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How much of Euclid's number theory can be reproduced in Hilbert's axiomatization of geometry?

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#geometry #logic #arithmetic #axiomatic-geometry
256
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Axioms of order in geometry and ordered fields

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#geometry #axioms #ordered-fields #axiomatic-geometry
1.3k
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Prove that the Euclid's parallel postulate is false on the hyperboloid model

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#hyperbolic-geometry #axiomatic-geometry
142
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Straightedge and fixed compass constructions in Hilbert

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#axiomatic-geometry
1k
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Question about Pasch's Postulate, line going through all three sides of a triangle

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#geometry #triangles #axiomatic-geometry
94
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Plane geometry.

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#geometry #euclidean-geometry #axiomatic-geometry
1.2k
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How to find the area of intersection of two circles using axiomatic geometry?

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#circles #area #axiomatic-geometry
342
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Is is possible to prove that two systems of axioms are equivalent

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#axioms #peano-axioms #axiomatic-geometry
667
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Interior and exterior of a polygon in Hilbert axioms

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#geometry #axiomatic-geometry
741
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Problem of axiomatic euclidean geometry

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#geometry #euclidean-geometry #solid-geometry #axiomatic-geometry
370
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Ordering angles

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#geometry #axiomatic-geometry
285
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Conditions for a dual geometry to be a model of incidence geometry

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#geometry #proof-writing #euclidean-geometry #axiomatic-geometry
201
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Existence of Right Angle in Hilbert Axioms

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#angle #axiomatic-geometry
111
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Importance of Axiomatic Geometry

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#geometry #soft-question #axiomatic-geometry
117
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Using another congruence criterion as axiom in Hilbert's axiomatic geometry

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#reference-request #euclidean-geometry #axioms #plane-geometry #axiomatic-geometry

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