Cauchy's Arm Lemma on a Growing Sphere

Details Cauchy's Arm Lemma on a Growing Sphere Cauchy's Arm Lemma on a Growing Sphere

2008-04-07

arxiv.org/abs/0804.0986v1

Computer Science

Computational Geometry

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

Cauchy's Arm Lemma on a Growing Sphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cauchy's Arm Lemma on a Growing Sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cauchy's Arm Lemma on a Growing Sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-729868