Question
There exist at least three points that are not on the same line. Does the postulate contain any undefined term? Is this postulate consistent? Does this follow from Euclid’s postulates? Explain.
✓
Answer
Yes, this postulate contains undefined terms, which are point and angle.
Point $C$ does not lie on the line segment joining $A$ and $B.$
No, they don't follow from Euclid's postulates. This follow an axiom, stated as given two distinct points; there is a unique line that passes through them.
Point $C$ does not lie on the line segment joining $A$ and $B.$
No, they don't follow from Euclid's postulates. This follow an axiom, stated as given two distinct points; there is a unique line that passes through them.
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