Chapter X. The periodital Divisions of Time（续 4）

Number of temporal hours - s= -2© + © 12 | | 15)205 18 0

Diurnal equatorial hours of the first point of Gemini in

the latitude of Alexandria - - - - - 13 41°18: ame sae Diurnal horary times of the first point of Gemini in the ae ‘latitude of Southern Britain... - = - - = 19° 40’ 10” Number of temporal hours ee >: Bi 22, ! 15)236 2 0|

Diurnal equatorial hours of the first point of Gemini in the latitude of Southern Britain - - - - 15 44 8

hand, equatorial hours are also to be reduced inito temporal hours by being multiplied by fifteen, the product of which is to be divided by the horary times proper to the given a or night in the said climate. |

_ The degree ascending in the ecliptic, at any given tem- ‘poral hour, may also be ascertained by multiplying the number of temporal hours since sunrise, if the given hour be diurnal, but if nocturnal, since sunset, by their proper horary times ; and the product is to be added, in the successton of the signs, to the aggregate number (as shewn by the ascensions proper to the climate) of the Sun’s degree, if the given hour he diurnal, but, if nocturnal, to that of the degree diametrically opposite, and that particular degree of the ecliptic which “shall correspond with the total number thus found in the ascensions of the climate will be the degree then ascending®.

But, in order to ascertain the degree on sane meridian above the earth, the number of temporal hours since the preceding noon are also to be multiplied by their proper horary times, and the product is to be added to the aggregate number of the Sun’s right ascension; and that degree of the ecliptic, with which the. total number as found in the aggregate times of right ascension shall carrespond, wl then be on the mendjiant. The degree on the oriental horizon will, however,

* Let the first point of Gemini be on the meridian above the earth ; the number of temporal hours since sunrise will then be 6, by which - 17° 6’ 30” are to be multiplied. ‘The product will be 102239’: this, added to 45° 5’, the aggregate number of the first point of Gemini in the latitude of Alexandria, will give 147° 44’, which, in the ascensions of the eHimate in question, will correspond to the Sd degree of Vifgo, and shew that to be the degree ascending. In the latitude of _ Southern Britain the total number would still amount to the same ; viz. 147° 44’, but it would shew 7° and about 30’ of Virgo to be ascending. ;

t Let the first point of Gemini be three temporal hours past the | meridian: these hours reduced to degrees, in the latitude of Alcx-

also shew what degree occupies the meridian; for, by subtracting 90 times (the amount of the quadrant) from the aggregate number ascribed to the said ascending degree in the Table proper to the-climate, the number so reduced will be found, in the aggregate times of the Table of Right Ascension, to correspond with the degree on the meridian. And again, on the other hand, by adding 90 to the aggregate times ascribed by right ascension to the degree on the me ridian above the earth, the degree ascending may be obtain-

| _ ed, for it will be that degree which corresponds to that total

number, as stated in the Table proper to the climate*.

The Sun always preserves an equal distance in equatorial hours from all parts of the same meridian ; but his distance in equatorial hours from different meridians varies according

‘to the degrees of distance between meridian and meridian.

andria, will give 51° 19, which, added to the right ascension of the first point of Gemini, make 109° 3', shewing the 18th degree of Cancer on the meridian. In the latitude of Southern Britain, these hours would produce 59°, which, added to the right ascension, would make 116° 44’, and shew the 25th degree of Cancer on the meridian.

* Thus, in the latitude of Alexagdria, when the first point of Gemini is three temporal howrs past the meridian, the “16th degree of Libra will be on the ascendant, and the aggregate times of ascension of that, degree in the said latitude are 199° 3’: by subtracting 90 from this sum, the remainder will be 109° 3’, the right ascensi-y of the mid-heaven answering to the 18th degree of Cancer. the latitude of Southern Britain, the 18th degree of Libra would be on the ascendant, of which degree the aggregate times of ascension in that latitude are 206° 44’, from which, if 90 be subtracted, the remainder will be 116° 44’, the right ascension of the mid-heaven answering to the 25th degree of Cancer.—The converse of these operations seems too obvious to need explanation.

TABLE OF LATITUDES, AS SHEWN BY THE DURATION OF THE LONGEST DAY. 3

Extract from the Table of Ascensions (contained in the Almagest ), calculated for every tenth Degree of the Zodiac.

ty Sphere under pk eaten the Equator, Lat 51° 30’ N Diurnal Arc Diurnat Are SIGNS = 12 Hours. . p16 He. 30 Mts 5 Times | dgere- | Times) Aggre+ Limes) Augre

D, MM. D. M, D. MM. D. MM.) DD. M, DD. M, JAries..... pee a /1O 9,10} 9.10] 6.48 6.48 4. 5) 4, 5

Cancer,. ‘é hath a ] 0.55 100.55 11.15 ra 6.13 née 36 BFBi

a01 SRC TE GITIRE tasalI37- Virgo. seeeces j 9-25] 161.95 11.40 0/156.5: if 4. 19)151,27 aA

Jal 9.40|180. « f.3e liso, ola, TH TBII60. 0 -10| 189. 10}1 1.92) 191, 3914. 15)194,15 aa 11,38 203. 7]14.18/208.33

; 0/10.55|270. 0 11.1242 285. C OT 1.36 303.45 Capricornus,.. Mp .56 10.56 55 280.5! 280.65 10.98 10.98); aS, 10.14/313,55

oot “4 30110-341302 76 “o.17/5 14, 55 “7,99|330.17 ‘{Aquarius,..... 10}10, [o|942.59) 8.37/323.32 6.2! oe

Pisces. .... +, {10 . 30) 9.15)/550..5¢ A858. Ext |3 9.101360. ¢ 6,48/360.

“> The foregoing extracts have been made to shew the entire agreement between the astronomy of the Tetrabiblos and that of the Almagest. The Tables herein given from the latter work, are, of course, now superseded by others of modern ‘calculation, infinitely more complete.

The Centiloquy, or Hundred Aphorisms of Claudius Piolemy* ; otherwise called, the Fruit of his Four Books.

I, JupGmMENT must be regulated by thyself, as well as ‘by the science ; for it 1s not possible that particular forms of events should be declared by any person, however scientific ; since the understanding conceives only a certain general idea of some sensibfe event, and not its particular form. It is, therefore, necessary for him who practises herein to adopt inference. They only: who are inspired by the deity can predict particulars.

II. When an enquirer shall make mature search into an expected event, there will be found no material difference between the event itself and his idea of it.

III. Whosoever may be adapted to any particular event

# Moxon’s Mathematical Dictionary says, that the “Centiloquium — “ is a book containing one hundred astrological aphorisms, common- “ly ascribed to Ptolemy, as its author, but by some to Hermes Tris- ‘““ megistus.” This account, however, seems to be inaccurate ; for the CentiJoquy attributed to Osiris’s cotemporary and counsellor (eulogized by Lilly as having been “one of the-wisest of all mortal.

~ men, and as ancient as Moyses”), is very different from that known

by. the name of the Kagwoc, or “ Fruit of the Tetrabiblos.” Whether this latter Centiloquy be really the work of Ptolemy is another question: it has been usually edited as his, but some of the aphorisms seem to relate to horary questions only, which are not adverted to in

‘the Tetrabiblos, and there are others also which do not appear to result from the doctrine of that book.

APPENDIX. | 225 or pursuit, will assuredly have the star indicative thereof very potent.in his nativity.

IV. Amind apt in knowledge will svcoes truth more readily than one practised in the highest branches of science.

V. A skilful person, acquainted with the nature of the stars, is enabled to avert many of their effects, and to prepare himself for those effects before they arrive.

VI.. It is advantageous to make choice of days and hours at a time well constituted by the nativity. Should the time be adverse, the choice will in no respect avail, however favourable an issue it may chance to promise.