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 96
r corresponding verticesare concurrent at S, which proves the theorem.^ ^ See Caseys Sequel to Euclid, ed. 1900, pp. 77-8exclusively upon metrical properties. Caseys proofs are based COLLIN EATION. 83 4. Theorem.—If in two complete quadrilaterals -five pairs ofcorresponding sides intersect in five… … 33. Now^5C and ABC are homologous triangles, consequentlyAA, BB, CC pass through a fixed point S. Also BCD andBCD are homologous, and as BB and CC pass through 5,DD also passes through S. Hence, as AA, CC, DD passthrough S, the triangles ACD and ACD are also homologous.Now AD and AD, CD and CD…
Geometry, Projective · Geometry, Analytic
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