Synthetic and analytic geometries in the publications of Jakob Steiner and Julius Plücker

Archive for History of Exact Sciences 70 (4):413-462 (2016)
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Abstract

In their publications during the 1820s, Jakob Steiner and Julius Plücker frequently derived the same results while claiming different methods. This paper focuses on two such results in order to compare their approaches to constructing figures, calculating with symbols, and representing geometric magnitudes. Underlying the repetitive display of similar problems and theorems, Steiner and Plücker redefined synthetic and analytic methods in distinctly personal practices.

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10.1007/s00407-015-0174-8

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Citations of this work

Drawing on the imagination: The limits of illustrated figures in nineteenth-century geometry.Jemma Lorenat - 2020 - Studies in History and Philosophy of Science Part A 82:75-87.
Felix Klein’s early contributions to anschauliche Geometrie.David E. Rowe - 2024 - Archive for History of Exact Sciences 78 (4):401-477.
The Values of Simplicity and Generality in Chasles’s Geometrical Theory of Attraction.Nicolas Michel - 2020 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 51 (1):115-146.

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References found in this work

Mathematical Thought from Ancient to Modern Times.M. Kline - 1978 - British Journal for the Philosophy of Science 29 (1):68-87.
Éléments d'histoire des mathématiques.Nicolas Bourbaki - 1961 - Les Etudes Philosophiques 16 (2):244-244.
A Concise History of Mathematics.Dirk J. Struik - 1949 - Science and Society 13 (4):376-377.

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