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
orresponding verticesare concurrent at S, which proves the theorem.1 1 See Caseys Sequel to Euclid, ed. 1900, pp. 77-88. Caseys proofs are basedexclusively upon metrical properties. COLLINE ATI ON. 83 4. Theorem.—// in two complete quadrilaterals five pairs ojcorresponding sides intersect in five… … \ ;A |8f V \ A i / \ \ 1 /\ \ I / \\ 1 / \>/ Fig. 33. 33. Now ABC 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 SyDD also passes through S. Hence, as AA, CC, DD passthrough S, the triangles ACD…
Geometry, Projective · Geometry, Analytic
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