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In geometry, the orthopole of a system consisting of a triangle ABC and a line ℓ in the same plane is a point determined as follows. Let A ′, B ′, C ′ be the feet of perpendiculars dropped on ℓ from A, B, C respectively. Let A ′′, B ′′, C ′′ be the feet of perpendiculars dropped from A ′, B ′, C ′ to the sides opposite A, B, C (respectively) or to those sides' extensions. Then the three lines A ′ A ′′, B ′ B ′′, C ′ C ′′, are concurrent. The point at which they concur is the orthopole. Due to their many properties, orthopoles have been the subject of a large literature. Some key topics are determination of the lines having a given orthopoleand orthopolar circles.

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orthoplumbate, orthopnea, orthopneic, orthopod, orthopoda, orthopraxis, orthopraxy, orthoprism, orthopsychiatric, orthopsychiatrical

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"orthopole." Anagrams.net. STANDS4 LLC, 2024. Web. 15 May 2024. <https://www.anagrams.net/orthopole>.

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