## The Elements: Books III-IX |

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ABCD according added alternately angle BAC antecedent applied base Book called centre circle circumference common measure compounded consequent construction contained continued proportion corresponding course cube definition described diameter divided drawn duplicate enunciation equal equal angles equiangular equimultiples Euclid excess expression extremes fact fall figure follows four fourth given gives greater greatest Heiberg Hence impossible joined least less magnitudes means measure meet method multiple multitude namely necessary Nicomachus parallel parallelogram particular plane possible prime produced proof Prop proportional proposition proved ratio reason rectangle rectilineal reference remaining respectively right angles segment sense sides similar similarly Simson square straight line suppose taken taking Theon third touch triangle triangle ABC unit whole