Synthetic and analytic geometries in the publications of Jakob Steiner and Julius Plücker (1827–1829)

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 mag...

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Veröffentlicht in:	Archive for history of exact sciences 2016-07, Vol.70 (4), p.413-462
1. Verfasser:	Lorenat, Jemma
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytic geometry Astronomy Circles Conic sections Coordinate systems Geometric centers Geometric shapes Geometry History and Philosophical Foundations of Physics History of Mathematical Sciences History of Science Mathematical theorems Mathematics Mathematics and Statistics Observations and Techniques Philosophy of Science Tangents Triangles
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Beschreibung
Zusammenfassung:	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.
ISSN:	0003-9519 1432-0657
DOI:	10.1007/s00407-015-0174-8