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Show that Euclid's first postulate holds for most pairs of points, but not all. Show that the second, third, and fourth postulates do hold in spherical geometry. Show that the fifth postulate (or equivalently Playfair's Postulate) does not hold. (Give general explanations for your answers - we do not yet have the resources to do rigorous proofs in spherical geometry) In the following exercises, experiment to determine if each statement is most likely true or false in spherical geometry. Give sho
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