Proof
Lay off a separate transversal containing the prescribed number of
equal units (I.3 repeatedly). Join the far ends and draw parallels
to that join through each unit division (I.31). By VI.2 these
parallels mark off equal fractions on the given line.
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Depends on (3)
- I.3Proposition I.3Given two unequal straight lines, to cut off from the greater a straight line equal to the less.
- 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…
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