Proposition VI.11 — To two given straight lines to find a third proportional.

Proof

Place the two given segments on lines making an angle. Mark off the second segment beyond the first; draw a parallel to the closing segment through the far endpoint (I.31). By VI.2 the new mark-off is the required third proportional.

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Depends on (2)

I.31Proposition I.31Through a given point to draw a straight line parallel to a given straight line.
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…

Required by (dependents) (1)

VI.19Proposition VI.19Similar triangles are to one another in the duplicate ratio of the corresponding sides.

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