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#1 2006-10-21 09:23:59

siva.eas
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Straightedge and compass constructions

Suppose you are solving a ruler and a straigtedge construction. Do you have to assume the compass is collaspible eventhough Euler proved it is possible to copy a line segment with a collaspible. Do I have to copy a line segment using Euler's method or could I just lift the compass and move it to another place and draw the segment?

 

#2 2006-10-21 13:51:56

George,Y
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Re: Straightedge and compass constructions

If you want to duplicate the length of a line segment, you just need a compass.

If you also want the same direction, construct a parallel line first.


X'(y-Xβ)=0
 

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