What is the logical and mathematical role of the 5th postulate in Elements Book I? What propositions does the 5th postulate effect? What would be different if the 5th postulate were not true?
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Step 1: The 5th postulate in Elements Book I, also known as the parallel postulate, states that if a line crosses two other lines and the interior angles on the same side are less than two right angles, then the two lines will eventually meet on that side. Show more…
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