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There are given two parallel lines, a segment of length b, and a point A. Construct with compass and ruler a line that passes through A and intercepts the two parallel lines such as the segment of interception of the two parallel lines is of length b.

When A is between the two parallel lines I can construct a circle of diameter b and center A, but when A is not between them I dont know what to do. Please do not use the Intercept theorem as it should be solved only with compass and ruler

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First construct one line that crosses the parallel lines at a distance of $b$.

Then construct a parallel to it through $A$.

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  • $\begingroup$ Do you work for Staples? That was easy ;-) . +1 $\endgroup$ – Oscar Lanzi Nov 13 '16 at 10:39

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