Talk:Brocard points

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Source needed for "epicycles of a triangle"

See {{alink|Construction}}:

The three circles just constructed are also designated as epicycles of triangle ABC.

This is the first time I recall seeing a circle described as an epicycle of a triangle. Nor have I been able to find a source with such a usage. There are plenty of sources describing the epicyclic theory of planetary motion, where an epicycle is characterised as being a [small] circle [moving on or] about a [larger] circle. (The Greek roots in the word also support this meaning.) And every online reference to epicycle of [a] triangle … seems to be YAWC (Yet Another Wikipedia Clone) that quotes this very article. Does anybody have a reliable source that attributes epicycles to a triangle, rather than to a circle? yoyo (talk) 14:07, 8 July 2018 (UTC)