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A treatise on special or elementary geometry (1877)

Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 339

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TJieo.—The pole and polar2mnt are inter changeable. Dem.—TV being the polar to P, we areto show that TV, parallel to TV and pass-]15=:^>^3^ ing through P, is polar to C; i.e.^ that any^^cant, as ACC, passing through C, is di-vided harmonically in the intersections withthe circumference, C, and… … Fig. 509. 10011 * Tlieo.—The polars of all the points in a right line passthrough the pole of that line; and, con-versely, The poles of all straight lines luhichpass through a given point are in the polarof tliat point. Dem.—1st. TV being a given line and P its pole,we are to show that the polar to…

Geometry · Trigonometry

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