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Results tagged with triangles
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user 265714
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 $G$. …
- 1,109
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?
- 1,109
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 …
- 1,109
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? …
- 1,109