Given an Angle and a Leg oppofite, to find the Angle adjacent to the given Leg.

The Proportion lies in the Mansion c ki, and it is,

As cg Sine Comp. of b-20: 12— 9.97243 Toge Sine Comp. of a —

So ci Radius

23:30 9.96240

90: 00-10.00000

To ik Sine of c

77 : 44- 9.98997

CASE the Twelfth.

Given an Angle and a Leg oppofite, to find

the Hipothenufe.

CASE the Thirteenth.

Given the Legs, to find an Angle.

Sab

Plate 4.

Given {46 57 48} Required a c. Fig. 14.

20 125

To ce Sine Comp. of a c 60.00 9,69906

To c e Sine Comp. of a c 60. oc 9.69901

SECT. VI.

Spherical Trigonometry Oblique.

CASE the Firft.

GIVEN two Sides and an Angle oppofite to one of them, to find the Angle oppofite to the other, if it be known whether the required Angle be acute or obtufe.

The Angle at a 27 19 if acute, but if obtufe, it is the Complement of that to 180 De grees, viz. 152:41.

CASE the Second.

Given two Sides and an Angle oppofite, to find the contain'd Angle.

Let fall the Perpendicular bd by Solution the 9th; and then because the Angle abe is required, find the Angle d be by the catholick Proportion, where you find the Side bc, is the middle Part, and the other extream Conjuncts, therefore the Proportion inverted is,