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Generalisation of the “Orthopole” and Allied Theorems

Published online by Cambridge University Press:  20 January 2009

J. A. Third
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Extract

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The greater part of this paper consists of generalisations of well-known theorems regarding perpendiculars to the sides of a triangle, or other base-lines, the perpendiculars being replaced by isoclinals.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , February 1912 , pp. 17 - 34
Copyright
Copyright © Edinburgh Mathematical Society 1912

References

page 19 note * See a paper by Prof. Neuberg in Mathesis, 3rd series, vol. 1, p. 157.

page 23 note * See a paper on the Orthopole by Mr William Gallatly (Glasgow University Press).

page 25 note * The corresponding statement for the orthopole is given in Mr Gallatly's paper, p. 4.

page 27 note * Proved in Mr Gallatly's paper, p. 5.

page 30 note * There have been various generalisations of the Brooard circle, e.g. that of Mr Griffiths in the Proceedings of the London Mathematical Society, Vol. XXV., pp. 75–85 and 376–388, and Vol. XXVI., pp. 173–183: but all those known to me differ widely from the one now given.