...•-•-— (2), A AA sin c* a sin 7 /\ c sin a sin as A ft* + ay=C', -- ?r = l .^f (3). ,AA sin o# a sin /3 27. The application of the formulae in these tables,...the two angles: there are given 0 + \//, or else 0 —>jk and . Y> to determine 0 and \1/. sin 0 ' First solution. Let e be an angle, such that sin e...

...relative position being supposed known as in Art. 17). For the question is always reducible to this : — Given the sum or difference of two angles, and the ratio of their sines, to find the angles. Now, knowing the ratio of the sines, we know the ratio of their sum to their difference, which gives...

...between which successive pair of points it lies). For the problem is reducible to the following : — Given the sum or difference of two angles, and the ratio of their sines ; find the angles. Since the ratio of sines is known, we know the ratio tan (half sum) : tan (half...