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Titlebook: Geometry of Continued Fractions; Oleg Karpenkov Textbook 20131st edition Springer-Verlag Berlin Heidelberg 2013 algebraic irrationalities.

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,Lösung der Fundamentalaufgaben,or infinite regular continued fractions. Further, we prove existence and uniqueness of continued fractions for a given number (odd and even continued fractions in the rational case). Finally, we discuss approximation properties of continued fractions.
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Einführung in die Systemtheorietinued fractions in terms of integer lengths of edges and indices of angles for the boundaries of convex hulls of all integer points inside certain angles. In the next chapter we will extend this construction to construct a complete invariant of integer angles. For the geometry of continued fractions with arbitrary elements see Chap. ..
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Geometry of Regular Continued Fractionstinued fractions in terms of integer lengths of edges and indices of angles for the boundaries of convex hulls of all integer points inside certain angles. In the next chapter we will extend this construction to construct a complete invariant of integer angles. For the geometry of continued fractions with arbitrary elements see Chap. ..
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On Integer Geometry solution. This chapter is entirely dedicated to notions, definitions, and basic properties of integer geometry. We start with general definitions of integer geometry, and in particular, define integer lengths, distances, areas of triangles, and indexes of angles. Further we extend the notion of int
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