Titlebook: Geometry Through History; Euclidean, Hyperboli Meighan I. Dillon Textbook 2018 Springer International Publishing AG, part of Springer Natur

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https://doi.org/10.1007/978-3-663-14166-2years to resolve the problem of the parallels, the result of that process was a sea change in both mathematics and physics. While it was the subject of a struggle, the problem of the parallels seemed an intractable monster, devouring egos, relationships, and careers, threatening to destabilize mathe

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Paul Sellnick,Ernst Heimard Cludiusulate. There are two possibilities: the Euclidean case, where every triangle is Euclidean, and the hyperbolic case, where every triangle has a positive angular defect. In this chapter, we consider properties of the plane in the latter case.

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https://doi.org/10.1007/978-3-322-98808-9uclidean geometry. This is a simple, accessible idea, and affine spaces are ubiquitous in mathematics. Second, affine geometry is based on linear algebra, which is fundamental in applications and in mathematics more generally. An introduction to affine geometry thus gives us an excuse to profer a qu

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