Displaying similar documents to “On the planarity of the equilateral, isogonal pentagon.”

Tarski Geometry Axioms

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...

An axiom system for full 3 -dimensional Euclidean geometry

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.