Euclid's Postulate 1: A straight line can be drawn from any point to any point.

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Euclid's Postulate 1

What is a postulate?

Given any two points, a straight line can be drawn joining those two points. Try moving either point. Note that the line can always be constructed between the two points.

Note:

This postulate does not state that only one straight line can be drawn between the two points.

Challenge:

Can more that one distinct straight line be drawn between two points? What must one assume to state that more than one straight line can be drawn between two points?