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15
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How do I affirm that a triangle defines a plane?

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#euclidean-geometry #triangles #plane-geometry #axiomatic-geometry
131
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Orientation on a line and equivalence relation

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#geometry #equivalence-relations #axiomatic-geometry
109
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Decomposition of a plane

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#geometry #axiomatic-geometry
228
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Book recommendation for Axiomatic three-dimensional geometry and analytic geometry

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#reference-request #euclidean-geometry #analytic-geometry #book-recommendation #axiomatic-geometry
333
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Converse of the Crossbar Thereom

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#axiomatic-geometry
255
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Line intersecting three parallel lines, in neutral geometry

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#geometry #hyperbolic-geometry #axiomatic-geometry
136
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Boundary lines in Euclid geometry.

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#geometry #axiomatic-geometry
246
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Parallellogram in Hyperbolic Geometry is not composed of two congruent triangles.

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#geometry #hyperbolic-geometry #axiomatic-geometry
95
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What motivated people like Euclid to create such a general axiomatic systems like the one in the book Elements so early in history?

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#euclidean-geometry #math-history #axioms #formal-systems #axiomatic-geometry
189
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Proving Parallel Postulate by showing that it is undecidable

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#geometry #proof-explanation #incompleteness #decidability #axiomatic-geometry
75
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Definition of the sinusoid in terms of differential equation

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#geometry #ordinary-differential-equations #trigonometry #axiomatic-geometry
50
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Perpendicular lines with synthetic geometry and minimal assumptions (axioms)

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#axiomatic-geometry
79
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Do Tarski's (geometry) axioms imply that all zero segments are congruent?

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#euclidean-geometry #axiomatic-geometry
279
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Hilbert's Foundations of Geometry Axiom II, 1 : Why is this relevant?

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#geometry #axioms #axiomatic-geometry
874
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Why is "lies between" a primitive notion in Hilbert's Foundations of Geometry?

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#geometry #euclidean-geometry #axioms #axiomatic-geometry

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