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Non-Euclidean Laguerre Geometry and Incircular Nets
  • Language: en
  • Pages: 142

Non-Euclidean Laguerre Geometry and Incircular Nets

This textbook is a comprehensive and yet accessible introduction to non-Euclidean Laguerre geometry, for which there exists no previous systematic presentation in the literature. Moreover, we present new results by demonstrating all essential features of Laguerre geometry on the example of checkerboard incircular nets. Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space. We describe how this can be generalized to arbitrary Cayley-Klein spaces, in particular hyperbolic and elliptic space, and study the corresponding groups of Laguerre transformations. We give an introduction to Lie geometry and describe how these Laguerre geometries can be obtained as subgeometries. As an application of two-dimensional Lie and Laguerre geometry we study the properties of checkerboard incircular nets.

Advances in Discrete Differential Geometry
  • Language: en
  • Pages: 441

Advances in Discrete Differential Geometry

  • Type: Book
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  • Published: 2016-08-12
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  • Publisher: Springer

This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. The authors take a closer look at discrete models in differential geometry and dynamical systems. Their curves are polygonal, surfaces are made from triangles and quadrilaterals, and time is discrete. Nevertheless, the difference between the corresponding smooth curves, surfaces and classical dynamical systems with continuous time can hardly be seen. This is the paradigm of structure-pre...

Archives of Otolaryngology
  • Language: en
  • Pages: 786

Archives of Otolaryngology

  • Type: Book
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  • Published: 1983
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  • Publisher: Unknown

None

Geschlechts Beschreibung derer Familien von Schilling
  • Language: de
  • Pages: 472

Geschlechts Beschreibung derer Familien von Schilling

  • Type: Book
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  • Published: 1807
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  • Publisher: Unknown

None

Signale für die musikalische Welt
  • Language: de
  • Pages: 978

Signale für die musikalische Welt

  • Type: Book
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  • Published: 1866
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  • Publisher: Unknown

None

Etude Music Magazine
  • Language: en
  • Pages: 824

Etude Music Magazine

  • Type: Book
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  • Published: 1919
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  • Publisher: Unknown

Includes music.

Jährliches genealogisches Hand-Buch
  • Language: de
  • Pages: 850

Jährliches genealogisches Hand-Buch

  • Type: Book
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  • Published: 1746
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  • Publisher: Unknown

None

Kongelig dansk hof- og statskalender
  • Language: de
  • Pages: 144

Kongelig dansk hof- og statskalender

  • Type: Book
  • -
  • Published: Unknown
  • -
  • Publisher: Unknown

None

Rectors Remembered: The Descendants of John Jacob Rector Volume 2
  • Language: en
  • Pages: 713

Rectors Remembered: The Descendants of John Jacob Rector Volume 2

  • Type: Book
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  • Published: 2014-10-22
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  • Publisher: Lulu.com

Volume 2 of 8, pages 505-1212. A genealogical compilation of the descendants of John Jacob Rector and his wife, Anna Elizabeth Fischbach. Married in 1711 in Trupbach, Germany, the couple immigrated to the Germanna Colony in Virginia in 1714. Eight volumes document the lives of over 45,000 individuals.

The Psychic Feats of Olof Jonsson
  • Language: en
  • Pages: 262

The Psychic Feats of Olof Jonsson

  • Type: Book
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  • Published: 1971
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  • Publisher: Unknown

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