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/10.1007/978-3-319-74135-2Euclidean geometry; neutral geometry; hyperbolic planes; projective geometry; affine geometry; algebraic

eustachian-tube

OWL

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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SEED

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Hermann Schichl,Roland Steinbauern a circular arc. It is hard to imagine a rotation without a journey, but for the most part, we care about where things start and where they end up, not how they actually found their way to their final positions.

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Intuitive

遍及

An Introduction to Projective Geometry,he first treatise on the subject but it did not develop into one of the building blocks of modern mathematics until late in the nineteenth century. Nowadays, projective geometry is part of the everyday working tool set for mathematicians in geometry, topology, and algebra. It is also of interest in its own right.