6 - ASTRONOMICAL AnD, 
will be px. .px being found fay, Sine co-Px : Sine co-px 
: Sine co-PZ : Sine co-pZ. 
For angle PpZ, or z at the pole of the ecliptic, Sine feg- 
mos px : Sine fide Px 6 "Tangent angle pPZ: Tangent 
angle PpZ. 
When the perpendicular Zx falls upon the fide of P oppo- 
fite to ps or between E and Lp, the angle PP ` is acute ; but 
when i it falls beyond. ps it is obtufe.. 
By the angle PpZ, the loni of the wet de- 
gree is determined thus :—When the neareft equinoctial point 
dis y, fubítra& this angle from = or 3°, adding 12* to 3°, when 
| neceffary ; the remainder will be the longitude of the 1 nonage- 
fimal degree. If the neareft equinoctial point is a, ‘add "this 
angle to to es or r3 » TS the Sngl gill betig Joogitidsó of the non- 
ot] 
Sic the doping goes nes be now v elucidated " a par- 
ticular - 
EX A M P L E. 
Required the longitude and altitude of the nonagefimal degree 
eclip | * at Greenwich, Auguft 
5, 4766, at E 29! 7" P. = ‘apparent time ? 
The folar and lunar elements from MAYER’s pen 
| At 5^ 29! 370P. M. 
The fun's longitude E 13° 9*4 
The obliquity of the ecliptic | 99 28 19 
| i 
