Page:First six books of the elements of Euclid 1847 Byrne.djvu/71

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BOOK I. PROP. XXXVI. THEOR.
37

PARALLELOGRAMS ( and ) on equal bases, and between the same parallels, are equal.

Draw and ,

= = , by (pr. 34, and hyp.);

= and || ;

= and || (pr. 33.)

And therefore is a parallelogram:

but = = (pr. 35.)

= (ax. 1.).

Q. E. D.