NCERT Ex 5.1 Q3 - Introduction to Euclid's Geometry
Question: Consider two postulates: (i) Given any two distinct points A and B, there exists a third point C which is in between A and B. (ii) There exist at least three points that are not on the same line. Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid's postulates?
Answer: Yes, they contain undefined terms. Yes, they are consistent. No, they do not follow from Euclid's postulates, but from general modern axioms.
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