Prop 33: Straight lines which join the ends of equal and parallel straight lines in the same directions are themselves equal and parallel original : 1. can someone help me write a proposition with the same content as the original one but using todays language and notation. 2. and also a two column proof based on euclids proof thank you so much!!! i will add extra points if you can help me with details !!! Solution GIVEN AB AND CD ARE 2 LINES SUCH THAT AB || CD AB=CD TO PROVE THAT AC||BD.