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Answer by Blue for Is this a new point on the nine-point-circle of a triangle?
Here's a proof for a particular configuration. (Adjusting it for generality is left as an exercise to the reader.)Let rectangle $\square AFDE$ circumscribe $\triangle ABC$, with $B$ and $C$ on...
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Answer by Jean Marie for Is this a new point on the nine-point-circle of a...
Let $CA_1C_1B_1$ be a circumscribed rectangle to triangle $ABC$ with common vertex in $C$.Here is a simple analytical proof :showing the validity of your construction of point $M$ (the fact that...
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Is this a new point on the nine-point-circle of a triangle?
I was trying to get a feel for how to solve another question about the largest triangle that can fit in a unit square, by constructing the smallest enclosing square of a triangle in Geogebra. While...
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