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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 293

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T, or pO —pO : pO : : 00 : OT.Also, PO - PO : PO : : 00^ OT.Hence OT is constant for all positions of the parallel radii. Prove that ifthe parallel radii are on different sides of the line joining the centres, T isthe point where the internal tangent cuts 00.Queries.—How many tangents can be… … 800. To describe a circle tan-gent to a given circumferenceand also to a given line at a givenpoint. Sugs.—There may be two cases—1st. When the given circle is exteriorto the one sought; and 2d. When itis interior. In either case the centreof the required circle is in the perpen-dicular AO. In the…

Geometry · Trigonometry

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