Comparison triangle
id:
comparison-triangle-315-16552336
title:
Comparison triangle
text:
Define M k 2 as the 2-dimensional metric space of constant curvature k . So, for example, M 0 2 is the Euclidean plane, M 1 2 is the surface of the unit sphere, and M − 1 2 is the hyperbolic plane. Let X be a metric space. Let T be a triangle in X , with vertices p , q and r . A comparison triangle T ∗ in M k 2 for T is a triangle in M k 2 with vertices p ′ , q ′ and r ′ such that d = d , d = d and d = d . Such a triangle is unique up to isometry. The interior angle of T ∗ at p ′ is called the c
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Comparison_triangle
date created:
date modified:
2023-08-12T00:49:12Z
main entity:
{"identifier":"Q5156041","url":"https://www.wikidata.org/entity/Q5156041"}
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13
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