24
BOOK I. PROP. XXIV. THEOR.
F two triangles have two sides of the one respectively equal to two sides of the other (
to and 
to 
), and if one of the angles (
) contained by the equal sides be greater than the other (
), the side (
) which is opposite to the greater angle is greater than the side (
) which is opposite to the less angle.
Make = (pr. 23.),
and = (pr. 3.),
draw 
and 
.
Because = (ax. I. hyp. const.)
∴ 
= 
(pr. 5.)
but 
<
and ∴ < 
,
∴ > (pr. 19.)
but = (pr. 4.)
∴ > .
Q. E. D.
