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The parallel postulate
https://www.dpmms.cam.ac.uk/~wtg10/parallel.html26 Apr 2000: Why did people want to prove the parallel postulate? Why did mathematicians feel the need to deduce the parallel postulate from the other axioms of geometry? ... Did people have some inkling of non-Euclidean geometry, some premonition that the parallel -
Why learn this geometry course?
https://www.dpmms.cam.ac.uk/~wtg10/whygeometry.html26 Apr 2000: Most people associate the word geometry with things like Pythagoras's theorem, the fact that the angles of a triangle add to 180 degrees, how to bisect a line segment using ... 4. (Why did people care so much about it? A brief answer can be found here. )
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