Book I, Proposition 3

Given two unequal straight lines, to cut off from the greater a straight line of equal length to the less.



Proof.

Draw from C a straight line CI of length equal to AB (proposition I.2). Draw a circle with center C and radius CI. The point of intersection between the circle and CD cuts off a length equal to AB.

Drag e.g. A, B, C and D.




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