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Home > Mathematics and Science Textbooks > Mathematics > Die Gebilde Ersten Und Zweiten Grades Der Liniengeometrie in Synthetisches Behandlung (1-2)
Die Gebilde Ersten Und Zweiten Grades Der Liniengeometrie in Synthetisches Behandlung (1-2)

Die Gebilde Ersten Und Zweiten Grades Der Liniengeometrie in Synthetisches Behandlung (1-2)


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About the Book

Das historische Buch konnen zahlreiche Rechtschreibfehler, fehlende Texte, Bilder, oder einen Index. Kaufer konnen eine kostenlose gescannte Kopie des Originals (ohne Tippfehler) durch den Verlag. 1892. Nicht dargestellt. Auszug: ... zigen &j in ihr und die Verbindungslinie ist die Transversale der ff (Nr. 325). Danach ist jedem der 10 Paare von zwei Punkten S2 ein Punkt /S, zugeordnet, dem die Ebene o zugehort, welche durch die Verbindungslinie des Paares geht. Bezeichnet man also die 5 Punkte S2 mit 1, 2, 3, 4, 5, so ergiebt sich von selbst die Bezeichnung 12, 13, 14, 15, 23, 24, 25, 34, 35, 45 fur die Punkte fi DEGREES; wobei 12 der Punkt St ist, dessen ff durch die Gerade 12 geht und sie zur Transversale hat. Andererseits ist auch jedem St eine Ebene durch 3 Punkte S2 zugeordnet, dem 12 z. B. die Ebene 345. Die 4 dem Punkte i verbundenen, d. h. auf seinem Kegel gelegenen Punkte $! sind ersichtlich die, deren eine Ziffer i ist. Zwei Punkte $, welche in einer Ziffer ubereinstimmen, also den betreuenden Ss zum gemeinsamen verbundenen haben, konnen nicht selbst verbunden sein (Nr. 329). Weil aber ein St drei verbundene 5t hat und ebenfalls nur 3 in keiner Ziffer mit ihm ubereinstimmen, so sind zwei Punkte St, welche keine Ziffer gemeinsam haben, stets verbunden. Dem 1 sind also verbunden: 2, 3, 4, 5, 12, 13, 14, 15; dem 12 hingegen sind verbunden oder in der Ebene (12) sind gelegen: 1, 2, 34, 35, 45; zu dem Sechsecke 1, 35, 2, 34, 12, 45, das einem Kegelschnitte eingeschrieben ist, ist die Pascal'sche Linie die von der Ebene (4, 25, 13) eingeschnittene. Auf der Schnittlinie der Ebenen (12), (13), die zu zwei nicht verbundenen Punkten gehoren, mussen (Nr. 328) zwei Punkte S liegen, deren Gradsumme 3 ist, offenbar 1 und 45. Unter den 6 Punkten Su die einem S2 nicht verbunden sind, hat jeder einen verbundenen, so dass 3 Paare sich ergeben, z. B. bei 1: 23, 45; 24, 35; 25, 34. Wir haben 5 Gruppen associirter Punkte [*S]8, durch w


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Product Details
  • ISBN-13: 9781235284731
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 280
  • Spine Width: 15 mm
  • Width: 189 mm
  • ISBN-10: 1235284735
  • Publisher Date: 01 Jan 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 503 gr


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