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Darstellende Geometrie by Fritz Rehbock

Darstellende Geometrie

by Fritz Rehbock
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Book cover type: Paperback
  • ISBN13: 9783642533396
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 235
  • Original Price: EUR 56.07
  • Language: German
  • Edition: 2. Aufl. 1964.
  • Item Weight: 359 grams
  • BISAC Subject(s): Geometry / General

Grundbegriffe Die Darstellende Geometrie untersuchtAbbildungen des dreidimensionalen Raumes auf ein ebenes, also zweidimensionales Zeichen/eId. Um dabei die konstruktiven Methoden der ebenen Geometrie ausnutzen zu können, bevorzugt man Zuordnungen, bei denen Geraden des Raumes Geraden der Ebene entsprechen. Nur von solchen Abbildungen handelt dieses Buch. Rehbock, "Darstellende Geometrie" 2. Auf!. 2 Einleitung Punkte, Geraden und Ebenen hei en die Elemente des dreidimensio- nalen Raumes. Wir bezeichnen Punkte mit gro en lateinischen, Geraden mit kleinen lateinischen und Ebenen mit kleinen griechischen Buchstaben. Von den Ebenen sind in den Skizzen meist nur geradlinig begrenzte, kurz; "umrandete" Stücke dargestellt. Für unsere konstruktiven Zwecke ist aber jede Ebene wie jede Gerade unbegrenzt zu denken. I. Liegt ein Punkt P auf einer Geraden g, so hei t Pein g-Punkt, l g eine P-Gerade . Liegt P in einer Ebene e, so ist Pein e-Punkt, e eine P-Ebene. Und liegt endlich eine Gerade g in einer Ebene e, so ist g eine e-Gerade, e eine g-Ebene. Bei festem e oder P oder g hei t die Gesamtheit aller e-Punkte und e-Geraden ein Feld, aller P-Ebenen und P-Geraden ein Bündel, aller g-Ebenen ein Ebenenbüschel, aller g-Punkte eine Punktreihe.

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