Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Chapter 14, Problem 17RP
To determine

To find the locus of the midpoints of all chords of a circle that have a fixed point of the circle as an end point.

Expert Solution & Answer
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Answer to Problem 17RP

A circle that has a diameter same as the radius of the original circle and touches the original circle internally at one point which is the fixed end point of all the chords.

Explanation of Solution

Given:

The circle with chords.

Calculation:

The locus of the midpoints of all chords of a circle that have a fixed point of the circle as an end point will be a circle that has a diameter same as the radius of the original circle and touches the original circle internally at one point which is the fixed end point of all the chords.

Chapter 14 Solutions

Geometry For Enjoyment And Challenge

Ch. 14.1 - Prob. 11PSBCh. 14.1 - Prob. 12PSBCh. 14.1 - Prob. 13PSBCh. 14.1 - Prob. 14PSBCh. 14.1 - Prob. 15PSBCh. 14.1 - Prob. 16PSBCh. 14.1 - Prob. 17PSBCh. 14.1 - Prob. 18PSBCh. 14.1 - Prob. 19PSBCh. 14.1 - Prob. 20PSBCh. 14.1 - Prob. 21PSBCh. 14.1 - Prob. 22PSBCh. 14.1 - Prob. 23PSBCh. 14.1 - Prob. 24PSCCh. 14.1 - Prob. 25PSCCh. 14.1 - Prob. 26PSCCh. 14.1 - Prob. 27PSCCh. 14.1 - Prob. 28PSCCh. 14.1 - Prob. 29PSCCh. 14.1 - Prob. 30PSCCh. 14.2 - Prob. 1PSACh. 14.2 - Prob. 2PSACh. 14.2 - Prob. 3PSACh. 14.2 - Prob. 4PSACh. 14.2 - Prob. 5PSBCh. 14.2 - Prob. 6PSBCh. 14.2 - Prob. 7PSBCh. 14.2 - Prob. 8PSBCh. 14.2 - Prob. 9PSBCh. 14.2 - Prob. 10PSBCh. 14.2 - Prob. 11PSCCh. 14.2 - Prob. 12PSCCh. 14.2 - Prob. 13PSCCh. 14.2 - Prob. 14PSCCh. 14.2 - Prob. 15PSCCh. 14.2 - Prob. 16PSCCh. 14.2 - Prob. 17PSCCh. 14.3 - Prob. 1PSACh. 14.3 - Prob. 2PSACh. 14.3 - Prob. 3PSACh. 14.3 - Prob. 4PSACh. 14.3 - Prob. 5PSACh. 14.3 - Prob. 6PSACh. 14.3 - Prob. 7PSACh. 14.3 - Prob. 8PSBCh. 14.3 - Prob. 9PSBCh. 14.3 - Prob. 10PSBCh. 14.3 - Prob. 11PSBCh. 14.3 - Prob. 12PSBCh. 14.3 - Prob. 13PSBCh. 14.3 - Prob. 14PSBCh. 14.3 - Prob. 15PSCCh. 14.3 - Prob. 16PSCCh. 14.3 - Prob. 17PSCCh. 14.3 - Prob. 18PSCCh. 14.3 - Prob. 19PSCCh. 14.3 - Prob. 20PSCCh. 14.3 - Prob. 21PSDCh. 14.4 - Prob. 1PSACh. 14.4 - Prob. 2PSACh. 14.4 - Prob. 3PSACh. 14.4 - Prob. 4PSACh. 14.4 - Prob. 5PSACh. 14.4 - Prob. 6PSBCh. 14.4 - Prob. 7PSBCh. 14.4 - Prob. 8PSBCh. 14.4 - Prob. 9PSBCh. 14.4 - Prob. 10PSBCh. 14.4 - Prob. 11PSBCh. 14.4 - Prob. 12PSBCh. 14.4 - Prob. 13PSBCh. 14.4 - Prob. 14PSCCh. 14.4 - Prob. 15PSCCh. 14.4 - Prob. 16PSCCh. 14.4 - Prob. 17PSCCh. 14.4 - Prob. 18PSCCh. 14.4 - Prob. 19PSDCh. 14.5 - Prob. 1PSACh. 14.5 - Prob. 2PSACh. 14.5 - Prob. 3PSACh. 14.5 - Prob. 4PSACh. 14.5 - Prob. 5PSACh. 14.5 - Prob. 6PSACh. 14.5 - Prob. 7PSACh. 14.5 - Prob. 8PSACh. 14.5 - Prob. 9PSACh. 14.5 - Prob. 10PSACh. 14.5 - Prob. 11PSACh. 14.5 - Prob. 12PSBCh. 14.5 - Prob. 13PSBCh. 14.5 - Prob. 14PSBCh. 14.5 - Prob. 15PSBCh. 14.5 - Prob. 16PSBCh. 14.5 - Prob. 17PSBCh. 14.5 - Prob. 18PSBCh. 14.5 - Prob. 19PSBCh. 14.5 - Prob. 20PSCCh. 14.5 - Prob. 21PSCCh. 14.5 - Prob. 22PSCCh. 14.5 - Prob. 23PSCCh. 14.5 - Prob. 24PSCCh. 14.5 - Prob. 25PSCCh. 14.5 - Prob. 26PSDCh. 14.6 - Prob. 1PSACh. 14.6 - Prob. 2PSACh. 14.6 - Prob. 3PSACh. 14.6 - Prob. 4PSACh. 14.6 - Prob. 5PSACh. 14.6 - Prob. 6PSACh. 14.6 - Prob. 7PSACh. 14.6 - Prob. 8PSBCh. 14.6 - Prob. 9PSBCh. 14.6 - Prob. 10PSBCh. 14.6 - Prob. 11PSBCh. 14.6 - Prob. 12PSBCh. 14.6 - Prob. 13PSBCh. 14.6 - Prob. 14PSBCh. 14.6 - Prob. 15PSBCh. 14.6 - Prob. 16PSBCh. 14.6 - Prob. 17PSCCh. 14.6 - Prob. 18PSCCh. 14.6 - Prob. 19PSCCh. 14.6 - Prob. 20PSCCh. 14.6 - Prob. 21PSCCh. 14.6 - Prob. 22PSDCh. 14.6 - Prob. 23PSDCh. 14.6 - Prob. 24PSECh. 14 - Prob. 1RPCh. 14 - Prob. 2RPCh. 14 - Prob. 3RPCh. 14 - Prob. 4RPCh. 14 - Prob. 5RPCh. 14 - Prob. 6RPCh. 14 - Prob. 7RPCh. 14 - Prob. 8RPCh. 14 - Prob. 9RPCh. 14 - Prob. 10RPCh. 14 - Prob. 11RPCh. 14 - Prob. 12RPCh. 14 - Prob. 13RPCh. 14 - Prob. 14RPCh. 14 - Prob. 15RPCh. 14 - Prob. 16RPCh. 14 - Prob. 17RPCh. 14 - Prob. 18RPCh. 14 - Prob. 19RPCh. 14 - Prob. 20RPCh. 14 - Prob. 21RPCh. 14 - Prob. 22RPCh. 14 - Prob. 23RPCh. 14 - Prob. 24RPCh. 14 - Prob. 25RPCh. 14 - Prob. 26RPCh. 14 - Prob. 27RPCh. 14 - Prob. 28RPCh. 14 - Prob. 29RPCh. 14 - Prob. 30RPCh. 14 - Prob. 31RPCh. 14 - Prob. 32RP

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