Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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[Classical Geometries] How do you solve this question? Thank you

1. Triangle Inequality Let F be a Pythagorean ordered field. Prove the triangle inequality in the corresponding plane IIF: namely if A,B,C are three pointsin II, then dist(A,C) ≤ dist(A, B) + dist(B,C), and the equality holds if and only if A, B, C are collinear and B is between A and C.
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Transcribed Image Text:1. Triangle Inequality Let F be a Pythagorean ordered field. Prove the triangle inequality in the corresponding plane IIF: namely if A,B,C are three pointsin II, then dist(A,C) ≤ dist(A, B) + dist(B,C), and the equality holds if and only if A, B, C are collinear and B is between A and C.
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