[ 477 T’ 
P R O. B L E M III. 
Suppojing the fame things known as in the 
lajl^ to find the perpendicular bc, when 
the hypotenuje is nearly a quadrant. 
. Let AC=j6, as before, and fuppofe BC=^-f ; then, 
lin. BC = hn. ac x hn. a, or a-47 z - a x vf. f = ab, whencej 
- ---- - X vf. f =tang. oi X CO. ver. hn. /S-t.cc x vf. 
E X A M P L E.v 
LetA=2 3° 28' acx8o° o'. 
Tang. A 9-6377 
Verf. hn^xo. AC, ro®’ 8. 1816 
f nearly 2^® 41 fine 7.8193 
CorrecTiorr • — i 
f 22 40 and bc = 23° 5' 35"... 
This problem will be of ufe to find the declination of ’ 
the ecliptic, and the latitude of a planet near the limits. 
Thefe three inftances will fuffice for an application of 
this method to right-angled Ipherical triangles ; we ill all 
now give two problems of oblique triangles.. 
PRO 
7 
