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Jacob Steiner's Gesammelte Werke
Herausgegeben auf Veranlassung der königlich preussischen Akademie der Wissenschaften

Volume 1

£40.99

Part of Cambridge Library Collection - Mathematics

  • Date Published: October 2013
  • availability: Available
  • format: Paperback
  • isbn: 9781108059213

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About the Authors
  • The Swiss mathematician Jakob Steiner (1796–1863) came from a poor background with an incomplete education, yet such was his mathematical talent that eventually the Prussian university system adapted itself to him rather than he to it. A geometer in an age dominated by analysts, he pursued his own interests in his own way. The elegant results which bear his name - including Steiner circles, systems and symmetrisation - are known to most mathematicians today. Considered by many to be the greatest geometer since Apollonius of Perga, Steiner did important work on systemising geometry, laying the foundation for much later work on projective geometry. Edited by the eminent mathematician Karl Weierstrass (1815–97), this two-volume edition of Steiner's collected works offers scholars access to his influential writings in the original German. Volume 1 was published in 1881.

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    Product details

    • Date Published: October 2013
    • format: Paperback
    • isbn: 9781108059213
    • length: 584 pages
    • dimensions: 244 x 170 x 30 mm
    • weight: 0.92kg
    • contains: 45 b/w illus.
    • availability: Available
  • Table of Contents

    Vorrede
    1. Einige geometrische Sätze
    2. Einige geometrische Betrachtungen
    3. Einige Gesetze über die Theilung der Ebene und des Raumes
    4. Leighter Beweis eines stereometrischen Satzes von Euler
    5. Verwandlung und Theilung sphärishcer Figuren durch Construction
    6. Auflösung einer geometrischer Aufgabe aus Gergonne's Annales de Mathém.
    7. Aufgaben und Lehrsätze
    8. Geometrische Lehrsätze
    9. Zwei polygonometrische Sätze
    10. Auflösung einer Aufgabe aus den Annalen der Mathematik von Herrn Gergonne
    11. Vorgelegte Lehrsätze
    12. Anmerkungen zu einer Aufgabe in Crelle's Journal Band III
    13. Bemerkungen zu einem Aufsatze in Crelle's Journal Band III
    14. Vorgelegte Aufgaben und Lehrsätze
    15. Démonstration de quelques théorèmes de géometrie
    16. Développement d'une série de théorèmes relatifs aux sections coniques
    17. Recherche des relations entre les rayons des cercles qui touchent trois droites données sur un plan et entre les rayons des sphères qui touchent quatre plans donnés dans l'espace
    18. Théorèmes à démontrer et problèmes à résoudre
    19. Systemmatische Entwickelung der Abhängigkeit geometrischer Gestalten von einander
    20. Die geometrischen Constructionen ausgefürht mittelst der geraden Linie und Eines festen Kreises
    21. Anmerkungen des Herausgebers.

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    Jacob Steiner's Gesammelte Werke

    Jakob Steiner

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  • Author

    Jakob Steiner

    Editor

    Karl Weierstrass

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