Cauchy's Arm Lemma on a Growing Sphere

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dc.creatorAbel, Zachary
dc.creatorCharlton, David
dc.creatorCollette, Sebastien
dc.creatorDemaine, Erik D.
dc.creatorDemaine, Martin L.
dc.creatorLangerman, Stefan
dc.creatorO'Rourke, Joseph
dc.creatorPinciu, Val
dc.creatorToussaint, Godfried
dc.date2008-04-07
dc.date.accessioned2026-07-07T09:30:48Z
dc.date.available2026-07-07T09:30:48Z
dc.descriptionWe propose a variant of Cauchy's Lemma, proving that when a convex chain on one sphere is redrawn (with the same lengths and angles) on a larger sphere, the distance between its endpoints increases. The main focus of this work is a comparison of three alternate proofs, to show the links between Toponogov's Comparison Theorem, Legendre's Theorem and Cauchy's Arm Lemma.
dc.identifierhttps://arxiv.org/abs/0804.0986
dc.identifierhttp://arxiv.org/abs/0804.0986
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158238
dc.subjectComputational Geometry
dc.titleCauchy's Arm Lemma on a Growing Sphere
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