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Comparison triangle
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<p>In <a href="/facts/Metric_geometry/gnBBRXtc">metric geometry</a>, comparison triangles are constructions used to define <a href="/facts/CAT(k)_space/fmnJjYsN">higher bounds on curvature</a> in the framework of <a href="/facts/Geodesic_metric_space/e0aAePjd">locally geodesic metric spaces</a>, thereby playing a similar role to that of higher bounds on <a href="/facts/Sectional_curvature/GpI9zQDh">sectional curvature</a> in <a href="/facts/Riemannian_geometry/pPEzjyQC">Riemannian geometry</a>. </p>