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Constructing a parallel line

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In this exercise you are given a line AB and a point X not on the line. Your task is to construct a line through X which is parallel to AB.

You will find the transferring an angle exercise very useful.

The diagram contains an example of a point C not on the line AB such that the orange line through C is parallel to AB


Hint. This exercise is explained in Euclid Book I, Proposition 31. Powered by MathJax