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Titlebook: Geometry — von Staudt’s Point of View; Proceedings of the N Peter Plaumann,Karl Strambach Conference proceedings 1981 D. Reidel Publishing

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樓主: HABIT
21#
發(fā)表于 2025-3-25 05:24:22 | 只看該作者
22#
發(fā)表于 2025-3-25 10:17:38 | 只看該作者
23#
發(fā)表于 2025-3-25 14:13:18 | 只看該作者
Einzelkosten- und DeckungsbeitragsrechnungWhat did Projective Geometry mean before von Staudt? It owed much to Monge, but its true founder was J.V. Poncelet. He invented the so-called continuity principle (Traité des propriétés projectives des figures, 1822, p. XIII:)
24#
發(fā)表于 2025-3-25 18:25:19 | 只看該作者
Cross Ratios and a Unifying Treatment of Von Staudt’s Notion of Reeller ZugOn the basis of a complex projective geometry K.G.Chr. von Staudt defined the notion of reeller Zug or what was called later on von Staudt’sche Kette. Those chains can be represented for instance in the completed complex plane as circles or lines extended by the point at infinity.
25#
發(fā)表于 2025-3-25 21:20:51 | 只看該作者
Projectivities in Free-Like GeometriesIn a projective plane all the projectivities of a line onto itself form a group II with respect to the composition of mappings. This group is an invariant for the plane since different lines have groups which are isomorphic (also as permutation groups).
26#
發(fā)表于 2025-3-26 03:52:27 | 只看該作者
27#
發(fā)表于 2025-3-26 07:16:53 | 只看該作者
Projectivities and the Topology of LinesA topological projective plane is a projective plane . = (P, .) such that P and . are topological spaces (neither discrete nor indiscrete) and join and intersection are continuous: for any open set U the set of all pairs of distinct lines intersecting in a point of U is open in .. and dually.
28#
發(fā)表于 2025-3-26 12:03:03 | 只看該作者
29#
發(fā)表于 2025-3-26 14:56:41 | 只看該作者
The Impact of Von Staudt’s Foundations of GeometryWhat did Projective Geometry mean before von Staudt? It owed much to Monge, but its true founder was J.V. Poncelet. He invented the so-called continuity principle (Traité des propriétés projectives des figures, 1822, p. XIII:)
30#
發(fā)表于 2025-3-26 18:22:17 | 只看該作者
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