Godfrey, C. (Charles), 1873-1924, Siddons, A. W. (Arthur Warry) joint author · Cambridge, University Press · leaf 149
be two equicross ranges, and ifA A, BB, CC be concurrent, then dd must pass throughthe point of concurrence. … fig. 76. Let O be the point of concurrence of AA, BB, CC.If dd does not pass through O, let OD cut AB in D.Then {AB, CD} = {AB, CD} = {AB, CD}. . A^. D[B^ _ AC. DB ** C^.aF ~ CB . AD . D^ _ DB ■• A^~A^ .*. D coincides with D, .. DD passes through O. CROSS-BATIO 131 Note. This theorem and Theorem 51…
Geometry, Modern
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