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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 467

An illustration from Plane and solid geometry, 1912, leaf 467
, and 5. Find the angles. Ex. 1576. Find the angle (1) of an equilateral spherical triangle,(2) of a lune, each equivalent to one third the surface of a sphere. Ex. 1577. Find the angle of a lune equivalent to an equilateralspherical triangle one of whose angles is 84°. 456 SOLID GEOMETRY… … Given spherical polygon ^^CZ) ... with n sides; denote thesum of its angles by T. To prove area of polygon ABCD ..., expressed in sphericaldegrees, = T—{n — 2)180. Argument 1. From any vertex such as A, draw all possible diagonals of the polygon,forming n — 2 spherical A, I, II, etc. 2. Then,…

Geometry, Plane · Geometry, Solid

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