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Monatshefte für Mathematik
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Monatshefte für Mathematik
Article . 1899 . Peer-reviewed
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Zur Perspective des Kreises

Authors: Sobotka, J.;

Zur Perspective des Kreises

Abstract

In der SehlSmilch'sehen Zeitsehrift hir Mathematik und Physik wurclen in den letzten 5ahren einige Aufgaben uncl elementare Constructionen~ die sich auf die Centralprojeetion yon Kreisen beziehen, yon den Herren SchlSmil~h~ Beyel~ Schur und Sehtissler besproehen~*) zu denen ieh mir im Folgenden einige Bemerknngen und Erweiterungen zu geben erlaube. Die betreffenden Mittheilungen yon Geheimrath SchlSmilch bilden seine letzten Beitr~ge ftir die erw~ihnte Zeitsehrift~ nnd es ist interessant~ dass Schlsmilch vor mehr als vierzig Jahren seine Zeitschris mit einer yon ihm selbst verfassten Abhandlung in die 0ffentlichkeit eingeftihrt hat, die mit vorliegendem Thema innig zusammenhKngf~ und auf die ich gleiehfalls noeh im Folgenden zurtiekkommen werde. 1. Was zun~chst die Ermittelung derjenigen C e n t r a l p r o j e c t i o n e n ~ d u r c h w e l c h e K r e i s e des R a u m e s ill e i n e n g e g e b e n e n K r e i s d e r B i l d e b e n e p r o j i e i e r t w e r d e n u n d d e r e n E b e n e n e ine g e g e b e n e (~erade de r B i l d e b e n e als F l u e h t t r a s s e b e s i t z e % anbelangt, muss ieh bier noeh auf den im Jahre 1893 ersehienenen I. Band des ausgezeiehneten Lehrbnches der Darstellenden Geometrie yon R0hn nnd Papperitz aufmerksam maehen~ worin sieh in Art. 264 u. f. die auf ktirzestem Wege erzie]te LSsung dieser Aufgabe vorfindet; die dann welter in Art 385 zll einer sChSnen LSsung der Aufgabe bentitzt wird: ,Eine als Centralprojeetion eines Kreises entstandene Ellipse ist als affine Curve eines Kreises darzustellen. ~* 2. In u mit der vorangehenden Anfgabe werden in den herangezogenen Abhancllungen diejenigen C e n t r a I p r oj e e t i o n e n g e s u c h t ~ d u r c h w e l e h e zwei g e g e b e n e

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
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