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Grundlagen Der Geometrie by David Hilbert

Grundlagen Der Geometrie

by David Hilbert
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Book cover type: Paperback
  • ISBN13: 9783519320203
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 273
  • Original Price: EUR 51.39
  • Language: German
  • Edition: 13. Aufl. 1968
  • Item Weight: 363 grams
  • BISAC Subject(s): Engineering (General)

Erstes Kapitel. Die fünf Axiomgruppen.- Zweites Kapitel. Die Widerspruchsfreiheit und gegenseitige Unabhängigkeit der Axiome.- Drittes Kapitel. Die Lehre von den Proportionen.- Viertes Kapitel. Die Lehre von den Flächeninhalten in der Ebene.- Fünftes Kapitel. Der Desarguessche Satz.- Sechstes Kapitel. Der Pascalsche Satz.- Siebentes Kapitel. Die geometrischen Konstruktionen auf Grund der Axiome IIV.- Schlußwort.- Anhang I. Über die gerade Linie als kürzeste Verbindung zweier Punkte.- Anhang II. Über den Satz von der Gleichheit der Basiswinkel im gleichschenkligen Dreieck.- Anhang III. Neue Begründung der Bolyai-Lobatschefskyschen Geometrie.- Anhang IV. Über die Grundlagen der Geometrie.- Anhang V. Über Flächen von konstanter GauBscher Krümmung.- Supplement I 1 Bemerkungen zu 34.- Supplement I 2 Zu 13.- Supplement II Vereinfachte Begründung der Proportionenlehre.- Supplement III Zur Lehre von den Flächeninhalten in der Ebene.- Supplement IV 1 Bemerkung zur Einführung einer Streckenrechnung auf Grund des Desarguesschen Satzes.- Supplement IV 2 Zu 37.- Supplement V 1 Zerlegungsgleichheit in den Modellen des Anhanges II.- Supplement V 2 Hilberts Axiom der Einlagerung.- Verzeichnis der Begriffsnamen.

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