A tutor to astronomie and geographie, or, An easie and speedy way to know the use of both the globes, coelestial and terrestrial in six books : the first teaching the rudiments of astronomy and geography, the 2. shewing by the globes the solution of astronomical & geographical probl., the 3. shewing by the globes the solution of problems in navigation, the 4. shewing by the globes the solution of astrological problemes, the 5. shewing by the globes the solution of gnomonical problemes, the 6. shewing by the globes the solution of of [sic] spherical triangles : more fully and amply then hath ever been set forth either by Gemma Frisius, Metius, Hues, Wright, Blaew, or any others that have taught the use of the globes : and that so plainly and methodically that the meanest capacity may at first reading apprehend it, and with a little practise grow expert in these divine sciences / by Joseph Moxon ; whereunto is added Antient poetical stories of the stars, shewing reasons why the several shapes and forms are pictured on the coelestial globe, collected from Dr. Hood ; as also a Discourse of the antiquity, progress and augmentation of astronomie.

The Fourth BOOK, Shewing the Practical Use of the GLOBES: Applying them to the Solution of Astrological Problemes. (Book 4)

PRAEFACE.

THe Practise of Astrology is grounded upon a two-fold Doctrine. The first, for erecting a Figure of Heaven, placing the Planets in it, finding what As∣pects they bear each other, and in what Places they are con∣stituted, &c. and this we call the Astronomical part of A∣strology.

The second is, how to judge of the events of things by the Figure erected: and this is indeed the only Astrological part.

The first of these I shall briefly handle; because what there∣in is proposed may be performed by the Globe, both with speed, ease, delight, and demonstration. The second I shall not meddle with, but refer you to the whole Volumnes alrea∣dy written upon that Subject.

PROB. I.

To Erect a Figure of the 12 Houses of Heaven.

BEfore you erect a Figure of the 12 Houses of Heaven it will be requisite you place the Planets, ☊, and ☋, according to their Longitude and Latitude upon the Globe, as was directed in Prob. 55. of the second Book: for then, as you divide the Houses of your Figure by the Circle of Position, you may by inspection behold in what Houses the Planets are scituated, and also see what fixed Stars they are applying to, or separating from. But to the matter.

There is disagreement between the Ancient and Modern A∣strologers, about erecting a Figure of Heaven. M^r Palmer in his Book of Spherical Problemes Chap. 48. mentions four seve∣ral waies, and the Authors that used them; whereof one of them is called the Rational way used by R••giomontanus; and now gene∣rally practised by all the Astrologers of this Age. This way the face of Heaven is divided into twelve parts, which are called the twelve Houses of Heaven numbered from the Ascendent or angle at East downwards, with 1, 2, 3, &c, As in the following Figure.

In a Direct Sphear, viz. under the Equator these twelve Houses are twelve equal parts: but in an Oblique Sphear they are unequal parts, and that more or less according to the quanti∣ty of the Sphears obliquity.

These twelve Houses are divided by 12. Semi-Circles of Po∣sition; which are Semi-Circles passing from the two intersections of the Horizon and Meridian through any Star, degree, or point in the Heavens.

Four of these Houses are named Cardinals. The first and most eminent of these Cardinals is the first House, or the Angle of East, called the Ascendent; where the Semi-Circle of P••sition is the same with the Eastern Semi-Circle of the Horizon. The se∣cond Cardinal is the tenth House, or the Angle of South; called Medium Caeli, or Culmen Caeli; where the Semi-Circle of Position is the same with the Semi-Circle of the Meridian above the Horizon. The third Cardinal is the seventh House, or the An∣gle of West; called the Descende••••; where the Semi-Circle of Position is the same with the Western Semi-Circle of the Hori∣zon.

[illustration]

The fourth Cardinal is the fourth House, or Angle of North; called Imum Caeli; where the Semi Circle of Position is the same with the Semi-Circle of the Meridian under the Ho∣rizon.

The degrees and minutes of the Ecliptick upon the Cusps of these four Houses (that is, upon the beginning of these Houses) are found all at once only by bringing the Rising degree of the E∣cliptick to the Horizon: (for the Horizon represents the Cusp of the Ascendent:) and then shall the Meridian cut the degree of the Ecliptick on the Cusp of the tenth House. The Western Semi-Circle of the Horizon shall cut the degree of the Ecliptick on the Cusp of the Seventh House: and the Semi-Circle of the Meri∣dian under the Horizon shall cut the degree of the Ecliptick on the Cusp of the fourth House.

If you have the day of the Moneth, you may by Prob. 3. of

the second Book find the Suns Place; and if you have the Hour of the Day you may by first rectifying the Globe, as by Prob. 2. of the same Book, turn about the Globe till the Index of the Hour-Circle point to the same Hour in the Hour-Circle, and you will then at the Eastern Semi-Circle of the Horizon have the de∣gree of the Ecliptick that is Rising, and by Consequence (as afore∣said) all the Cardinal points in their respective places.

Now to find what degree of the Ecliptick occupies the Cusps of the other eight Houses of Heaven; Do thus, The Globe rectified, as aforesaid, Move the Semi-Circle of Position up∣wards till 30 degrees of the Equator shall be contained be∣tween it and the Eastern Semi-Circle of the Horizon; so shall the Semi-Circle of Position cut in the Ecliptick the degree and minute of the Ecliptick on the Cusp of the twelfth House; and its opposite degree and minute in the Ecliptick shall be the Cusp of * 1.1 the sixth House, (for you must note that if you have but the de∣gree and minute of the Ecliptick upon the Cusps of six of the Houses, the opposite degrees and minutes of the Ecliptick shall immediately possess the Cusp of every opposite House.)

Then move the Circle of Position over 30. degrees more of the Equinoctial, so shall the degree of the Ecliptick cut by the Circle of Position be the degree of the Ecliptick, upon the Cusp of the eleventh House; and its opposite degree in the Ecliptick shall be upon the Cusp of the fifth House. The degree of the Ecliptick upon the Cusp of the tenth and fourth Houses was found as before. Then remove the Circle of Position to the Western side of the Meridian, and let it fall towards the Horizon till 30. degrees of the Equator are contained between the Meri∣dian and it, so shall the degree of the Ecliptick cut by the Semi-Circle of Position be the degree of the Ecliptick on the Cu••p of the Ninth House; and the opposite degree of the Ecliptick shall be upon the Cusp of the third House. Let the Semi-Circle of Position fall yet lower, till it pass over 30. degrees more of the Equator, so shall the degree of the Ecliptick cut by the Semi-Circle of Position be the degree of the Ecliptick on the Cusp of the eighth House; and the opposite degree of the Ecliptick shall be upon the Cusp of the second House. The degrees of the Ecliptick on the Cusp of the seventh House, and Ascendent, were found as before.

Example.

I would erect a Figure of Heaven for July 27. 5. hours o•• mi∣nutes Afternoon, 1658. in the Latitude of London, viz. 51½ de∣grees, North Latitude.

I first place the Planets, ☊, and ☋, on the Globe, as by Prob. 55. of the Second Book was directed: yet not exactly as I find them in the Ephemeris, for that shews only their place in the E∣cliptick at Noon: Therefore I consider how many degrees or minutes each Planets motion is in a whole Day or 24. Hours, by substracting the Ecliptical degrees and minutes of the Planets place that Day at Noon from the Ecliptical degrees and mi∣nutes of the Planets place the next Day at Noon: or contrarily if the Planet be Retrograde: for the remains of those degrees and minutes is the motion of the Planet that Day; Therefore propor∣tionably to that motion I place the Planet forward in the Eclip∣tick: (or backward if it be Retrograde:) As if the Sun should move forward 1 degree, that is 60 minutes in a whole Day, or 24 Hours, then in 12 hours he should move 30 minutes, in 6 hours 15 minutes, in 4 hours 10 minutes, in 1 hour 2½ minutes, and so proportionably for any other space of Time: which I con∣sider before I place the Planets on the Globe.

Having thus placed the Planets on the Globe, I Elevate the North Pole 51½ degrees above the Horizon, and find the Suns place by Prob. 3. Book 2. to be in ♌ 14. degrees 9. minutes, Therefore I bring ♌ 14. degrees 9. minutes to the Meridian, and the Index of the Hour-Circle to 12. Then I turn the Globe Westwards, because it is Afternoon, till the Index point to 5. Hours afternoon, and with a quill I fasten the Globe in this posi∣tion: Then I examine what degree of the Ecliptick is at the As∣cendent or Horizon, and find 〈◊〉〈◊〉 27. 47. to which Sig•••• degree and minute 〈◊〉〈◊〉 27, 47. is opposite, and therefore, as aforesaid upon the Cusp of the Seventh House: Lifting up the Circle of Position till it pass over 30 degrees of the Equator from the Horizon up∣wards I find 〈◊〉〈◊〉 7. 5. cut by it in the Ecliptick, which is the Signe degree and minute upon the Cusp of the twelfth House, and its opposite Signe degree and minute is 〈◊〉〈◊〉 7. 5. which is upon the Cusp of the sixth House: Then lifting up the ••ircle of Position again till it pass over 30 degrees more of the Equinoctial, I find

cut by the Circle of Position 〈◊〉〈◊〉 21. 18. which is the Signe de∣gree and minute upon the Cusp of the eleventh House; and its op∣posite Signe degree and minute is ♉ 21. 18. which is upon the Cusp of the fifth House: 〈◊〉〈◊〉 3. ••0. is at the Meridian, which is the Cusp of the tenth House, and the Signe degree and minute oppo∣site to it is ♍ 3. 20. which is on the Cusp of the fourth House. Then taking the Semi-Circle of Position off its Poles, I place it on the West side the Meridian, and let it fall towards the Horizon till it pass over 30 degrees of the Equator from the Meridian, and find the Circle of Position cut the Ecliptick in ♎ 1. 9. which is the Signe degree and minute on the Cusp of the ninth House; op∣posite to ♎ 1. 9. is 〈◊〉〈◊〉 1. 9. therefore ♈ 1. 9. is upon the Cusp of the third House: Letting the Circle of Position fall yet lower till it passes over 30 degrees more of the Equator, I find it cut the Ecliptick in ♌ 6. 47. which is the Signe degree and minute up∣on

[illustration]

the Cusp of the eighth House; and its opposite Signe degree and minute is ♒ 6, 47. which is upon the Cusp of the second House. So have you a Figure of the Face of Heaven: which if you have future use for, you may set down the several charracters in the proper places of a Figure, as they are on the other side the leaf,

PROB. II.

To Erect a Figure of Heaven according to Campanus.

REgiomontanus as aforesaid makes the beginning of every House to be the Semi Circle drawn by the side of the Se∣mi Circle of Position according to the succession of every 30^th degree of the Equator from the Horizon But Camp 〈◊〉〈◊〉 make it to be the Semi-Circle drawn by the side of the Semi-Circle 〈◊〉〈◊〉 Position according to the succession of every 30^th degree of 〈◊〉〈◊〉 Prime Verticle, or East Azimuth; which is represented by the Quadrant of Altitude placed at the East point.

The four Cardinals are the same, both according to Regiomon∣tanus, and Campanus: but the other eight Houses differ: There∣fore when you would find them according to Campanus; Rectifie the Globe and Quadrant of Altitude, and bring the lower end 〈◊〉〈◊〉 the Quadrant of Altitude to the East point in the Horizon: Then count from the Horizon upwards 30 degrees o•• the Quadrant 〈◊〉〈◊〉 Altitude, and bringing the Circle of Position to those 30 degree•• examine where the Circle of Position cuts the Ecliptick, which 〈◊〉〈◊〉 the aforesaid time is in 〈◊〉〈◊〉 29. 40 for that degree and minute upon the Cusp of the twelfth House, and its opposite degree 〈◊〉〈◊〉 minute in the Ecliptick viz. ♉ 29. 40. is upon the Cusp of 〈◊〉〈◊〉 sixth House: Lift up the Circle of Position 30 degrees high•• upon the Quadrant of Altitude (viz. to 60 degrees) and 〈◊〉〈◊〉 Circle of Position will cut the Ecliptick in 〈◊〉〈◊〉 15. degrees for the Cusp of the eleventh House, and its opposite degree and mi∣nute in the Ecliptick viz. ♉ 15. is upon the Cusp of the first House. The degree and minute of the Ecliptick on the Cusp 〈◊〉〈◊〉 the Tenth and Fourth Houses is at the Meridian.

Then transfering the Circle of Position to the West side of the Meridian and the Quadrant of Altitude to the West point in the Horizon, Let the Semi-Circle of Position fall 30 degrees from the Meridian on the Quadrant of Altitude, and it will cut in the E∣cliptick

♎ 16 degrees, for the Cusp of the ninth House, and its op∣posite degree and minute in the Ecliptick viz. ♈ 16. is upon the Cusp of the third House: Let fall the Circle of Position 30 de∣grees lower on the Quadrant of Altitude, and it will cut the E∣cliptick in 〈◊〉〈◊〉 2 degrees, for the Cusp of the eight House, and its opposite degree viz. ♓ 2. degrees is on the Cusp of the second House: The Cusps of the Seventh and Ascendent is the same with Regiomontanus viz. 〈◊〉〈◊〉 27. 47, and ♐ 27. 47. The Fi∣gure follows.

[illustration]

PROB. III.

To find the length of a Planetary Hour.

AStrologers divide the Artificial day (be it long or short) into 12 equal parts, and the Night into 12 equal parts: These parts they call Planetary Hours. The

first of these Planetary Hours takes its denomination from the Planetary Day; and the rest ••re named orderly from that Planet according to the succession of the Planetary Orbs: As if it be Munday that is, the Moons day, (as by Prob. 42, of the second ••ook) the Planet reigning the first Hour shall be••••, the Planet ruling the second Hour shall be ♄, the third Planetary Hour shall be 〈◊〉〈◊〉, the fourth 〈◊〉〈◊〉, the fifth ☉, the sixth ♀, the seventh: Thee begin again with 〈◊〉〈◊〉 for the eight Planetary, 〈◊〉〈◊〉 for the ninth and so through the whole Day and Night, till the Sun Rise again the next Day.

The length of this Planetary Hour is found by the Globe, thus: The Globe rectified; Bring the Suns place to the East side the Horizon and make a prick at the degree of the Equator that comes to the Horizon with it. Then remove the Suns place to the Meridian, and count the number of degrees of the Equator comprehended between that prick and the degree now at the Horizon; and divide that number of degrees and minutes by 6. because there is 6 Planetary H••urs past since Noon; and the Q••••tient shall shew the number of d••g••••••s and minutes that pass through the Meridian in one Planetary Hour.

Example.

J••ly 27. 1658. I would know the length of the Planetary 〈◊〉〈◊〉 here at Lonaon: I Rectifie the Globe, and bring the Sun▪ place viz ♌ 〈◊〉〈◊〉. 50. to the Eastern side the Horizon and find 115 degrees of the Equator come to the Horizon with it; to this 115 degrees I make a prick: Then I turn the Suns place to the Meridian and find 22•• degrees of the Equator at the Horizon, Therefore I either count the number of degrees between the pricks and the degree of the Equator at the horizon, or else sub∣••••r••ct the 〈◊〉〈◊〉 from the greater but both waies I find 111 de∣g••ees of the Equator to pass through the Meridian (or the Hori∣zon in six Planetary Hours Therefore dividing 111. by 6. I 〈◊〉〈◊〉 〈◊〉〈◊〉. degrees ••0 minutes of the Equator to pass through the M••••••••••an in one Planetary Hour: which 18. degrees 30 minutes reduced into Time yeelds 72. minutes, by accounting for every 15. degrees one Hour for 1. degree 4. minutes, and for half a degree 〈◊〉〈◊〉. minutes of Time and so proportionably▪ so that the le••g••h of a Planetary Hour, July 27 is 1 co••••on Hour and ••4 minute, here at London.

PROB. IV.

The length of a Planetary Hour known, to find what Pla∣net Reigneth any green Hour of the Day, or Night.

THe Globe Rectified as in the last Probleme, Turn about the Globe till the Index of the Hour Circle points to the Hour of the Day in the Hour Circle. Then count the number of degrees comprehended between the de∣gree of the Equator at the Horizon and the prick in the Equa∣tor, made as in the last Probleme, and reduce that number of de∣grees into minutes of Time, by re••koning 4. minutes of Time for every degree of the Equator. Reduce also the number of de∣grees and minutes that pass through the Meridian in one Plane∣tary Hour into minutes by allowing (as aforesaid 4. minutes for e∣very degree, and then divide the 〈◊〉〈◊〉 〈◊〉〈◊〉 by the second and the Quotient shall be the number of 〈◊〉〈◊〉 〈◊〉〈◊〉 since Sun Rising Having the number of Planetary Hours since Sun Ri∣sing R••ckon the first Planetary H••ur by the ••ame of that Pla∣net that bears the denomination of the Day the second Planeta∣ry Hour by the Planet succeeding that in order ••he th••••d by the next in order and so for all the rest 〈◊〉〈◊〉 you c••me to the last Pla∣net viz. 〈◊〉〈◊〉; and then begin again with 〈◊〉〈◊〉, and so 〈◊〉〈◊〉 〈◊〉〈◊〉 &c. 〈◊〉〈◊〉 you have 〈◊〉〈◊〉 so many Planets as there are Planetary Hours si••ce M••••••••ing. and that Planet the number ends on shall be the Planet Reigning that Planetary Hour.

Example.

July 27. 1658. aforesaid, I would know what Planet Rules at 5 a clock past Noon: The length of the Planetary Hour this Day ••ound by ••he last Probleme▪ is 1. hour 14. minutes▪ There∣fore the Globe Rectified. I bring the Index of the Hour Circle to the Hour of the Day viz. 5 a clock in the Hour-Circle, and then count the number of degrees between the Prick made, as by the last Probleme and the degree of the Equator at the Hori∣zo••; and find them 187. which I reduce into minutes, by allow∣i••g for every degree 4 minutes; and that gives 748 minutes. This 〈◊〉〈◊〉 minu••es I divide by the minutes contained in one Planeta∣ry

Hour this Day, viz. by 72. and find 10. hours 8. minutes; which shews there are 10. Planetary Hours and 8. minutes past and gon since Sun Rising. Therefore ♂ being the Planet after whose name the Day is called viz. Dia Martis, ♂ is as afore∣said, the Ruler of the first Planetary Hour: From him I count the Planet succeding, which is ☉ for the second Hour; from ☉ I count the Planet succeding, which is ♀ for the third Hour, and so on to ♀, and ☽: and then I begin the Round again with ♄, ♃, ♂, and ☉, till I come again to ♀, which is the tenth Planetary Hour since Sun Rising▪ and the minutes remaining being 8. shews that there is 8. minutes past since she began to Reign.

PROB. V.

To find Part of Fortune by the Globe.

COunt the number of degrees and minutes contained be∣tween the Suns place and the Moons place, begining at the Suns place and counting according to the succession of Signes till you come to the Moons place: and having found that number of degrees and minutes, add them to the num∣ber of degrees and minutes Ascending, reckoned from the first point of ♈. If the sum exceed 360, east away 360, and the re∣mainder shall be the number of degrees and minutes from the first point in 〈◊〉〈◊〉, in which Part of For••••ne falls. But if it do not exceed 360, you have already the number of degrees and minutes from the first point of ♈ in which you must place Part of Fortune.

Example.

I would find the place of Part of Fortune for the time of ou•• Figure: I seek the two pricks representing ☉ and 〈◊〉〈◊〉, and find ☉ in ♌ 14. 9. and ☽ in ♏ 19. 44. therefore counting from the Suns place to the Moons place according to the succession of Signes, I find 95. degrees 35. minutes, contained between them: This 95. degrees 35. minutes I add to 267. degrees 47. minutes, the degree and minute contained between the first point of ♈ and the Ascendent; and they make together 363. degrees 22. minutes. This exceeds 360. therefore I cast away 360. and the remains are 3 degrees 22. minutes, for the place in the E∣cliptick of Part of Fortune, reckoned from the first point of ♈▪

Therefore this character ♁ which represents Part of Fortune, I set in its proper place of the Figure, as I did the Planets.

PROB. VI.

To find in what Circle of Position any Star, or any degree of the Ecliptick is.

CIrcles of Position are numbred from the Horizon up∣wards, upon the Quadrant of Altitude placed at the East or West point of the Horizon, Therefore when you would find what Circle of Position any Star or degree of the E∣cliptick is in, Rectifie the Globe and Quadrant of Altitude, and bring the lower end of the Quadrant of Altitude to the East or West point of the Horizon, and lift up the Circle of Position till it come to the Star or degree of the Ecliptick proposed: and the number of degrees the Circle of Position then cuts in the Qua∣drant of Altitude is the number of the Circle of Position that the Star or degree of the Ecliptick is in. If the Star or degree of the Ecliptick be under the Horizon, turn the Globe about till 180, degrees of the Equator pass through the Meridian, then will the Star or degree of the Ecliptick be above the Horizon: Lift up then the Circle of Position (as before) to the Star or degree of the Ecliptick and the number of degrees of the Quadrant of Al∣titude the Circle of Position cuts on the East side, is the number of Circles of Position the Star was under the Horizon on the West side: Or so many degrees as the Circle of Position cuts on the Quadrant of Altitude in the West side the Horizon is the number of the Circles of Position the Star or degree of the Ecliptick was under the Horizon on the East side.

PROB. VII.

To find the Right Ascensions, the Oblique Ascensions, and the Declinations of the Planets.

EXamine the Right Ascensions and Declinations of those pricks made to represent each Planet, in Prob. 1. of this Book; and work by them as you were directed to work by the Sun, in Prob. 26, 27, 28. of the second Book,

PROB. VIII.

How to Direct a Figure, by the Globe.

TO Direct a Figure is to examine how many degrees of the Equinoctial are moved Eastwards or Westwards, while a∣ny Planet or Star in one House comes to the Cusp or any other point of any other House.

When you would Direct any Promittor to any Hylegiacal point examine the degree of the Equator at the Meridian; then turn about the Globe till the Promittor come to the Hylegiacal point, and examine again the degree of the Equator at the Meri∣dian: and by substracting the lesser from the greater you will have the number of Degrees that passed through the Meridian whiles the place of the Promittor was brought to the Hy••••g••••∣cal point: and that number of degrees shall be the Arch of D••∣rection.

Example.

I would Direct the Body of the Moon in our Figure afore∣said to Medium C••••••, or the tenth House: I find by the Globe 20••. degr••es 30. minutes of the Equator at the Meridian with the ••eath House and turning the Globe till the prick made to represent the Moon come to the Meridian. I find 227, degrees 20, minutes of the Equator come to the Meridian with it. There∣fore I 〈◊〉〈◊〉 the lesser from the greater viz. 2••3 degrees 3▪ minutes from 227. degrees 2••. minutes, and have remaining 2••▪ degrees 50 minutes.

This 〈◊〉〈◊〉. degrees 50. minutes shews that 23. Years 1••. Moneths must expire ere the Effects promised by the Moons pre∣sent position shall opperate upon the signification of the 〈◊〉〈◊〉 House.

If the Body of the Moon had been Directed to any other point the•• 〈◊〉〈◊〉 Meridian or Horizon; you must have Elevated the Circle of 〈◊〉〈◊〉 〈◊〉〈◊〉 the point proposed; and have under-propped it to that 〈◊〉〈◊〉, and 〈◊〉〈◊〉▪ have turned about the Globe till the prick 〈◊〉〈◊〉 the Moon, had come to the Circle of Position; and then 〈◊〉〈◊〉 degrees of the Equator that should have passed

through the Meridian whiles this motion was making, should be the number of degrees of Direction; and signifie in Time as fore∣said,

PROB. IX.

Of Revolutions: and how they are found by the Globe.

BY Revolution is meant the Annual Conversion of the Sun to the same place he was in at the Radix of any Business. When you would find a Revolution by the Globe, first find the Right Ascension of M••d Heaven at the ••••adix of the Business, as by Prob▪ 26. of the second Book you were directed to find the Right Ascer••••on of the 〈◊〉〈◊〉; and 〈◊〉〈◊〉 add 87 degrees for eve∣ry Y••a•• since the Radix: Then substract 360 so o•••• as you can from the whole and the R••m••••••s shall be the Right Ascension o•• Mid H••aven for the A••••••al Revolu••••on.

I•• y••u 〈◊〉〈◊〉 the number of degrees of the Equator contained between the R••ght A••cension of the Mid H••aven and the Right Ascension of the Sun, and convert that number of degrees 〈◊〉〈◊〉 Time by allowing for every 15. degrees 1 Hour of Time it will shew, if the Suns place be on the Western side of the Meridian the number of Hours and minutes Afternoon the Revolution shall h••ppen on, but if on the East side the Meridian, the number of Hours and minutes Before-noon the Revolution shall happen on.

PROB. X.

How a Figure of Heaven may be erected by the Revoluti∣on thus found.

SEek the degree of Right Ascension of Mid Heaven, and bring it to the Meridian, so shall the four Cardinal points of the Globe be the same with the four Cardinal points in Heaven at the time of the Revolution. The other H••••••ses are 〈◊〉〈◊〉 by the Circle of Position: as in the first Pro∣bleme of this Book▪

The End of the Fourth Book.

Notes

• * 1.1

  Opposite de∣grees and mi∣nutes of the Ecliptick pos∣sess the Cusps of opposite Houses.