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math.HO2019
A Generalization of Desargues' Involution Theorem
Nicholas Phat Nguyen
This paper states and proves a generalization of the well-known Desargues involution theorem from plane projective geometry.
math.HO2019
The Triangle Altitudes Theorem in Hyperbolic Plane Geometry
Nicholas Phat Nguyen
We provide a new formulation and proof of the triangle altitudes theorem in hyperbolic plane geometry, together with an easily computed discriminant to distinguish between differen…