (1) Indehiscent, not opening at maturity to scatter the seeds; or, (2) Dehiscent, splitting open along certain lines to discharge the seeds* The principal kinds of fleshy fruits are: (a) The Berry, soft and fleshy throughout, as the Gooseberry, Currant, Blueberry, Cranberry, Tomato and Grape. (b) The Hesperidium, like a berry but with a leathery rind, as the Orange and I^emon. (c ) The Pepo, or Gourd Fruit, like the berry but with a hard, crustaceous rind, as Squash, Pumpkin, Cucum- ber, Melon. t BOTAXY. (d) The'Pome/fleshy portion formed of the perma- nent calyx inclosing- the papery seed-bearing- carpels which are arrang-ed in the form of a star at the core, as the Apple, Pear and Quince* The Drupe, or Stone Fruit, of which the Cherry, Plum and Peach are examples, has a pericarp divisible into three layers: (a) Eplearp, outermost layer, often the mere skin of the fruit. ( b ) Mesocarp, middle or jfleshy layer. (c) Endocarp, innermost layer or stone. Sometimes only two layers are distinguished, Sarco- carp, or Exocarp, the fleshy or outer portion; Putamen or Endocarp, the stone. Dry Eruits are extremely varied in form and have many names to distinguish them. Of the indeMscent forms the most common are: (a) The Achene or Achenium, usually small, one- seeded, and often so seed-like in appearance as to be mis- taken for a single seed. The surface of the Strawberry is covered with the seed-like achenia. The so-called Sun- flower seeds are really achenia. The Clematis achenia retain the feathered styles, and the Dandelion, the calyx or pappus, both of which help in disseminating the seeds. (b) The Cremocarp, applied to the fruit of the Umbelli ferae and consisting of two achenes united in the blossom but separated in the fruit, as the Caraway seed. (c) The Utricle, similar to the achene except that the pericarp is loose and bladder-like, as in the Pigweed. (d) The Caryopis or Grain, having the pericarp inseparable from the seed, as in the wheat and corn, (e) The Nut which has a hard bony wall, as the Cocoa- nut, Hazelnut, Chestnut and Acorn. It is often partially 10 BOTANY. or completely inclosed by a persistent involucre called the cupule, as in the Acorn, where it forms a cup. Chestnut, where it forms the burr, and Hazelnut, where it forms a husk. The Butternut, Hickorynut, Walnut andCocoanut, are often regarded as modified drupes to which the term tryma is applied. (f ) The Samara or Key Fruit, a winged achene or nut, as the fruits of the Ash, IJlm and Maple. Dehiscent fruits may be formed from a simple pistil or from a compound pistil. In the first case the fruit is called: (a) A Follicle, if it splits down the ventral suture only, as in the Milkweed. (b) A IjCgume or true pod, if it opens alon^^ both the dorsal and the ventral sutures, as in the Pea. The two pieces formed by the splitting are called valves. (c) A Li oiuent, constricted between the seeds and breaking up into segments eventually. In the second case the fruit is called a capsule. This name applies to any dry dehiscent fruit of any compound pistil, but some special modifications have received special names. The capsule may burst open irregularly, or it may discharge its seeds through chinks or pores, or it may split lengthwise into valves. In the last form the dehiscene may be: (a) Loculicidal, splitting along the dorsal sutures of the carpels or directly into the cells; or it may be, ( b ) Septicidal, splitting along the ventral sutures of the carpels or through the partitions, thus breaking up the capsule into the original carpels, which then open by their ventral sutures. If the valves break away from the par- titions leaving them attached to the axis of the fruit, we have what is called sepif ragal dehiscene. 11 BOTANY. The Silique is a modij&ed capsule having- the appear- ance of a leg-ume. It is two-celled because of a false portion between the two parietal placentae. In dehiscing-, the valves break away at the bottom first and when they fall they leave the partition attached to the flower-stalk. This is peculiar to the Mustard family. The Silicle, or Poucll, is a short and broad silique like that of the Shepherd's Purse. The Pyxis is a capsule which opens by a circular hori- zontal line forming a sort of lid. Of Multiple Fruits only two kinds deserve special names, viz: { a ) The Syconium, or Fig-fruit, where the summit of the stem becomes fleshy and hollowed out, and lined with a multitude of tiny flowers, as in the common Fig; and, (b) The Strobile, or Cone, peculiar to the Pines, Spruces, and Coniferae in general. This consists of a number of overlapping scales, each bearing two naked seeds at its base. tniB; SHWD. The seed is the final product of the flower and consti- tutes the principal means of continuing the species. As it is developed from the ovule, many of the terms that apply to the ovule apply equally well to the seed. For instance, the terms designating its position and direction of growth (erect ascending, etc., etc.,) the form ( orthotropous, etc., etc.,) and structure (hilum, chalaza, raphe, etc., etc.,) have the same meaning when applied to the seed as when applied to the ovule. The micropyle of the seed is the remains of the foramen of the ovule. There are two coats to the seed, a thicker outer one (testa), and a thinner and more delicate inner one (teg- men). The outer coat sometimes expands to form a thin 12 BOTANY. wing, or is covered with long hairs (coma), as in the familiar Milkweed seeds and Cotton. Occasionally there is a peculiar outgrowth from the funiculus, which may remain a small scale-like appendage (caruncle of Polygala ), or may become so large as to invest the entire seed, (aril). The mace, of the Nutmeg, and the red succulent covering of the seed of the Staff-tree are good examples of the aril. Within the coats is a mass of tissue called the kernel or nucleus. This may consist of the embryo only, when the seed is exalbuminous, or of the embryo and a mass of nutrient material (the endosperm or albumen) when the seed is albuminous. The embryo is practically a minute plant with a tiny stem (caulicle or radicle), which gives rise to thegroot of the plant, one or more leaves (cotyledons), and a bud (plumule). When there is only one cotyledon, as in the corn, the embryo is monocotyledonous; when there are two cotyledons, the embryo is dicotyledonous; when there are three or more cotyledons the embryo is poly- cotyledonous. The cotyledons may be thin and f oliaceous, or thick and fleshy. In^the latter case the thickness is due to the food stored up within the cotyledons for the use of the future young growing plant. When thin, they may be straight or rolled up (convolute), or folded up (plicate), or variously bent to conform to the shape of the seed. The radicle may be bent up so as to lie along the edges of the flat cotyledons, or along the back of one of the cotyledons. In the former case the cotyledons are accumbent, in the latter incumbent. The endosperm which often makes up the greater part of the seed, is composed largely of starch and acts as a food supply when the seed begins to germinate. It may com- 13 BOTAXY. pletely surround the embryo, when the embryo is axile, or it may be inclosed by the embryo wrapping" itself around the outside, or it may occupy the g-reater portion of the seed, the embryo applying itself close to one wall of the seed. J^STIVATION OR PRElfl^ORATlON. This refers to the arrang-ement of the floral organs in the flower-bud, of which the calyx and corolla form the greater part. As these are only modified leaves, they follow much the same order in their disposition in the bud as the foliage leaves do — so that the terms already given under the caption of "Prefoliation," apply quite as correctly to "Prefloration." A few extra terms only have to be added to the list, to more fully define their forms and relations. 1. Valvate, the edges of the individual leaves touching only, without overlapping. (a) Induplicate-valvate, having margins turned in, leaves valvate. (b) Reduplicate-valvate, margins turned out, valvate. (c) In volute- valvate, leaves valvate with margins rolled inward. 2. Imbricate, when margins of contiguous parts over- lap like shingles. In this form there may be both the equitant and the half-equitant arrangements. 3. Supervolute, the flower-leaves both twisted and folded, all in the one direction; E^x. Stramonium. ANTHROTAXY. This term, also called Inflorescence, refers to the arrangement of the flowers on the stem. There may be only one flower or there may be a cluster on a stem common to all. In the latter case they follow some definite plan in their arrangement. A flower cluster has several distinct parts which are named as follows: 14 BOTAXY. 1. The Bachis, or Axis of Inflorescence along- which the flowers are arrang-ed. 2. The Common Peduncle, or stalk by which the whole cluster is attached to the plant. 3. The Pedicels, or stalks of the individual flowers. 4. The Bracts, the small modified leaves on the rachis, from the axils of which the branches of the cluster spring. If these occur on the branches, then they are Bractlets. There are two principal kinds of inflorescence, the indeterminate and the determinate. In the inde- terminate inflorescence the lowest axillary buds develop first, the upper ones following in order so that the youngest buds are at the tip and new ones are constantly forming at this place. As a result the rachis continues to elon|fate and produce new flowers indefinitely. If the cluster is flat- topped then the oldest flowers are found at the periphery or circumference. In the Determinate type the first flower to mature is the one at the end of the rachis, the others appearing from above downward, so their probable number may soon be definitely learned. In the flat-topped cluster of this type, the oldest flower is found in the center with the later ones at the periphery. This arrangement is sometimes spoken of as centrifugal, in contradistinction to the centripetal plan observed in the indeterminate inflorescence. In both these forms the flowers may be solitary, or they may be clustered— depending on whether it is a single flower, or a group of flowers that springs in the one case from the axil, and in the other, from the end of the stem. In the indeterminate type of inflorescence several varieties are observed; these are as follows; 1. Solitary, flowers occuring singly in the axils of ordinary leaves, 15 BOTAKY. 2. Raceme, a cluster borne upon a lengthened axis, the flowers having pedicels of about equal lengths; Kx. Lily of the Valley. 3. Panicle, a compound Raceme; E^x. Oat. 4. Thyrse, or Thyrsus, a profusely branching, com- pact Panicle; Ex. Lilac, Horse Chestnut, Grape. 5; Uinbel, a cluster in which the flowers reach about the same level; all being set upon a very short rachis, from which the pedicels radiate like the ribs of an umbrella; EJx. Onion, Milkweed. 6. Compound Umbel, the peduncle branching into a number of secondary umbels; Bx. Parsnip. 7. Corymb, a cluster in which, while the flowers reach to about the same level, the pedicels start from different levels along the rachis, so that the lowest ones are the longest; Ex. Hawthorn. 8. Spike, a cluster of sessile flowers arranged along a more or less lengthened axis; Ex. Mullein, Plantain. 9. Head, or Capitulum, resembling the Spike but having a shorter rachis, making the cluster much more compact; Ex. Clover, Dandelion. 10. Strobile, a compact cluster having large scales which conceal the flowers; Ex. Hop. 11. Spadix, a fleshy spike which is surrounded by a large petaloid bract, giving to the whole a lily-like appear- ancer Ex. Indian turnip, Calla. 12. Catkin, or Ament, a slender, pendant spike with scaly bracts; Ex. Willow. The whorl of bracts that often surrounds the base of an umbel or that of a head and sometimes seen in a simple flower, as in the Anemone, is known as the involucre. The determinate forms of inflorescence are as follows; 16 BOTANY. 1. Solitary, when but a single flower blooms at the end of the stem; Wood Anemone. 2. Cyme, a flat-topped cluster on the centrifugal plan; Ex. Elder. 3. Fascicle, a compactly arranged cyme, having shortened pedicels; Ex. Sweet William. 4. Glomerule, or Glomerulus, a dense cluster on the cymose plan, flowers nearly or quite sessile, rachis short. It is like a head, but the arrangement is centrifugal; Ex. Canada Dogwood. 5. Verticillaster, formed by the blending of two glomerules situated in the axils of opposite leaves, so as to appear like a whorl of flowers around a central stem; Ex. Mint. » Mixed Athrotaxy, is a term used to describe the inflorescence when plants show both the determinate and the indeterminate schemes in their flower clusters. 17 y^S BOTANY. (ifOURTH PAPER. ) OUTLINE QUIZZES. 1. A stamen is made tip of what parts? Describe them, 2. Describe three methods of insertion of the anther. 3. What is pollen? How is it set free from the anther? 4. Define the terms definite, monandrous, epi- petalous, hypogynous, perigynous, epigynous, gynandrous. 5. What is the meaning of monadelphous, dia- delphous, syngenesious, didynamous, tetradyn- amous? 6. Morphologically what is a simple pistil? Describe the parts of a pistil. 7. What is dorsal suture? A ventral suture? 8. What is a compound pistil? Give the two methods of union of carpels to form the compound pistil. 9. What is a placenta? Distinguish between ( 1 ) axial placentae ( 2 ) free central placentae and ( 3 ) parietal placentae. 10. Describe an ovule. What positions may it have in the ovary? 11. Describe the different kinds of ovules. 12. What do you understand by the term fruit? 13. Distinguish between an aggregate fruit and a multiple fruit. 14. Describe the following kinds of fruit: berry, drupe, achene, utricle, grain, nut, samara, legume, follicle,^loment, silique, and silicle. 15. What is a seed? Define the terms aril, micropyle, albuminous, endosperm. 16. What is prefloration? Give the three principal kinds. 17. How does the determinate method of inflor- escence, differ from the indeterminate method? 18. Describe a raceme, and distinguish it from a thyrse. 19. Is 'the calla a lily? What portion of it constitutes the true inflorescence? 20. Describe a corymb, and distinp^uish it from ^ cyme, 18 ZOOLOGY. ( F0URi*H pape;r. ) arthropoda. The great branch Arthropoda includes a host of ani- mals only a few of which can be taken up here. The cray- flsher, lobsters, shrimps, crabs, water-fleas and others com- pose the class Crustacea ; the centipedes and thousand- leg-ged worms compose the class Myriapoda; the true six-footed insects compose the class Insecta, which in- cludes nearly two-thirds of all the known species of animals; the scorpions, mites, ticks and spiders constitute the class Arachnida. All of these animals have bilateral, segmented bodies like the worms, but they differ from the worms in possess- ing- jointed appendages, used for locomotion and food-tak- o mg-. In the typical Arthropod there is one pair of these appendages on each segment of the body, but as a matter of fact in all the Arthropods some of the segments have lost their appendages. The body is covered with a firm cuticle or outer body-wall called the exoskeleton. This serves to enclose and protect the soft parts of the body and also for attachment of the body muscles. It is composed of cliitin, a horny substance deposited by the cells of the skin. In crabs it is rendered hard and inflexible by an additional deposit of lime. In order to get a better idea of the Arthropods we will take up a typical animal in each class. crustaciBa: crayfish and its ai.i,ie;s. The crayfish, or crawfish, is found in most of the fresh water ponds of the United States. Most species dig bur- rows with little chimneys of mud at the entrance. In dry 1 ZOOLOGY. seasons the crayfish digs down until it reaches a wet place, sometimes twenty-five feet below the surface of the ground. External Structure. — The body is composed of an anterior part, the cephalothorax, and a posterior part, the abdomen. The cephalothorax is covered above and on the sides by the carapace, which is divided by a cervical suture, or groove, into parts corresponding to the head and thorax of other animals. The abdomen is^ composed of seven segments, the last of which is flattened| and called the telson. At the anterior end of the crayfish is a sharp projec- tion of the carapace, the rostrum. On each side of th^ rostrum is a stalked compound eye capable of movemenl in any direction. If a piece of the cornea of the eye bl examined with a microscope it will be found to be made u|i of many little hexagonal facets, each facet being the exl ternal wii?dow of an eye element, or omma tidium. In front of the eyes are two pairs of slender many- jointed append-; ages. The shorter pair, the antennules, are two-branchec and bear in their basal segments small bag-like structures containing fine sand-grains and opening to the exterior bj small slits bordered by a series of fine bristles. The sac!^ are believed to be auditory organs. The longer pair of appendages are the antennae. The joints are covered with fine hair-like appendages in which the sense of smell is supposed to be located. Beneath the basal portion of each antenna is a small opening, the exit of the kidney or green gland. A typical appendage, such as the abdominal append- ages, consists of a basal part, the protopodite, and two terminal segments, an inner one the endopodite, and an outer the exopodite. ZOOLOGY, In the cephalothorax some of the appendages are much modified showing- a loss of one of these parts or the addi- tion of an extra part. The first three pairs of appendages belong to the head and consist of a pair of mandibles and two pairs of maxillae. The mandibles lie next to the mouth opening and are hard and jaw-like and l^ck the exopodite ; the first maxillae are small and also lacks the exopodite ; the second maxillae have a larg-e paddle-like structure which extends back over the gills on each side within the space (branchial chamber) above the gills. It is by means of this paddle-like structure (the scaphog"- natliite)that currents of water are kept up through the gill-chambers. Three pairs of maxillipeds Increasing in size from first to third pair follow the maxulae. They consist of a small incisor-like endopodite and a slender jointed exopodite. Five pairs of walking- leg"S, all except the last bearing- gills on the basal joints, follow the maxill'peds. The first pair of legs bear large pincer-like appendages or chelae which tear the food into bits and put it into the mouth. In the basal segments of the last pair of legs of the male are the genital pores for the exit of the sperm cells. In the female the genital pores are in the basal segments of the next to last pair of legs. The abdominal appendages are called the pleopods or swimmerets. In the male the first and second pairs of pleopods are larger than the oth- ers and specially modified for the purpose of conveying the sperm cells from the openings of the reproductive organs to the eggs as they are laid by the female. In the female the pleopods serve to carry the eggs and the first two pairs are Very small or absent. The last set of abdominal appendages (iiropods) are large and fan-shaped and together with the telson form the tail. It will be noticed f^ ZOOLOGY. that in the successive segments of the crayfish similar parts recur. This serial repetition of parts among- animals is called metamerism. Digestive System. — The mouth leads by a short oesophagus into a large membranous sac, or stomach, sit- uated at the anterior end of the cephalothorax. The interior of the stomach is divided into two portions, an anterior one (the cardiac chamber) and a smaller pos- terior portion (the pyloric chamber). The inner surface of the cardiac portion is supplied with calcareous secretions, the "stomach teeth", which constitute the gastric mill. Food which consists for the most part of any dead organic matter is chewed by these teeth into fine bits and then passed into the pyloric chamber. Here the digestive glands empty their secretions into- the food. A yellow fringe-like structure, the digestive gland, fills most of the region surrounding the stomach. It connects with the alimentary canal by a pair of small tubes, the bile-ducts. From the posterior end of the stomach leads a short thick-walled tube, the smiall intestine, followed by a long straight tube, the large intestine, which opens to the exterior through the anus in the last segment of the body. Circulation and Respiration.— Within the poste- rior part of the cephalothorax close to the dorsal side is a pentagonal sac, the heart, contained within a delicate membrane, the pericardium. If the pericardium be removed, a pair of dorsal, two pairs of lateral, and a pair of ventral openings (ostia) will be found in the walls of the heart. Three blood vessels leading from the anterior end of the heart supply the eyes, antennae,^ stomach and digestive glands, and three from the posterior end supply the remainder of the body. The various arteries running to all parts of the body finally pour out the blood into the ZOOLOGY. body-cavity, where it flows freely in the spaces among the various tissues and org-ans. After the blood has bathed the body tissues it flows to the gills on either side, passing up the outer side of the gill through delicate thin-walled vessels where it is oxygenated. From the gills it flows back on the inner side through a large chamber, sinus, into the pericardium, thence through the ostia into the heart whence it is forced by muscular contraction into the arteries. This kind of a circulation where the blood is not enclosed in definite vessels throughout, is known as an open system. Reproductive System.— In the region of the cepha- lothorax below the heart are located the reprockictive organs. In the male they are whitish glandular masses, the testes, from each of which runs a long convoluted tube, the vas deferens, to the external openings at the base of the last pair of walking-legs. In the female the glandular mass, the ovary, has the same position as the testes; short, straight tubes, oviducts, lead to the external openings of the basal joint of the the third pair of walking- legs. Previous to the laying of the eggs the female rubs off all foreign matter from the abdominal appendages by means of the fifth pair of legs. When the eggs are ready to be laid a sticky secretion passes out of the oviducts and smears the pleopods of the abdomen. The eggs as they pass out are fertilized and caught on the pleopods, where they remain in clusters until they hatch out. Nervous System. — In the extreme anterior portion of the cephalothorax is a double ganglion, the supra- oesophageal ganglion, or brain, which sends out nerves to the antennae, antennules and eyes. From the brain a pair of nerves pass down around the oesophagus and unite below it to form a double chain of ganglia S ZOOLOGY. extending along the median ventral line to the last segment of the body. There is a ganglion for each segment and lateral nerves are given off from each ganglion. OTHER CRUSTACEANS. Most Crustaceans live in water, a few being found in damp soil or in other damp places. Some are fresh water animals and some marine. They vary in size from the tiny water fleas, a sixteenth of an inch long, to crabs two- feet across the shell and sixteen feet from tip to tip of the legs. Some are parasites on other animals, in some cases other Crustaceans. In structural character and body organ- ization the Crustaceans show the general characteristics of the Arthropods already mentioned. They differ from other Arthropods in the possession of gills for respiration and in the bi-ramose condition of the body appendages, each appendage, as a rule, consisting of a single basal segment from which arise two branches made up of one or more segments. Water Fleas (Cyclops).— The water-fleas are com- mon in the water of ponds and slow streams. Though small they may be readily seen with the unaided eye ; they are white, rather elongate, and have a rapid, jerky move- ment. The body is broadest in front and tapers posteriorly ending in two forked stylets. There are two pairs of antennae, a single median eye, mandibles, two pairs of maxillae, and five pairs of legs. There are no gills, the oxygen being absorbed through the surface of the body. The females have attached to the first abdominal segment on each side, an egg-sac. Wood Lice (Isopoda). — These animals are also known as pill bugs, damp bugs, and sow bugs. They are found almost everywhere in moist places, under stones and boards. They live a wholly terrestrial life, ZOOLOGY. feeding- upon decaying vegetable matter. The body is oval and convex above, rather purplish or grayish brown and smooth. Although they do not live in the water they breathe partly at least by means of gills. It is therefore necessary for them to live in a damp atmosphere so that the gill membranes may be kept damp. liObsters, Shrimps and Crabs (Decapoda).— These animals all resemble closely the crayfish in the char- acter and arrangement of the body parts although the shape of the body is different. The lobsters are marine, living on the rocky and sandy bottoms of shallow depths, feeding upon refuse matter. Ivive lobsters are brownish or greenish with blue mottling, but turn red when boiled. The shrimps and prawhs are similar to the lobsters but smaller and like them are used for food. The crabs differ from the lobsters and crayfishes in having the body short and broad instead of elongate. This is due to the special widening of the carapace and the marked shortening of the abdomen. The abdomen, more- over, is permanently bent underneath the body, so that but little of it is visible from the dorsal aspect. The number of abdominal legs or appendages is reduced. The spider-crabs are especially strange looking creat- ures with unusually long and slender legs and a compara- tively short body-trunk. The great spider-crab of Japan, the largest of Crustaceans, ^measures sixteen feet from tip to tip of extended legs. The "soft-shelled" crab is found along the Atlantic coast. It is soft-shelled only at the time of moulting. The little oyster-crabs, often found in shipped oysters, lives with the live oyster in the cavity enclosed by the oyster shell. They are not parasites preying upon the ZOOLOGY. body of the oyster but simply messmates feeding on par- ticles of food brought into the shell by the currents of water created by the oysters. This kind of relation exist- ing between animals is called commensalisin. The hermit crabs have the habit of carrying about with them, as a protective covering into which to withdraw, the spiral shell of some gastropod mollusk. The abdomen of the crab remains always in the cavity of the shell ; the head and thorax and legs project from the opening of the shell, to be withdrawn into it when the animal is alarmed. The abdomen being always in the shell and thus protected, loses the hard body-wall, and is soft, often curiously shaped and twisted to correspond to the cavity of the shell. It has no abdominal appendage except a pair on the hind- most segment modified into hooks for holding fast to the interior of the shell. As the hermit crab grows it takes up its abode in larger and larger shells, sometimes killing and removing piecemeal the original inhabitant. Soine hermit crabs always have attached to the shell certain kinds of sea-anemones. It is believed that both crab and sea- anemone derive advantage from this arrangement. The sea-anemone, which otherwise cannot move, is carried from place to place by the crab and so may get a larger supply of food, while the crab is protected from its enemies, the predaceous fishes, by the stinging threads of the sea- anemone, and also, perhaps, by the concealment of the shell its presence affords. This living together by two kinds of animals to their mutual advantage is called symbiosis. Barnacles. — These are Crustaceans which at first glanc6 are hardly recognizable as such. They live fixed in great numbers on the rocks between tide lines, or on the piles of wharves, bottoms of ships or even on the body 8 ZOOLOGY. wall of whales and other ocean animals. In the stalked forms there is a flexible stem or peduncle covered with a blackish, finely wrinkled skin bearing at its free end the greatly modified body of the barnacle. This body is en- closed in a sort of bivalved shell or carapace formed by a fold of the skin and stiffened by five calcareous plates. Within this curious shell is the compact, rather wormlike body-mass, showing little or no indication of segmentation. The legs, of which there are usually six pairs, are much modified, being long, feathery, and divided nearly to the base. These feathery feet project from the opened shell when the animal is undisturbed, and waving about in the water catch small animals which serve as the baaaacle's food. When disturbed the barnacle withdraws its feet and closes tightly its strong protecting shell. The acorn bar- nacles have no stalk, but look like a low, bluntly-pointed pyramid. This appearance is due to the converging arrangement of six calcareous plates of the body-wall. INS]eCTA: THE I- tl (,; S >- 3 S /; ^ 'ra «J -T -S "S 2 CS bj J3X! j^ 5CS s;?;El^ o ^< to a.g q) 1-1 ° 2 s hr-o <- "1 2 « S o ■^ tBXl rt C c4 (4 V es -.5 2 £"-•«- ^ a -r, o c f^ rt " M 2r M 2 rt -^^ S .- ■« H - ^ « •< < Oi ■< c, jj S .5 ^ rt o-o o a g - j3 "S ay adjourn them to such time as he shall think proper; he shall receive ambassadors and other public m^in- isters ; he shall take care that the laws be faithfully executed^ and shall commission all the officers of the United States. The President sends a messag-e to Congress soon after it assembles in regular session, and special messages when he deems it necessary. It is the purpose of a mes- sage to discuss conditions of interest to Congress and to make recommendations concerning needed legislation. The President does not deliver his message in person. A clerk in each House reads the message to the members. Washington and Adams delivered their messages in per- son ; but Jefferson, because, as he said, this is in imitation of the custom in England, introduced the present practice. Some say he did it because he could write much better than he could speak. Twelve extra sessions of Congress have been called ; one by John Adams, one by Jefferson, two by Madison, one by Van Buren, one by Wm. Henry Harrison, one by Pierce, one by lyincoln, two by Hayes, one by Cleveland and one by McKinley. The Senate has frequently been convened separately. The House of Representatives has never been so convened. Congress has never been adjourned by the President because the two Houses have always agreed upon the time. The duty of receiving representatives of other nations is a very delicate one, as the manner in which this is done may make or break friendly relations. If a foreign ambassador is objectionable the President may insist on his recall. In time of war it is customary for a nation to recall its ambassador from the country with which it is fighting. 16 CIVIIL, GOVERNMENT The duty to "take care that the laws be faithfully executed" is the President's broadest and most important task. Under this injunction he should watch with eagle eye the actions of those under him in the administration of law. Whether a law is, in his opinion, wise or unwise, matters not. It is his duty to see that it is enforced and he may use the army and navy, if necessary, in the en- forcement of law. General Grant said: "If you have a law upon your statute books, enforce it ; if it is objectionable, repeal it." Section IV. The President ^ Vice-President, and all civil officers of the United States, shall be removed from office on im^peachment for, and conviction of, treason, bribery, or other high crimes and misdemeanors. k The term, "civil officers" is not defined by the consti- tution. It doubtless includes all officers commissioned by the President. Members of Congress are not subject to impeachment. ( The student is referred to the discussion of impeach- ment in connection with Article I, Section II, Clause 5, and Article I, Section III, Clause 6.) 17 CIVIIL. GOVERISTMENT OUTLINE QUIZZES. (FOURTH PAPE^R.) 1. Define capitation tax. 2. Why should not duties be levied on exports? 3. What is meant by "Entering" and by ''Clearing" a port? What unjust requirements did Great Britain make in this connection? 4. How are the public funds guarded against improper expenditure? 5. Why are public officials forbidden to accept foreign titles and gifts? 6. What is the general nature of powers forbidden to the States? 7. Why was the executive power vested in one person? 8. What differences of opinion existed among the framers of the constitution as to the term of office of the President? 9. Why was it not decided to elect the President by popular vote? 10. How is the President elected? 11. Outline the twelfth amendment? 12. On what day do voters cast their ballots for elect- ors? On what day do the electors **Give their votes?" 13. What must be the qualifications of a candidate for the presidency? 14. What is the order of succession to the presidency? 15. What salary and other emoluments does the Presi- dent receive? 16. Why is such a large salary necessary? 17. When and before whom does the President take the oath of office? 18. What relation has the President to the army and navy? 19. Name the cabinet offices and officers. 20. In whom is the power to make treaties vested? Ad- vantages of this method? 21. Enumerate the powers and duties of the President. 22. Discuss the appointive power of the President. 23. By whom are inferior officers appointed? 24. How often does the President send a message to Congress? What is the purpose of a message? How is it delivered? t8 DIDACTICS. (FOURTH PAPER. ) ''There is no substitution for thoroughgoing, sincere earnestness." TEACHERS. Teachers are divisible into two classes with reference to permanency in the profession, viz.: those who engage in it as a temporary occupation, as a "make-shift" while preparing themselves for entering upon some other line of employment for their life work, or for the purpose of tiding themselves over some temporary financial embarrassment. This class of individuals should not be considered as per- sons intended to be classed as teachers by the school laws of a State. The second class are those who in the beginning of their business career select teaching as a profession, as others select the practice of law or of medicine, intending to devote their whole time and energy to the work, and to increase their scholastic qualifications as time and experi- ence show their lack of intellectual equipment. Whatever be the reasons which lead them to dedicate themselves to this life of labor, discouragement, lack of appreciation, and paucity of pecuniary emoluments which let their lives be lives of self-denial, certain it is that few consider the high standard which such men and women should set before them when they make their choice, ^specially is this true of the public school work. The true teacher is an educator in a wider sense than is usually given to this term. He is not satisfied with simply being the instrument used in im- parting to his pupils some degree of knowledge of the sub- ject matter of text-books. He himself is a text-book; he is the model upon which is formed the mental and moral DIDACTICS characters of those committed to his care; he is indeed the instrument for drawing out to their most useful extent the faculties of his pupils. He is not only a teacher, but is a missionary as well. Legal Qualifications of Teachers.— In accordance with the powers conferred by the constitution, the State in the exercise of its right to control in all matters pertaining to the general welfare of its citizens, alone determine the question of eligibility to the position of teacher in the public schools. This it does by requiring all teachers, prior to an engagement with a school board, to be the possessor of a certificate from the county superintendent or commissioner, which certificate may be of either the second grade, valid for one year, or of the first grade, valid for two years. This applies to all schools in Illinois, except in cases where a city or town is authorized by special charter to examine and certify its pwn teachers and in the case of teachers who hold State Certificates issued by the State Superintendent. In some of the states, Iowa and Missouri, for instance, third grade certificates are also issued. The state also limits the minimum age at which can- didates may be certified. In Illinois this is fixed at seven- teen years for female, and eighteen years for male teach- ers — ages which are too immature to enable one to acquire the mental endowments, and the knowledge of child nature which are absolutely essential to the proper performance of a teacher's duties. Far better for the schools were such young teachers relegated to the school room as pupils. A few more years in study would enable the embryo teacher to obtain a broader culture, a more thorough knowledge of the branches to be taught and a more mature judgment than is possessed by the great majority of teachers. 2 DIDACTICS In the choice of teachers grave errors are made by the persons to whom is given this authority, the greater num- ber of whom have been elected or appointed without any regard to their possession or non-possession of the quali- fications necessary to those who have such an important duty to perform. One great defect in the selection of teachers is the favoritism shown by the school boards. In- fluence, family, sectarian, social, or official, in its charac- ter should be, but rarely is, barred. The schools should be be thrown open, as the school laws require, to any teacher possessing the necessary qualifications. To be a relative of the most influential member of the board, is often the sole requisite to success. Schools naturally suffer from partiality shown in the choice of teachers as well as from that shown by teachers. IN tH^ SCHOOI, ROOM. It is inferred that the teacher will be the first one to appear upon the scene of duty. Especially should this be the case on the "first day of school." If a stranger to the pupils it will give him an opportunity of greeting, and be- coming partially acquainted with each new-comer indi- vidually. He should also have in his mind a definitely arranged plan, even for his first day's duties. Good first impres- sions upon the minds of the pupils aid much in the future management of a school. Pupils will insensibly form a more favorable idea of a new teacher who appears to know, than of one who is **at sea" from the start. Urrors into which the teacher will naturally fall can be remedied as time passes if he is sin- cere, and does not make the grave mistake of apparently claiming to be infallible. He should remember that his pupils are measuring him by his actions, more than by his DIDACTICS precepts, and they soon detect any falsity or subterfuge upon his part. Comparisons of opinions during- recess, and at home, are rights in which pupils and parents always engage. Programmes. — System and method are as necessary in the school room as elsewhere — if, indeed, not more neces- sary — if the best results are to be obtained. After spend- ing one or two days in making a temporary classification of his pupils — a step unnecessary in a graded system of schools where the work pursued by each pupil is supposed to fit him for promotion to a higher grade — the teacher should arrange a programme of daily recitations. This is absolutely necessary. It should be unclianged as long as it proves adapted to the needs of the school, and its hours should be punctually observed. No temporary change should be made, as is often done by teachers somewhat in- experienced and extremely anxious to give an impression to visitors that all the work of the school is equal to that which they see, when in fact only the classes or the pupils who can "make the finest show" are called in the presence of visitors. The pupils recognize the dishonesty of this course, though the visitor may be strongly impressed with the thoroughness of the teacher's work. Recitations. — The purpose of a recitation is two-fold: First, to examine the class in order to discover what portion of the subject matter is obscure to or unknown by the pupil. Second, to give ,instruction upon those points. There are some teachers of whom it can only be said, in the matter of recitations, that they are excellent "setters" and attentive listeners. They never, or at least rarely, ask'their pupils embarrassing questions on the topic of the day. If the pupil can "repeat the book," that is sufficient. As to whether the pupil understands it, and 4 DIDACTICS knows the subject as well as the words, such a teacher is content to remain blissfully ignorant. It saves him work. The number of recitations will be determined largely by the age, and degree of advancement of the pupils. It must not be forgotten in a mixed school that the youngest pupils learn only what they are personally taught by the teacher, hence, they should have frequent recitations. This is not necessary for older pupils whose age renders them independent of the teacher's aid except in some diffi- cult point. Punctuality in recitations should be strictly observed; the classes should be changed at the hour appointed upon the programme. If this is not done, one class will receive more, and its successor less than its just share of the time and instruction allotted to it. If visitors enter during a recitation do not interrupt it with long continued greet- ings, not even of the majestic Superintendent, but con- tinue with your duty. Visitors come to visit the school* not the teacher. Lectures. — Some teachers are very fond of talking'. They talk "in season and out of season." In their studies pupils learn some things better by their own efforts. They may need a little help over difficulties, but do not enjoy hearing their teacher talking during the whole time in- tended for recitation. Nor is it profitable to spend much of the time in lecturing upon "manners," etc., to the neglect of the other duties equally important. Pupils learn such things better by example than by precept. A teacher should continue to be a student. Knowl- edge is constantly increasing. If a teacher does not con- stantly increase his store of mental furniture, he soon finds himself "out of merchandise." He becomes, in com- parison with his more studious contemporaries, "stricken S DIDACTICS with poverty" of knowledg-e. From this very scantineas, of which heis self-conscious, he becomes timid, and a timid teacher soon loses his hold, not only upon his pupils, biit upon himself as well — Study. The brain has a singular power of furnishing- storage capacity for all knowledge that may appeal for room. Page says, **a teacher should regularly pursue a course of study to replenish his fading stock of knowledge." True now as when Page wrote it. Good schools are made by trained, educated teachers, not by those who think they have acquired enough education as soon as they obtained their first certificate and first school. Partiality is one of those charges brought so frequent- ly against teachers that there may be some foundation- in fact, because he should desire the good will and regard of all his pupils is a sufficient reason, though not the most noble one, why a teacher should treat all his pupils in a strictly impartial manner as pupils. It is perfectly natural that his sympathy, his affections, should be more warm to- wards those of his pupils who show an evident desire to gratify him in their course as pupils, but so much the more careful should he be to treat all under his charge with equal justice, equal kindness, and equal interest in their welfare. He is the teacher of the school, not of individuals especially favored. Outside of school limits he may be free to show his personal regards, but not in it. Methods. — Much unnecessary stress is laid upon "methods" in "Teachers' Institutes," and in some of the text-books of Pedagogy. Page, White, Angell, Scully, and other writers, base their theories in regard to methods up- on their own experience in the Public School, Academy or College. Many teachers fall into the error of thinking that all wisdom is embodied in the works of their favorite DIDACTICS author, and try to adopt their methods of instruction and management, to schools of varied character, and then won- der at their failure. The error is in themselves. A coat cannot be made to fit many persons of different stature. A method which would be successful with a "White," would probably be a failure with a "Brown." I^ach teacher must "invent" and adopt methods of his own, founded upon his knowledg-e of the needs of his school and the character of his pupils. Methods of others may be guides — they can be no more. Some definite method in the manner of hearing recitations and in other functions of a school should be adopted by every teacher. As an army becomes efficient through constant daily drill, so an unchanged -method in doing the same work, day after day, soon renders it a mat- ter of habit, and becomes a discipline of mind in uni- formity of action. Honesty is a requisite in the character of a true teach- er. A teacher is not infg,llible. His popularity with his pupils and patrons must not be purchased at the expense of truth in his dealings with either. It is pleasant to be popular, but self respect and strength of character may exist even when one is under a ban. Children soon detect dishonesty in open act or hidden motive, as they do favorit- ism. Teachers should not attempt to appear wiser than Solomon by making claims to the reputation of a "learned man," when he can show only a superficial knowledge. Better to say open and candidly, "I do not know, but will find out," in answer to some inquiry of a pupil, than to at- tempt concealment of ignorance by an obscure, evasive answer. Rules for the Government of Schools. — Article five, Section twenty-six, Illinois Statutes, declares "it shall be theduty of the Board of Directors of each district, to adopt 7 DIDACTICS and enforce all necessary rules and regulations for the man- agement and government of the schools. "The same authori- ty is granted to Boards of Education. So far as it affects the majority of Boards of Directors, this section of the School I^aw is virtually of no effect. In but few school districts are the rules for government of the schools submitted to the Board for their adoption or rejection, and seldom, except in the larger towns and cities, do such rules emanate directly from the Board of Education. The compiling of a code of rules is left to the teacher, and consequently in a school employing more than one teacher, there may be in vogue as many different systems as there are schools, none of which has any legal effect or value, except by implication. What Rules, how many to be adopted by the teacher, are important questions. In general terms it may be said, the fewer rules the better the school. A multiplicity of laws do not prevent the commission of crimes, nor will a long array of rules prevent pupils from violating the rights of their fellows. Discipline.— The exercise of authority is, of course, a necessary requisite to the progress of the pupils education- ally, as well as for the purpose of training them to obedi- ence to law as citizens. Do not, then, prepare for the guid- ance and government of your pupils a long list of rules. A very few enforced, will be far more valuable than many which are allowed to become dead letters. "Do what is right; avoid what you know is wrong," is a good school rule. It leaves the teacher some freedom in decision be- sides appealing to the highest motives in the pupil. Punishments.— There is, and of necessity, must be a wide diversity of opinion in regard to this branch of the pedagogic office. L7—5y (5) from 2 Hence, ;f=37— 5^ (6) 3 23— 3jj/ 37— S^/ ( 7 ) from 4 and 6 Comparing, — t^ — = — ^ — Clearing of fraction, 69— 9;/=74— 10y....(8) transpose, y=5 Find X in same manner. 2. 4x—2y=l2 (1) 4y—2x=24 (2) Required x and y, Zx 3. -j-+y=ie (1) x+^=l5y2 (2) Find X and y . 4. 4x^2y= 52 (1) 2x—3y——22 (2) Ans. a;=7, jj'=12. Solve the above also by addition or subtraction. 5. 5s—3v-\-2w=2S ( 1 ) 35+2z/-4ze/=l5 (2) Zv-\-Aw—s=2A (3) 6. 2z+Sy—2x=4 ( 1 ) Az—Zy-\-2x=9 (2) Sz-\-ey—2x=lS (3 ) 12 ALGEBRA. 7. 2z-{-4y—3:v=22 ( 1 ) 4z—2y+5^=18 (2) 6z-\-7y — ;r=63 (3) Ans. ;r==4, y=7t z=3, 8. 3;r— 5jj/+72'=58 (1) 2y-{-Az—x=60 (2) 7z—2>x—6y=0 (3) Ans. x=S, y=\0, z—\2. 2>x Sy 6z y—x+z=l& (2) V X z 4"'~'3+6~^ ^^^ ^^^' ^=9, jj/=12, 2'=1S 10. 2x+3y-^4z=3 (1) 7x-\-9yi-14z=10... (2) ^ X -^-\-6y-{-3z=3 (3) Ans. x=}4, y—Vi, z—%. 11. x^3y—3z=6 (1) 5y—17x-{-4z=:73 ( 2 ) 16:ir—4>/-i- 17^=83 (3) Ans. xz=0, y=% z=7. CASE 3.— Sy substitution. Kule. — Find the value of an unknown quantity in an equation and substitute it for the same quantity in another, then reduce. 1. Find ;r and j)/: 4x-]-2y—52 (1) 2x-\-Zy=38 (2) Model solution: 4^+2j=S2 (1) 2^+3^=38 (2) 4;ir=52— 2^^ .(3, from 1) Hence, x= S3-—2y (4) 4 52—2y -\-3y=38 (5) Substituting in (2) 2 13 ALGEBRA. "^FraJftL^s! } 52-2^+6^=76 (6) Transposing, — 2j|/+6jj/=76— 52 (7) Combining-. 4j)/=24 (8) Hence, y= 6 Ans. substitute in (1) and 4;tr+12=S^ (9) Transposing, 4;ir =52 —12=40 (10) Reducing-, X = 10 Ans. (11) prove in (2) 20 -}-18 = ? 2. 4^— 2:v=12 (1) Ay —2x=lA (2) Ans. ;ir=8, j)/=10. 3. 5:r— 3j/=10 (1) Sy —Zx—2^ (2) Ans. ^=8,^=10. 4. 4^+8^= 4 (1) 9^ — 4jj/ = 2 (2) Ans. x= ^jw, y= '^/^z 5. 2;ir2_^3>' =300 (1) ic2— j^=140 (2) Ans. ic=12, j=4. 6. 2x -\-2>y-\-Az— 61 (1) 2x — y-\-Zz= 27 (2) X +4ji/— 2"= — 26 (3) Find X and J/. 7. a; -{- y-\- v-\- z—U (1) 2x -\-3v—2z=z 6 (2) — ic— 2y +42'=12 (3) 3x-\-Ay—2v =10 (4) Find values of each letter. Solve the above by the other two methods also. 1. A vessel has 3 taps. The first alone can empty it in 1}4 hours; the second in 2 hours; the third in 2)4 hours. If all flow at the same time, in what time can they empty the vessel? Ans. |f hours. 2. A farmer bought 160 acres of land for $6,800, pay- ing $40 per acre for part, and $50 per acre for the balance. How many acres did he buy at these prices. Ans. 120 acres at $40, and 40 acres at $50. 14 ALGEBRA. 3. A number is composed of two digits, whose sum in- creased by 9 equals 18. If the second be taken from twice the first the remainder will be zero. What is the number? Ans. 36. I^et a; =the number of tens. I^et y=th.e number of units. 10 a;-|-jj/=required number. x-^y-\- 9=18 (1) first condition. 2x — jj/= (2) second condition. x-\-y=zl8— 9=9 (3) Add. 2x—y= (2) 3a; =9 (4) Divide, cc = 3 (5) Substitute in (2) 6 — jj/= (6) Transpose. * 6 =:y (7) Substitute values in third statement: 10x-\-y=z30-\-6=26. Answer. 4. A number is composed of two digits. The value of the digits in the ten's place is one-half of that in the unit's place. The sum of the digits is 12. What is the number? Answer 48. 5. A number is composed of three digits. The ratio of the first to the third is 1 to 4. The value of the second digit equals twice the value of the first. The sum of the digits is 14. Find the number. Answer 248. 6. Two persons own n dollars worth of property. The first owns a times as much as the second. How much does each own? ^ an n Ans. First "ttt dollars. Second — tt dollars. 7. Divide a dollars among three persons, so that the first shall be h times as much as the second, and second c times as much as the third. ^ ahc ' ac Ans. First iqi^q:^^. Second jq:^^. Third q:^:^-^ dollars. IS ALOEBBA. 8. Find two numbers, such that one-half the jRrst ad- ded to one-third the second will equal five; and the differ- ence between three-fourths the first and two-ninths the second will equal one. Ans. x=4, jj/=9. 9. Find two numbers whose difference is 11 and whose sum is 25. Ans. 18 and 7. 10. Two men, C and D, own together 240 acres of land. If C sell D 70 acres each will have the same number of acres. How much land has each? Ans. C 190 acres, D SO acres. 11. If 1 be added to the numerator of a fraction its value is unity; and if 2 be subtracted from the denomi- nator its value is IX • What is the fraction? Ans. f. 12. Find two numbers such that one-half the greater added to one-third the less is 8; and if two-thirds the less be subtracted from four-fifths the greater the remainder is 2. 13. The difference between the ages of two men is 17 years; eight years ago the elder was twice as old as the younger. How old is each? 14. A house and lot cost $9,500, and the cost of the lot was -^ the cost of the house. Find the cost of each. 15. A and B have together $51,000. A invests one- fourth of his share in business, and B donates one-third of his share to an educational institution, and each has then the same sum remaining. What sum had each at first? 16. Find two numbers whose difference is 16, and the quotient of the greater divided by the less is 5. 17. The sum of two numbers is a, and the greater is n times the less. What are the numbers? an - ^ Ans. : r v and n-\-l n-^V 16 ALGEBRA. 18. I bought apples at 2 cents and oranges at 3 cents each, and spent $3.00. If I had bought as many apples as oranges, and as many oranges as apples, I would have spent 13.50. How many of each did I purchase? 19. A huckster bought some apples at 15 cents per dozen and some at 20 cents per dozen, paying $2.00 for the whole. He retailed them at 3 for 5 cents and gained $1.45. How many of each kind did he buy? 20. If A gave B $100 he would have as much money as B had at first. If B gave A $100 he would have half as much as A then has. How much has each? INVOI.UTION. Involution is the process of finding any given power of a quantity. ^ The sign of Involution is the Exponent. The Power is the product obtained from using the Quantity as many times as is indicated by the Exponent. Thus, 16=4X4, = second power of 4. The name of a Power is determined by the number of times the quantity is used as a factor. Hence, involution is a brief method of multiplying equal factors. Principles. — (1) All powers of a positive quantity are positive. (2) Even powers of a negative quantity are Positive and odd powers Negative. (3) The Exponent of any power of a Quantity is equal to the Exponent of the quantity multiplied by the Ex- ponent of the Power. Thus, (2x^)3=8x12^6. Rule.— Raise the Numeral Coefiacient, if there is any, to the power indicated by the sign. Annex each literal, factor, multiplying its exponent by the sign of the power, and prefix the proper sign. 17 { ALGEBRA. EXAMPI^ES. Find the values of 1. (4a;2y)3; (2x3^)4. Model solution: 1. First part: {4x^ y^)9=4K y^K y^^^=64x^y^ Second part: ( 2X3 y2 )4=24.X3^4 jj/2x4^16a;12 y . 2. (-3a3^3)4. (_2a2,^3)6. 3. (2a2^3^3)5; (_2a2^3^8)5. 4. {— 4^2x4^)4; (4a2a;4jj/2)4. , f^^i^V. / 3x3y^. . ^' V3a3^2; , V la'^bU^d) ' ^' V5^3273/ ' V Sxn 62 / • 2ii a3tt dtt c^ 2tt amS ^mn Ans. 5ti flra ^211 ^Sn » 3m a;am ^2m' 6 6»>i 7. Find the ??2th power of -r. Ans. r^. 8. Find the «th power of -^^. Ans. ^„ ^^^^ . 9. Find the «th power of (a4-6)2. Ans. {a-^d)^a , 10. Find the wth power of {x — z)^ . Ans. {x — z)^*^ . THE BINOMIAI, THEOREM. This is a method of raising Binomial quantities to any power, however high, without performing the manifold multiplications which would otherwise be necessary. Thorough practice upon this Theorem is advised. The analysis of the expansions of (x+j)"* and {x—y)^, whose values are respectively: x^+5x^y+10x^ y +10x2 j/3+Sxy +j/^ and x^ — Sx4jj/+10x3_j/2 — 10x2 jj/3_|_5ay,4__y5, Andwill develop" the following: Principles. — (1) The number of terms in the Power is numerically one more than the IJxponent sign (index) of the Power. 18 ALGEBRA. (2) Both letters are found in all the terms except the first and last. ( 3 ) The Exponents of the first and last terms is the same as the Exponent of the Power, (4) The Exponent of the first letter decreases, and that of the following letter increases by 1 from left to right (5) The Coefficients of the first and last terms is 1. The Coefficient of the second term is equal to the Ex- ponent of the Power. (6) The Coefficient of any term multiplied by the Ex- ponent of its leading letter and the product divided by tha number, from the left, of that term, will produce the Coefficient of the next term. (7) If both terms of a Binomial are P^itive, the signs of all the terms will be positive. (8) If the second term is Negative, all the odd terms from the left will be Positive, and all the even terms will be Negative. The application of this Theorem is not confined to Binomials, but by using substitute terms, it may be ap- plied to other Polynomials. Thus: Expand {a-\-d-{-c-\-d)*. Substitute x for {a-\-d), and jj/ for {c-\-d), and we then have (x-{-y)^—x'^-\-4x^ y-{-6x^ y^-{-4xy^-\-yK For these terms re- store {a-{-d) for X, and {c-\-d) for j/, and the result would be {a+dy-\-A {a-\-d)^ {c-^d)-\-6 (a-\-d)^ (^+0^)2+4 (a+d) Cc-\-dy-\- (^c-\-dy. This can be still further reduced by expanding the terms in parenthesis. ExAMPlvES. Expand: 1. (a+dY; {a^by. 2. (x+l)3; (x--l)3. 3. (1+^)4; {1-by. 4. {b+lcY; (b-'lcy, 19 ALGEBRA. 5. (3a+2<^)4; (Za—2by. 6. (3a;— 3j|/)«; {Zx\-2>y)^, 7. (x—y~\-ay; {x-\-y—a)^. 8. {a-\-b-{-c—dy', {a—b^-c+dy, 9. (a+d)— (^— 0^)3; {a-b-\-c—dy. "• (2+3)' (2-3)- Ans. to last, -g — "lf'+~6~ — ^27* a; 3 a;2jj, ^y^s ^3 EVOI^UTION. Evolution is the process of extracting- any required root of a given quantity. The root required is indicated by the Radical Sign \/ . The square root has no index in the sign; any other root is indicated by an index placed within the sign. Thus, ^, signijB.es the third or cube root. The root may also be indicated by a fractional exponent, the denominator of which shows the root to be extracted, and the numerator the power of the quantity. Thus, (16a )V4 signifies the fourth root of the square or second 4/ power of 16a, or 1/ 256a^ Principles.— (1) An odd root of a quantity has the same sign as the quantity. (2) An even root of a Positive Quantity is either Positive or Negative. It will have the double sign, ± . (3) An indicated even root of a Negative quantity is imaginary. (There can be no even root of a negative quantity, for the square of -\-a is+^'> and the square of — a is 4-^2; hence, -[/ — a^ is neither {-\-a nor — a). Rule. — Extract the required root of the Numeral Co- e fificient, if there be any; divide the Exponent of each let er b y the index of the root, and prefix the proper sig"n. 20 ALGEBRA. EXAMPI,ES. Reduce the following Radicals to their simplest form: 1. i/a^ ^49a^*c\ Model solution: l/49a2/^V« = i/49X ]/a^l>*c^. 1/49=7 i/a^¥^=ad^c^ obtained by dividing the Ex- ponents 2, 4, 6, of the letters by 2, the index (2) of the root. Hence the root of the quantity is 7a^ c^. 2. t/Sad^cK Answer. 2^ g/a^. 3. i/l6a;>8. ^t4a^^d», 4- 1/ — 160:2 y4. l/—e4a^d». Ans. 4x^1/=!. 4a*2^^ S. (81a<^2)^. (— 27a«^9)J^. ^ The root of a fractional quantity is found by extracting the required root of the numerator and denominator sep- arately. Thus: l/^, Ans. ±-5^. J/— 64a9/^6 9. (— 125a8/^«^»)H. (144a,. jf2^}>^ 21 OUTLINE QUIZZES. FOURTH PAPER. 1. What is an equation? An equation of the first de- gree? 2. What is a quadratic equation? What is meant by "transforming an equation?" 3. How would you clear an equation of fractions? a;-f9 Sx 2a; + 8 4. Clear of fractions — 4" +"5" — 4— — ^ — • 2a;— 7 Sx— 6 ^ ^, 5. Clear — 3 — — — 4 — = —4 6/7. 6. What is transposition? Why is transposition ever necessary? 7. How find the value of an unknown quantity in a simple equation? How prove its correctness. 8. When there are three unknown terms what is the least number of equations there may be? 9. What is elimination? Its purpose? 10. What is substitution? 11. Find, by substitution, the values of the unknown quantities in the following: 1. 3x-\-2y=U (1). Sx—3y=29 (2). 2. 2x-{-y-\-2z=40 (1). x—2y—2z——24 (2). —Sx+4y—z= — 9 (3). 12. A number is composed of three digits whose sum is 9. The first digit is three-fourths of the third, if 99 be ad- ded to the number the order of digits will be reversed. What is the number? 13. What is Involution? Of what is it a brief mode? 14. What is the diff'erence between index and power? 15. How raise a monomial to a required power? 16. What is meant by the **Binomial Theorem?" 17. How determine the number of terms in the power of a Binomial? 18. How determine the signs of the terms? 19. How find the coefiicient of any term after the second? 20. Expand (2*— 3j|/)«. Expand (a^— 1)7. 22 FIRST GRADE-NUMBER FIVE. Teachers' Home Series ,-^^^-fi'j'i I. B. McKENNA. H. A.. II. D.. President and Dirootov. Quincy School of Correspondence^ Quincy, Illinois. COPYRIGHT QUINCY BUSINESS COLLEGE- 1902. BOTANY. (fifth papier.) mui,tipi,icati0n of pi, ants. Vegetative Multiplication.— Among the very low- est plants no special organs of reproduction are developed, new individuals being produced merely by a breaking up of the parent body. liven in higher plants which have special reproductive organs, this method obtains. For in- stance, pieces of Begonia leaves may be used to start new plants ; slips from house plants may be planted and new individuals produced. This is vegetative reproduction. Nurserymen make use of such methods to a very large extent in propagating trees, vines, etc., etc. Any healthy twig bearing one or more buds (scion) may be cut from the parent stem and inserted and fastened by means of wax in the split end of a closely related species. Union will take place between the parts and the new will become a part of the old. This is called grafting. If the scion is placed in. the ground to strike root it is called a slip or cutting. In nature living branches often snap off and are carried by wind or water and, if deposited in a suitable place, take root and spring into new individuals. This is especially true of willows and cottonwoods. The common Bladderwort, a floating water plant, breaks up into parts and each part drifts by itself, a new individual. I^eaves of lake-cress have been known to break off and drop into the mud or water and after drifting for a while strike root. Many water plants produce fleshy buds which float or sink to the bottom and after passing the winter in the mud expand, rise, and float again and produce new individuals, 3 BOTANY. The black raspberry often bends its stems down so that their tips touch the ground and take root, and from these parts new stems spring up. Such stems are called stolons or layers. A short stolon is sometimes called an offset. Oaks, ashes, poplars, willows, elms, locusts, milk- weeds, thistles and many other plants send up aerial stems, or suckers, from underground stems. These stems develop roots of their own and when the underground stems connecting them with the parent plant die they be- come independent individuals. Some plants like the strawberry and some kinds of buttercups send out long leafless stems (runners) which^ creep along the ground and eventually strike root at the tips and develop a bunch of leaves. If the connecting runners die or are cut new individuals result. The com- mon witchgrass sends extensive subterranean stems (creepers) in every direction, rooting and sprouting at every joint, so that in a short time a single individual can spread over a large area. The common potato develops in the ground enlarged stems or tubers which by the dying off of the connecting parts at the end of the season become entirely separate. Next season each tuber sends up a number of sprouts pro- ducing thus as many new individuals as there are tubers. Spore Reproduction. — Most plants develop special reproductive bodies' called spores, which germinate and produce new individuals. This is called spore repro- duction. There are two kinds of spores, one kind formed by the dividing of certain organs in the parent; the other by the union of two special bodies of the parent. The first kind may be called simply spores, and the second kind egg-spores, or oospores. The two special bodies which unite to form an egg-spore are called gametes. In most of 4 BOTANY. the lower forms of plants like the algae, both spores and eggs are conspicuous. In the mosses and ferns the spores are prominent and abundant but the egg is concealed; in seed-plants certain spores (pollen grains) are conspicuous but the eggs are concealed in the embryo sacs within the ovules. Seeds are neither spores nor egg-spores, but peculiar reproductive bodies produced by the development of the egg-spores into an embryo plant. In order to get a good idea of spore-reproduction we will begin with the lowest and simplest forms of plants and proceed to the higher and more complex forms. By so doing we will also get a good idea of the classification of the plant kingdom and characteristics of the main divisions. The plant kingdom may be divided into four great groups. (1) Thallopbytes. — This term means "thallus plants ," and includes many of the simplest forms of plants known as Algse and Fungi, the former represented by the green thread-like growths in fresh water and the sea-weeds, the latter by the moulds, mushrooms, rust, etc. (2) Bryophytes.— The "moss plants" include the common mosses, and the liverworts, common in our green houses, where they are known as "Iceland mosses." ( 3 ) Pteridophytes.— This term means "fern plants," but the group includes, besides the ferns, the "horse-tails" or "scouring rushes," and the "club-mosses." (4) Sperniatophytes.— This means "seed plants" and includes the cone-bearing plants, endogens and exo- gens, in fact all the plants commonly known as "flower- ing plants." Formerly the seed-bearing plants were known as phanerogamia ( f an'-e-ro-ga'-mi-a) from two Greek words meaning "visible" and "marriage," that is, having visible flowers with stamens and pistils. The other three groups were known as cryptoganiia ( krip'-to-ga'-mi-a ) 5 BOTANY. meaning * 'concealed marriage", that is, without visible flowers. THAI,I,OPHYTES. The Thallophytes occur everywhere and are of special interest because they include the simplest forms of plants. The word "thallus" refers to the nutritive body of the plant. It is composed of cells of various shapes but not elaborated into complex tissues. There is no epidermis, stomata or fibrovascular system developed nor is there any differentiation into leaves, stems and roots, although certain marine forms are differentiated into regions resem- bling these structures. The thallus body is not a distinc- tive mark of this group for some of the Bryophytes have thallus bodies. The Bryophytes, which have thallus bodies, however, are easily distinguished from the Thallophytes by the fact that their reproductive organs are much more complex. The Thallophytes are separated into two great divis- ions, the Algse, which contain chlorophyll, and the Fungi, which do not. The presence of chlorophyll means that the plant can make its own food, — can live independent of other plants. The algse, therefore, are independent Thallo- phytes. The Fungi, on the other hand, contain no chloro- phyll, cannot make their own food, and hence must obtain it already manufactured from other plants and animals. Algae. — There are four subdivisions of the Algag, as follows: (1) Cyanophyceae, or "Blue-green Algae"; (2) Chloropliycese, or "Green Algas"; (3) Phseo- phycese, or "Brown Algae"; and (4) Rhodopliycese, or "Red Algae." The plant body may consist of a single cell, a string of cells or thread, a flat plate of cells, or a mass of cells. The plant body reproduces itself either by cell division or by spores. BOTAISY. Spores are formed in two ways,— asexiially and sex- ually. The two kinds of spores are alike in their power to produce a new individual but unlike in origin. The asexual spores are formed by the subdivision of a special cell (mother cell) into a variable number of new cells or spores. If the mother cell is different from the other cells of the plant body it is called a sporangium, or "spore vessel." The sporangium usually opens and lets the spores escape. Among the Algse the asexual spores are provided with minute hair-like processes or cilia, so that they can swim through the water. These swimming asexual spores are often called swarm spores, or zoo - spores. Sexual spores are formed by the fusion of two cells. The act of fusing is called the sexual process, and the two special cells which fuse are known as gametes. The gametes are not spores and have not the power of produc- ing new individuals, but the sexual spore formed by their union has this power. In some of the Algae the gametes are alike. Spirogyra, for instance, consists of strings of cells, all exactly alike. During the growing season, the plant reproduces by vege- tative multiplication, but as winter approaches, the threads which lie alongside each other begin to unite, cell by cellj Adjacent cells send out little projections toward each other. These fuse and form a communicating tube through which the protoplasm of one cell flows into the other cell and unites with its contents to form a rounded thick-walled zygospore, or "yoke spore." The process of union is called conjugation, and plants having this method of reproduction are often called Conjugates or Zygopliytes. In other Algae the gametes are very unlike. Vauch- eria, for instance, consists of green branching threads, 7 BOTANY. not divided into cells by cross partitions. As winter ap- proaches these threads send out little branches of two kinds. One, the oog'oniuiu, is an oval-shaped body sepa- rated from the main thread by a partition. The enclosed protoplasm is called an oosphere, or egg. The other, the antberidium, is a slender recurved body, with the end separated from the basal portion by a partition. The contents of the end cell break up into numerous tiny bod- ies, spermatozoids, with hair-like lashes for swimming. The spermatozoids escape into the water and swim about for a while and soon find their way to the oogonia, enter and fuse with the oospere and produce an oospore or **egg spore." The act of fusing is called fertilization. Thall- ophytes having this kind of reproduction are called Oophytes. The groups Zygophytes and Oophytes include mem- bers of both the Algal and Fungal divisions. Fungi. — The classification of the Fungi is in a state of confusion on account of lack of knowledge. Four pretty well defined groups have been made out. They are (1) Phycomycetes, or "Alga-Fungi," (2) Asconiycetes, or "Ascus-Fungi," (3) Aecidiomycetes, or "Aecidium- Fungi," (4) Basidiomycetes, or "Basidium-Fungi." The Phycomycetes include the * 'water-moulds" (Sap- rolegnia) growing upon dead animals and plants in the water, the common moulds (Mucor) growing upon decayed animal and vegetable matter, and the * 'downy mildews" (Peronospora) parasitic upon seed plants as hosts. In this group asexual spores are produced in sporangia by the enlargement of special end cells and the breaking up of the protoplasm within into tiny spores, ciliated in the ''water-moulds," and light and suitab;le to be wind-borne 8 BOTAl^Y. in the common moulds and mildews. Sexual spores are also produced by means of oog-onia and antheridia in the "water-moulds" and the "downy mildews" and by a pro- cess of conjugation in Mucor. The Ascomycetes include the common mildews para- sitic upon many seed plants, the common blue mould ( Pen- icillium) found on bread, fruit, etc.; the truffle-fungi, upon whose subterranean mycelia, the fruiting portions, "truffles," are formed; the black-fungi, which form the diseases known as "black-knot" of the plum and cherry, the "ergot" of rye, and many black wart-like growths, upon the bark of trees; "peach curl," cup-fungi and the edible morels. The mildews and Penicillium produce asexual spores (conidia) in strings upon brai|phing aerial hyphae. By some obscure sexual process the mildews pro- duce minute spherical ascocarps, containing several little sacs (asci) each one of which contain a number of spores ( ascospores.) In the cup fungi the ascocarp is like a cup or disc which holds the asci on the inner side. In the morels the ascocarp is a large pear-shaped body elevated on a short stalk and having a reticulated surface the depres- sions of which are lined with asci containing ascospores. Aecidiomycetes.— To this class belong the "rusts" and "smuts." Many of the rusts have a very complicated life history producing several different kinds of asexual spores. The wheat rust is best known. It produces a mycelium within the stem of the wheat and during the summer sends out sporophores which burst through the epidermis and develop small one-celled brownish spores which give to the wheat the streaked, rusty appearance. These spores are called the uredospores, or suininer spores. In the autumn this same mycelium develops on the stubble elongated, two-celled, thick-walled black spores BOTANY. called teleutospores or "winter-spores." In the spring- following-, these winterspores germinate and produce little rounded spores (sporidia) which, if tliey fall upon a bar- berry leaf develop a mycelium within the leaf. This myceliCim produces strings of conidia massed together in a cup (cluster-cup, or aecidium) immersed in the tis- sues of the leaf and opening on the under surface of the leaf. These conidia or aecidiospores, again develop a mycelium on the wheat. If there is no barberry at hand the cluster-cup stage may be omitted, the sporidia devel- oping a mycelium in the wheat directly. The "smuts" are common on cereals producing in the heads of oats, barley, wheat and corn the disease called smut. Basidiomycetes. — To this group belong all the mushrooms, toadstools and puffballs. These are not para- sitic like the members of the preceding group but live upon decayed animal and vegetable matter, which they absorb by an elaborate system of mycelial threads. In the typical mushrooms there is a stalk-like portion, or stipe, support- ing an expanded umbrella-shaped top, or pileus. From the under surface of the pileus there hang thin radiating plates (gills). Each gill is a mass of interwoven threads or hyphae whose tips turn toward the surface and form a compact layer of end cells. These end cells, forming the surface of the gill are club-shaped and are called basidia. From the broad end of each basidium two or four delicate branches arise, each bearing a minute spore. These spores are called basidiospores, and when ripe shower down from the gills, germinate, and produce new mycelia. The "pore-fungi" have pore-like depressions instead of gills, as in the common bracket-fungus (PolyporuS) form- ing hard ear-like growths on tree trunks and stumps. 10 BOTANY. The pufPballs produce globular bodies within which the spores develop and are liberated when ripe. Licliens. — A very interesting- thallophyte is the lichen which forms various colored splotches on the tree trunks generally of a greenish-gray. They are not single plants but consist of a fungus and an alga living together so intimately as to appear like a single plant. This habit of living together is called symbiosis. It is thought that the two individuals are mutually helpful, the alga manufactur- ing food for the fungus and the fungus providing protec- tion, and water containing food materials. At certain times cup-shaped bodies (apotliecia) with brown or black lining, occur on the surface of the lichen. This lining consists of delicate sacs fitted with spores. The sacs are asci and the apothecia are ascocarps, so that the lichen should probably be classified as an ascomycete. BRYOPIIYTES. The Bryophytes include the "true mosses" and the "hepatic mosses", or "liverworts." In most of the hepatic mosses the plant body is either a true thallus or is a thal- loid structure; in the true mosses, however, and some of the hepatic mosses, there is a differentiation into stem and leaf. No true roots are found but in place of them there are structures resembling root-hairs, called rhizoids^ con- sisting of single cells or rows of cells. These are attached to the under surface of the thallus, or to the side of the stem, and serve to support and fix the plant, as well as to absorb nutritious substances for its sustenance. The tissues are much more highly developed than in the preceding divisions; the epidermis is in many cases well defined and true stomata are found. The greater part of the plant body is in most cases composed of a well-developed paren- chyma composed of thin-walled cells which are compacted 11 BOTANY. into a true tissue. There is also, a slight indication of the development of the fibro-vascular system in the elongated bundles of cells which occur in the leaf veins and the axial portions of the stems of some species. The life history of a common moss is complicated and interesting. Starting with the asexual spore we find, if it has fallen in a favorable location, that by germinating it produces a branching filamentous growth (protonema) resembling some of the Green Algae. It is prostrate and does not resemble the ordinary moss plant at all. Soon it develops buds which lengthen into erect leafy stalks. These are the ordinary leafy moss plants. At the top of these stalks are produced the sexual organs. One stalk produces small flask-shaped archegonia, composed of many cells and containing within the swollen base (venter) a single large cell {egg). Another stalk produces small club- shaped organs (antheridia), filled with minute ciliated bodies (spermatozoids). When the ripe antheridium be- comes wet it bursts and the spermatozoids escape, swim around actively in the moisture, and some of them find their way to the archegonia. Wintering the neck of an archegonium they make their way to the egg in the venter, fuse with it and produce an oospore. The oospore, instead of remaining in a resting state, like the oospore of Vancheria, germinates immediately. The lower portion pushes into the top of the stalk and absorbs nourishment from the moss plant. The upper part pushes its way up- ward inside the archegonium and finally tears the arche- gonium away from the top of the stalk and bears it aloft as the calyptra until it becomes dried up and falls off. Finally a rounded receptacle (capsule) is developed, sup- ported on a slender stem ( seta) which is continuous with the part which has penetrated into the top of the moss 12 BOTANY, plant (the foot). The capsule becomes filled with asexual spores and little spiral bodies (elaters) which twist about when they become wet or dry and push out the spores. The top of the capsule is covered with a little lid ( oper- culum) which falls off at maturity, exposing rows of teeth (peristome) surrounding the opening and bending inward when moist, so as to retain the spores, and stand- ing erect when dry, thus allowing the spores to escape. To sum up: (1) the asexual spore produces the protonema ; (2) the protonema produces the leafy "moss plants," or gametophores ; ( 3) the gametophores develop at their summits the gametes (spermatozoids in antheridia, and eggs in archegonia); (4) the gametes unite to form an oospore ; { 5) the oospore develops into a sporbgonium, consisting of foot, seta -and capsule, the capsule being filled with asexual spores. The L/iverworts, of which Marchantia is a good repre- sentative, consist of prostrate, green, ribbon-like plant- bodies which develop leafless gametophores of two kinds, one bearing archegonia and the other antheridia. In Mar- chantia the archegonia are suspended from the under sides of umbrella-like receptacles, and the antheridia are im- mersed in the upper surfaces of stalked disc-like recep- tacles. Spermatozoids from the antheridia fertilize the eggs in the archegonia and produce oospores which imme- diately develop into bell-shaped sporogonia hanging from the under side of the archegonial receptacles. In the sporogonia are sexual spores and elaters similar to those of true mosses. In many of the I^iverworts little cup- shaped organs (cupules) appear on the upper surfaces of the plant-body and develop within themselves little short- stalked green buds or gemmae, which, when they fall on a moist surface, grow into a new thallus. 13 BOTANY. pteridophytes. In the Pteridophytes we get true roots and well devel- oped tissues. The epidermis is well marked and contains stomata very similar to those of the highest group, the Spermatophytes. In many cases trichomes or hairs are present. Fibrovascular bundles are strongly developed but they are different from those of Undogens and Exogens inthatthexylem, or tracheary tissue, is in the center of the bundle and completely surrounded by phloem, or sieve tissue. This kind of a bundle is often called a concentric bundle to distinguish it from the collateral bundles of the seed plants. In the Thallophy tes and Bryophy tes there are no vessels or ducts for carrying the sap elaborated in one part to other parts of the plant, but in the Pteridophytes we find these vessels for the first time. As the Spermatophytes have them also these two sub-kingdoms are often grouped together under the head of "vascular plants," while the Thallophytes and Bryophytes are called "non-vascular plants." As the fern is the best and commonest representative of this group we can get a good idea of the characteristics of the group by studying its life history. An asexual spore under favorable conditions produces a small, flat heart- shaped thallus (prothallium) similar to the thallus of a lyiverwort. This develops on its under surface several antheridia and archegonia. Spermatozoids from the anthe- ridia fertilize the eggs at the bottom of the archegonia and form oospores. One of these oospores immediately develops an upright stem with one leaf and this soon grows into the ordinary leafy frond of the fern with a subterranean stem sending roots down into the soil and numerous fern leaves upward. Some of the fern fronds soon begin to develop 14 BOTAISTY. little greenish brown spots (sori). In the common Aspi- dium each sorus consists of an umbrella-shaped or shield- shaped indusium covering- over a number of peculiar sporangia. Kach sporangium consists of an oval body supported on a stalk and having a conspicuous row of heavy- walled cells extending over the top and down the back. This row of cells is called the annulus, and acts like a bent spring. When the sporangium is ripe the tender cells on the side not covered by the annulus split apart and the annulus straightens slowly, then suddenly springs back to its original position thereby throwing the spores with con- siderable force. Variations in the amount of moisture cause the annulus to recoil again and again so that the spores are sure to be all discharged from the sporangium. These spores are the asexual spores. To sum up the life history: (1) an asexual spore pro- duces a gametophyte in the shape of a flat, heart-shaped prothallium; (2) the prothallium develops gametes ( sperma- tozoids in antheridia,and eggs in archegonia); ( 3 ) an oospore is produced by the union of a spermatosjoid with an egg ; (4) the oospore develops the leafy frond or sporopliyll (spore-leaf) which is the foliacous part of the common fern ; (5) the sporophyll produces sori consisting of groups of sporangia filled with asexual spores. In the maiden-hair fern (Adiantum) and the common brake (Pteris) there is no indusium but the sori are pro- tected by the inrolled margins of the leaves. In some kinds of ferns there are two kinds of fronds, some which produce only sporangia and have no chlorophyll and some which produce no sporangia but have only chlorophyll work to do. Such ferns are the ostrich fern and the sen- sitive fern (different species of Onoclea), the moon wort ( Botrychium) and the adder tongue (Ophioglossum). In 15 BOTANY. Osmunda certain branches (sporophyll branches) of the frond are set aside to produce sporang-ia while the rest of the frond does chlorophyll work. In most ferns the asexual spores are all alike and when they germinate they produce prothallia which in turn pro- duce both antheridia and archegonia upon the same indi- vidual. There are some kinds of ferns, however, that have two kinds of prothallia, a male, producing only antheridia, and a female, producing only archegonia. The female prothallia are generally larger and better nourished than the male prothallia, and where this difference is very pro- nounced it has been found that the asexual spores differ in size and that the smaller ones produce the male pro- thallia. Where this is the case the large spores are called megaspores, and the small ones microspores, and the plant is called lietorosporous to distinguish it from the homosporovis kind where the spores are all of the same kind. Where there is a difference in the size of the spores the differentiation extends to the sporangia, which are designated by the terms megasporaiigia and micro- sporangia. The differentiation may extend even to the sporophylls, which may be called m.ega — and micro- sporophylls. Classification.— There are three great groups of Pteriodophytes: (1) Filicales (ferns), (2) Equisetales (scouring rushes, horsetails), and (3) Lycopodiales (club mosses). The Filicales have been described. The Equisetales.- -The horsetails have slender and conspicuously jointed stems, the joints easily separating. The stems are green and longitudinally fluted and contain such an abundant deposit of silica that they feel rough to the touch, hence they are sometimes called ''scouring rushes." At each joint there is a sheath of minute leaves 16 BOTANY. more or less coalesced. As they contain no chlorophyll they may be called scales. In Equisetum arvense two kinds of stems arise from subterranean root-stalks, one early, without branches but producing spores, the other later and branching- profusely but producing no spores. The fructification is a compact cluster of peculiar sporo- phylls at the top of the fertile stem. Because of the resem- blance of this cluster to a pine cone it is called a strobilus, IJach sporophyll is shield-like (peltate) or umbrella-shaped and bears the sporangia suspended from the under side. Only one kind of spore is produced. Lycopodiales. — The club mosses have slender branch- ing prostrate or erect stems completely clothed with small foliage leaves. In the genus Lnd Inverte- brates. 2. Name the principal classes of Vertebrates. 3. What animals are regarded as degenerate Verte- brates? 4. What do the lowest forms of Vertebrates have in place of a backbone? 5. What animal shows all the Vertebrate character- istics in their simplest form? 6. How can the true fishes be distinguished from the lower fish-like forms? 7. How are the fishes sub-divided? 8. How do sharks differ from the Rays? 9. How do fishes breathe? 10. Describe the circulation of the fish. 11. How many chambers has the heart of the fish? 12. Define the terms liomocercal and heterocercal. 13. What organs of fishes correspond to the limbs of higher Vertebrates? 14. How do the nostrils of fishes differ from those of men? 15. Has a fish any ears? Can it hear? 16. When an ordinary fish sleeps does it close its eyes? Why? 17. What kind of fishes can close their eyes? How? 18. What is the lateral line of fishes? 19. Describe some fishes which are peculiarly adapted to their environment. 20. How do Batraehians differ from Pisces? 21. Name some of the animals included under the head batracia. 22. How do batrachians breathe? 23. Compare the circulating system of batrachians with that of fishes. 24. In what respects are the sense organs of batrachians better developed than those of fishes? 25. Give the life history of the frog. 26. How do salamanders differ from frogs? 27. Why can a toad swell up and what advantage is it to the toad? 14 f^. PHYSICS. (FIFTH PAPFR.) :ei,KCTRIClTY AND MAGNETISM. We know nothing- of the nature of Electricity beyond the manifestations of its energy. That is, all we know of it is the result of methods of disturbing electrical equili- brium and the utilization of the energy thus developed. This may well be considered the century which will witness the domination of this wonderful power, just as certainly as in the nineteenth century steam was pre- eminent; but its scope and its influence will b^as much broader and deeper as the grasp of human intellect and the possibilities of human achievment exceed those of the pre- ceding period. A clear comprehension of prevalent conditions in this instructive and interesting branch of science, necessitates constant study, not so much of new manifestations, as of new appliances and conditions in electrical science. Ivittle more can be done in a work of this character than to call attention to some of the familiar phenomena and the methods of making practical use of the energy thus pro- duced. The manifestation of electricity may be arranged under three heads: 1, Magnetic; 2, Static; 3, Dynamic. Its mag- netic properties will be considered under the head of mag- netism. Free electricity moving as a current is termed Dynamic and includes Galvanism and Faradism. MAGNETISM. , Magnets are bodies having power to attract iron and one or two other substances. This property is called mag- netism, a name derived from Magnesia, in Asia Minor, PHYSICS where this property was first observed. The magnets in common use are iron or steel artificially magnetized. The natural magnet is a species of iron ore called loadstone. An electromagnet is an artificial magnet produced by the action of an electrical battery. Artificial magnets are of two kinds. 1. Temporary, made of soft iron, which acquires magnetism readily but loses it as readily as acquired; 2. Permanent, made of hardened steel which cannot be as highly magnetized as soft iron. The presence of magnetism in any object may be shown by: 1. Its power of attracting iron filings, etc. 2. By attracting or repelling other magnets. 3. When freely suspended it will arrange itself so as to point toward the poles of the earth. It will impart its own magnetic proper- ties to iron or steel. The magnetic poles of the earth do not correspond to its geographical poles. They are located at points where the magnetic needle becomes vertical or perpendicular to the horizon when it is hung in such a manner that it may revolve perpendicularly to the earth's surface. Between these two points is a point where the magnectic needle stands parallel to the earth's surface. If a sheet of paper be placed between a magnet and some iron filings they will be influenced by the magnet and arrange themselves as if in contact with it. It. has been found by experiment that magnetic forces will act across a vacum, water and other substances except across iron or other magnetic material. Natural magnets do not increase in power in proportion to their increase in size. A horse- shoe magnet is three or four times as powerful as a bar magnet. A horse shoe magnet weighing one pound ought to lift a weight of twenty pounds. PHYSICS The points of strongest action in a magnet are near the ends and are called the poles. Two like poles, both posi- tive or both negative, repel each other; unlike poles attract each other; the force between two magnetic poles varying directly as the product of their strengths, and inversely as the square of their distance apart. If a magnet be broken, each part will be found to be a complete magnet with two poles, however small the parts may be. This leads to the theory of molecular magnets, i. e., that every molecule of a magnet is a complete magnet. The space around a mag- net through which it extends its action is a magnetic field. The magnetic field may be determined in the following way. Place a bar magnet horizontal and move a smaL compass needle around it slowly. Occasionally observe the direction of the needle when at rest. At points equally distant from the poles of the magnet the direction of the needle will be parallel to the axis of the magnet. As the needle approaches either pole of the magnet the more strongly is the unlike pole attracted and the like pole repelled. When the needle is at rest it always points in the direction of the resultant of all the magnetic forces that act upon it. At a comparatively small distance the magnet ceases to exert any perceptible influence upon the needle. Why the earth tends to turn a magnet on its axis but has no tendency to move the magnet either north or south is very easily explained. The magnetic field of the earth is enormous in extent and the lines of force at any place are parallel lines. The earth, therefore, exerts upon the poles of the magnet two equal parallel forces that act in opposite directions. Such a pair of forces, is, in Mechanics called a couple, and tends to produce rotation. Frictional or Static Electricity is sometimes called Franklinism in honor of Benjamin Franklin, whose inves- PHTSICS tigations marked an era in electrical science. The very common experiments, those of rubbing a glass rod with silk, and sealing wax with woolen cloth, which causes them to acquire the property of attracting light bodies, as bits of paper, pith balls, iron filings, etc., are examples of elec- trification. The contact of dissimilar molecules gives rise to the electric charge. It is supposed that the charge is due to a strained condition of the ether surrounding the electrified body. There are two kinds of electrification, — positive and negative. The glass rod in the experiment receives a posi- tive charge; the friction of the woolen cloth and the wax produce a negative charge in the wax. It may be stated, also, that the silk is negatively charged and the flannel cloth positively charged; for when friction between two substances results in an electrification of the one, the other is always oppositely charged. Similarly electrified bodies repel each other; and, bodies however charged, attract unelectrified bodies. Electric attraction and repulsion can be illustrated by further expe- riments as with the above, or other substances. The Electroscope is an instrument used to detect an electric charge as well as for testing whether the charge is positive or negative. A brass rod passed through the cork of a glass vessel terminates on the outside in a metal ball or disc. To the lower end of the rod is suspended two strips of gold-leaf. This is a simple form of the electroscope. When an electrified body is brought near the ball, or disc, the leaves will be charged similarly by induction, therefore they will mutually repel each other. Now if a body known to be positively charged is brought in contact with the disc and the divergence of the leaves becomes greater, we may 4 PHYSICS know the first charge was positive. If the leaves collapse, a similar test may be made with a negatively charged body. If then the leaves diverge more widely the first charge was negative. Conduction.— Substances that easily permit the flow of electricity over them are called conductors. No sub- stance is so poor a conductor that the electric charge can- not be forced through it, but some substances offer so great resistance that they are called insulators, or dielectrics. Dry air, ebonite, glass, etc., are some of the best insulating substances. Metals, charcoal, graphite, etc., are good con- ductors. A substance, in order to retain a charge of elec- tricity must be surrounded by some non-conductor. The substance or body is then said to be insulated. Glaie when kept dry and clean is one of the best insulators for practical purposes. If coated with varnish, moisture on its surface will interfere but little with its insulating power. "When an object is restored to a neutral condition by the touch of a conductor it is said to be discliarged. Any charged body may be discharged by connecting it with the ground by a good conductor or by passing it through a flame. Every electrified body exerts its action through a space called an electric field. If an electrified body is brought near an unelectrified conductor, i. e. , brought into an elec- trical field, the latter becomes electrified. A dissimilar electrification appears on the side nearer the charged body and a similar one on the f urtherside. Electrification pro- duced in this way, without contact with the electrified body, is electrification by induction. If a body is charged by placing it in direct contact with an electrified body, the process is called electrification by conduction. The charge produced in this way is one of the same kind as that of the communicating body. 5 PHYSICS Inductive action depends upon the nature of the medium between the electrified and the unelectrified body, or the dielectric. Glass has greater inductive power than air. The inductive power of air is taken as the unit and the specific inductive capacity of other dielectrics is determined upon this basis. When a body is electrified by induction the charge received will be opposite to that possessed by the inducing body. INDUCTION AND CONDUCTION COMPARED. By Induction: 1. The inducing body does not lose any part of its electricity. 2. The induced body receives a charge opposite to that of the inducing body. 3. The induced body, the object to be electrified, must be in contact with the earth, either directly or by means of a good conductor. By Conduction: 1. The conducing body loses part of its electricity. 2. The same kind of electricity is received by the body acted upon. 3. The object to be electrified must be insulated from the earth. The quantity of electricity is measured by reference to the force it exerts under certain conditions. Two bodies have the same quantity of electricity when they exert the same force upon a third body at the same distance from it. The electrostatic unit of quantity, is the coulomb. It is that quantity which exerts through the air force of one dyne on a similar quantity at one centimeter's distance, whether it is the force of attraction or repulsion. 6 PHYSICS EJxperiments have proved couclusively that the electric charg-e is entirely upon the outer surface of a charged con- ductor. Surface density is the term applied to the amount of electrification per unit of surface; it is greatest where surf ace curvature is greatest. On a sphere the density is uniform; on an oval shaped body it is greatest at the smal- ler end; on a cone the density increases toward the apex. A pointed conductor soon loses its charge while a sphere retains its charge better than a conductor of any other shape. The unit of capacity is the farad. It is that capacity of a conductor which requires unit quantity to produpe unit difference of potential. A pair of conductors slightly separated by a dielectric constitutes a condenser. It will be seen that the capacity of a condenser must depend on the distance between the conducting surfaces, their area, and upon the nature of the dielectric. Glass and ebonite are better dielectrics than air. By electromotive force we mean that agency which tends to produce or maintain a current of electricity through a conductor. The volt is the unit of electromotive force. It is the pressure required to maintain a current of one ampere against a resistance of one ohm — approximately the difference of potential between the zinc and copper elements of a DanielPs cell. The olini is the unit of resistance in conductors. The ampere is the unit of cur- rent strength. lilectricity may pass from one electrified body to another. The direction in which it passes depends upon which body has the higher potential, — the one from which it flows is said to be a higher potential than the one to which it flows. It will be seen, then, that the term potential is relative, and that it represents the degree of electrification of a body 7 ^ '■'- ?rt" PHYSICS as compared with other electrified conductors, which deter- mines whether the direction of transfer of electricity is to it or from it. This direction of transfer depends upon relative potential and not upon the quantity of electrifica- tion. "Whenever there is a difference in potential between two objects there is a tendency for electricity to seek an equilibrium. This cannot be better illustrated than in violent thunderstorms when the electric level between the earth and clouds is so great that electricity can no longer pass quietly between them but darts in forked streaks and enormous flashes at every discharge. Atmospheric Electricity.— Certain clouds may be highly charged with electricity; indeed it seems to be the electrical function of clouds to collect and concentrate the electrification diffused in the atmosphere. It is evident that a very high potential must result, and this induces an opposite charge in the earth beneath it as well as in other clouds, the intervening air acting as a dielectric. As the potential of the cloud rises or sinks there will be a discharge from cloud to earth or from cloud to cloud, owing to a difference in potential. The lightning flash is simply the temporary incandescent heating of the air particles incident to the discharge. The charge induced on the earth accu- mulates on elevated objects, buildings, trees, etc., intensi- fying the attraction for the opposite electricity of the cloud, since the thickness of the dielectric is reduced. lyightning rods are used to protect buildings from lightning strokes, the metal of which the rod is composed being a better con- ductor than the building upon which it is placed. Care should be taken; however, to have good connection of the rod in water or moist earth, otherwise it will at best be ineffective. 8 PHYSICS The lieyden Jar is the best known and most conven- ient form of condenser. It is a glass jar, coated within and without, about three-quarters of the way to the top, with tinfoil. The inner coating- is connected by a chain to a metal rod which passes through the tight cover of the jar and terminates in a metal knob or disc. To charge the jar the outer coat is placed in electrical connection with the earth by holding it in the hand, or otherwise, and the knob is brought in connection with a charged body. The charge thus given to the inner coat induces an opposite charge in the outer coat. By mutual attraction these opposite charges are "bound" at the surface of the glass, between the coats, thus leaving the inner coat free to receive another charge, which acts inductively on the outer coat as before, and so on for some time. Thin jars sometimes break if heavily charged, proving that the glass or dielectric is in a state of strain. The jar can be discharged by bringing one end of a stout wire, provided with an insulated handle, in contact with the outer coat and the other end in contact with the knob, thus connecting the two coats and establishing an equilibrium. EI^KCTROKINKIMCS^. ^ Continuous currents of electricity were first divised by Galvani (1786) and Voita (1792). Galvanism has been defined as that form of electricity generated by chemical action. The simplest form of cell consists of two pieces of dissimilar metals partially immersed in dilute sulphuric acid. The metals usually used are zinc and copper. No action takes place if the zinc is pure and the metals are not connected. The circuit is said to be closed or complete when the elements are connected outside the fluid. This may be done either directly or indirectly. Directly as when a wire is joined to one of the metals and then attached to PHYSICS the other; indirectly as when any substance or body which will permit the passage of a current of electricity through it is placed in contact with the ends of wires that have been attached to the two metals. The circuit is said to be open or broken when the current is arrested by disconnecting the two wires that have been attached to the two metals. Direction of Current.— The electric current may be regarded as starting at the zinc, passing through the fluid to the copper and from thence back through the connecting wires to the zinc. It may be briefly stated thus: — "The direction of the current in the fluid is from zinc to copper, outside the fluid from copper to zinc." There is really a current passing through the circuit in both directions at the same time but little attention is paid to the fact that there is a negative current coming from, instead of going to the zinc, etc. The Voltaic cell may be made in a simple way by partly immersing plates of copper and zinc in dilute sulphuric acid, one part of acid to ten parts of water. If we join the upper ends of the plates by a copper wire the zinc slowly wastes away. The zinc displaces the hydrogen from the acid, and enters into chemical union with the oxy- gen and sulphur to form zinc sulphate, which remains in solution. The wire shows evidence that an electric current is passing through it. We conclude that a difference of potential esists between the two plates, and the only explanation is in the chemical action just described. This action sends positive electricity to the copper and negative electricity to the zinc. The Daniell cell may be made in simple form by partly immersing a zinc bar in a porous jar containing dilute sulphuric acid, then placing this within a cylindrical sheet of copper which is partly immersed in a solution of 10 PHYSICS copper sulphate (blue vitriol), and connecting the zinc and copper. The zinc acts as in the above described cell and the hydrogen, set free, passes with the current through the porous jar, displacing copper in the copper sulphate, and sulphuric acid is formed. The free copper is deposited on the copper plate. Polarization is prevented which makes this one of the most constant cells. The gravity cell is a modification of the Daniell. The porous cup is dispensed with and the zinc is placed near the top of the jar with the copper plate at the bottom. The liquids are kept separate by their different densities. It is used on closed circuits, as for telegraph purposes, etc. The Lieclanche cell.— One of the latest forms of this cell is made by placing a cylinder composed of gas graphite and manganese dioxide with a core of gas carbon in a saturated solution of ammonium chloride, (sal-ammoniac). A cylindrical sheet of zinc is separated by rubber bands. Although polarization soon reduces its value when the circuit is closed, it depolarizes in open circuit, hence it is admirably adapted for ringing electric bells and for other purposes requiring a circuit for only a short time. The Smee cell consists of a silver or a lead plate suspended between two zinc plates immersed in a dilute solution of sulphuric acid. Polarization is prevented by giving the negative plate a coat of finely divided platinum. Both surfaces of platinum serve as a collecting plate. This cell does not furnish so powerful a current as some of the other varieties. The Potassium Bichromate Cell consists of zinc and carbon plates immersed in a solution of potassium bichromate dissolved in dilute sulphuric acid. By the action of sulphuric acid on the potassium chromic acid, which oxidizes the hydrogen, is liberated, thus preventing polar- ization. This cell is very convenient for quick use. 11 PHYSICS The Grove Cell consists of a cylinder of zinc immersed in a dilute solution of sulphuric acid. A porous cup con- taining strong nitric acid in which is immersed a strip of platinum is also suspended in the fluid. The nitric acid oxidizes the hydrogen evolved at the zinc plate. The Bunsen Cell differs from the Grove cell in that the plates used are of larger size, and in a substitution of carbon for platinum. The fumes coming from the nitric acid are offensive. This variety of cell is but little used. It must be remembered that the electromotive force depends almost wholly upon the nature of materials used. The source of the energy in the electric current is in the consumption of the zinc in the cells described above. In this consumption an equivalent of chemical energy is fouifd in the energy of the electric current into which it has been transformed. As long as the strain is reproduced by the chemical action of the cell as fast as it is relieved by the conductor joining the two poles, the difference of potential will be constant, and the current will be continuous and uniform. The principal differences between the different forms of cells are caused by the different devices for remov- ing hydrogen or for preventing its accumulation, i. e., to prevent polarization. A combination of two or more cells, in order to produce a stronger current than that furnished by one cell, is called a voltaic battery. When cells are connected, the positive plate of one with the negative plate of the next, and so on, they are said to be grouped in series. When all the positive plates are connected on one side and all the negative plates are connected on the other side, the cells are joined in parallel, or in multiple arc. The former method increases the electromotive force of the battery as many times as there are cells in the series, and 12 PHYSICS the internal resistance is increased to the same extent; while in the latter, the internal resistance^is decreased as many times as there are cells in multiple arc,but the elec- tromotive force is that of only one cell. When a current of electricity from one or more galvanic cells is passed throug-h a coil of wire the galvanic properties are modified to a great extent and a new current is prac- tically obtained. This current is known as the induced, interrupted or f aradic current. The wire through which the current passes is called the primary wire, and the current the primary current. The parallel wire is called the secondary or induced circuit and the current the secondary current. These wires are usually arranged in coils composed of many layers of wires, the primary coil, a "short coil" of coarse wire that it may have little resistance, lying within the secondary, a "long coil" of fine wire having many turns, from which it is separated by insulation. A steady flow of electricity through the primary coil will produce no effect over the secondary so long as it flows without interruption ; yet if the current suddenly be broken, a momentary wave or cur- rent will instantly flow through the others in the same direction as the original current. If now the current be re-established through the first coil, another momentary wave will pass through the second coil, but in an opposite direction to the one passing through the first coil. In- creasing or decreasing the current affects the direction of the momentary current in the same way as starting or stopping the primary current. If the primary will be replaced by a magnet it will be found that induced currents will be produced in parallel wires, either by motion of the magnet or by altering its strength. L^ike electric induction, magnetic induction occurs only at the instant the magnetism is disturbed. 13 PHYSICS PRIMARY AND SliCONDARY FARADIC CURRE^NTS COMPARl^D. PJRIMARY CURRENT. 1. The primary current is composed of a single in- duced current, always going in the same direction. 2. The primary current exhibits some galvanic prop- erties in that it deflects the galvanometer and possesses feeble electrolytic power. 3. The primary current is less rapidly interrupted. 4. The primary current possesses more power to ex- cite sensory and motor nerves of a muscle. SECONDARY CURRENT. 1. The secondary current is composed of two currents which go alternately in contrary directions. 2. The secondary current does not deflect the galvan- ometer. It may cause a delicate magnetic needle to oscil- late slightly, however. 3. On account of its rapid interruptions the secondary current possesses distinct properties, different from those of any other current. 4. The secondary current excites the cutaneous nerves very acutely and seems to penetrate the tissues very deeply. Resistance is either external or internal. The latter term is applied to the resistance of the generator, and the former includes all other resistance of an electric circuit. External Resistance.— Other things being equal, the resistance of a conductor is (1) directly proportional to its length; (2) inversely proportional to the area of its cross section, and (3) dependent upon the nature of the material of which it is made. In metal conductors resist- ance increases with a rise of temperature. German silver 14 PHYSICS is less affected by change of temperature than most other metals. The resistance of carbon diminishes with a rise of temperature. Internal Kesistance.— The resistance of the liquid conductor in the battery is modified by its length and cross section in the same general way as that of a metal con- ductor. Bringing the plates nearer together or increasing their size diminishes the internal resistance of a Voltaic cell. Ohm's Law.— The three factors, current strength, electromotive force and resistance are evidently dependent upon each other. In the well-known Ohm's Ivaw their relations to one another are stated. The current is equal to the electro-motive force divided by the resistance. C=^, Ei=RC, and R=^. This law is the basis of a large number of electrical measurements commonly made. Any two of the three quantities being given, the third may easily be calculated. Measurement of Resistance. — The Resistance Box consists of a cylindrical box containing a number of coils of German silver wire whose resistance vary from .1 ohm to SO ohms. The total resistance is 160 ohms. The coils consists of insulated and double wires, the terminals of each being connected with brass blocks. Brass plugs are inserted between these blocks; the coils are short circuited and practically the whole current passes through the plugs from block to block. When a plug is withdrawn the current is obliged to traverse the corresponding coil. By withdrawing the proper plug any desired resistance within the capacity of the box may be obtained. The Wheatstone Bridge. — Space will not permit the proper description of the Wheatstone Bridge. It is recommended that the student procure some good text book and study this subject carefully. 15 PHYSICS When a wire carrying an electric current is divided into two parts, the current will divide, the partial currents varying- inversely as the resistance through which they pass in the branch. Either branch is called a shunt of the other branch. Magnetism and electricity are very closely related. In 1820 Oersted discovered that an electric current was able to deflect a magnetic needle. This discovery is memorable in that it was the first of a series of discoveries establish- ing the common nature of magnetism and electricity. If a magnetic needle is held parallel to an insulated wire which carries an electric current a deflection of the needle will be observed. By changing the relative position of the wire and needle or by reversing the current the deflection will be reversed. If the wire is carried completely around the needle the effects of the upper and lower portions of the wire combine to increase the deflection of the needle. A copper wire, when traversed by a strong current, will attract iron filings so that they adhere to it in clusters. If the wire passes vertically through a cardboard upon which iron filings are sprinkled and a strong current sent through the wire, the filings will become small magnets for the time being, grouping themselves in rings around the wire. We may say then that an electric current pro- duces a magnetic field in its neighborhood and that the lines of force are concentric circles perpendicular to the direction of the current. A wire in the form of a spiral, through which a current of electricity passes, is called a solenoid. By experiment it may be seen that the solenoid acts as a magnet. The action of two solenoids upon each other is the same as that of two magnets. The end of the solenoid from which the lines of force issue is the north pole; the other end is 16 PHYSICS the south pole. When the wire is traversed by a strong current the solenoid will set itself, with its axis pointing- north and south just like a suspended magnet. If a small bar magnet is held with its south pole near the north pole of the solenoid, it will be pulled into the solenoid. If the north pole is presented strong repulsion will be observed. The Electromagnet.— The strength of the magnetic field within the solenoid is enormously increased by substi- tuting a cylinder of soft iron in place of air. An electro- magnet is a bar of iron round which insulated wire is coiled in the form of a spiral. The electromagnet may be of any shape but that of a horseshoe is usually chosen. This form increases the number of the lines of force and the strength of the magnet. To produce the best results the resistance of the electromagnet should equal that of the rest of the circuit. If several electromagnets are used the sum of their resistances should equal that of the rest of the circuit. An Armature is a soft bar of iron placed across the poles. By this means the lines of force lie wholly within the iron and their number become the great- est which a given current can produce. Electromagnets exceed permanent steel magnets. The greatest practical use of the electromagnet consists not in its lifting power but in the fact that its magnetism can be controlled at will. An electromagnet is a magnet only when an electric current passes through its coils. When the current is shut off the iron core returns to its natural condition. Ampere long ago suggested that magnetism is simply a vertical electric current and that a magnetic field is something similar to a whirlpool of electricity. Briefly stated his theory is that magnets and solenoid systems are fundamentally the same. This does not imply that a steel magnet contains an electric current which circulates round 17 PHYSICS and round it as does an electromag-net, but that every molecule is a magnet, that every molecule is the seat of a separate current which circulates round it without resist- ance. AMPERE'S I/AWS. 1. Parallel currents in the same direction attract one another; parallel currents in the opposite direction repel one another. 2. Currents that are not parallel tend to become parallel and flow in the same direction. 18 PHYSICS OUTLINE QUIZZES. (FIFTH PAPFR.) 1. In what three ways may the manifestation of elec- tricity be arranged? 2. What is a magnet? In what respect does an elec- tromagnet differ from a natural magnet? 3. Where are the magnetic poles of the earth located? What is meant by the poles of a magnet? 4. What are the two kinds of electrification? How would you determine the kind of electrification a body possesses? 5. What is an electric field? Upon what does induc- tive action depend? 6. Compare Induction and Conduction. 7. What determines the direction of an electric cur- rent? Where, in an electrified body, is surface density greatest? 8. Define ampere, coulomb, volt, ohm, farad. 9. Discuss atmospheric electricity. Describe the I/ey- den Jar. 10. What is meant by a closed circuit? Iri what ways may a circuit be closed? 11. Describe the Voltaic cell. The Daniell cell. 12. In what respect does a Bunsen cell differ from a Grove cell? 13. Upon what does electromotive force depend? 14. What is meant by joining cells in series? In parallel? 15. Compare Primary and Secondary Faradic currents. 16. What is the difference between external and in- ternal resistance? Discuss each. 17. Describe the Resistance Box. What is a solenoid? 18. j What is an electromagnet? An Armature? 19. Upon what does the practical use of an electro- magnet depend? 20. Give Ampere's laws. 19 GE,NERAL HISTORY. (FIFTH PAPER.) MFDIAEjVAi; HISTORY. Mediaeval History extends from the fall of Rome, A, D. 476 to the discovery of America by Columbus, A. D, 1492. It is an important period, for during" that time those forces were forming which were to make modern civili- zation what it has become. From A. D., 476, to the begin- ning- of the eleventh century, is the period usually known as the Dark Ages; from the beginning- of the eleventh cen- tury to A. D. 1492, the Revival of I^earning. % At first it seemed that the fall of Rome was an irre- trievable disaster, for instead of the civilized and cultured Romans and Roman Provincials, we find countless num- bers of half-savage Teutons, everywhere victorious and everywhere crushing out the works of civilization. But although they destroyed much, they gave something with- out which culture is vain and useless, and that is,cliarac- ter. If their manners were rude, their morals were excel- lent. They were lovers of their homes and families, and reverenced women. They were personally loyal and faith- ful, and loved liberty. They were very different from the degenerate Romans. Another striking characteristic of the Teutons was their capacity for civilization. Their own manners and customs, even their language and religion, quickly changed for the better under the influence of those whom they had conquered. So the accumulations of the Greeks and Ro- mans were not entirely lost. They were to enable the new race, in time, to go far ahead of the point they themselves had reached. GENERAL HISTORY. THE DARK AGES. The first thing to be taken up in the study of Mediaeval EJurope, is the History of the Teutonic Kingdoms that were founded on the ruins of the Roman l^mpire of the West. The most important of these were, I. THK KINGDOM OE ODOACER. Odoacer, leader of one of the tribes of the Visigoths, dethroned Romulus Augustulus, and ruled Italy seventeen years. II. THE KINGDOM OE THE OSTROGOTHS. Theodoric, in A. D. 493, drove Odoacer from his throne, and ruled over Italy for thirty-three years. His reign was peaceful and prosperous. In 553, the barbarians were driven out by Justinian, and Italy was reunited to the EJm- pire. III. The kingdom oE the i^ombards. The Ivombards subdued and settled in Northern Italy. The Monarchy they established was feudal in character so that the country was broken up into a number of petty states. The Kingdom was destroyed by Charles the Great, in 774. . IV. THE kingdom OE THE VANDAI^S. The Vandals passed from Western Europe to Africa, and made Carthage their Capital. They conquered not only Northern Africa, but Corsica, Sardinia and the Balearic Isles. They were pirates, and became, in a short time, the terror of the Mediterranean. They were finally conquered by Justinian, and included in his Kmpire (A. D.,5S3.) V. THE WESTERN KINGDOM OE THE VISIGOTHS They settled first in Southern Gaul until they were driven across the Pyrenees by the Franks. They ruled in Spain nntil the eighth century, when they were conquered by the Saracens. GENERAL HISTORY. * VI. THE ANGI,0-SAX0N KINGDOM IN KNGI^AND. When the Roman lyeg-ions were withdrawn from Eng- land in the fifth century, the Britons were exposed to attacks from the Picts and Scots on the north and west, and from the Ang-les, Saxons and Jutes on the east and south. In order to conciliate them, they gave to part of their foes, land in Kngland. But this simply tempted others of the Barbarians, and they came in great numbers. After a long, fierce struggle with the native Britons, they con- quered the island. Almost every trace of Roman civili- zation was blotted out. In the sixth century, kingdoms were established, known collectively as the Saxon-Hep- tarchy, For two hundred years there was a constant strug- gle among them for supremacy. Finally, in 802, Ivgbert, King of Wessex, became King of the United Kingdoms. The Anglo-Saxons were converted to Christianity by St. Augustine. The Celts, or native Britons, had been converted long before, but on account of the long separa- tion from Rome, certain differences in the method of wor- ship had sprung up. Over these, the Anglo-Saxons and Celts quarreled bitterly until the Council of "Whitby (A. D. 664) settled the matter. After this, the English al- ways looked to Rome for guidance, which was a very good thing. It hastened the political unity of England through its ecclesiastical unity ( the Celtic Church had had no ca- pacity for organization), and re-established the connection of the island with Roman civilization. VII. THE DANISH KINGDOM IN ENGI^AND. The Danes, or Northmen, were pirates, who were at- tracted to the English coast toward the end of the eighth century. They were soon in possession of half the country, when Alfred the Great (A. D. 871-901 ) came to the throne and held them in check. In spite of his heroic efforts, he GENERAL HISTORY. could not drive them from the island, but was compelled by the treaty of Wedmore (878) to give them all the north- eastern part of EJngland; in return for which, they received Christian baptism. King- Alfred did his people more lasting good by his services as a law giver and an author. He collected and revised the ancient laws of the Anglo-Saxons. He trans- lated many I^atin works into Knglish, tp which he added many reflections of his own. In this way he gave the first impulse to English lyiterature. During the century which followed the death of Alfred, the troubles with the Danes continued. Finally, a weak King, Ethelred H, gave the victory to the Danes. In 1016, Canute was made King of all IJngland. The Danes gave no new element to the population since they were closely related to the Saxons, but they invigorated and strength- ened the old Teutonic stock. VIII. Th:^ kingdom oif normandy (A. D. 912.) The Northmen made conquests and settlements, not only in Eingland, but also in Iceland and Greenland, in Sicily and Southern Italy, and [in Northern Gaul in the province which came to be known as Normandy. Here they quickly adopted the language, the manners, and the religion of the Romanized people whom they had con- quered. IX. TH]^ KINGDOM Olf TH^ BURGUNDIANS (443-534). They obtained a permanent foothold in Southern Gaul, but were finally absorbed by the Northern Kingdom, in the time of Clovis. X. THK KINGDOM OF FRANKS. The Franks early made settlements in Gaul. There were two branches of these people, known as the Ripu- arians and the Salians. The latter was the leading nation. OEyEBAL. HISTORY. and from it, their kings were chosen. The name Mero- vingian is given to this dynasty, on account of Merowig, one of the early chieftains. Clovis was their most famous king. In A. D. 486, he attacked and conquered the Roman Governor of Gaul and so destroyed forever Roman author- ity there. After the death of Clovis, the country was in a very unsettled state, and the kings became so weak, they were called "do-nothing Kings." At this time, the Frankish Monarchy was divided into two parts, Austrasia and Neustria. At the head of each part]was an officer of the crown, known as Mayor of the Pal- ace (Major Domus). These men grew rapidly very powerful, but in the end, the Austrasian family proved the a|ronger, dispossessed the Merovingian King, and established a new royal line — the Carolingian. Three successive prin- ces. Pippin II, Charles Martel, and Pippin III, by their wonderful energy and great achievements, raised the new dynasty to a place of great dignity and power. There was one deed of Charles' s that made him great, not only for his own, but for all time. By his victory over the Saracens at Tours, or Poitiers, in Central France, A. D. 732, he saved Europe from Mohammedan subjection and conse- quent stagnation. As a direct result, he became King in fact, though not in name; his son, Pippin III, was the first to bear that title. At that time the kingly name was held in great rever- ence. Pippin did not boldly assume it, but first sent to Pope 2^acharias for his sanction. The Pope was glad to have Pippin for a friend, so he sent back the reply that it seemed altogether reasonable that the one who was King in power should be King also in name. Then Pippin was anointed King of the Franks by Bishop Boni- face in the name of the Pope (A. D. 751). I^ater he was S GENERAL. HISTORY. able to return the favor done him by the Pope. When the latter was troubled by the Lx^—(>x-{-l. Ans. 2x'^^Zx-^l. Model operation: Ax^—12x^^lZx'^—ex-\-\ I 2x'^—2>x-\-l 4x^ 2{2x^)=4x^= trial div. — 3x :=correc 4^2 — 3^= com. div. -12x^+13x^ —\2x^-\- 9x^ 2(2;t:2 3x)='^x^—6x=t. d +1 = cor. 4,^2 — 6;ir4-l = com. d. 4;r2— 6;ir+l 4x^—f>x-\-l ALGEBRA. 2. Find the square roots ot ^x^+6^-i-9. Ans. X -{- 3. 3. x^—Sx-\-16. Ans. X — 4, 4. x^-{-'&x^+16xK Ans. x^-\-4x. 3. Ax^^9x^—I2x*. Ans. 2^3_3^. 6. x'^-\-1Qqc^—Ax^-\-9x^ — 12a;3. Ans. ic^— 2jb24-3x. 7. —2bc+c^—2ac-^a^—2ab-\-b^. Ans. a— 6 — c. 8. —12xyA-4x^+i+9y^+Sx—12y. Ans. 2x — 3^+2. 9. a2^2ab+d^-{-2ac-{-2bc+c^ Ans. a-\-b-\-c. 10. x^—Axy-\-2x-{-Ay^—Ay-\-l. Ans. X — 2y-\-l, 11. x*+4x^y+Ay^—4x^—Sy-\-A. Ans. x^-{-2y — 2. 12. l_4y_|_4y_j_2a;— 4x:j/2-fa;2. Ans. 1— 2j2-|-a;. 13. 4m^—1 6m^+247n^—16m +4 Ans. 2^2— 4w-j-2. 14. l+10a2-f-25a4-|-i6a6— 24a6— 20^3— 4fl. Ans. 4a^—Za^+2a—l. 15. 4a4+4«3_i/2a+i/ie. Ans. 2a24-a-V4. 16. 9x4+3x2;/+2x2+V4y+V3:i^+V9- Ans. 3a;2+V2j>/+V3. aj6 x^ x^ 2x^ „ a;3 ajS 17. -9-T+T-T-+^'+i- ^"«- T--2-1- 18. 4a;4+3a;2j— 8cc2-|--^— 3j|/+4. Ans. 2a;2+^— 2. 19. 4a2— 4— 20fl;4--a+— +25. Ans. 2a— -^—5. 20. 256aio+8a6— 32a6^-hl6a«+/5.2+^— ^-f-^_^-|_i/4. Ans. I6a«+-^— ^+1/2. CUB^ ROOT OF POI,YNOMIAI,S Rule. — ( 1 ) Commencing with a perfect cube, arrange the Polynomials with reference to the powers of some letter. (2) Place the cube root of the first term to the right is the first term of the root, and subtract its cube from the Polynomial. ALGEBRA. (3) To the left of the remainder place three times the square of the root, as the first trial divisor, and obtain the second term of the root. (4) To the trial divisor add three times the product of the first and second roots, as the first part, and the square of the second term of the root, as the second part of the correction — the sum of these three parts will be the first complete divisor. Multiply this by the last term of the root and subtract the product as before. (5) To the last complete divisor add the first part of the last correction, and twice the second part. The sum will be the second trial divisor, with which find the third term of the root. Form the correction by taking three times the product of the first term of the root by the last term for the first part, and the square of the last term for the second part. Add the trial divisor and the two cor- rections. The sum will be the second complete divisor. So continue until all the terms of the root have been found. Find the cube root of m^—6mhi'\-12mn^ — 8n^. EJxplanation: nt^ — 6m^n-\-12mn^ — 8«^j | nt — 2« Zm^, (first trial div. m^ —6m^n-\-12mn^ — 8n^ First remainder. ^ 9 , ,- 9 o Product of complete —6m^n-\-12mn''—8n^ divisor by the second — term of root. 3m2— 6w»+4«2 (Complete div.) It is plain that the first term of the root is the cube root of m^, the first term of the power. We place this cube root, w, in the root, and write its cube, m^, under m^ in the power. When this is subtracted there remains — 6m^n-\-12mn* — 8«3. ALGEBRA. The second term, — 2«, of this root, is obtained by di- viding the first term of this remainder, — 6w%, by three times the square of m, or Zm^, which we call our trial divisor. The complete divisor is formed by adding three times the product of this second term, — 2«, by the first, m, {—6mn), to the square of the second term, or 4nK Then this sum, 3m^—6mn-^4n^, is multiplied by the last term of the root, and the product, —6m^n-\-12mn^—8n^f is subtracted from the first remainder. Since the result is nothing, we have the required root. 1. Find the cube root of 27a3+9a+27a24-l. 2. ic3— 12x2+48x— 64. 3. a;6—3x« +6x4—7x3 -f 6x2— 3x+l. 4. 8x3-f36x2j/+S4xy+27y. 5- -8+^-+-4-+^'- 6. riaP + 9a^ + a%'^ +~27"- 7. a^-]r^a%-\-Za^-\-e>ab-\-Zab^-{-Za-^Zb^-^b^-\-Zb-\-l. Ans. a-\-b-\-\, 8. a^—6a^-{-12a—8. Ans. a— 2. 9. -g+-2-+662+8d^ Ans. -^+2b. 10. a^f» -^Za^mbn -j-3^wd2« ^^3«, Ans. a»«-f-d« . Ans. 3a+l. Ans . X— 4. Ans. X 2-X4-1. Ans. 2x+3j|/. Ans. a Ans, ab. AI.GEBRA. 11. Find thecuberoot of a34-3a2^-f3a62_|_^3_}_3^2^_|.6^^^ f362^+3ac2_|_3^^2_^^3. O '^1 CD =+ I 1+ w <>, !1 «. ^ + li 8 O (T) OJ S 2- ^ o IT. <^ O OJ O • '^ r^ to ^•+ 03 o I-t C)~ > o. a K> W W ^ ?i R rl- "> Ht ; P _i_ <^ •^ »T3 ^ O (B O p ir* "s- o (D r+ 1:; CD ba r' o w <-h •^ II to O ^ 3 <^ ^+ n all •-t w ■^ o o o ~— -t 11 ^ II o W n o o t3 O o C*J X OJ w OJ OJ 01 Cu B p I-t OJ + ON <^ 4- OJ <:>. ba + OJ ^« -f OJ <^ 02 o o o cu o OJ + ON + OJ I^O OJ r^ OJ OJ bS w o o o D p* « 1^ O) r+- B 13 Pi •^ t— o p 0» a )= n> o t> r+ OJ OJ Si <:> bO + OJ b9 OJ bS + OJ bO + ON OJ bO + OJ + OJ ^> + + n <&- r*- + II B W p o !-»• » o p. • ALGEBRA. RADICAI< QUANTITIES. A radical (radix, a root, ) is a quantity whose root is indicated by the radical sig-n, •/, ^, etc., or by a fractional exponent, %, %y etc. The Coefficient of a radical is the quantity placed be- fore the sig-n, as ^i/lab. The Degree of a Radical is shown by the index, or by the denominator of the fractional exponent, as iXa" \/^' or, d^l2, a^lz- Similar Radicals are those which have the same quan- tity under the same radical sign, or fractional exponent. A Surd is a quantity whose indicated root cannot be obtained, or expressed, in rational terms, as 1/27 The Calculus of Radicals is a term used in Elementary Algebra to indicate the operations of Reduction, Addition, Subtraction, Multiplication and Division of Radicals. REDUCTION OP RADICAI^S— CASE 1. To reduce a Radical to its simplest form: Rule. — Separate the Radical into two factors, one of which is the largest perfect power of the same degree as the index. EJxtract the required root of this factor, multi- ply it by the Coefficient of the radical and annex the Surd. Model operation: l/75a%=:what? l/75^86V=i/25a2^2x3a7=5a^l/3aZ" Simplify the following: 1. i/i08. Ans. 61/3T 2. i/l8x2. / Ans. 3X|/2" 3. i/288a663^2. Ans. llaHc^^l^ 4. \/a^—a^xK Ans. ay^a~ax^ 5. S\/SOaH. Ans. 2Ea\/2b^ ALGEBRA. 6. 4j/54aV. Ans. 12at/2^ 7. 6i/25a?-25a^. Ans. 30ai/l=^ 8. 3l/2AaW. Ans. 6ai/3a62: 9. 6^^48^564. Ans. 12ad t/z^. 10. V4l/i6a3— 32a2d. Ans. ai/a—2b. CASE 2. To Change a Rational into a Radical form: Rule. — Raise the quantity to the same power as the .ndex of the radical, place the result under the radical sign, ind, if necessary, multiply by quantity already binder the radical sign. 1. Place Za in the expression Za ^/y under the radical sign. Operation: Square Za; hence, ^a^'y^^. Multiply by ^^ l/9a2X i/y=i/9a2^. Answer. 2. Reduce to the form of the square root, Aa^xy\ 3. 8a^i/— 2. Ans. v^—12^a^l^, 4. Reduce to form of cube root: 4a2ay/2. Ans. l^dAa^x^cK Bbc^l/d'. Ans. J/ 125^ c^d, 5. 3a^2 3/^ 6x2^3/11^ 6. Reduce to form of square root (2a-\-d), Ana. i/ 4a^^4ad-j-d^, 7. Reduce x — 2y to the form of the square root. Ana. i/«* — 4ay-f4y*. 8. Reduce a^i^ to the form of the fourth root. Ana. ya^lW, ALGEBRA. 9. Reduce '^j^a^bc to the form of the third root. Ans. i/'^'^f\2ba^bh^. 10. Reduce a^ to the form of the «th root. Ans. T/^ama . CASK 3. To Reduce Radicals to Equivalents of the same degree: Rule. — Indicate the Radicals, if necessary, with frac- ioaal exponents. Reduce these exponents to common de- nominators. Raise each quantity to the power indicated by the numerator of its new exponent, and indicate the root by the denominator. Examples: 1. Chang-e i/^o^ and ^/"^ to equivalents of the same degree. ^~l)={ab)^lr, ^~^={a^b)'^/3. Reduce exponents Va and Vs to common denominator, which are three-sixths and two-sixths, and apply rule. Then ^^=6/^3^3^ and l/^aH 2. Change to equivalents of same degree: IZ-^TO^ and f/47 ^ns. f/l,000, and J/ieT 3. ya^y^n&l/^^. Ans. ^l/aH^^md^l/^K 4. i/'^xjy, and ^/xyi Ans. ^l/x^y^, and ^\/x^y^. 5. yzx^, and ^4^ Ans. 6/9^^ and f/e4^ 6. a«, and b't. Ans. ^J/o^ and '^^^ 7. a'^/s, and b i. Ans. ^^/a^, and ^{/PT 8. (m+ny Is, 3.nd (x+yy/i. Ans. ^v'^im-^-n)*, and ^l/{x-\-y)K ALGEBRA. 9. ( VI— n )73, and (m-\-n j^e Ans. i/'^(m—n )\ and y'^i m-\-nY. 10. aVs \/b, fz-^^and ^74. Ans. 1 e-^aS 1 ^/^ 1 y^ and ^ ^^; ;3 Note. — It has doubtless been observed that the numerator of a fractional index indicates the power of the quantity to which it is at- tached^ and the denominator indicates the root of the power. For ex- ample, a% indicates the fourth root of the third power of a. ADDIITON OF RADICAI^S. Kiile.— (1) Reduce the Radicals to their Simplest Form, (2) Add the coefficient of similar radicals and an- nex the common radical. (3) Connect dissimilar radicals by their proper sign. ^ Examples: 1. Add i/27a:2 and i/^48^. Model operation. First reduce: 1/27^= y 9x2X3 =3iCi/y ) ^^ ^ . xAdd, v/4 x^ =^ v^lbx^X^ =ixy^ 3 ) 7xj/'^3. Answer. 2. Add i/SO^yTand y^72x^y. Ans. llxy^TyK 3. v/l25 and i/SOOx^. Ans. (5+10x)i/5. 4. i/l8^ i/l28, 1/32? Ans. 15i/2. 5. ^^32; f^iosT ^^2567 Ans. 9^4: 6. 3v^b-~ a.nd By^a^bT Ans. (35+S«)i/^5. 7. ai/"^ and bi/^bV: Ans. (a^-{-b^)y^ 8. ag//27^ and 3^^6467 Ans. (3^2+12)^.^^ 9. 5^^ and ^y'^x^y. Ans. 5x2 3/^ ^435^/3;^^ 10. ai/^i6xV and i/25x4y. Ans. {Aax-\-Sx^)^/ y, SUBTRACTION OF RADICAI.S. Rule.— (1) Subtract the Coefficient of similar radi- cals, and annex the common radical. (2) Connect dis- similar radicals by their proper sign. ALGEBRA. Examples: 1. i/242a5^— i/2a3^. Answer, {lla^d^—ab) ■\/2aF, 2. From 2v/25a^ take 2d]/^. Ans. 8bi/^, 3. From 6a i/a^ take Si/a^. Ans. a^xx/x* 4. From 6^/^ take — 55]/^. Ans. llb-[/d. 5. From — 3i/xV take —7x}/j^. Ans. 4xyi/y. 6. From ]/l60a^x^ take aa;i/250ax. Ans. — aaJi/lOaa;. 7. From i/o^ take ]/^ Ans. C^— ^) l/?- 8. From 5]/^ take 2i/V5r Ans. ^yui/sT Solution; 2i/V^= 2i/5xW= Vei/'^ iVsi/S-Vsi/S =i3/i5i/5: Ans. 9. From 3i/a2— a^d take 2ai/l—b. Ans. oti/l— 6. 10. From ^/a^^^^^^^ad^^^^ take i/a^— 3a2^-}-3«d2_6^. Ans. ( a-^b ) \/{a—b )— ( a — b) \/a — b =2by'^a—b. MUI.TlPI,lCATlON OF RADICAI^S. Rule. — ( 1 ) Reduce the radicals to a common index. (2) Multiply the coefficients of the radicals for a new co- efficient. (3) Multiply the radicals for a new radical, to which prefix the coefficient. (4) Reduce the result to its simplest form. Example: 1. Multiply 4i/Sa^ by 3i/2aa. Ans. VlOa^^. 2. 3v^ by 5v/l2. Ans. 6O1/6. 3. xi/z by y[/z. Ans. xyz. 4. my^n by ay"^. Ans. amn. 5. y m — n by y'^ 'm-\-n, Ans. y^ni?- — n^. 6- \/^b ^y 1/^. Ans. y^abcd. 10 ALGEBRA. 7. i/tn^ by \/n. Ans. 8. az hy bh Ans. J/aS^s, or, {aH^yi^. 9. p/^ by i/w. Ans. ^i/w^w', or, {ni^n^)^lz. 10. a«« , by 6«, Ans. i/ a« o"»* ' ^ ' ««« 11. Multiply a+]/^ by w— 1/» Operation ; m—i/n — ai/n — \/ bn. 12. Multiply a — y'^ by c — \/d. Ans. ac — a\/d—ci/b-\-\/bd, 13. i/7 — ]/ J by \/~c-\-\/'d, Ans. r — ^. 14. y^a-\-i/b by v^+l/^- Ans. a+2]/'^+^. 15. v^— l/^ by i/a— i/^' Ans. a—2i/ab-{-b. DIVISION OF RADICAI^S. Rule. — ( 1 ) Reduce all Radicals to a common index. (2) Divide the coefficient of the dividend by that of the divisor for the coefficient of the quotient. (3) Divide the dividend radical by that in the divisor for the radical of the quotient. To this fix the coefficient, and reduce the result, if necessary. Kxamples: 1. 4a-i/^-^6bi/y, Ans. ?| J|. 2. VUa^ by ■/4ax. -A.ns. 1/3^ 3. Va6x2 by 3v/^^. Ans. 3i/^. 4. Va^+ax by Va. ^^^' V a-\-x. 11 ALGEBRA. 5. 12/^2^ by a/Z:^ Ans. 4/11^. 6. 6adcy^ by 2ac^y^ Ans. 36|/^_ 7. ISm/^ by 5/^. Ans. 3mi/^. 8. f^Zy by f ^II^. Ans. ^^^qZ^T. 9. Va by i-^a. Ans. Va. 10. '^/a by 5>/a. Ans. '«^V'-/«. INVOI.UTION OF RADICAI^S. TO RAISE A RADICAI, TO ANY REQUIRED POWER. Rule. — (1) Express the root of the radical by using fractional exponents. (2) Multiply the index of the root by the index of the power required. (3) Prefix to this re- sult the required power of the coefficient. (4) Reduce to simplest form. Examples: 1. Required the square of 3-^x. {^f xf={^^^)^=Z^x^ =9x^=9 f^. Ans. 2. Find the square of 5y^, {5ymy={Sm\yz=S'^ml=2Sm2=25\/m. Ans. 3. Required the cube of Ay'^m. (4i/^w)^=(4w2)3=43m2=64w2=64i/'m^. Ans. 4. Find the cube of i/am. Ans. y^a^m^. 5. Required the cube of 3i/m Ans. 27m, 6. Find the square of Zai/a. Ans. 9aK a / — . 7. Required the cube of 2y 2a. (|l/^)3=(|x22X«2)3=(^X2iX«2)=(^X2X22X « Xai)=(-^X22X«2)=-|-i//2^. Ans. 8. Find the cube of 3-. /^. Ans. gaXi/ ^. 12 ALGEBRA. 9. Required the fourth power of 2i/a^. Aas. 16a^d^. 10. Find the cube of x/a~+b. Ans. a-\-b. Note,— Remove the radical sig-u or the fractional exponent to raises a root to a power of the sa me n ame, as in the above example the radical sig-n is removed to raise l^« + z> to the third power. KVOI.UTION OF RADICALS. TO EXTRACT ANY ROOT OF A RADICAI,. Rule. — (1 ) Express the root of the radical in the form of a fractional exponent. (2) Divide the fractional ex- ponent of the radical by the number denoting- the required root. (3) Prefix to this result the required root of the coefficient. Examples: 1. Find the square root of a^i/a^b^. (a^l/'^a^d^ ) 2 = {a^a2b2)2=za2aidi=a^atdt=za^\/a^d^. Ans. 2. Find the cube root of Sy"^. Ans. 2i/'^m. * _ 3. Required the square root of 25^/x2. Ans. Sf/x. 4. Find the square root of 9^/'^3x Ans. Sf/'^Sx. 5. Find the cube root of 3ay'^3a. 3ai/^3^ = i/'^27a3. The cube root of i/27a3=(272a2 )3 =27 6al=l/^Z7a^. Ans. 6. Find the cube root of Aay^fnhi^. Ans. i/^l6a^m^n^. 7. Find the square root of V25^^. Ans. ^jbi/^a. 8. Find the fourth root of ^1^^, Ans. zya. 9. Find the cube root of i/243a\ Ans. a^ i/Ja^. P./' 10. Find the seventh root of 128v 1024a^ ,3 5/: Ans. 2 V 102-,a2. RATIONAI^IZING A RADICAI,. CASE 1. TO RATIONAWZE A RADICAI, MONOMIAI,. Rule.— Multiply the radical by the same quantity having- such fractional exponent as, when added to the fractional exponent given, the sum shall equal 1. 13 ALGEBRA. Examples: 1. Rationalize y^. l/x=x^l2. Multiply by xV2, since V2+V2=l» Aus. X. 2. Rationalize o^Vs. Multiply x^/3 by x^/s, since it is necessary to add ^/a to V3 to make it equal 1. Ans. x. 3. What factor will rationalize a^/i?. Ans. 0^/4. 4. Required a factor to rationalize i/a. Ans. i/^. 5. What factor will rationalize i/a^c^? Ans. i/^. 6. What will rationalize t/(a-\-d)^? Ans. l/{a-f-d)K 7. Required a factor to rationalize i/{ x — y )^ Ans. Vix—yy. 8. What factor will rationalize 1/ {x-\-y—z)^ ? Ans. \/(x-{-y — zY, CASE 2. TO RATIONAI^IZE) A RADICAI, BINOMIAI,. Hiile. — Change the connecting- sign of the correspond- ing binomial and multiply the given binomial by it. (This rule is dependent upon the principle, "the product of the sum of two quantites multiplied by their difference is equal to the difference of their squares.") Kxamples: 1. Rationalize i/x-\-\/y. We have here the sum of two quantities. If this sum be multiplied by their difference, (i/^+i/5')X(l/^"" ■\/^y)y the result is the difference of the squares of -[/x and ■\/yj or x—y, Ans. 2. Rationalize 1/^ — i/^3j)/. Multiplying {i/Zx-y/Zy) by {y'^+^/Sy) the re- Btilt is 2x — 3y, Ans. 14 ALGEBRA. 3. "What factor will rationalize 3i/a— 2v^. Ans. 3i/'^-f2i/^. 4. What will rationalize ■/«+"/ 3^? Ans. Va—VJd? 5. Required a factor that will rationalize a-j-Vd. Ans. a — Vd. CASE 3. TO RATIONAI^IZE THB) NUMERATOR OR THE DENOMINATOR OE A RADICAI, FRACTION. Rule. — Multiply both numerator and denominator of the fraction by that factor which will rationalize the re* quired term. Examples: fn 1. Rationalize the denominator of -7^. Vn m mXVn mVn Operation : — -7= =-7= -^^= ~ V n V«Xl/ w ^ ' /— 2. Rationalize the numerator of — - Ans. ;„ .- . 10 10-/a 3. Rationalize the numerator of . Ans, 4. Rationalize the denominator of X Va—Vb Ans. ^^^«+^^' 5. Rationalize the denominator of a — b Va—Vb Va-\-Vb Ans. ^-2^^+& 6. Rationalize the denominator of 15 a — b a ' a-\-Vb' Ans. ^11^. a^ — b ALGEBRA. Va 7. Rationalize the numerator of Va—Vz' a Ans. 8. Rationalize the numerator of a—Vc>a Va-^-Vb Va ' a — d Ans. -Vad RADICAL EQUATIONS. In a Radical Equation the unknown quantity is affected by the radical sig-n or by the fractional exponent. TO SOLVE A RADICAL EQUATION. Rule.— (1) Arrange the terms so as to have the radi- cal alone on one side. (2) Raise both sides to a power corresponding- to the root of the radical. Kxamples: 1. Given "/x-(-3=9, to find x. Operation. — Vx-{-3=9. Transposing. Vx=9—3. Hence, Vx=6. Since 6 is equal to the square root of x, the square of 6, or 36, must equal the square of Vx, or x. Hence, aj=36. 2. Given Vx^3ad=7ab, to find x. Transposing. Vx=7ad — 2ad. Or, Vx=4ad» Squaring, x=16a^b^. Ans. 3. Given Vx^l2-\-Vx—6, to find x. Operation. Vx-\-l2-^\/x=6. Squaring, cc+12+2t/x2 + 12x4-.r=36. Transposing, 2\/W^\^V2x=2A—2x. Dividing by 2, V x^ -{- \2x=12~-x. Squaring, x'^-\-12x=lAA — 24x-\-x^. Transposing and uniting, 36x=144. Dividing by 36, x=4. Ans. 16 ALGEBRA. 4. Given fx-\-2=2, to find x. Ans. 6. 5. 2v''x— 2+7=9, to find x. Ans. 3. 6. 1 / ^ =5, to find X. Ans. 225. 7. #"05—7=3, to find x. Ans. 20. 8. 3^a;4-5=9, to find x. Ans. 22. 9. 5-./- =15, to find a;. Ans. 27. 10. 2i^cc— 5=4, to find x. Ans. 21, 11. t/4 + 5x— t/3x=2, to find x, Ans. 12. 12. T/fla;-|-2a<5» — a=d, to find a;. Ans. — - — • ^ 4^2 13. \/a-\-x-\-v''a — x=v^ax, to find x. Ans. 214 * i/x+28 V^x+SS ^ ^ A ^ 14. -7Z = -7= , to find X. Ans. 4. V x-{-A vx +6 X ax t/'^rv. . 1 15. — 7^^=11^, to find X. Ans. V^X X ' 1 — ^' NoTB.— In Nos. 14 and 15, first clear the equations of fractions. 17 AI^GEBBA. (FIFTH PAPER.) OUTLINE QUIZZES. 1. In extracting the square root of a polynomial, how form the complete divisor? 2. What is the square root of 4x^-\-24x+Aax-\-36-{-12a+ a«? 3. How form the first complete divisor in extracting cube root? 4. How form the second trial from the first complete divisor? 5. Find the cube root of S4xy^-{-27y^-\-8x^+36x^y. 6. How can you find the fifth root of a^+5a*d+10a^^-^ 16a;8 7. How will you find the fourth root of 5251^^ 8. How solve an incomplete equation of the second degree? 9. Find the value of y in jy2+2qy==12S. 10. What is a radical quantity? 11. What does (4a;2)V2 mean? 12. When is a radical a surd? 13. What is usually embraced in the term Calculus? 14. Simplify i/l28a*6«. Simplify (48x^)72. 15. Place 2 abv^ — 3c in the form of a simple radical. 16. Reduce to equivalents of the same degree F 4 and i/lO. 17. Reduce to its simplest value (1^+1^128)— (1^32— 1/5O). 18. Given, .1^^= .— , to find x. X V X 18 jm FIRST GRADE— NUMBER SIX. Teachers' Home Series L. B. McKENNA, M. A., II. D., President and Director. Quincy School of Correspondence, Quincy, Illinois. ICOPYRIGHT QUINCY BUSINESS COLLEGE 1902. BOTANY. (sixth papkr. ) spermatophytes. There are two great classes of Spermatophytes— those which produce naked seeds in the axils of scales (pines, spruces, etc.) and those which produce seeds enclosed in pis- tils. The former are called Gymno sperms (naked seeds) and the latter Angiosperms (inclosed seeds). Gymnosperms. — In the Gymnosperms the different tissue systems are highly developed. The xylem portions of the fibro-vascular bundles are closely compacted into a single dense, woody cylinder, which is surrounded by a looser mass of tissues, the so-called bark, composed of the united phloem portions of the bundles. There are no true tracheary cells in the xylem forming ducts for the carrying of water, except a few small spiral vessels, which are formed at first in young plants, Instead, the tracheary tissue made up of tracheids, meaning "trachea-like," is well developed. Th»**e tracheids are elongated cells with tapering ends overlapping, but not forming a continuous series. Their walls are pitted in a way which is character- istic of the Gymnosperms, the pits appearing as two con- centric rings, called ^'bordered pits." When the walls of the cells break down at these points, there is easy comuni- cation, and water can pass up the stem from cell to cell by means of these openings. In the Pine we find two kinds of spores, ( a ) microspores in microsporangia in the axils of microsporophylls, which are grouped into strobili, (b) megaspores in the axils of megasporophylls, which are grouped into other strobili. The strobili are commonly called cones; the microsporo- phylls, stamens; the microsporangia, pollen-sacs; the BOTANY. microspores, pollen-grains; the megasporophylls, car- pels; the megasporangia, ovules, and the megaspore, embryo-sac, because the embryo develops within it. A megasporangium or ovule consists of a main body, the nucellus, sending out from its base an outer mem- brane, integument, which grows up around the nucellus, inclosing it with the exception of a small opening at the top ( foramen or micropyle ). Imbedded within the nu- cellus is the embro-sac or megaspore. As soon as the mesgapore is produced, it germinates in situ and produces a prothallium similar to that of Selagi- nella, except that it is entirely included within the walls of the megaspore. This prothallium is composed of nutritive tissue, and is commonly known as the endosperm. At At the margin of the prothallium, nearest the micropyle, regular fl.ask-shaped archegonia appear. As these arche- gonia are inaccessible to swimming spermatozoids, a spec- ial method of approach must be adopted by the spermato- Zoids. The microspore or pollen-grain is at first a single cell, but by the time it escapes from the anther, it is a sev- eral-celled body, but must, be transferred to the entrance of the micropyle before it can complete the process of ger- mination. In the spring of the year the two kinds of cones, males and female, or staminate, and pistillate, may be found, the female cones erect with scales separated to re- ceive the pollen from the staminate cones. After the pol- len has been received, the pistillate cones becomes inverted, and the scales close up tight, so as to shed water and re- main in this condition for about eighteen months, or until the seeds are ripe. Before the microspore has reached the entrance of the micropyle, it has produced a rudimentary prothallium like that of Selaginella, consisting of one or two cells. The BOTANY. antheridium makes up remainder of the g-ametophyte, and consists of a large cell called the wall cell, and a small one called the generative cell. The g-enerative cell di- vides and forms two small cells, and one of these again di- vides and forms two small cells called male cells,, which lie within the large wall cell. When the pollen-grain falls in a favorable position near the micropyle of an ovule, the wall cell develops a tube (pollen tube), which grows down through the nucellus of the ovule, carrying with it the male cells to the archegonium. One of the male cells fuses with the egg in the archegonium and produces an oospore. The oospore now develops into the embryo, and a hard seed coat forms on the outside of the megasporangiun^or ovule, and we have the seed. If there are several archegonia, several embryos may begin to develop, but usually only one survives. To sum up the life history of the Pine: (1 ) a seed germinates and grows into a pine tree (sporopliyte); (2) this sporophyte produces two kinds of strobili (cones), staminate or male strobili, and pistillate or female strobili; (3) the staminate strobili consist of microsporopliylls, and the pistillate strobili consist of megasporophylls; (4) the microsporophylls bear on their under sides mlcro- sporangia (pollen-sacs) and the megasporophylls bear on their upper sides megasporangia (ovules); (5) the micro- sporangia contain microspores (pollen-grains), and the megasporangia contain megaspores (embryo-sacs); (6) microspores are transferred by the wind to the micropyles of the megasporangia (this process is pollination); (7) the microspore develops a pollen-tube, which penetrates the nucellus of the ovule and reaches the neck of an arche- gonium which has been developed from the megaspore by germination within the megasporangium; (8) one of the male cells (spermatozoid) unites with the egg cell of the 5 BOTANY. archegonium to form an oospore (this process is called fer- tilization); (9) the oospore develops immediately into an embryo, and inclosing seed coats form, producing the seed. It should be born in mind that the Gymnosperms are characterized by (1) not having the seeds enclosed in an ovary; (2) the formation of the endosperm (prothallium) before fertilization; (3) the development of rudimentary archegonia from the endosperm, and (4) the division of the contents of the pollen-grains, forming a rudimentary pro- thallium, before the growth of the pollen-tube. Under the Gymnosperms are included the Cycads, Pines, Spruces, Hemlocks, Yews, Junipers, Cedars, Cypresses, etc. Angio sperms. — This group includes all the plants commonly known as ''flowering plants," except those men- tioned under Gymnosperms. The epidermis does not differ markedly from that of the Gymnosperms and Pterido- phytes. The principal differences are that, as a rule, the stomata are more numerous and the trichomes more abund- ant and varied in form and structure. The fibro-vascular bundles are of the so-called "collateral" class — that is, each bundle in cross-section presents more or less distinctly two sides, viz: xylem and phloem. Two kinds of fibro-vascular bundles are found — the open, characterizing the Kxogens, and the closed, charactering the j^ndogens. The struc- ture and disposition of these bundles have already been discussed under "Stem Structure." The various forms of flowers and their structure have been discussed under the head of "The Flower." It re- mains to homologize the parts with those of lower forms and to describe the process of reproduction. The stamens are microsporophylls; the anther is the region which bears the microsporangia, which are usually four in number and imbedded beneath the epidermis, two BOTANY. on each side of the axis. When they reach maturity the paired sporangia on each side unite, forming two spore- bearing cavities (pollen-sacs) instead of four. The con- tained pollen-grains are the microspores. The simple pistils or carpels are the megasporophylls, and the ovules are megasporangia. The ovules are similar in structure to those of Gymnosperms with nucellus, integ- ument, micropyle and embryo-sac (megaspore), except that there are often two integuments. The mature pollen-grain is a single cell, and consists of a mass of protoplasm mixed with oil-drops, starch granules, etc., surrounded by two investing membranes — an outer hard and firm one (the extine), and an inner tliin and del- icate one (the intine). When the pollen-grain germinates, there is formed within it the simplest known gametoyhyte. No trace of the ordinary nutritive cells (rudimentary pro- thallium of Gymnosperms) remains, but the whole structure seems to represent a single antheridium. The one-celled pollen-grain divides, forming a large wall-cell and a small generative cell. L rated from the others. The legs have usually four toes, although a few birds have only three, and the ostrich only two toes. The feathers always extend down to the heel of the bird, the long bare portion extending thence to the toes is the ankle, or tars us » The lungs of birds are more complex than those of ba- trachians and reptiles, being divided into numerous small spaces by membranous partitions which greatly increase the amount of oxygenating surface. They are not lobed as in mammals nor do they hang free in the body cavity but are fastened to the ribs and spine. The air-sacs and bones can be filled with air from the lungs by means of the communications already mentioned. The vocal chords, instead of being situated in a larynx at the beginning of the trachea are located in a dilation of the lower portion of the trachea just where the two bronchial tubes branch off. This is sometimes called a lower larynx or a syrinx. The circulation of birds is very active, they have the hottest blood and the quickest pulse of all animals. This necessitates a well-developed four-chambered heart. The partition between the right and left sides is complete so that there is no mingling of venous and arterial blood as in reptiles and batrachians. 8 ZOOLOGY The brain is larger and more highly developed than in reptiles but the cerebrum is small and has no convolutions as in mammals. The optic lobes are of great size, rela- tively, compared with those of other vertebrate brains, and there is no doubt that the sight of birds is very keen. The eyes have movable lids and in addition at the inner angle of each a delicate, translucent nictitating* mem- brane, which can be drawn over the ball. The senses of smell and taste are apparently not very keen, as there is no extensive development of taste buds in the mouth, or of olfactory membrane in the nasal passages. Hearing is un- doubtedly well developed, although there is no external ear other than a simple opening concealed by the feathers. It is supposed that robins can hear worms crawling in their burrows, for they are very successful in finding them as they hop through the grass, stopping now and then and assuming a listening attitude. Life History. — All birds are hatched from eggs which undergo a longer or shorter period of incubation outside the body of the mother. The eggs vary greatly in size and color markings, and in number, from one, as with many of the Arctic Ocean birds, to six to ten, as with most song-birds, or from ten to twenty, as with some of the pheasants and grouse. Incubation lasts from ten to thirty days among the more familiar birds, to nearly fifty among the ostriches. The temperature necessary is about 100° F. Among most polygamous birds, like the chicken, the male takes no part in incubation or care of the young. Among monogamous birds, however, the male helps to build the nest, takes its turn at sitting on the eggs and bringing food to the young. The young, when ready to hatch, break the egg-shell with the "egg-tooth," a horny, pointed projection on the upper mandible, and emerge either blind and almost naked, de- 9 ZOOLOGY pendent upon the parents for food until able to fly ( altri- cial young), or with eyes open and with body covered with down, and able in a few hours to feed (precocial young). ClyASSlFlCATlON Olf BIRDS. The class Aves is usually divided into numerous orders, varying- according- to the opinions of various zoologists, but the following scheme of classification has been agreed upon by most American ornithologists. Ratitae ( ostriches, cassowaries, etc. )— They are characterized by having the breastbone flat instead of keeled, wings reduced so that flight is impossible, and the legs long and strong and used for running. The eggs, which are six inches long, are laid in the sand and incu- bated by the male, or by the hot sun. Pygopodes (loons, grebes, auks, etc.)— These are aquatic birds with webbed or lobed feet, and legs set so far back that walking is difficult. They are excellent swim- mers and divers and fly well. liongipennes (gulls, terns, petrels and albat- rosses). — These are mostly maritime water birds with webbed feet and very long and pointed wings. Steganopodes (cormorants, pelicans, etc.)— These are water birds, with full-webbed feet and prominent gular pouch, which is used as a sort of dip-net to catch fish. They are better runners than flyers. Answeres (ducks, geese and swans ) are familiar to all, and are characterized by more or less flattened bills, with tooth-like processes along the edges. These processes, or lamellae, serve as a strainer to separate food from the mud. Herodiones (ibises, herons and bitterns). —These are tall, long-necked wading birds. 10 ZOOLOGY Paludicolse (cranes, rails and coots).— The cranes are large birds with long- legs and neck, and part of the head naked or covered with hair-like feathers. The rails are smaller than the cranes, with short wings and very short tail. The American coot, or mud-hen, is a familiar pond bird all over temperate North America. Limicolae (snipes, sandpipes, plover, etc.)— This is a large order of rather small shore-birds, with slender legs', slender bills and round heads. They are waders to a certain extent, and most of them are much hunted as game birds. Gallinae (grouse, quail, pheasants, turkeys, etc.) — Domestic fowls, as the hen, Guinea fowl, peacock and pheasants, belong to this order. They all have short, heavy, convex and bony bills, adapted for picking up and crushing seeds, which compose their principal food. Their legs are strong, but not very long. They are mostly ter- restrial in habits, and are sometimes known as Rasores or * 'scratch ers." Columbse ( doves and pigeons) are similar to the Gallinae, except that the base of the bill is covered by a soft swollen membrane or cere, in which the nostrils open. Raptores (eagles, owls and vultures).— These are the "birds of prey," and compose one of the largest orders. In all the bill is heavy, powerful and strongly hooked at the tip; the feet are strong, with long curved claws fitted for seizing and holding living prey. The vultures and buz- zards, however, have shorter claws and live upon carrion. Psittaci (parrots).— Only one species of parrot is found in the United States— the Carolina paroquet; about a foot in length, green, with yellow head and neck and orange-red face. 11 ZOOLOGY Coccyges (cuckoos and kingfishers). — This is a small group of birds without any definite bond of union. The commonest members of the group are the yellow-billed and black-billed cuckoos or "rain-crows," long-tailed, slen- der, drab birds, which lay their eggs in the nests of others; and the belted kingfisher, a thick-set, heavy-billed, ashy blue-and-white bird, familiar along streams. Pici (wood-peckers).— The wood-peckers have strong stout bills fitted for driving or boring into wood, and long, sharp-pointed and barbed tongues, fitted for spearing in- insects. The feet have two toes turned forward and two backward; the tail feathers are stiff and sharp-pointed and help support the bird as it clings to the vertical side of a tree trunk. Macrochires (wliippoorwllls, chimney-swifts and humming birds). — All the birds of this order have long-pointed wings and are remarkable flyers — catching their food on the wing, or in the case of the humming, ex- tracting it from flower-cups. Passeres (the perchers).— Nearly half the North American birds belong to this great order. It includes all our common song-birds and a great majority of the birds of the forest, field and garden. MAMMAIvIA. The mammals constitute the highest group of animals, including man, the monkeys and apes, the quadrupeds, the bird-like bats and fish-like seals and whale. The name mammalia is derived from the mammary or milk glands possessed by the female for the purpose of nourishing the young after birth. Mammals differ from the fishes and batrachians and agree with reptiles and birds in never hav- ing external gills. Lt Clermont, in France, at which Pope Urban himself was one of the chief speakers. It was an enthusiastic audience, and thousands pledged themselves to go forth to rescue the Holy I^and. The fol- lowing summer was the time appointed. The first to set out were about eighty thousand persons, under the leadership of Peter, the Hermit, and Walter, the Penniless. They were surprised by the Turks and almost all killed. The main body consisted of about three hundred thousand men with the following noted leaders: Raymond, Count of Toulouse; Hugh of Vermandois, brother of the GENERAlL,^HISTORY. I king of France; Robert, Duke of Normandy; Godfrey of Bouillon; Bohemond, prince of Otranto, and his nephew Tancred, the "mirror of knighthood." They captured Ni- caea in 1097 and Antioch in 1098, and, after many hardships and adventures, Jerusalem in 1099. There followed a ter- rible slaughter of the Saracens, and then the soldiers took possession of all their property. As soon as possible, they organized a model feudal state, which they called the I^atin Kingdom of Jerusalem. Godfrey of Bouillon was placed at the head, but the only title he would accept was that of **Baron of the Holy Sepulcher." Shortly afterwards (1099) an immense army of Mohammedans was collected and ad- vanced against the little Christian army on the plains of Ascalon, not far from Jerusalem. Strange to say, the Christians were victorious. This is the last great battle of the First Crusade. After it, many of the warriors returned home and aroused those who had not gone by the wonderful tales they had to tell. The position of the little kingdom continued to be a precarious one, yet they managed to extend their boundar- ies in every direction. About this time, the orders of Hos- pitalers and Templars were formed. The objects of both were the care of the sick and wo'Unded crusaders, the enter- tainment of Christian pilgrims, the guarding of the holy places, and ceaseless battling for the cross. The seizure of Kdessa in 1144 by the Turks, again roused Western Europe. The second crusade was preached by Bernard of Clairvaux (1147) and led by L The Indian country has no g-overnor and no legislature. Under the direction of Congress and United States laws, the President, through agents, cares for the Indians and | thus comprises the executive department of the Territory. There are special courts establishad under the author- ity of the United States government. AI^ASKA. Alaska has no Legislature, nor is it represented in Congress. The government comprises a Governor, a Court, District Attorneys, Marshals and Commissioners. Special laws have been enacted by Congress for the gov- ernment of Alaska. Alaska was purchased by the United States from Rus- sia in 1867, for $7,200,000. Its area is 577,390 square miles, or more than twice the area of Texas. CIVIL GOVERNMENT OUTLINE QUIZZES. (SIXTH PAPER.) 1. Why are the first ten amendments called the Bill of Rights? 2. What rights are enumerated in the first four amendments? 3. How are offenses tried in the Army and Navy? 4. What suits at common law may be tried by a jury? 5. What does the jury determine? What the judge? 6. What courts are not governed by common law? 7. What is said concerning excessive bail? 8. What did Alexander Hamilton say in regard to a Bill of Rights? 9. When did the Knglish Parliament drd^ up a Bill of Rights? What does it show forth and enumerate? 10. Can a citizen bring suit against a state? 11. What does the XHI. Amendment set forth? When were the slaves freed? 12. What Article and Section define citizenship? Who are citizens of the United States? 13. What debts incurred by the Civil War were to be paid? What not to be paid? 14. What Amendment gave the negro the right of suffrage? 15. May a State disqualify a citizen to vote? 16. How are the organized territories within the United States governed? 13 DIDACTICS. (SIXTH PAPER.) In this, the last paper, it shall be our purpose to con- sider first some things that have to do with the health as well as the progress of the children in school and then to discuss briefly some of the so-called modern things in our Educational system. Ventilation. — With a room filled with foul air we are sure to find drowsy, indifferent children. Such air is filled with germs which of necessity pass into the children's systems. The children have headaches and cannot pos- sibly do good work. This is the condition to-d^ in many school rooms all over our country. Teachers need to be on a sharp look out for it, inasmuch as being constantly in the com they are not likely to become aware of its presence. Superintendents and principals find it a constant source for criticism. One would scarcely believe that in this day and age buildings would be built without giving due attention to ventilation, yet such is the case. I visited a building to-day, not mare than six years old, heated with a furnace, but not any provision made for fresh air, except the windows. I entered a room in which were three east windows open. The wind was blowing in directly on the necks and backs of the children. I stood for a moment or two to see if the windows would not be closed, but find- ing that they were permanently open, I closed them. In case one is teaching in such a building, the best method of ventilating is to place a three or four inch board under the window, making it tight below, but admitting the air between the upper and lower sashes. This permits the fresh air to come in and at the same time does not let it blow DIDACTICS. directly on the children. In case this is not sufficient, it is well to open the windows during- a breathing- or physical culture exercise. Boards of Education should have the importance of school room ventilation continually im- pressed upon them, for in no building is pure air more essential than in a school building, where so many child- ren are housed together^for hours at a time. It becomes, then, the duty of the teacher who ought to know best about this fact; to make the importance of this question known. Breathing. — Few people lake use of more than half of their lung space in breathir ^. The result is that not being used, the lungs becomes useless and when disease comes it is not easy to combat it. The health of a child not only demands that it have pure air, but that it use this air in breathing. Hence it comes that a deep breath- ing exercise in which the child is taught to expel all the air from its lungs and to fill them with pure air should be placed on the school program at frequent intervals. The child should be taught to use as much of its lung space as possible in its regular breathing. This being done, a longer lived and healthier race will result. Cleanliness. — The health of the child and its play- mates demands that it be cleanly in person and wearing apparel. This is a problem that is difficult to solve,lbut it must be solved. Water is free and soap and towels are cheap. In some cases a bath may be necessary at the school room or some convenient place. In most cases children can be taught to bathe themselves at home. Slates. — It is scarcely necessary to speak of the use of slates. They have passed out of all good schools and can only be found in rural districts. As a means of spreading gerjn^ they were very effective. Moreover, slates are 2 DIDACTICS. noisy, nerve wrecking devices. Common newspaper paper is now taking- the place of them in most schools. Since the paper, if bought in large quantities, is very cheap, it is customary for Boards of l^ducation to buy it and furnish it the same as crayon. Wraps. — Another thing to be watched by teachers is the use of wraps. Many children are exceedingly careless about going out in all sorts of weather without hat, cap or cloak. Others play hard, become heated, come into the school room and without removing their wraps sit down before an open window. In either case there is much dan- ger of taking cold. Children should be taught to be care- ful about such things and the teacher should watch over them as a mother watches over her children. In this re- spect the teacher is truly in "loco parentis" and should not fail in her duty. Again it often happens that children reach school with wet feet or wet garments, hav- ing been caught in a rain. In such cases the health of the child should receive the first consideration and if it is im- possible for the clothes to be dried at school, the child should be sent home where it can receive the necessary attention. Preparations for Sickness.— "In time of peace prepare for war" is an old saying which may well be ap- plied to school work and be changed so as to read **in time of health prepare for sickness." In other words, it is well for the teacher to have on hand some simple remedies which can be used in cases of sudden illness. This is especially important in country schools where the children are not near their homes and medical skill not at hand. Frostbites, sprains, bruises, bee stings and the like can be treated by the teacher and the children relieved of much 3 DIDACTICS. pain. In case of illness or serious accident the child's parents should be sent for, or the child taken home with- out delay. SOME MODERN THINGS IN EDUCATION. Within the memory of those now teaching the school course consisted of reading, writing and arithmetic, spell- ing being included under the head of reading. Geography was next added, being taught first by the old singing method. Then came history, physiology, drawing, music, manual-training, domestic science, nature study, etc. Doesn't this look a little like making the school course top heavy asks the conservative citizen, while the poor over-worked teacher groans and sighs, but dares not say a word for fear of being called not up-to-date. In answer to the above charge I would like to say that the course is not made top heavy but only richer, the work of the teacher is not made harder, but broader and deeper culture is re- quired of those seeking admission to the teaching profes- sion. I lions, if necessary, and transpose the terms so that the unknown quantities shall be in one member of the equa- tion and known quantities in the other. Then, by com- bining similar terms, etc., reduce to the form «*=«, and extract the square root of both members. The sign of the root may be positive or negative. That is, pure quadratic equations hav« two roots, which are the same numerleaUy, ALGEBRA. but they hare opposite signs. For example, \/^=s±x, since the square of H-a; and of — x is equally x^. In the same manner, i/'^4= ji 2, since the square of-f 2 and of 2 is equally 4. 3a;2 /J.2 1. Find the value of x in -x +S=-7--f 25. 3/j;2 /J.2 S01.UT10N. — Given -^-\-5=-r--{-2S. Clearing- of fractions, 6a;2+20=a;2-fl00. Transposing, etc., Sa;2=80. Removing coefficient of x^, x2=l6. Extracting square root. a;= .t 4. Atjs. Find the value of x in the following: 2. 4x2+7=203. 3. 7x2 4-9=5x2-1-137. 4. 16x2—13=13x2—1. 5. x2-f-72=3x2— 266. 7x2 6. -^+27=2x2+11. ^ 5x2+4 3x2—12 V .5 X X 84 ^- 7=3~¥* 9. X 12 14x 72 3~"x~ 7 ~x' 10. 16x2—22=5x2+77. 11. (X— 1)2=26 -2x. , ^ 5x2+151 12. X2— 7= y . 13. x(3x+7)=7x+3. 3 3 _ 3_ ^^' x + l""x— 1~"~40* x2 15. x2+18=Y+30;^. 16. 2i/x2+9=i/5x2— 85. Ans. ^=±7. Ans. ^=±8. Ans. ^==±2. Ans. ^=±13. Ans. ;ir=±8. Ans. x—±A. Ans. ;r=±21. Ans. x=±6. Ans. x=±3. Ans. x=±5. Ans. X— ± 10. Ans. x^±\. Ans. ;r=9. Ans. x—±h. Ans. ^=±11. Ans. x=±5. ALGEBRA. X — 2 x-\-2 5x2—7 3x2— 15 x^—7 7a;g— 19 19. —2— 4""~~~3~= 4y2 • ^^^- ^=±7. Affected or Complete Equations.— Those which contain both the first and second powers of the unknown quantity, and a known term, must be changed into a simple form by cancellation of the first powers; or, if this cannot be done, the operation of "completing- the square" must be resorted to. An illustrative example of this class is given, and the rule for performing it follows: x^—16x=Z6. (1) the^liwi x2-16a:+(64)=36+64=100 (2) (Adding the square of %, of 16 ). ^ Extracting 3j_8— + 10 I'W the Sq. Root, i*^— »— x^". (d) Reducing, a;=8-|- 10=18. (4) Or, a;=8— 10= —2, In this example, equation is affected, and the value of % cannot be found until rendered an equation in which both members are perfect squares. This is effected by one of two methods, usually called the Hindoo and Arabic modes. We have used the latter method by squaring one-half the coefficient of x and adding it to both members. Rule.— ( 1 ) Reduce the equation to its simplest form. (2) To both members add the square of one-half the coefficient of the second term — the first power of the un- known quantity. (3) Extract the square root of the new equation, and reduce the result. Find the value of x in the following: 1. a;3~8a;=— 15. Ans. a;=S or 3. 2. x24-12x=64. Ans. a;=4or— 16. 3. 5x2-1- 20x=22S. . Ans. x~S or —9. ALGEBRA. 4. 7x2 — 42a:=sO. Ans. Xes:6 or 0. 5. ~ — 2x=sO. An*. »=s=8 or 0. An». xsBt? or — ji. 7. ap^— 3x=^-fl. Ana. »=4 or— X- Ana. «=b6 or — <3}. Ana. 0s=5 or — |f^. ANOTHER M^HOD. 1. Given a;«-f 4x=12, to find x, MoD«i, Operation: aj»+4x=12. -2±4. x=2 or — 6. Aim* 2. Given c*— 12ate=45. OP9&ATIOK: »■ — ^12x=45. » =.6d=i/4S-f3d. x=:l5 or — 3. Ans. In these operationa we have prefixed one-half the co- efficient of Xy with the sign changed to plus or minus (±\, the square root of the integral term plus the square of half the coefficient of x. This is simply a shorter waj of making the same combinations of the same terms as when we complete the squares bj the preceding method. Solve all the foregoing equations in the same waj^alao aolvx^-\-2x=33, to find x. Ans. x=3 or — 3f. 5. Given, x2 — 3x=4, to find x. Ans. x=4 or — 1. 6. Given, Sx^— 5x=78, to find ;tr. Ans. ;r»=6 or — 4|-. 7. Given, ;ir2_i7;;^_ _52, to find x. Ans. ;r=13 or — 4. 8. Given, 7x^—9jt:= —2, to find x. Ans. x=l or — f. After some practice it will be found that these three m thods are equally applicable to the solution of anyequa- ALGEBRA. tion in affected quadratics, though each has its advan- tages in particular problems. It will be seen that the second is the shortest method and that the advantage of the third, is in the avoidance of fractions in completing the square. The first method, however, should be fully mastered, as it the most natural. Note.— It should be observed that an equation is in the quadratic form if it contains but two powers of the unknown quantity and the exponent of one power is just twice that of the other. Hence equations not of the second degree, but of the quadratic form, may be solved in the same manner as quadratic equations. 1. Given, x*-\-2a:^=24, to find x. Multiplying by 4, Ax^^%x^=96, Completing the square, 4x^-{-8x^-{-A =100. Extracting square root, 2;ir2_j_2= ± lo. Hence, 2^2_8 or— 12: And x^=4 or — 6. Therefore, x= ± 2 or i/ — 6. Solve the following: 2. X*— 2x^=4. Ans. x= ± 2 or i/^. 3. x^—x^=3x^-{-621. Ans. x=S or l/^^^^. 4. 3x*—S00=2x^-\-SxK Ans. ^=±Sor i/— 20l 5. 6+8=9ji;3.- Ans. x^2 or 1. RADICAI, EQUATIONS. An equation involving radical expressions may be solved by first clearing of radicals. 1. Solve i/2^ + 5— 1/^^4-2= x/x—1. Squaring both sides, 2x-\-S—2\/i^2x-\-5) {x-\-2)-{-x-\-2 =x—l. Transposing and combining, 2x-\-S=.2x/ {2x-\-S){ x-\-2 ) . Dividing by 2 and squaring, {x-\-Af=z{2x-\-S){x-\-2), Expanding,cc2_|_8a;-|-i6=2ic2+9a;+10. Transposing and combining, x^-\-x=6. Hence, 4x2f 4x+l=25. ALGEBRA. Extracting Square Root, 2;ir+l=±5. Therefore, x=2 or — 3. Ans. Solve in the same manner the following: 2. i/3x+4+i//x+9=:i/lli+4. Ans. x=7 or ~^. 3. \/x—\/ x—S=v^x—S. Ans. a;=9 or — \. 4. v^^ —7 —v^ ic— 16 =:3. Ans, a;=16. 5. 1/^ 3a; + 1 — 2x/^a; —1=i/ax. Ans. x=lor — 1|. PBOBI^BMS. 1. Find two numbers such that their sum is IS, and their product is 56. Note.— I(et x= one number and 15—* the other. Then, by the conditions of the problem, x[lS — »), or, \Sx — x2=S6. Transpose, complete the square, and solve. Ans. x=8, 15— a;=7. Hence, 8 and 7 are the numbers. 2. The sum of two numbers is 16, and their product is 63. What are the numbers? Ans. 7 and 9. 3. A man bought a number of barrels of apples for $60; if he had bought 10 more barrels for the same sum» they would have cost $1 less per barrel. Find the number of barrels and the price per barrel. Note. — I No. of barrels: then — =price per barrel, 60 60 By the conditions of the problem — ri7r= — — 1. Clear •B-j~lU X of fractions and solve. Ans. 20 barrels, $3 each. It will be observed in the solution of this and other problems, that while * is shown to have two values, only that value is accepted in the re- sult which is reasonable to the conditions. For instance, in the solution of the above problem, x is found to have the values 20 and — 30. It Is not reasonable to suppose that "30 barrels less than none," were bought. In other words, — 30 does not satisfy the condition of the problem, althoug-h it may satisfy the conditions of the equation. 4. Three times the square of a certain number is equal to thirteen times the number diminished by 4. Re- quired the number. Ans. 4 or ^. ALGEBRA. 5. A man divided $15 equally among a number of per- sons; if there had been two more persons each would have received $2 less. How many persons were-there? Ans. 3. 6. Divide the number 40 into two such parts that their product is 279. Ans. 9 and 31. 7. Find two numbers whose sum is 63, and their pro- duct 9S0. Ans. 25 and 38. 8. A rectangular field is enclosed by a fence 480 rods in length. If the area of the field is 12800 square rods, what are its length and breadth? Ans. Length, 160 rods; breadth, 80 rods. Note.— Let *= the length of the field, and 240— a? the breadth; then .f(310— *')=12800. Solve. 9. What are the length and breadth of a field whose area is 3200 square rods, if the fence enclosing it is 240 rods long? Ans. Length, 80 rods; Breadth, 40 rods. By selling lamps which cost him $20, for $4.80 each, a merchant gained the cost of one lamp. How many lamps were there? Ans. 5. Note.— Let x= number of lamps; then 4Y6*> the selling price of 2 the lamps, less — •, the cost of 1 lamp, equals 20, the cost of all the lamps. Make the equation and solve. 11. The sum of two numbers is 6, and the sum of their reciprocals is ^4 • What are the numbers? Ans. 4 and 2 Note.— Let x=* one number and d—x^ the other. Then, i ,J_^i Solve. x'^d—x 4 • 12. The sum of two numbers is 7, and the sum of their reciprocals is Vi2« What are the numbers? Ans. 4 and 3. 13. The sum of the squares of two consecutive num- bers exceeds their product by 13. What are the numbers? Ans. 3 and 4. Note.— Let x== one number; then Ar+1= the other. Make eqiiation and solve. ALGEBRA. 14. The square of the sum of two consecutive numbers exceeds the sum of their squares by 60. What are the num- bers? Ans. S and 6. 15. The difference of the cubes of two successive odd numbers is 98. Required the numbers. Ans. 3 and S. Note.— *=oae number, and x+2, or *— 2, = the other. Make the equation and solve. 16. The area of a square may be quadrupled by increas- ing its length by IS feet and its breadth by 6 feet. Find the side of the square. Ans. 10 feet. 17. The perimeter of a rectangular field is 72 rods. Its area is 323 square rods. Find its dimensions. Ans. lyength, 29 rods; breadth, 17 rods. 18. The denominator of a certain fraction exceeds the numerator by 2. If 5 be added to both numerator and de- nominator, the fraction will be increased by Vs. What is the fraction? Ans. %. 19. In an orchard of 40 trees, there are three more trees in a row than there are rows. How many rows are there and how many trees in a row? Ans. 5 rows and 8 trees in a row. 20. Find two numbers, the "product of which is 20, and if 2 be added to the less, and 2 be subtracted from the greater, the product will be 18. Ans, 4 and 5. 21. Divide the number 25 into two such parts that their product shall be 10 times the greater. Ans. 15 and 10. 22 The difference of two numbers is 13, and their pro- duct is 30. What are the numbers? Ans. 2, or— 15, one; 15, or —2, the other. 23. The difference between two numbers is 12, and their product is equal to the cube of the less number. Find the numbers. Ans. 16 and 4. ALGEBRA. 24. If to a certain man's age you add its square root and seven years the sum will equal 49 years. How old is he? Ans. 36 years. 25. A and B together can do a piece of work in 6 days, and it takes B 5 days longer to do it alone than it does A. In how many days can each do it alone? Ans. A, 10 days; B, IS days. NoTR.— Let ;r=» number days it takes A alone, then A?+S=the num- ber of days it takes B alone; hence, —4- — -n.=T. Clear of fractions and solve. SIMUI^TANEOUS QUADRATIC EQUATIONS. When the sum of the exponents of the unknown quan- tities is the same in every term which contains them, an equation is said to be homogeneous. For example, x^+j. =5, and x^-\-2xy-\-y^=\2)^ are each homogeneous equations. An equation is said to be syininetrieal when the un- known quantities are involved to the same degree. To illustrate, the equations x^—y^=Zy and x^y-\-xy^=fi^ are symmetrical. In simultaneous quadratic equations containing two unknown quantities, there are three classes of examples which may be solved by applying the rules of quadratics. CASE I. TO SOI,VE SIMUI.TANEOUS EQUATIONS WHEN ONE OF THE EQUATIONS IS SIMPI^E AND THE OTHER A QUADRATIC EQUATION. 1. Given x'^-\-y^=:5f and x-\-y=3f to find x and>'. Soi'=1 or'2. Either pair of values will satisfy the con- ditions of the original equations, but x=2, y=2, will not do so, neither will ic=l, jv=l, satisfy the conditions. That is, if x=2, y must =1, and if a;=l, y must =2. In every ex- ample or problem the corresponding value of y must be joined to the value of x. Solve the following: 2. a;2+y=73. • x—y—S, Ans. x—'^ or —3; y—Z or— S. 3. a;2+y=8S. x-\-y—\2>, Ans. aj=6 or 7; y—1 or 6. 4. a;2— j2=65. a;— jj'=S. Ans. x—% y=4, 5. x^+y^=29. x—y=3. Ans. x=S or — 2; jj'=2 or— 5. 6. 3x2— 2y=:19. x-\-3y=9. Ans. a;=3, or— 4"/2s; j=2 or 412/25. 7. 5X2- j)/2=:19. Sx— j/=9. Ans. x=2 or 2V2; ^^=1 or 3^2. 8. x2_3y^i3. X— j=3. Ans. x=5 or 4; _y=2 or 1. 9. 2x2— y=17. 2x—y=5. Ans. x=:7 or 3; ^==9 or 1. X2 1/2 1^- -3-2 =1- X v :r+~2. Ans. x=3, or —27; y=2, or 22. 3^2- 11 ALGEBRA, CASE 2. WHEN THE EQUATIONS ARE BOTH QUADRATIC AND HOMOGENEOUS. 1. Given x^-\-xy=6, sind y^-\-xy=3f to find x and y, Soi^uTiON. — By the problem, x^-\-xy=6. (1). By the problem, y^-\-xy—3. (2). L/ct x=sy. ( 3 ). Substituting- sy in (1) s^y^-\-sy^=6^ (4). Substituting sy in {2) y +5^=3. ( 5 ). 6 Hence, in (4) y=^2T^. (6). And in (5) y=Yq:7. (7) 6 3 liquating ( 6 ) and 7, ^2:j7y= Yfl * ^ ^ ^' Clearing, 6-1-65==3^2_|_3j. (9). Transposing, etc. ,35^ — 3^=6. ( 10 ). Hence, s^—s=2. ( 11 ). Completing square, 5^—s-^^/i=2^/i. (12). Extracting root, 5—^/2= ± IV2. ( 13 ). Transposing, 5=^2 ±172- i"^^)' Dropping negative value, 5=2. (15). o 3 f Substituting value of s in (7), ^=-=1. Extracting root, y= ± 1. Substituting value of sy in (3), a;=2X±l=±2. Hence, a;=±2; _)/=±l. Ans. 2. Given 2^— 4a;>'+3x2=^l7 And y — x2=16. to find a; a.ndy. 3. Given 3^2+ 1=7^, And xy=6, Ans. x=±3, or ±173. y=±S, or ±473. to find ic and y. Ans. x=3; y=2. 12 AX.GEBRA. 4. Given x^=19-\-xy, ] ^ ^ ^ - }• to find X and y. And 3a;j'=45. \ Ans. x=±S; 2/= ±3. 5. Given x-f>.=9, I to find x and >.. And a;84-y=189, ) » Ans. x=z5 or 4; ^=4 or 5. CASE 3. WHEN THE two EQUATIONS ARE SYMMETRICAI, WITH RESPECT TO X and y. 1. Given x-\-y=9t and ay/=18, to find x and ^. Soi^UTiON.— By the problem, x-{-y=.9. (1). By the problem, xy=iS. (2). Squaring (1) , x^+2xy+y^=Sl. ( 3 ). Multiplying (2) by 4, 4ay/=72. ( 4 ). Subtracting (4) from (3\ x^— 2ay/4-y==*- (5). Extracting square root of (5) , x—y= ±3. ( 6 ). Adding (1) and (6) , 2a;=12 or 6. Hence, x=6 or 3. Substituting value of x in (1), jj/=3 or 6. (Note that when x =6, j/=3 and vice versa; the values are not equal, but interchangeable). 2. Given a^=l, I to find x and jK. And;trj/=72, ) SOI.UTION.— By the problem, x—y=l, ' By the problem, xj=72. (2). Squaring (i; , x^-2xy+y^=l. ( 3 ). Multiplying (2) by 4, 4xj/=288. (4). Adding (3) and (4), x^-{- 2xy+y'=2S9. (5). Extracting square root of (5), x-\-y=±l7. (6). Adding (1) and (6), 2x=18 or —16. Hence x=9 or— 8. Substituting value of x in 1, y=S or —9. 3. Given x'/'-j-/' =^' I to find x and jy. And X f^+y /«=13, 1 13 ALGEBRA. 1/ V S01.UT1ON.— By the equation, x ' ^—y ' 2=5. ( 1 ), By the equation, x^l^ -}-y * ^^ =13. ( 2 ). Adding (1) and (2), 2x^^^ =18. (3). 1/ Therefore, x '^=.9. And ;ir=81. 1/ Substituting- value of x in (2), y ' ^=4. Therefore, jj/=16. 4. Given a;3jj/2— xy=144, ) >■ to find ;tr and r. And x^y~xy^==12, ) ^ By the problem, 7?y^ — x'^y^=144. ( 1 ). By the problem, cc2j>/—a;j|/2=i2. . (2). Dividing the first member of (1) hjxy (—ay) and the second member by 12, (equivalents in (2) we have xy «12. (3). 12. Hence, cc=y (4). 144 Substituting this value of x in (2), — - — 12;v = 12. (5). 12 Dividing by 12,— — jj/=l. (6). Clearing of fractions, 12— y^=y. ( 7 ). Transposing, y^-{-y=12, ( 8 ). Completing the square, y^+y+^/ 4=12^4. ( ^ ). Extracting the square root, jj/4-V2= ± 3V2. (10). Hence, ^=3 or —4. Substituting values of jj/ in (4), x=4 or — 3. 5. Given x- /=36, j find X a.ndy. And a;jj/: "" Ans. a;=s9 or 4; y=s4 or 9. 6. Given a;— r=1 x—y=ly ) '=12, j to find X and jj/. And x>/=12, ) Ans. a;=4 or 3; y=i3 or 4. 14 ALGEBRA. 7. Given xVs+y/s^^, ) . . . >• to find X and r. And ^'Vs— y/3=2, ) Ans. ;ir=27; y^^\. 8. Given x2>/+xjv2=210 } . >• to find X and V. And x^y^Vd, [ ^ Ans. x-==l or 3; j^=3 or 7. PROBI^KMS. 1. The difference of two numbers is 2, and the difl'er- ence of their squares is 28. What are the numbers? Ans. 8 and 6. 2. The difference of two numbers is 2, and their pro- duct is 14. What are the numbers? Ans. The g-reater =7 or — 2; the less=2 or — 7. 3. The sum of two numbers multiplied by the greater is 180, and their difference multiplied by the less is 16. What are the numbers? Ans. Greater, 9iX2 or 10; less, -y/l or 8. 4. The area of a field is 960 square rods, and the length is 16 rods greater than the breadth. What are the length and the breadth of the field? Ans. L/ength, 40 rods; breadth, 24 rods. 5. The area of a rectangle is 30 square inches, and its perimeter is 22 inches. Find the length and breadth of ^ the rectangle. lyength, 6 inches; width, 5 inches. 6. The area of a field is 108 square rods. If its length and breadth are each increased by 3 rods, the area will be 180 square rods. Find the length and breadth of the field. Ans. Length, 12 rods; breadth, 9 rods. 7. The area of a rectangular field is 168 square rods, and the length of its diagonal is 25 rods. What are the length and width of the field? Ans. L hence, c\d:'.e\f. 19 ALGEBRA THEOREM V. If four quantities are proportional, they are pro- portional when the terms of each couplet are inverted. Liet c\d\\e\f. Then, inversely, d\c\ :/: e. For, since c\d'.\e\f. By Theorem I. c/=dey or, dXe—cXf- Hence, by Theorem H.^dic ::f:e. THEOREM VI. If four quantities are proportional, they are also pro- portional by composition. Ivet c: d::e:f., then c-\-d \d\\ e-\-f:J. -r-. . ^ .■ c e For since c:d::ef\, d^l" C € Adding 1 to each member, ^+1=^-|- 1. c-\-d e4-; Incorporating- 1, — -j-=.—z-. Therefore, c-\-d :d:\ e^f\ f. THEOREM VII. If four quantities are proportional, they are also pro- portional by division. Ivet c'.d::e:J, then c — d \d\\ e—f'.f. C 6 For, \.lc\d:\e\f, ■^=j, c e Subtracting 1 from each member, -, — 1= -^ — 1. " c—d e—f Incorporating 1, , z=—r. Therefore, c — d \d\\ e—f: J. THEROEM VIII. If four quantities are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference. 20 AXOEBBA. lyet c\d\\e\fy then, c-\-d : c~d : : ^+/ : e~/. By Theorem VI, c-\~d -.d:: e-j-f: f. And by Theorem VII, c—d .d:: e—f\f. By alternation these propositions become, c-^d'.e-irfx'.d',/. And c — d : e—f-. : d :/. Hence, by Theorem IV, c-\-d : e-j-f: : c—d : e~f. Or, alternately, c-\-d : c — d : : e-\-f: e~f. THS0R9M IX. If any number of quantities are proportional, any antecedent is to its consequent, as the sum of all the ante- cedents is to the sum of all the consequents. Let c:d:: e:/::m:n, etc. Then c:d:: c-\-e-\-m : ^-f-/-f-w, etc. ^ For by Theorem I, c/=de. And, cnssidm. Also, cd—de. Adding, cd-\-cf-\-cni=^C'\-d9-\-dfn. Factoring, c (J-^-n-^-d )==rf( c-ifm-\-e ). Hence, by Theorem ll,c'.d\ -.{c-^e-^m ) : (