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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 solve the question, we will analyze the two given postulates step by step, focusing on undefined terms, consistency, and their relation to Euclid's postulates. ### Step 1: Identify Undefined Terms 1. **Postulate (i)**: "Given any two distinct points A and B, there exists a third point C which is in between A and B." - **Undefined Terms**: - The term "point" is undefined. We know that points represent locations but do not have a specific definition in this context. - The term "between" is also not clearly defined without a coordinate system or additional context. ...
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