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Theorems on Perspectivity

Published online by Cambridge University Press:  03 November 2016

R. T Robinson
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Extract

Any plane KLPQN cuts the edges of a tetrahedron ABCD in six points forming a complete quadrilateral. If UVW is the triangle formed by the diagonals of this quadrilateral, then

  1. (i) the triangular f aces BCD, ACD, . of the tetrahedron are each of them in perspective with the triangle UVW from points A1, B1, C1, D1 respectively

  2. (ii) the tetrahedra ABCD, A1B1C1D1 are in perspective f rom U, V, W and from a fourth point Ω.

Type
Research Article
Information
The Mathematical Gazette , Volume 24 , Issue 258 , February 1940 , pp. 9 - 14
Copyright
Copyright © Mathematical Association 1940

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