GLOBE NOTES By R. Holland. Christus: Lucrism 〈◊〉 〈◊〉 ACADEMIA: OXONIENSIS: Ver●●S. ●● Profundo: OXFORD Printed by L. LICHFIELD, Printer to the University, ⋆ and are to be sold by RIC. DAVIS, 1678. NOTES UPON Both Globs Celestial and Terrestrial. First concerning the Celestial. GLOBE. It is the model of Heaven, but chiefly of the Eight Sphere, wherein three things are to be observed in general, viz. 1. Definition. 2. Delineations. 3. Use. 1. The Definition. It is a sphericalbody, having a point or centre in the midst, from whence right lines being extended to the superficies they are all equal. 2. Delineations. which are these three. 1. The Lines or Circles. 2. The principal points. 3. The Figures or Constellations. 1. FIrst of the Lines or Circles, every of which are actually or intellectually divided into 360 equal parts called Degrees, the more principle whereof are these Ten, which make up the Sphaera armillaris, six whereof are great Circles, as be all those which divide the Globe into two equal parts, or Hemispheres, having the same centre with the Globe; And the other Four are called Smaller Circles, because they divide the Globe into two unequal parts or Segments. The Six great Circles are these. 1. The Horizon is the broad Circle upon the frame, this divideth the Globe into two Hemispheres, the one which we see, is always above the Horizon, the other which we see not, is below: And on the Horizon are drawn divers Circles, viz. of the 12 Signs, and of the days of the Months, and the 32 winds. 2. The Meridian is the Brass Circle which standeth at right Angles to the Horizon, and in which the Globe is hanged and turned about on its Poles, which are the ends or extremities of the Axis of the World, and upon the Meridian, is another little hour Circled fastened, with an index moving about upon the Pole. 3. The Equinoctial is drawn upon the Superficies of the Globe, in the midst between the Two Poles of the World, and the degrees thereof are numbered with 10, 20, 30, etc. to 360 4. The Eliptick line, this cutteth the Equinoctial in two points, and is divided into 12 Signs, each containing 30 degrees, and it passeth in the midst of the Zodiac, for the Zodiac is a broad Cycle containing 16 degrees in breadth, and is the bounder of the 7 Planets. 5. The Equinoctial Colour, this cutteth the Equinoctial at right Angles, in the two points where the Ecliptic passeth over the same Equinoctial line, and so passeth through the Poles of the World. 6. The Solstitial Colour, this passeth through the Ecliptic where it toucheth both the Tropics, and cutteth both the Equinoctial and Ecliptic at right Angles, and passeth through the Poles of the World, where also it cutteth the Equinoctial Colour at right Angles. The Four lesser Circles are, 1. The Two Tropics, each being parallel to the Equinoctial, and about 23 degrees, & 31m m from it. That which is toward the North Pole, is called the Tropic of Cancer; That which is towards the South Pole, is called the Tropic of Capricorn, and these are the bounders of the greatest Declination of the Sun. 2. The Two Polar Cirles, These are so far distant from the Poles of the World, as the Tropics are from the Equinoctial; That which is next to the North Pole, is talled the Arctic Polar Circle, and that which is next the South Pole, is called the Antarctic Polar Circle. There are moreover drawn upon this Globe divers other great Circles passing by the beginning of the Twelve Signs, cutting each other in two opposite points, and these with the Solstitial Colour, divide the Globe into 12 equal parts, and these are called the Circles of the Longitude of Stars. Also through every point of the Meridian, there are small Circles imagined to be drawn parallel to the Equinoctial, which are called the parallels of Declination of the Sun & Stars. Also the like small Circles are imagined to be drawn parallel to the Horizon, and these are called Almicantars', or Circles of Altitude. The Second thing noted in the Delineation in the Points to be observed on the Globe. 1. THe more principal are these, viz. The Two points on which the Globe is hanged and turned about within the Brazen Meridian, these represent the Poles of the World, from one of which to the other, there passeth a straight Line through the Centre of the Globe called the Axis of the World: Where Note, that the Two Poles of the World, are the common Sections of all the Meridian Circles. 2. The Two Poles of the Ecliptic, which are the two points in which the Six Circles of Longitude of Stars do cross or cut each other, and is near about 23 Degrees 30 Minutes distant from the Poles of the World. 3. The Points of Zenith and Nadir, the Zenith is that Point in the Heavens which is directly over our Head, and the Nadir, is on the contrary, directly under our Feet, these two are the Poles of the Horizon, being every where 90 Degrees from it, and in these Two Points do all the Vertical or Azimuthal Circles meet or cut each other. 4. The Points of Cast and West, viz. The two points where the Equinoctial cutteth the Horizon; these are also Diametrically opposite, and are the Poles of the Meridian being every where 90 Degrees from it. 5. The Two Equinoctial Points of Aries & Libra, being two points where the Ecliptic cutteth the Equinoctial, and are Diametrically opposite, the former is called the Vernal Equinoctial, because the Sun coming to it, the Spring beginneth; the other is called the Autumnal Equinoctial, because when the Sun cometh to it, the Autumn beginneth. 6. The Two Solstitial points, being also Diametrically opposite, are the two points on the Globe where the Ecliptic toucheth the Two Tropics & the Ecliptic in their touch point, viz. in the beginning of Cancer and Capricorn, and these Two are called Solstitial points, because the Sun moving in the Ecliptic, near either of them, which is in June and December, it causeth the days to stand still a while, without a sensible lengthening or shortening. Here is to be Noted, that the Horizon and Meridian Circles are said to be because they are fixed to the same place; but all other Circles of the Sphere are said to by movable, because they being drawn upon the Surface of the Globe or Sphere, must need, move about it in the Diurnal motion, yet other men denominate them by the contrary names. The Third thing observed in the Delineations, are the Figures drawn upon the Globe. THere have been 48 Asterisms or Constellations observed of ancient time, and about them in this Globe are described certain Figures, not because there are any such Figure in the Heavens, but are only imagined there to give denomination to the Stars of the Firmament, and yet not to all the Stars, for they are innumerable, but only to such as are most conspicuous, and whereof use may best be made, as occasion serveth. There are 12 Constellations of the Zodiac, through which the Zodiac passeth, and these give Denomination to the 12 Signs of the Zodiac, in particular these with their number of Stars. of old. of late. of old of late. ♈ 13 21 ♎ 8 17 ♉ 33 43 ♏ 21 16 ♊ 18 25 ♐ 32 14 ♋ 9 15 ♑ 28 28 ♌ 27 40 ♒ 42 41 ♍ 26 39 ♓ 34 36 There have been 21 Constellations observed on the North side of the Ecliptic, which are called the Northern Constellations, whose names and number of Stars here follow. of old. The little Bear 7 The great Bear 27 The Dragon 31 Cepheus 11 Boötes 22 The Northern Crown 8 Hercules 9 The Vulture Cadent 10 The Swan 17 Cassiopeia 13 Perseus 26 Auriga 14 Serpentarius 24 The Serpent 18 The Arrow or Dart 5 The Eagle 9 The Dolphin 10 The lesser Horse 4 Pegasus, or great Horse 20 Andromeda 23 The Northern Triangle 4. There are 15 Constellations on the South, side of the Eliptick, which are called the Southern Constellations, whose names and number of Stars here follow. of old. The Whale 22 Orion 38 The River Eridanus 34 The Hare 12 The great Dog 18 The lesser Dog 3 The Ship 45 The Goblet 7 The Raven 7 The Centaur 37 The Wolf 19 The Altar 7 The Southern Crown 13 The South-fish 12. Besides the number of the Stars noted in the former Constellations, the Modern Astronomers have noted divers others, which were left informs by the Ancients, and put them into their proper Figures; as may be seen in some of the Globes put forth since Noble Tycho Brahe, namely, Johannes Jansonius, his small Globes of the year 1620. And in Petrus Plantius his Globes of the Year 1625. The New Constellations in North Latitude, are these. Berenice's hair 14 The Bee 4 The River Jordan 21 Camelopardalis 18 The River Euphrates 13. The New Constellations in South Latitude, are these. The lesser Crabb 4 The Unicorn 22. Moreover because the Ancient Astronomer lived all in North Latitude, they could not se●… the Stars which are near the South Pole, bu●… they have been since discovered by such a have travailed that way, and are put into constellations, namely these, The Dove 11 The Southern Triangle 5 The apous Indica 12 The Peacock 17 The Indian 12 the Crane 13 The Towcan 8 The Hydrus 14 The Phoenix 14 The Dorado 6 The Sea Swallow 7 The Chameleon 8 The Cross called Crusero 6 The Fly 4 Besides the Constellations before named there are some other appearances in the Heavens, namely, the White broad Circle, calle● Via Lactea, or Milky way: and two littl● clouds observed near the South Pole. Thu● much of the Delineation, or things noted o● the outside of the Celestial Globe. The Third thing to be observed in General is the use of this Globe. Which consisteth in these three things following. viz. The knowledged of the. 1. Motions. 2. Division. And Operation on the 3. Propositions. In the first place of Motions, which are Two in number, viz. 1. The Diurnal motion. 2. The Proper motion. First concerning the Motions. 1. The Diurnal motion is made upon the Poles of the World, once about from East toward the West in 24 hours, and this is also called motus raptus, or the motion of the prinum mobile. 2. The Second motion is called the annual motion, & is made within the primuum mobile upon the Poles of the Ecliptic, according to the succession of the signs, which is contrary to that of the primum mobile, viz. from West toward East, and this motion is called Motus s●cundus, or Motus proprius, because that every Sphere hath a motion proper to itself, As tha● of the Sun ☉ finisheth once about secundum seriem signorum in the space of 12 months which is called the Solar year, Also Venus, ♀, and Mercury ☿, are moved about the same way in the same time, But the Moon ☽ is moved about in one Month, and the Month is o● two sorts, for the time wherein the Moon ☽, departeth from any point of the Zodiac and returneth to it again, is called the periodical Month, or Month of peragration, But the time wherein the Moon departeth from the Sun ☉, and overtaketh him again is called the Month of Consecration, or Synodical Month. Mars ♂ moveth through the Zodiac in about two Solar years, and that time is called the year of Mars ♂. Jupiter ♃ is moved through the Zodiac in about 12 Solar years, and that time is called the year of Jupiter ♃. Saturn ♄ in about 30 years runneth through the Zodiac, and that time is called the year of Saturn ♄. 3. The fixed Stars, according to Ptolemy move about the Zodiac in 36000 Solar years; But according to the Alphofines in 49000 years; And according to Capernicus in 17000 years; But Gassendus hath it 25000 years; And this time is called the great year, or Platonical year. Secondly concerning the Divisions. 1. First it is called Sphera recta, or a right Sphere, because in such position, the Equinoctial cutteth the Horizon at right spherical angles. The properties of the sphere is to have the Poles of the world lie in the Horizon, and the Equinoctial passeth through the Zenith and Nadir; and in this sphere not only the Equinoctial, but also both the Trophicks, and all other the Equinoctial parallels, are divided into two equal parts by the right Horizon, which causeth the days, and nights, at all times of the yet to be equal, viz. 12 hours long between Sun rising and setting without alteration, to those who live under the Equinoctial line. 2. Secondly it is called Sphaera obliqua, whereof there are so many in number as there be degrees, minutes, seconds, etc. in a Quadrant, And it is called obliqne, because the Equinoctial cutteth the Horizon with an obliqne angle; The properties of this Sphere is to have one Pole elevated above the horizon, and the other as far depressed; Also because in this sphere the Equinoctial is divided equally by the Horizon, and the parallels of the Equinoctial unequally, therefore the days, and the nights are equal only twice a year, viz. in the beginning of the Spring, and Autumn, at which times the Sun passeth over the first point of Aries ♈ and Libra ♎, but at all other times of the year, the days and nights are unequal. 3. It is called Sphera parallela or a parallel Sphere, because the Equinoctial being the same with the Horizon, all the parallels of the Equinoctial are also parallels to the Horizon; In this Sphere, one of the Poles of the World is the Zenith, and the other is the Nadir, and in this Sphere the Sun continueth above the Horizon about half a year together, and again as long under the Horizon, whereby the artificial day and night are each about half a year long. Thirdly, now follow the propositions wrought by the Globe. 1. To find the Sun's place in the Ecliptic; first find the day of the Month, upon the Horizon, and within upon the limb of the Horizon standeth the degree in which the Sun is, this you may apply to the Ecliptic upon the Globe. To find the Sun's Declination. 2. First find the Sun's place in the Ecliptic upon the Globe, and bring it to the brazen Meridian and there account how many degrees it is distant from the Equinoctial, for the declination of any point in the heavens is its Meridional distance from the Equator. The declination of any Star upon the Globe, is found by bringing it to the brazen Meridian and accounting as before. To find the right Ascension of the Sun. 3. Move the degree of the Ecliptic wherein the Sun is to the Meridian, and note the degree of the Equinoctial which cometh to the Meridian with it, for the Arch of the Equinoctial contained between that point and the first point of Aries ♈, is the right ascension, that is to say, it riseth with it in a right sphere. The right ascension of a Star is to be accounted as before, if the star be brought to the Meridian. Of the Longitude as it is taken on the Celestial Globe. 4. The Longitude of the Sun, is that Arch of the Ecliptic which is contained between the first point of Aries, and that point of the Ecliptic wherein the Sun ☉ ; But the Longitude of a Star is that Arch of the Ecliptic which is contained between the first point of A●ies, and the Section of the Ecliptic with a great Circle drawn from the Pole of the Ecliptic through the centre of the Star, being reckoned according to the succession of the signs. Which to find. Lay one end of the Quadrant of Altitude upon the Pole of the Ecliptic, and the graduated edge thereof, upon the Centre of the Star, and so it shall show in the Ecliptic, the sign and degree of Longitude. Of the Latitude as it is taken on the Celestial Globe. 5. It is accounted in a great Circle distant from the Ecliptic toward either Pole thereof, therefore the Sun, or any Star being in the Ecliptic, hath no Latitude, but the Moon ☽, or any other Planet being not in the Dragon's Head ☊, or Dragon's Tail ☋, or other Stars being not in the Ecliptic, are said to have Latitude so many degrees as they are distant from the Ecliptic toward either Pole thereof. Which to find. Lay one end of the Quadrant of Altitude upon the Pole of the Ecliptic, and the graduated edge thereof upon the Centre of the Star, then may you see how many degrees thereof are contained between the Star and the Ecliptic, and that is the Latitude thereof. But if you want the Quadrant of Altitude, then take a pair of Compasses, and setting one point in the Centre of the Star, extend the other till in the nearest distance it touches the Ecliptic, and the Compasses so opened and applied ●o the Equinoctial, shall show how many degrees the Latitude is. Here Note. That the Declination and right Ascension of ●he Sun and Stars have respect to the Equinoctial, but their Longitudes and Latitudes have ●espect to the Ecliptic. To rectify the Globe according to the Latitude of your place. 6. Elevate the proper Pole so far above the Horizon as the Latitude of the place proposed, ●y moving the Pole of the Globe so high by ●he help of the degrees of the Meridian. But to rectify for the Sun's place is. 7. After the former rectification, to bring ●he Sun's place in the Ecliptic, to the Meridian, turning up the Index of the hour wheel 〈◊〉 12 at noon. And to rectify for the Zenith is, 8. After the first rectification, to fasten the ●ut or Screw of the Quadrant of Altitude at ●he Zenith, that is, so many degrees from the equinoctial as the Pole is elevated. To find the Amplitude of the Sun or any Star that riseth and setteth. 9 The amplitude is the Horizontal distance 〈◊〉 rising or setting from the true points of East ●nd West, which to find, rectify the Globe by the sixth Proposition according to the Latitude and bring the degree of the Sun in the Ecliptic, or Centre of the Star to the Horizon, an● therein see how many degrees it is from th● East or West. To find what Stars do not set in any Latitude. 10. By the sixth Prop. rectify according 〈◊〉 to the Latitude, and turning about the Glob● mark what Stars pass between the Elevate● Pole and the Horizon, for those (if the Nor●… Pole be elevated) are contained within th●… Arctic Circle, and cannot set; for the Artic●… Circle as heretofore it hath been taken, ●… drawn upon the North Pole, through th' 〈◊〉 North point of the Horizon. To find the time when the Sun or any Star Riseth or Setteth. 11. By the seaventh Prop. rectify for th●… Sun's place, and move the Degree of the Su●… or centre of the Star to the East or West pa●… of the Horizon, and then the Index of th●… Hour Wheel shall show the time. To find how the Constellations are situate at any time of the Night. 12. By the Seaventh Prop. rectify for th●… Sun's place: and move about the Globe till th●… Index come to the Hour desired, and the●… hold the Globe to show the present scituatio●… of the Constellations. To find the Obliqne ascension of the Sun or any Star that riseth or setteth. 13. By the sixth Prop. rectify for the Latitude, and bring the degrees of the Sun, or cen●er of the Star to the East part of the horizon, ●nd observe the degree of the Equinoctial ●hich riseth with it, for the arch of the Equinoctial contained between the first point of A●●es ♈, and the point of the Equinoctial so ascending is called the obliqne ascension. To find the Ascentional difference of the Sun ☉. 14. By the third Prop. find the right ascension, and again by the thirteenth prop. find ●●e obliqne ascension thereof, and subtract the ●ffer of them from the greater, and the re●ain is the difference of Ascention: for the difference of Ascension, is only the difference between the right & obliqne Ascensions: where ●ore that the difference of Ascention is an ●●ch of the Equinoctial, and is always the ●●ne of the Suns rising before 6, and after 6, the ●●e of the year being considered. Hereby. 15. To get the time of the Suns rising to a nute of an hour; turn the Ascentional dif●ence into time, allowing 15 gr. thereof to ●●ery hour, and to every degree 4 minutes of 〈◊〉 hour; And if the Sun be in the Northern ●●gnes, the Ascentional difference is the time of the Suns rising before 6 a clock, if in th● Southern then after 6 a clock. Again. 16. Having the time of the Suns rising, before or after 6 a clock, you may get the lengt of the Artificial day (that is, the time of th● Sun's continuance above the horizon) If th● Sun's declination be North add it to 6, if Sout subtract it from 6, and so shall come forth th● semidiurnal arch, this doubled giveth th● length of the artificial day; But if the length of the artificial night be required, than wor● contrary to that of the day. To find the time of the day by having the Altitude of the Sun. 17 First by a Quadrant or some other Instrument find the Altitude of the Sun abov● the Horizon, and then by the 6, 7, and 8, Pro●● rectify the Globe for the Latitude, the Su● place, and the Zenith, and bring the degree 〈◊〉 the Ecliptic wherein the Sun is, to agree 〈◊〉 the same Altitude upon the edge of the Quadrant of Altitude, and then the Index of th● Hour wheel shall show the time of the day. To find the Azimuth of the Sun by having his Altitude. 18. The Azimuth of the Sun is the distant thereof, accounted in the Horizon from Eas● West, or South; by the 6, 7, & 8, Prop. rect fie the Globe, and bring the Sun's place in the Ecliptic, to agree to the same Altitude on the graduated edge of the Quadrant of Altitude, and then the Quadrant of Altitude shall show his Azimuth in the Horizon. To find the Azimuth of the Sun at any time of the Day. 19 By the 6, and 8 Prop. rectify the Globe, and turn it about till the Index of the Hour wheel, do point to the hour given, then lay the Quadrant of Altitude upon the Sun's place in the Ecliptic, and it showeth the Azimuth in the Horizon. At any time of the year, to find the time of Day break, or beginning of Crepusculus (if any be.) 20. By the 6, 7, & 8, Prop. rectify the Globe and Elevate the opposite degree of the Sun at the West 18 deg. above the Horizon, and then the Index of the hour wheel shall show the time. Having the Altitude of any known Star, to find the hour of the night. 21. By the 6, 7, & 8 Prop. rectify the Globe and move about the Globe till the Star hath the given Altitude in the graduated edge of the Quadrant of Altitude, & then shall the Index of the hour wheel show the hour required. Having any known Star at the Meridian to find the Hour. 22. By the 6, & 7, Prop. rectify the Globe and turn the Globe till the same Star comes to the Brazen Moridian, so shall the Index of the hour wheel show the hour. Of the Poetical Rising and Setting of Stars. COSMICAL. A Star Riseth Cosmical when it riseth with the Sun, & Setteth Cosmical, if it set when the Sun riseth. To find the time of the year when a Star riseth Cosmical. 23. By the 6, Prop. rectisy, and bring the Star to the East part of the Horizon, and observe the degree of the Ecliptic which is at the East part of the Horizon with it, and then find in the Circle of the Horizon what day of the Month answereth to the same degree of the Ecliptic. To find the time of the year when a Siar Setteth Cosmical. 24. By the 6 Prop. rectify and bring the Star to the West part of the Horizon, and Note the degree of the Ecliptic at the Past part of the Horizon, and find the day of the Month on the Horizon as before. ACRONICAL. A Star Riseth Acronical, when it riseth in the East, and the Sun is. Setting in the West; And it setteth Acronical, when it Setteth with the Sun. To find the time of the year when a Star Riseth Cronical. 25. By the 6 Prop. rectify, and bring the Star to the East part of the Horizon, and Note the degree of the Ecliptic cut by the Horizon at the West, and find the day of the Month answering thereunto upon the Horizon as before. To find the time of the year when a Star Setteth Acronical. 26. By the 6 Prop. rectify, and bring the Star to the West part of the Horizon, and Note the degree of the Ecliptic cut by the Horizon at the West, and find the day of the Month upon the Horizon as before. Heliacal. Heliacal Rising of a Star, is the rising of a Star out of the Sun beams, for than it appeareth before the Sun rising, though before it could not be seen by reason of its nearnes to the Sun, being within the Arch of Vision. Heliacal Setting is when a Star cometh within the Sun beams, or when a Star is entering into its Arch of Vision, and then cannot be seen setting after the Sun by reason of its nearness to the Sun. The Arch of Vision is the Arch of a Vertical Circle contained between the Horizon and the Centre of the Sun after it is set, or before it riseth, this altereth according to the several magnitudes of the Stars, for the greater the Star is, the less is the Arch of Vision, and contrary. The Arches of Vision belonging to the Stars according to their severa Magnitudes, are these. To the First 12 Second 13 Third 14 Fourth 15 Fift 16 sixth 17 Lest 18 To the Planets. Venus' 5 Mercury 10 Saturn 11 Jupiter 9 Mars 12 1/● Moon uncertain. To find the time of the year when a Star Riseth Heliacal. 27. By the 6 Prop. rectify, and bring the Star to the East part of the Horizon, and Note the degree of the Ecliptic elevated above the West part of the Horizon according to the arch of Vision appertaining to the same Star, and then as before, find the of the Month on the Limb of the Horizon, answering to the opposite degree of the Ecliptic so elevated at West as aforesaid. To find the time of the year when a Star setteth Heliacal. 28. By the 6 Prop. rectify and bring the Star to the West part of the Horizon, and Note the degree of the Ecliptic elevated at the East part of the Horizon, according to the Arch of Vision belonging to the same Star, and by the opposite of it, find the day of the Month on the Limb of the Horizon as before. Description of the Terrestrial GLOBE. IT is a round or spherical body, representing the form of the earth and waters. On this Globe are also described the ren circles of the sphaera armillaris, viz. the Horizon, Meridian, Equator, Ecliptic, the two Colours with the fover lesser circles, viz. the two Tropics, and the two Polar circles. Besides these common circles there are described upon this Globe divers other circles passing through both poles of the World, these are called Meridian's, or circles of Longitude; Also certain obliqne circular lines passing through the centre of certain roses (so called) and these are called Rhombs, Courses, or points of the compass. On this Globe are described the known parts of the World divided into several quarters, Europe, Asia, Africa, and America, to which is added the unknown land about the South Pole called Magelanica. And these quarters of the World are subdivided into several Kingdoms and Provinces, as may be seen in the Geographers. The ZONES. This Globe is also divided into five Zones, one is called the Torrid or Zone, and this lieth between the Tropics, the inhabitants hereof are called Amphiscii, because they have two contrary meridional shadows in a year. Two are called temperate, and these lie between the Tropics and the Polar circles; The inhabitants hereof are called Heterescii, because they have their Meridional shadow one way all the year. The two frigid Zones, are comprehended within the Polar circles; The inhabitants whereof are called Periscii because their shadow at some time of the year goeth round about them. The Inhabitants of the Terrestrial Globe, do also receive other names relating to their positions each to others. The Antipodes are such as dwell diametrically opposite each to other, & have all things contrary, as seasons of the year, and times of the day. The Antoesi are such as dwell so far remote from the Equinoctial on one side, as the other dwelleth on the other side, both under the same Meridian. These have some things common, and some things proper, the common, as to have their noon tides together: Proper as that the winter of the one, is the others Summer time, and the longest day of the one, is the shortest of the other. The Periaesi are such as live in the same parallel of Latitude toward the same Pole, and are directly opposite each to other, both having the same meridian, These have their Summers, Winters, and increase, and shortening of days and nights together, but the night of the one is the day of the other. Parallels of the Longest day. Besides the parallels of Latitude formerly mentioned, there are other parallels imagined to be drawn upon this Globe, which are called parallels of the longest day: The first of them is to be drawn at that distance from the Equinoctial, where the longest day of the year is 12¼ hours long: The second where the longest day of the year is 12½ hours long: The third where the longest day of the year is 13¾ hours long, etc. through places increasing their longest day by ¼ of an hour, till you come to the parallel where the longest day of the year is 24 hours long, which is under in the Longitude of the same place; for the Longitude is but the remotion of a place from the first meridian which passeth through the Azores accounting Eastwardly. To find the distance between two places Put the centre of the quadrant of altitude upon on one of the places, and the graduared edge upon the other, & the degrees interjacent shall show their distance in degrees, and these may be turned into miles by multiplying by 60. To find how one place beareth or lieth from another. Elevate the pole according to the Latitude of the place where you are, and fasten the quadrant of altitude at the Zenith, then bring the place where you are to the Zenith, and move the graduated edge of the quadrant of altitude to the other place, and then the end of the quadrant of altitude shall fall upon the Horizon in the point of bearing. To find what hour of the day or night it is at any place on the Terrestrial Globe. Bring the place where you are to the Meridian, and turn the Index of the hour wheel to the hour it is with you at present, then turn the other place to the Brazen Meridian, and the Index of the hour wheel will show the hour desired. To find by the Terrestrial Globe the quantity of the longest day at any place assigned. Elevate the Pole of the Globe according to the polar circles; these being drawn each way from the Equinoctial towards each pole, divide the Globe into unequal parts or spaces, for though they be equal in time, yet they agree not in equal distance of place, but are greater or broader near to the Equinoctial, and are narrower the farther they are from it. CLIMATES. A Climate containeth two of the parallels of the longest day, and altereth the longest day by the space of half an hour, beginning at the Equinoctial, and are in all 24, which end under the polar circles; but the Ancients for want of knowledge of the parts under the Equinoctial made at first but seven Climates, and called them by names, but afterwards were added two more, which made up their number to be nine. And these of the Ancients began to be accounted at 12 and 15 from the Equator. Propositions on the Terrestrial GLOBE. To find the Latitude of any place set thereon. Bring the place to the brazen meridian, and therein account how many degrees are betwixt the Equinoctial and the place, for that is the Latitude you seek; for the Latitude is but the remotion of the Zenith of a place from the equator. To find the Longitude of a place set thereon. Bring the place under the brazen meridian, and then the meridian shall cut the Equinoctial the Latitude of the place given, and bring the Solstitial point of Cancer (if the North Pole be Elevated) to the Meridian, and turn the Index of the hour wheel to 12 at noon, then if you put the Solstitial point of Cancer to the West part of the Horizon, the Index on the hour Wheel showeth the time of Sun setting there, and that is also the Semidiurnal Arch, & being doubled giveth the length of the day, if it exceed not 24 hours, which end under the Polar Circle. But if the place asligned be within the Polar Circle, then elevate the Pole of the Globe according to the Latitude of the Place, & turn the Globe till some point of the Vernal Signs in the Ecliptic touch the North point of the Horizon and note how many degrees of the Eclip tick are from the Solstitial point of Cancer, for that number doubled giveth nearly the length of the day in our common days, and these days may be turned into weeks and months etc. All Mathematical Instruments are Made and Sold by John Prujean living near New College in Oxford.