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Therefore, given a segment of a circle, the complete circle has been described.
Being what it was required to do.
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T H E E L E M E N T S |
Book III Proposition 25 | |
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But, if the angle ABD be less than the angle BAD, and if we construct,
on the straight line BA and at the point A on it, an angle equal to the angle ABD,
the center will fall on DB within the segment ABC, and the segment ABC
will clearly be greater than a semicircle. Therefore, given a segment of a circle, the complete circle has been described. Being what it was required to do. |
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