Page:First six books of the elements of Euclid 1847 Byrne.djvu/59

F two triangles have two sides ( and ) of the one respectively equal to two sides ( and ) of the other, but their bases unequal, the angle subtended by the greater base () of the one, must be greater than the angle subtended by the less base () of the other.

=, > or <

is not equal to

for if = then = (pr. 4.)

which is contrary to the hypothesis;

is not less than

for if <

then < (pr. 24.),

which is also contrary to the hypothesis:

∴ > .

Q. E. D.