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

Jakob Steiner

doi:10.1017/CBO9781139567930

Jacob Steiner's Gesammelte Werke

Herausgegeben auf Veranlassung der königlich preussischen Akademie der Wissenschaften

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Volume 1
Jakob Steiner
Edited by Karl Weierstrass

Publisher:: Cambridge University Press
Online publication date:: October 2014
Print publication year:: 2013
First published in:: 1881
Online ISBN:: 9781139567930
DOI:: https://doi.org/10.1017/CBO9781139567930

Subjects:: Mathematics (general), Mathematics, History of Mathematical Texts, Geometry and Topology
Series:: Cambridge Library Collection - Mathematics

48.99 (GBP)

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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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Jacob Steiner's Gesammelte Werke

Herausgegeben auf Veranlassung der königlich preussischen Akademie der Wissenschaften

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Contents

Frontmatter
pp i-iv

Vorrede des Herausgebers
pp v-vi

Contents
pp vii-viii

1 - Einige geometrische Sätze. Hierzu Taf. I und II Fig. 1—6
pp 1-16

2 - Einige geometrische Betrachtungen. Hierzu Taf. III—XIII Fig. 1—43
pp 17-76

3 - Einige Gesetze über die Theilung der Ebene und des Raumes
pp 77-94

4 - Leichter Beweis eines stereometrischen Satzes von Euler, nebst einem Zusatze zu Satz (X.) auf Seite 12. Hierzu Taf. XIII Fig. 1
pp 95-100

5 - Verwandlung und Theilung sphärischer Figuren durch Construction. Hierzu Taf. XIII—XVI Fig. 1—17
pp 101-120

6 - Auflösung einer geometrischen Aufgabe aus Gergonne's Annales de Mathém. t. XVII, p. 284
pp 121-124

7 - Aufgaben und Lehrsätze, erstere aufzulösen, letztere zu beweisen
pp 125-130

8 - Geometrische Lehrsätze. Hierzu Taf. XVII Fig. 1—6
pp 131-136

9 - Zwei polygonometrische Sätze. Hierzu Taf. XVIII Fig. 1
pp 137-144

10 - Auflösung einer Aufgabe aus den Annalen der Mathematik von Herrn Gergonne. Hierzu Taf. XVIII (b) Fig. 1
pp 145-154

11 - Vorgelegte Lehrsätze. Hierzu Taf. XIX Fig. 1 und 2
pp 155-162

12 - Anmerkungen zu einer Aufgabe in Crelle's Journal Band III S. 197—198. Hierzu Taf. XX Fig. 1
pp 163-168

13 - Bemerkungen zu einem Aufsatze in Crelle's Journal Band III S. 199—200
pp 169-172

14 - Vorgelegte Aufgaben und Lehrsätze. Hierzu Taf. XX—XXI Fig. 1—7
pp 173-180

15 - Démonstration de quelques théorèmes de géométrie
pp 181-188

16 - Développement d'une série de théorèmes relatifs aux sections coniques. Avec 7 figures (Tables XXII—XXV)
pp 189-210

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
pp 211-220

18 - Théorèmes à démontrer et problèmes à résoudre
pp 221-228

19 - Systematische Entwickelung der Abhängigkeit geometrischer Gestalten von einander. Erster Theil. Hierzu Taf. XXVI—XXXVII Fig. 1—57
pp 229-460

20 - Die geometrischen Constructionen ausgeführt mittelst der geraden Linie und Eines festen Kreises. Hierzu Taf: XXXVIII—XLIV Fig. 1—26
pp 461-522

21 - Anmerkungen des Herausgebers
pp 523-527

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Jacob Steiner's Gesammelte Werke

Herausgegeben auf Veranlassung der königlich preussischen Akademie der Wissenschaften

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