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Are XI.1 and XI.7 of Euclid’s Elements equivalent?

XI.1 A part of a straight line cannot be in the plane of reference and a part in plane more elevated.

XI.7 If two straight lines are parallel and points are taken at random on each of them, then the straight line joining the points is in the same plane with the parallel straight lines

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Are XI.1 and XI.7 of Euclid’s Elements equivalent?

Are XI.1 and XI.7 of Euclid’s Elements equivalent?