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math.GM2020
A New Equilateral Triangle?
Martin Buysse
In any triangle, the perpendicular side bisectors meet the corresponding internal angle bisectors on the circumcircle. If we take those three points as the vertices of a new triang…
math.GM2020★ 1 cited
Theorems of Euclidean Geometry through Calculus
Martin Buysse
We re-derive Thales, Pythagoras, Apollonius, Stewart, Heron, al Kashi, de Gua, Terquem, Ptolemy, Brahmagupta and Euler's theorems as well as the inscribed angle theorem, the law of…