Inhaltsangabe
The present second volume starts with Euclidean geometry, and the text gets a more educational and even more elementary flavour. Here I start with Thales theorem about the angle in a semicircle, and continue with Euclid's related theorems about angles in a circle. The most simple parts of the Euclidean geometry are given in detail, as well as the later parts about similarity, and finally area in Euclidean geometry with the theorem of Pythagoras and trigonometry, and the measurement of the circle. Too, the lens equation from geometrical optics is treated. In several sections is recalled the strictly modern view of the first volume, beginning with Hilbert's axioms from the Foundations of Geometry. After some discussion of logic and axioms in general, we go on with a short section about incidence geometries in two dimensions. The theorems from neutral geometry which have been proved in the first volume and are needed again, are cited. The relation of analytic and synthetic geometry is treated on Hilbert's rigorous account.
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Paperback. Zustand: new. Paperback. The present second volume starts with Euclidean geometry, and the text gets a more educational and even more elementary flavour. Here I start with Thales theorem about the angle in a semicircle, and continue with Euclid's related theorems about angles in a circle.The most simple parts of the Euclidean geometry are given in detail, as well as the later parts about similarity, and finally area in Euclidean geometry with the theorem of Pythagoras and trigonometry, and the measurement of the circle. Too, the lens equation from geometrical optics is treated.In several sections is recalled the strictly modern view of the first volume, beginning with Hilbert's axioms from the Foundations of Geometry. After some discussion of logic and axioms in general, we go on with a short section about incidence geometries in two dimensions.The theorems from neutral geometry which have been proved in the first volume and are needed again, are cited.The relation of analytic and synthetic geometry is treated on Hilbert's rigorous account. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Bestandsnummer des Verkäufers 9798231094943
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Volume II | Basic Euclidean Geometry
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Taschenbuch. Zustand: Neu. Volume II | Basic Euclidean Geometry | Franz Rothe | Taschenbuch | Englisch | 2025 | Franz Rothe | EAN 9798231094943 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. Bestandsnummer des Verkäufers 133733125
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