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

Rh 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.