Page:First six books of the elements of Euclid 1847 Byrne.djvu/77

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BOOK I. PROP. XLII. THEOR.
43

O construct a parallelogram equal to a given triangle and having an angle equal to a given rectilinear angle .

Make = (pr. 10.)

Draw .

Make = (pr. 23.)

Draw (pr. 31.)

= twice (pr. 41.)

but = (pr. 38.)

∴ = .

Q. E. D.