List questions from axiomatic-geometry

Published on 22 Aug 2016 - 9:08

800

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Equivalence relation between vectors in Euclidean geometry

Published on 25 Aug 2016 - 20:50

164

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Categorical axiomatization of projective spaces

Published on 26 Sep 2016 - 12:48

255

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Axiomatic geometry - How do you define the measurement of lengths, areas, angles, etc.?

Published on 15 Nov 2016 - 20:51

171

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Do we have to define natural numbers in geometry?

Published on 16 Nov 2016 - 23:14

138

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Axioms of one-dimension geometry in Hilbert's style

Published on 28 Nov 2016 - 8:24

1.1k

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Can we really intersect circles?

Published on 28 Dec 2016 - 14:05

105

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Saccheri quadrilaterals in Hartshorne's "Euclid and Beyond"

Published on 01 Feb 2017 - 16:40

95

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What kind of curves can be defined in euclidean geometry?

Published on 22 Feb 2023 - 10:59

183

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How did Pasch show his axiom was independent of Euclid's?

Published on 28 Feb 2023 - 18:01

116

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Are Pasch's axiom and plane separation postulate equivalent?

Published on 28 Feb 2023 - 18:12

149

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Do Tarski's axioms apply to higher dimensions?

Published on 14 Mar 2023 - 21:25

43

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Pasch's axiom, intermediate value theorem and Jordan curve theorem

Published on 27 Mar 2023 - 6:02

195

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Does the Axiom of Constructibility make Pasch's Axiom unnecessary?

Published on 02 Apr 2023 - 18:19

110

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Prove that the radius of the incircle of one triangle has two times the radius of the incircle of another triangle with Euclidean geometry.

Published on 12 Jul 2023 - 22:02

List Question

Formal definition of trigonometric functions

Equivalence relation between vectors in Euclidean geometry

Categorical axiomatization of projective spaces

Axiomatic geometry - How do you define the measurement of lengths, areas, angles, etc.?

Do we have to define natural numbers in geometry?

Axioms of one-dimension geometry in Hilbert's style

Can we really intersect circles?

Saccheri quadrilaterals in Hartshorne's "Euclid and Beyond"

What kind of curves can be defined in euclidean geometry?

How did Pasch show his axiom was independent of Euclid's?

Are Pasch's axiom and plane separation postulate equivalent?

Do Tarski's axioms apply to higher dimensions?

Pasch's axiom, intermediate value theorem and Jordan curve theorem

Does the Axiom of Constructibility make Pasch's Axiom unnecessary?

Prove that the radius of the incircle of one triangle has two times the radius of the incircle of another triangle with Euclidean geometry.

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