Now, since the two sides AB and BC equal the two sides KH and HL, and the angle at B equals the angle KHL, therefore the base AC equals the base KL.
And, since the sum of the angles ABC and GHK is greater than the angle DEF, while the angle ABC equals the angle KHL, therefore the angle GHL is greater than the angle DEF.
I.24And, since the two sides GH and HL equal the two sides DE and EF, and the angle GHL is greater than the angle DEF, therefore the base GL is greater than the base DF.
But the sum of GK and KL is greater than GL. Therefore the sum of GK and KL is much greater than DF.
But KL equals AC, therefore the sum of AC and GK is greater than the remaining straight line DF.
Similarly we can prove that the sum of AC and DF is greater than GK, and further, the sum of DF and GK is greater than AC.