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Darstellende Geometrie by Fritz Rehbock

Darstellende Geometrie

by Fritz Rehbock
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Book cover type: Paperback
  • ISBN13: 9783540045571
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 238
  • Original Price: GBP 39.99
  • Language: German
  • Edition: 3. Aufl.
  • Item Weight: 268 grams
  • BISAC Subject(s): Geometry / General

Grundbegri e Die Darstellende Geornetrie untersuchtAb bildungen des dreidirnensionalen Raurnes auf ein ebenes, also zweidirnensionales Zeichenfeld. Urn dabei die konstruktiven Methoden der ebenen Geornetrie ausnutzen zu k6nnen, bevorzugt man Zuordnungen, bei denen Geraden des Raurnes Geraden der Ebene entsprechen. Nur von solchen Abbildungen handelt dieses Buch. Rehbock, "Darstellende Geometrie" 2 Einleitung Punkte, Geraden und Ebenen heiBen die Elemente des dreidimensio nalen Raumes. Wir bezeichnen Punkte mit groBen lateinischen, Geraden mit kleinen lateinischen und Ebenen mit kleinen griechischen Buchstaben. Von den Ebenen sind in den Skizzen meist nur geradlinig begrenzte, kurz: .. umrandete" Stucke dargestellt. Fur unsere konstruktiven Zwecke ist aber jede Ebene wie jede Gerade unbegrenzt zu denken. I. Liegt ein Punkt P auf einer Geraden g, so heiBt P ein g-Punkt, 1 g eine P-Gerade Liegt Pin einer Ebene e, so ist P ein 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 heiBt die Gesamtheit aller e-Punkte und e-Geraden ein Feld, aller P-Ebenen und P-Geraden ein Bundel, aller g-Ebenen ein Ebenenbuschel, aller g-Punkte eine Punktreihe."

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