Hyperbolic geometry in terms of point-reflections or of line-orthogonality.
Pambuccian, Victor (2004)
Mathematica Pannonica
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Pambuccian, Victor (2004)
Mathematica Pannonica
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Zenas Hartvigson (1974)
Fundamenta Mathematicae
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Oswald Wyler (1953)
Compositio Mathematica
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William Richter, Adam Grabowski, Jesse Alama (2014)
Formalized Mathematics
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This is the translation of the Mizar article containing readable Mizar proofs of some axiomatic geometry theorems formulated by the great Polish mathematician Alfred Tarski [8], and we hope to continue this work. The article is an extension and upgrading of the source code written by the first author with the help of miz3 tool; his primary goal was to use proof checkers to help teach rigorous axiomatic geometry in high school using Hilbert’s axioms. This is largely a Mizar port of Julien...
Ladislav Kvasz (1998-1999)
Philosophia Scientiae
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Jarosław Kosiorek (1991)
Mathematica Bohemica
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We present an axiom system for class of full Euclidean spaces (i.e. of projective closures of Euclidean spaces) and prove the representation theorem for our system, using connections between Euclidean spaces and elliptic planes.
Odenhal, Boris (2006)
Mathematica Pannonica
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