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CTK Exchange
Trebawa
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Dec-05-07, 10:42 PM (EST) |
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"Straightedge construction of angle bisectors"
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I would like to know if their is any way to construct angle bisectors using intersections between straight lines between corners and midpoints only- no folding or compasses. Help is much appreciated! |
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alexb
Charter Member
2147 posts |
Dec-06-07, 09:42 AM (EST) |
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1. "RE: Straightedge construction of angle bisectors"
In response to message #0
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Just to make sure: the allowed operations are 1. Drawing a line
2. Marking a midpoint of a segment
3. Finding the intersection of two straight lines Is that correct? |
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mpdlc
Member since Mar-12-07
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Dec-09-07, 12:46 PM (EST) |
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3. "RE: Straightedge construction of angle bisectors"
In response to message #0
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I believe is not possible unless you be given a circumference and its center already in the paper containing the angle. If that is the case you can easily get the bisector you will find a procedure in the classical book of 100 Great Problems of Elementary Mathematics author H. Dorrie edited by Dover problem 34 pages 165-170 Check also the www.cut-the-knot.org/impossible/straightedge.shtml of this site. mpdlc |
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Trebawa
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Dec-10-07, 08:10 PM (EST) |
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4. "RE: Straightedge construction of angle bisectors"
In response to message #3
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Thank you for eliminating that possibility for me; it is often as helpful to know how you can't do something as how you can. |
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