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تسجيل مستخدم جديدCauchys Arm Lemma on a Growing Sphere
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We propose a variant of Cauchys 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 Toponogovs Comparison Theorem, Legendres Theorem and Cauchys Arm Lemma.
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