Postulate of Collinearity and Parallelism

Abstract

In this article, we would frame a new postulate, postulate of collinearity and parallelism, in order to prove parallel postulate as a theorem; hence getting a solution to the chaos regarding Euclid’s fifth postulate. We would also prove some other postulates (axioms) to be theorems and indeed prove the derived propositions of parallel postulate in order to conclude the postulate of collinearity and parallelism worthy to be a substitute of the fifth postulate of Euclid.