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Let the angle BCA be added to each;
therefore
the angles BCA, ABC are less than the angles BCA, ACD.
But
the angles BCA, ACD are equal to two right angles. [1.13]
Therefore
the angles BCA, ABC are less than two right angles.
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T H E E L E M E N T S |
Book I Proposition 17 | |
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(Which is to say that the angle ABC is less than the angle ACD.) Let the angle BCA be added to each; therefore the angles BCA, ABC are less than the angles BCA, ACD. But the angles BCA, ACD are equal to two right angles. [1.13] Therefore the angles BCA, ABC are less than two right angles. |
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