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#1 2006-10-20 11:23:59

siva.eas
Member
Registered: 2005-09-17
Posts: 166

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?

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#2 2006-10-20 15:51:56

George,Y
Member
Registered: 2006-03-12
Posts: 1,306

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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