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Results tagged with euclidean-geometry
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user 125584
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.
10
votes
Do two new special points in any triangle exist?
These two points are the focuses of Steiner circumconic https://en.m.wikipedia.org/wiki/Steiner_ellipse.
- 119
2
votes
Yiu's equilateral triangle-triplet points
To prove that $MNP$ is equilateral note that hyperbola through $ABCF_1F_2$ is orthogonal i.e. goes through the orthocenter of $MNP$ and also goesthrough its circumcenter $F_1$. So this hyperbola is Fe …
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