Let (xi, yi, zi), i = 1, 2, 3, 4, 5, 6, 7, 8, 9, be a

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Let (xi, yi, zi), i = 1, 2, 3, 4, 5, 6, 7, 8, 9, be a set of nine distinct points with integer coordinates in xyz space. Show that the midpoint of at least one pair of these points has integer coordinates.

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 03, 2016 01:39 AM

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Let (xi, yi, zi), i = 1, 2, 3, 4, 5, 6, 7, 8, 9, be a

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We must recall from analytic geometry that the midpoint of the segment whose e...View the full answer

Discrete Mathematics and Its Applications

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