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An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)

Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 93

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 93
XAXare collinear, i.e., lie on thesame straight line. Triangleswith this property are calledhomologous,x Fig. 30. Any twotriangles for which the linesjoining corresponding vertices are concurrent may always be.considered as resulting by the foregoing projection and rabatte-ment, so that the… … .-:®VS Fig. 30. A B ) of corresponding sides, in symbols .1 „x > y, are collinear on s. B,C2 (v, Zy 1 Casey in his sequel to Euclid uses the word homologous. Mr. Leudesdorfin his translation of Cremonas Projective Geometry, p. 10, uses homological. See also Poncelet, loc. cit. COLLINEATION. 8l…

Geometry, Projective · Geometry, Analytic

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