APPLICATION 
OF NAPIER’S RULES FOR SOLVING THE CASES OF RIGHT-AN- 
GLED SPHERIC TRIGONOMETRY TO SEVERAL CASES OF 
OBLIQUE-ANGLED SPHERIC TRIGONOMETRY. 
By NATHANIEL BOWDITCH, As M. et As As S. 
—— oa 
te na We ag whole of Right- 
Ans Spleens vigvamnicty. ia xenced to two simple analogies or 
Sameera: seme, fo een > be remembered, are much made 
aticians. — | The object of the present memoir is to 
point out a: ion in the expression of those rules} so that 
they may fmelude the solutions of most of the cases of Oblique-Angled 
Spheric bare ae in a more simple manner than in their original 
form. 
In every Right: Adipled Spheric. Triangle there are five circular. 
parts 5 ‘namely, the two legs, the complement of the hypotenuse, and 
the complements of the two oblique angled, ‘which are named adjacent 
or opposite, according to their positions with respect to each other. 
cae oe 2 abe 
three parts join, wba, sahichin in the middle, is called the middle part: 
if they do not join, two of them must, and the other part, which is sepa- 
rate, is called the middle part, and the other two, opposite parts, as in 
Fig. 1,2. Then, Fe ce eectee ant nat ta 
geen by, Nepies, will become jet | ge 
