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Two Geometrical Transformations

Published online by Cambridge University Press:  20 January 2009

J. A. Third
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The transformations discussed in the present paper are, like the isogonal and isotomic transformations, particular cases of the general birational quadratic transformation, in which points correspond to points, and lines to conics passing through three fixed points. They seem to possess some interest in connection with the Geometry of the Triangle.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , February 1900 , pp. 11 - 24
Copyright
Copyright © Edinburgh Mathematical Society 1900

References

page 19 note * See Mathesis, VIII., p. 81, and Casey's Conics, p. 448.

page 23 note * E. Lemoine : Notes de Géométrie, Deux modes de génération de quelques points remarquables, Association française, Congrès de Besançon, 1893.