Page:First six books of the elements of Euclid 1847 Byrne.djvu/68

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34
BOOK I. PROP. XXXIII. THEOR.

STRAIGHT lines ( and ) which join the adjacent extremities of two equal and parallel straight lines ( and ) are themselves equal and parallel.

Draw the diagonal.

= (hyp.)

= (pr. 29.)

and common to the two triangles;

= , and = (pr. 4.);

and ∴ || (pr. 27.).

Q. E. D.