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Consider two ‘postulates’ given below:(i...

Consider two ‘postulates’ given below:(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? Explain.

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To analyze the two given postulates, we will break down the problem into several steps: ### Step 1: Identify Undefined Terms First, we need to identify if the postulates contain any undefined terms. - **Postulate (i)** states: "Given any two distinct points A and B, there exists a third point C which is in between A and B." - **Postulate (ii)** states: "There exist at least three points that are not on the same line." ...
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