For the Cuspe of the 3 house.
The Oblique Ascension is 222. 82173, whose complement is the arch ♈ D 137. 17827. The half whereof is 68. 58913. The summe and dif∣ference of the angles are the same with these for the 11 house.
Therefore I say first,
| Sine ½ Summe | 72. 85437 co. ar. | 0. 0297429 |
| Sine ½ Differ. | 49. 32937 | 9. 8799374 |
| Tangent ½ ♈ D | 68. 58913 | 10. 4065869 |
| Tangent ½ Diff. | 63. 71032 | 10. 3062672 |
For the 2 Operation.
| Cosine ½ Summe | 72. 85437 co. ar. | 0. 5304705 |
| Cosine ½ Differ. | 49. 32937 | 9. 8140541 |
| Tangent ½ ♈ D | 68. 58913 | 10. 4065869 |
| Tangent ½ Sum | 79. 94186 | 10. 7511115 |
| 1 Arch adde | 63. 71032 |
Summe 143. 65218 whose complem. 216. 34782 or ♏ 6. 34782 is the point of the Ecliptique for the Cuspe of the third house.
The six Orientall houses being thus found, the other 6 are also found, by consequence, being the same degrees and parts of the opposite signes.
And thus we have not onely erected a figure for the time given, but composed a Table, for the generall erecting a figure in this latitude, for by adding together the first and second numbers, in every of these proportions, there is composed 2 numbers for every house, to each of which the Artificiall tangent of halfe the oblique Ascension being added, their aggregates are the tangents of two arches, which added together is the distance of the Cuspe of the house from the first point of Aries. One∣ly note that if the oblique Ascension be more then 180 deg. you must take the tangent of halfe the complement to a whole circle; And to find the Cuspe of the house, you must also take the complement of the added arches, as shall be cleared by example.
| 11 & 3 hous. | Ascendent | 12 & 2 hous. | |
| 1 Oper. | 9. 8996803 | 9. 9367870 | 9. 9294508 |
| 2 Oper. | 10. 3445246 | 10. 5977713 | 10. 5186555 |
Having found the oblique Ascensions of the houses as before was shew∣ed, take out the tangent of half thereof from a Table of Tangents, whose Radius is 10. 0000000, and set them down twice on your paper as you see in the following example, then seek in the top of the Table, the house whose cuspe you would find; and under the same you have two numbers, the first of which being added to one of the tangents in the paper, and Page 34 the second to the other, will give you the tangents of two arches, whose aggregate is the Cuspe desired.
Example.
The Oblique Ascension of the 11 house was before found to be 102. 82173. And the tangent of the halfe thereof 51. 41086 is 10. 0980083 the first number in the Table under the 11 house is 9. 8996803 their same rejecting Radius 9. 9976886, is the tangent of 44. 84740. The second number in the Table.
| Tangent | 51. 41086 | 10. 0980083 |
| 1 Number | 9. 8996803 | |
| Tangent | 44. 84740 | 9. 9976886 |
| Tangent | 51. 41086 | 10. 0980083 |
| 2 Number | 10. 3445246 | |
| Tangent | 70. 15211 | 10. 4425329 |
| 1 Arch | 44. 84740 | |
| Summe | 114. 99951 |
2 Example.
The Oblique Ascension of the 2 house was before found to be 192. 82173 The tangent of halfe the complement 83. 58913 is 10. 9493879
| Tangent | 83. 58913 | 10. 9493879 |
| 1 Number | 9. 9294508 | |
| Tangent | 82. 47036 | 10. 8788387 |
| Tangent | 83. 58913 | 10. 9493879 |
| 2 Number | 10. 5186555 | |
| Tangent | 88. 05055 | 11. 4680434 |
1 Arch. 82. 47036 Summe 170. 52091 whose complement ••••47909▪ is the Cuspe desired.
The Cuspe of your houses being thus found, draw your figure after this manner, and then place the Signes and Degrees on the Cuspes of their proper houses, beginning with the 10 house.
| 10 house ♊ 14. 17. | The opposite houses are in the opposite Signes. | 4 house ♐ 14. 17. |
| 11 house ♋ 24. 99. | The opposite houses are in the opposite Signes. | 5 house ♑ 24. 99. |
| 12 house ♌ 25. 27. | The opposite houses are in the opposite Signes. | 6 house ♒ 25. 27. |
| Ascendent ♍ 17. 90. | The opposite houses are in the opposite Signes. | 7 house ♓ 17 90. |
| 2 house ♎ 09. 47. | The opposite houses are in the opposite Signes. | 8 house ♈ 9. 47. |
| 3 house ♏ 06. 34. | The opposite houses are in the opposite Signes. | 9 house ♉ 6. 34. |
The 12 signes being placed in the figure we must next enquire for the true places of the Planets, with the Dragons head, the which according to the doctrine of the second Book at the time proposed are as followeth.
| Suns place | ♍ 4. 07. | ☊ ♏ 1. 40. | ♃ ♌ 5. 19. | ♀ ♏ 16. 58. |
| Moons place | ♊ 26. 24. | ♄ ♌ • 5. 19. | ♂ ♑ 8. 87. | ☿ ♎ 19. 81. |
The places of the Planets being thus found, consider under what signe any of them falleth, which being observed, note which of the houses con∣tain the signe in which the planet is, observing the number of Degrees, and in due order place the planet in that house.
