Plane trigonometry, and its application to mensuration and land surveying. Accompanied with all the necessary logarithmic and trigonometric tables (1852)
Perkins, George R. (George Roberts), 1812-1876 · New York, D. Appleton · leaf 82
x 360° = r-242=7° 14 31. o v _no 500 ^=CX36° = 2485^28 5. A sector whose area is 10 square feet corresponds to howgreat an angle at the centre, provided the diameter of the circleis 10 feet ? Equation (1) gives immediately [see equation (1), Prob. IX.] n = %- x 360° = iL x - x 360° = M, x - x 360°… … since A = R2 x ^, by equation (5), Prob. IX., area of triangle ABC = J R2 x sin. n.[Prob. in., Second Rule.] 72 MENSURATION. [CHAP. V. Hence the area of the segment BHCF, being the differencebetween the sector and triangle, is x it—i sin. n\ x E2. . . (1.) ,360 And the area of the segment BHCG,…
Plane trigonometry · Surveying
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