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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45 Plates, black and white
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Höhe: 244 mm
Breite: 170 mm
Dicke: 31 mm
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ISBN-13
978-1-108-05921-3 (9781108059213)
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Schweitzer Klassifikation
Jakob Steiner is a PhD student at the Department of Physical Geography at Universiteit Utrecht, the Netherlands and a Senior Commissioning Editor for E-International Relations. He has conducted field research on drivers of local migration and rural development in rural Pakistan and on the paths of Pakistani men leaving along the common refugee routes for Europe.
Vorrede; 1. Einige geometrische Saetze; 2. Einige geometrische Betrachtungen; 3. Einige Gesetze ueber die Theilung der Ebene und des Raumes; 4. Leighter Beweis eines stereometrischen Satzes von Euler; 5. Verwandlung und Theilung sphaerishcer Figuren durch Construction; 6. Aufloesung einer geometrischer Aufgabe aus Gergonne's Annales de Mathem.; 7. Aufgaben und Lehrsaetze; 8. Geometrische Lehrsaetze; 9. Zwei polygonometrische Saetze; 10. Aufloesung einer Aufgabe aus den Annalen der Mathematik von Herrn Gergonne; 11. Vorgelegte Lehrsaetze; 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 Lehrsaetze; 15. Demonstration de quelques theoremes de geometrie; 16. Developpement d'une serie de theoremes relatifs aux sections coniques; 17. Recherche des relations entre les rayons des cercles qui touchent trois droites donnees sur un plan et entre les rayons des spheres qui touchent quatre plans donnes dans l'espace; 18. Theoremes a demontrer et problemes a resoudre; 19. Systemmatische Entwickelung der Abhaengigkeit geometrischer Gestalten von einander; 20. Die geometrischen Constructionen ausgefuerht mittelst der geraden Linie und Eines festen Kreises; 21. Anmerkungen des Herausgebers.
