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Adams's Hexagons and Circles
Published online by Cambridge University Press: 20 January 2009
Extract
In triangle ABC, AD, BE, CF are concurrent at O; through O parallels are drawn to EF, FD, DE, meeting the sides of ABC in L, M, P, Q, S, T, and the sides of DEF in L′, M′, P′, Q′, S′, T′. The two hexagons LMPQST, L′M′P′Q′S′T′ thus formed have the following properties:
(1) The sides L′M′, P′Q′, S′T′ of the latter are parallel to the sides of ABC.
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- Copyright © Edinburgh Mathematical Society 1892
References
* Adams's proof of this is somewhat different.