Consider two distinct points and lying on a plane.
MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry
Problem
Consider two distinct points A and B lying on a plane.
(i) Define an axiom and a postulate, giving one example of each from geometry.
(ii) State Euclid’s first postulate.
(iii) Explain why Euclid’s first postulate guarantees that exactly one straight line can pass through the points A and B.
(iv) Do we need an additional proof to establish the uniqueness of this line beyond the postulate itself? Give reasons for your answer.