Astronomia Britannica exhibiting the doctrine of the sphere, and theory of the planets decimally by trigonometry, and by tables : fitted for the meridian of London ... / by John Newton ...

CHAP. 27. How to direct a Significator posited in the Signes Descending.

THe Descendent or seventh House or Significator there posited, or in any signe descending, that is, in the 4, 5, 6, 7, 8, or 9 Houses, must be directed to his Promittors, by the oblique Descensions answering to the Elevation of the Pole of the Circle of position of the Significator. As suppose the mid-heaven be in 22. 33 of Gemini. And the Right Ascension thereof, 81. 65. Let the Significator be in 10 de∣grees of Taur••s. The declination thereof 14. 85. North. His distance from the meridian 44. 07. Hence the Elevation of the Pole above that Circle of position is 30, as before.

Let the Promittor be in 25 degrees of Gemini, the declination 23. 40 North: Now the declination of the Significator and Prommittor being the same with the former, and the Pole of the Circle the same, the Ascen∣sional

Differences as well of the Significator as of the Promittor, must needs be the same with the former Example, and consequently the same Aequation of the ark of Direction: if then you would find this ark of Direction, by the Right Ascensions, Adde this Aequation of the ark of Direction, to the Right Ascension of the opposite point of the Promit∣tor: and from their aggregate, subtract the Right Ascension of the opposite point of the Significator, and what remaineth is the ark of Direction.

As the opposite point to this Promittor in the 25 of Gemini, is the 25 of Sagittarius, the Right Ascension whereof is

264. 55

The former Aequation of the ark of Direction

5. 67

Their Aggregate

270. 22

The opposite point to the Significator in the 10 of Tau∣rus is the 10 of Scorpio, whose Right Ascension is

217. 56

Which subtracted from the former aggregate leaveth

52. 64

For the ark of Direction sought.

Or if you will by the oblique Ascensions of these opposite points thus:

The oblique Ascension of the 25 of Sagittarius is

279. 01

The oblique Ascension of the 10 of Scorpio, is

226. 38

There Difference is

52. 63

The ark of Direction as before.

Or lastly, by the oblique Descensions, according to the intention of this Chapter, if you subtract the oblique Descension of the Significator, from the oblique Descension of the Promittor, what remaineth will be the ark of Direction.

As in this Example the oblique Descension of the Promittor, under the elevation of 30 degrees is

99. 01

The oblique Descension of the Significator,

46. 38

Which being subtracted from the oblique Descension of the Promittor, there resteth

52. 63

The ark of Direction sought as before.