Read Feb. 2, 1758.

THE cases in trigonometry, that can properly be called different from one another are no more than four; which may be resolved by three general rules or theorems, expressed in the sines of arcs only; using the supplemental triangle as there is occasion.

Philos. Trans. Vol. L. Tab. XX. p. [539].

J. Mynde sc.

CASE I.

When of three given parts two stand opposite to each other, and the third stands opposite to the part required.

Theorem I.

The sines of the sides are proportional to the sines of angles opposite to them.

Demonstration.