Saccheri's Quadrilaterals

Details Saccheri's Quadrilaterals Saccheri's Quadrilaterals

2012-03-10

arxiv.org/abs/1203.2243v1

Mathematics

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Scientific paper

We study Saccheri's three hypotheses on a two right-angled isosceles quadrilateral, under certain assumptions, with respect of the independence of the euclidean parallel postulate. We also trace the historical circumstances under which, the development of arguments for the consistency of non-Euclidean geometries occurred; indicating an important shift in mathematicians' attitude towards the fifth Euclidean postulate.

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