Page:First six books of the elements of Euclid 1847 Byrne.djvu/56

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22
BOOK I. PROP. XXII. THEOR.

GIVEN three right lines the sum of any two greater than the third, to construct a triangle whose sides shall be respectively equal to the given lines.


Assume = (pr. 3.).

Draw = (pr. 2.),

and = (pr. 2.).


With and as radii,

describe and (post. 3.);

draw and ,

then will be the triangle required.


For = ,

= = (const.),

and = = (const.).

Q.E.D.