To be frank, no. let me rephrase your proof and you might see why not:Originally Posted byOReilly

heres an idea, draw a line from a to b so that all angles formed are ninety degrees, do the same for b and c, but starting the line at the point where the other line touches b. now connect the points that form on a and c and you'll find that all angles created are ninety degrees, proving a and c are parrallel.