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A Three Dimensional Analogue of Pappus's Theorem

Published online by Cambridge University Press:  20 November 2018

B.B. Phadke*
Affiliation:
University of Southern, California
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If P, Q, R are any three points on a line a and p, q, r are any three lines that pass through a point O and lie in a plane n. which meets the line a in a point A distinct from O, then the three lines l = Qr ⋅ Rq, m = Rp ⋅ P r, n = P q ⋅ Qp lie in a plane (through O).

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1968