290 Description and Use of the

are called legs, and the fide opposite to itthe hypothenufe.

329. An oblique angled spherical tri-angle has its angles greater or less than 90degrees: the solution of Ipherical trianglesconsists in finding the measure of its sidesand angles.

330. The sides of any spherical trianglemay be changed into angles, and the anglesinto sides; if for any one side, and its op-posite angle, their complement to a semi-circle be taken.

CASE I.PROBLEM LXVI.

The hypothenufe and one leg beinggiven, to find the rest.

In the right angled spherical triangleABC, fig. 29. are given

The hypothenufe B C 64 40 ?The leg AC 42 12 >

the leg

to find

s the{the

BA

ACS

M 2 le 4 cBA

331. Fig. 30. elevate the pole P to 42 012', the quantity of the given leg AC, andnumber the same quantity on the strong

brass