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
, i.e., lie on thesame straight line. Triangleswith this property are calledhomologous,^ Fig. 30. Any twotriangles for which the linesjoining corresponding vertices are concurrent may always beconsidered as resulting by the foregoing projection and rabatte-ment, so that the following theorem holds:… … ---j@y^ Fig. 30. 0/ corresponding sides, in symbols /t^\Tj n r \^^ Ca^^^are collinear on s. * Casey in his sequel to Euclid uses the word homologous. Mr. Leudesdorfin his translation of Cremonas Projective Geometry, p. lo, uses homological. Seealso PONCELET, loc. cit. COLLIN EA TION. 8i Conversely:…
Geometry, Projective · Geometry, Analytic
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