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Adams's Hexagons and Circles

Published online by Cambridge University Press:  20 January 2009

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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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1892

References

* Adams's proof of this is somewhat different.