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| Math Central | Quandaries & Queries |
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Question from john, a student: A parallel line to a given line through a given point not on the a given line |
Hi John,
Call the given point P. Mark two distinct points Q and R on the given line.
Put the compass point at Q and the pencil point at R. Without changing the compass setting move the point to P and draw an arc.
Put the compass point at Q and the pencil point at P. Without changing the compass setting move the point to R and draw an arc to intersect the previous arc at S. Draw a line containing P and S.
Prove The line through P and S is parallel to the given line.
Harley
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