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Search options not deleted user 265714
1 vote
0 answers
158 views

A certain circle formed by perpendiculars

If six points are chosen, two points on each side of a triangle, such that they have the same ratio of distances to vertices, then the perpendicular lines through those points meet at six concyclic p …
3 votes
1 answer
113 views

Point of concurrency of three circles which pass through vertices of a triangle and erected ...

Let $ACD, ABF$, and $BCE$ form equilateral triangles (internal or external). Then circles $ADF, BEF$, and $CDE$ are concurrent at point $G$. …
1 vote
0 answers
65 views

Name of the perspector of the orthic triangle and excentral triangle

The orthic triangle and tangential triangles of a given triangle are in perspective. What's the official kimberling center associated with this perspector? …
3 votes
1 answer
278 views

Name this kimberling center

The lines which connect the vertices of a triangle with the tangent points between the Spieker circle and the medial triangle are concurrent. Which kimberling center does this point correspond to?