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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.
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 …
- 119
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