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Die Gebilde Ersten Und Zweiten Grades Der Liniengeometrie in Synthetischer Behandlung (3)

Die Gebilde Ersten Und Zweiten Grades Der Liniengeometrie in Synthetischer Behandlung (3)


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About the Book

Dieses historische Buch kann zahlreiche Tippfehler und fehlende Textpassagen aufweisen. Kaufer konnen in der Regel eine kostenlose eingescannte Kopie des originalen Buches vom Verleger herunterladen (ohne Tippfehler). Ohne Indizes. Nicht dargestellt. 1896 edition. Auszug: ... ihnen die l, lli und diejenigen, in denen die aus einem beliebigen Punkte kommende Treffgejade sie schneidet, geben 8 Paare entsprechender Punkte einer Correspondenz 2, 2 zwischen den Punktreihen auf l und, legen sie dadurch eindeutig fest und infolge dessen auch eine weitere Regelflache p4 des Buschels (p/, p24). Jede von diesen Flachen schneidet eine der oo1 Regelschaaren Q, welche durch g, g0 gehen und l, ll zu Leitgeraden haben, noch in 3 Erzeugenden; denn die durch einen weiteren gemeinsamen Punkt gehende Erzeugende von Q liegt auch auf p. Daher schneidet der Buschel der p4 die p in der festen Geraden g0 und je drei Strahlen, die eine Involution bilden, weil durch eine Gerade von p nur eine p4 geht. Die von p, p24 herruhrenden Tripel sind die ohigen, in denen Q die F,2, F22 schneidet; also ist die Involution dieselbe wie vorhin, und das Tripel gg'g" liegt auf der durch g gehenden p Daher erzeugen alle oo1 Strahlendupel g'g," welche von den p herruhren, die durch g0, g und einen Strahl von (0, ra) bestimmt sind, diese Regelflache; die 2 Erzeugenden derselben, die in c a fallen und deshalb zu (0, co) gehoren, sind die diesem Buschel angehorigen Strahlen des erzeugten Complexes, und derselbe ist vom 2. Grade. Die willkurliche Wahl von g0 in T/F,2 hat auf das Ergebniss keinen Einfluss; denn ergaben sich bei g0, g0' zwei verschiedene durch g gehende Complexe, so wurden sie ausser der Schnittcongruenz noch g gemeinsam haben, was nicht moglich ist. Wollten wir mit den (quadratischen) Involutionen in den oo2 Strahlenbuscheln arbeiten, welche durch g gehen, so wurden wir nur die g treffenden Strahlen des Complexes...


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Product Details
  • ISBN-13: 9781235997891
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 208
  • Spine Width: 11 mm
  • Width: 189 mm
  • ISBN-10: 1235997898
  • Publisher Date: 01 Jan 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 381 gr


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