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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 153

An illustration from Plane trigonometry, and its application to mensuration and land surveying. Accompanied with all the necessary logarithmic and trigonometric tables, 1852, leaf 153
entagon ABCDFwill be changed into an equivalent triangle HCG. It is obvious the same process may be applied to a polygonhaving any number of sides; each step lessening the number ofsides by one, until we finally arrive at an equivalent triangle. PROBLEM IV. To make a polygon similar to a given… … draw lines to all the angles of thepolygon. Then take GH, GK, GL,GM, GN, each in the same ratio tothe corresponding lines GA, GB,GC. GD, GF, that the perimeterof the required polygon is to be tothe perimeter of the given polygon.Join the points H, K, L, M, N, andthe polygon HKLMN will be thepolygon…

Plane trigonometry · Surveying

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