tag:blogger.com,1999:blog-6933544261975483399.post5278690107005626663..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Euclid's Elements Book I, Proposition 5: (Pons Asinorum)Antonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-6933544261975483399.post-38809361181373508262010-12-26T04:32:15.125-08:002010-12-26T04:32:15.125-08:00let alpha=a and beta=b.
As ABC is an isosceles tri...let alpha=a and beta=b.<br />As ABC is an isosceles triangle ,base angles are congruent.<br />AB=BC implies angle BAC = angle BCA<br />hence a=a'...(1)<br />angle DAC + angle CAB= 180..(angles in a linear pair)<br />angle ECA + angle BCA= 180..(angles in a linear pair)<br />Hence,<br />angle DAC + angle CAB = angle ECA + angle BCA<br />b + a = a'+ b'<br />b = a - a'+ b'<br />b = b'....(by (1))Neha Prabhunenoreply@blogger.com