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A Note on Tucker’s Harmonic Quadrilateral

Published online by Cambridge University Press:  03 November 2016

Edwakd M. Langley
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Extract

In a previous note it has been pointed out as a corollary to the proof of Ptolemy’s Theorem that, if in a cyclic quadrilateral ABCD, AB.CD = BC.DA, and if M be the mid-point of the diagonal BD (2m),

and

so that A and C are each the image in DB of the inverse of the other w.r.t. M, the constant of inversion being m2.

Type
Research Article
Information
The Mathematical Gazette , Volume 11 , Issue 164 , May 1923 , pp. 306 - 309
Copyright
Copyright © Mathematical Association 1923

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References

* See M. Ant. Gob, Sur une série de quadrangles. Congrès de Marseilles, 1891.