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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
, L, M, N, andthe polygon HKLMN will be thepolygon required. These polygons are evidentlysimilar, for the corresponding sidesare parallel (Geom., B. IY. Prop.II.) ; and since in. the triangleGAB, HK is parallel to AB, wehave HK : AB : : GK : GB ; and as the side KL is parallelto BC, we have GK : GB… … PROBLEM V. To draw a complex figure similar to another figure, on the same or different scales, by means of rectangles. ^ ) { V \ -^ ) ( \ ^v V Surround the given figure by a square or a rectangle of con-venient size, and divide it by pencil lines, intersecting perpen-dicularly, into squares or…

Plane trigonometry · Surveying

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