2. State Euclid's fifth portulate

Study the following statements " Two intersecting lines cannot be perpendicular to the same line " Check whether it is an equivalent version to the Euclid's fifth postulate.

How would you rewrite Euclids fifth postulate so that it would be easier to understand?

Attempt to prove Euclid 's fifth postulate using the other postulates and axioms led to the discovery of several other geometries.

Consider the following statement: There exists a pair of straight lines that are everywhere equidistant from one another.Is this statement a direct consequence of Euclid's fifth postulate? Explain.

Does Euclids fifth postulate imply the existence of parallel lines? Explain.

Euclid's Fifth Postualte|Equivalent Versions Of Euclid's Fifth Postulate (1)|Equivalent Versions Of Euclid's Fifth Postulate (2)|NCERT Example |NCERT Exercise

Introduction To Euclid's Geometry - Axioms And Postulates|Euclid's Postulates|Theorem|Equivalent Versions Of Euclid's Fifth Postulate

Why is Axiom 5, in the list of Euclids axioms, considered a universal truth? (Note that the question is not about the fifth postulate.)

Euclid's Postulate