Undefined terms in the postulates:
•Here, there is no information given about the plane whether the points are in same plane or not.
•Also, n number of points lie in a plane. But here the position of the point C is not specified that whether it lies on the line segment joining AB or not.
Yes, these postulates are consistent when we deal with these two situations:
(i) Point C is lying in between and on the line segment joining A and B.
(ii) Point C not lies on the line segment joining A and B.
No, they don’t follow from Euclid’s postulates. They follow the axioms.
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In the given figuRS Aggarwal & V Aggarwal - Mathematics