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Morley's Trisection Theorem: an Extension and its Relation to the Circles of Apollonius

Published online by Cambridge University Press:  20 January 2009

W. L. Marr
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In Morley's trisection theorem there are three triads of parallel lines which by their intersection with each other form equilateral triangles. The three lines EF, E11F11, E22F22 (v. Taylor and Marr) form one of these triads, and the equations are:—

where

and β γ β1, γ1, etc., are similarly defined.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , February 1913 , pp. 136 - 150
Copyright
Copyright © Edinburgh Mathematical Society 1913