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Page:First six books of the elements of Euclid 1847 Byrne.djvu/80

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46
BOOK I. PROP. XLV. PROB.

TO conſtruƈt a parallelogram equal to a given reƈtilinear figure () and having an angle equal to a given reƈtilinear angle ()

Draw the rectilinear figure into triangles.

cone MJ = J | having hg = 0 (pr. 42.) as = VJ having 4-0 (pr. 44.) >. .2 0K having 4M = = a7 (pr. 44-)

_-4

= MY is a parallelogram. (prs. 29, 14, 30.)

having | = | .

and mw—_—_—_— ddiidng

Q. E. D.