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posted by  Bob on 8/25/2008 9:32:21 PM  |  status: Live  

Set Theory

Course Textbook Chapter Problem
Discrete Math Discrete Source ISBN 0536992908 2-1 81
Question Details:
Let C be a circle and let D be the set of all diameters of C. What is ÇD? (Diameter  is defined as  a line segment through the center of the circle with its endpoints on the circumference of the circle.)
 
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posted by Galois on 8/25/2008 10:55:28 PM  |  status: Live
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Response Details:
Given that C is the circle and D is the set of all diameters of C.we know diameter passing through the centre and touches the end points on the circle.
Then CD is nothing but C, since the common part of both circle and diameters is circle only.
∴  CD = C.
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