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Modern geometry (1908)

Godfrey, C. (Charles), 1873-1924, Siddons, A. W. (Arthur Warry) joint author · Cambridge, University Press · leaf 165

An illustration from Modern geometry, 1908, leaf 165
may be shown that X is the pole of YZ, and Ythe pole of ZX. Ex. 576. Prove in detail that X ia the pole of YZ, and Y the poleof ZX. G. S. M. G. 10 146 TRIANGLES IN PERSPECTIVE Triangles in perspectivk. Definition. Two figures are said to be in perspective if thejoins of corresponding pairs of… … The triangles ABC, AbC are such that AA, SB, CC meetat O. Let BC, BC meet at P; CA, CA at Q; AB, AB at R. LetOAA cut BC in S, BC in S. * Gerard Desargues {born at Lyons, 1593 ; died, 1662). TRIANGLES IN PERSPECTIVE 147 To prove that PQR is a straight line. {PBSC} = {PBSC} as both ranges lie on the…

Geometry, Modern

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