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Sharing endpoint at infinity

Published on
#geometry #hyperbolic-geometry #noneuclidean-geometry
602
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Why don't we have many non euclidean geometries out there?

Published on
#axioms #noneuclidean-geometry
253
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Construction of Parallel Lines in Absolute Geometry

Published on
#euclidean-geometry #noneuclidean-geometry
505
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Why is the mirror descent considered a "non-Euclidean" algorithm?

Published on
#optimization #euclidean-geometry #convex-optimization #nonlinear-optimization #noneuclidean-geometry
171
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How does a polar triangle characterize/ define a hyperbolic ellipse?

Published on
#geometry #conic-sections #hyperbolic-geometry #noneuclidean-geometry
1.2k
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Why is the hyperbolic plane homeomorphic to $\mathbb{R}^2$, whilst the 2-sphere isn't?

Published on
#general-topology #hyperbolic-geometry #geometric-topology #noneuclidean-geometry
519
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Is Non-Euclidean geometry really "Non"?

Published on
#geometry #axioms #noneuclidean-geometry
216
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Isometries on the Hyperbolic Plane

Published on
#inner-products #hyperbolic-geometry #isometry #noneuclidean-geometry
106
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Relation between curvature on surface, curvature of surface in space, and curvature of space

Published on
#curvature #noneuclidean-geometry
68
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Use scale in projection to solve for curvature

Published on
#projective-geometry #curvature #noneuclidean-geometry
206
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Why is the center distorted in the hyperbolic circle on the Poincare Disk?

Published on
#geometry #noneuclidean-geometry
305
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Mapping between the Poincare disk model and a negatively curved surface

Published on
#geometry #differential-geometry #hyperbolic-geometry #noneuclidean-geometry
1.2k
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Solving for angle of hyperbolic triangle in Poincare disk

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#hyperbolic-geometry #noneuclidean-geometry
1.1k
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Similarities between non-Euclidean geometries

Published on
#curvature #noneuclidean-geometry
810
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Neutral geometry: If one triangle has angle-sum $180^\circ$, then all triangles have angle-sum $180^\circ$

Published on
#geometry #noneuclidean-geometry #axiomatic-geometry

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