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Book I   Proposition 33
And, since AB is equal to CD, and BC is common,
    the two sides AB, BC are equal to the two sides DC, CB; and the angle ABC is equal to the angle BCD;
therefore
    the base AC is equal to the base BD;

and the triangle ABC is equal to the triangle BCD, and the remaining angles will be equal to the remaining angles restectively, namely those which the equal sides subtend; [I.4]
therefore
    the angle ABC is equal to the angle CBD.
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