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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 77

An illustration from Plane trigonometry, and its application to mensuration and land surveying. Accompanied with all the necessary logarithmic and trigonometric tables, 1852, leaf 77
en the perpendicular is not given, it may be found as follows : the angle ACB will be found bv dividing 360° bv the number of sides in the polygon; and the angle BCD, which is one-half of ACB, can be found by dividing 180° by the number of sides. Hence if we denote the number of sides by n, we… … P \ of s x cotan. 180° n a) And, the perimeter being n x s, we shall obtainarea = \ ofp x n x s = J of s* x n x cotan. 180° n (2-) If the side of the polygon is taken as a unit, then s = 1, and 180° area = i of n x cotan. n (3.) If, in formula (3), we take successively n = 3, 4, 5, 6, 7, &c,we…

Plane trigonometry · Surveying

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