## The Thirteen Books of Euclid's Elements, Volume 3 |

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ABCD apotome applied base binomial straight line Book breadth called circle commensurable in length commensurable in square common cone construction contained corresponding cylinder definition diameter divided double draw drawn equal Euclid figure follows given greater height Hence incommensurable inscribed irrational straight line joined less magnitudes mean measure medial area medial straight line meet parallel parallelepipedal parallelogram pentagon perpendicular plane polygon prism produces proof proportional PROPOSITION proved pyramid rational straight line reference remainder respectively right angles roots segment side similar Similarly solid sphere square number square on AB squares on AC straight lines commensurable Suppose Take third triangle twice the rectangle whence whole