A) Given four points A,B,C,D such that A*B* C and A*C* B: Prove that A,B,C,D are four distinct points. B) Prove that A,B,C,D are collinear. Please be as clear and legible as possible, showing and explaining all the steps. Thank you.
A) Given four points A,B,C,D such that A*B* C and A*C* B: Prove that A,B,C,D are four distinct points. B) Prove that A,B,C,D are collinear. Please be as clear and legible as possible, showing and explaining all the steps. Thank you.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the following exercises, taking into account the Hilbert´s betweenness and congruence axioms.
A) Given four points A,B,C,D such that A*B* C and A*C* B: Prove that A,B,C,D are four distinct points.
B) Prove that A,B,C,D are collinear.
Please be as clear and legible as possible, showing and explaining all the steps. Thank you.
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I made a mistake in A, the correct is:
A) Given four points A,B,C,D such that A*B* C and A*C* D: Prove that A,B,C,D are four distinct points.
Given this correction, could you Do exersice A) and B).
Thak you
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