Proposition XI.17 — If two straight lines be cut by parallel planes, they will b…

Proof

Draw a parallelogram structure between the parallel planes; apply VI.2 (basic proportionality) in each pair of cross-sectional lines.

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Depends on (2)

VI.2Proposition VI.2If a straight line be drawn parallel to one of the sides of a triangle, it will cut the sides of the triangle…
XI.16Proposition XI.16If two parallel planes be cut by any plane, their common sections are parallel.

Required by (dependents) (1)

XI.25Proposition XI.25If a parallelepipedal solid be cut by a plane parallel to opposite planes, then, as the base is to the base, so will…

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