(Solved): Q1-2 thx 1. Following the examples of Proposition I.1 and Proposition I.2, give an updated version ...

1. Following the examples of Proposition I.1 and Proposition I.2, give an updated version of Euclid's proof of Proposition I.5. Be sure to justify each step, substitute mathematical symbols where appropriate, and include helpful diagrams as needed. Compare Euclid's proof with that of Pappus. Which do you prefer? Why? Why do you think Euclid chose his own proof instead of the shorter version? 2. Give an updated version of Euclid's proof of Proposition I.6. Be sure to justify each step, substitute mathematical symbols where appropriate, and include helpful diagrams as needed. When writing a proof by contradiction it is helpful to the reader to declare your intention at the start. This can be accomplished by writing Proof (by contradiction): at the start, or announcing your intended direction with the first sentence of the proof.