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Neigungswinkel und Umlegungen einer Ebene

In: Lehrbuch der darstellenden Geometrie

Author

Listed:
  • W. Ludwig

    (Technischen Hochschule Dresden)

Abstract

Zusammenfassung Der Neigungswinkel ε 1 den eine Ebene ⋿ gegen die Grundrißtafel П 1 bildet, ist der spitze Winkel zwischen den Geraden, die aus ⋿: und П 1 durch eine der zu ihnen gleichzeitig senkrechten Ebenen ausgeschnitten werden. Diese beiden Geraden sind nach Nr. 63 eine erste Fallinie von ⋿ und ihr Grundriß; deshalb ist ε 1 zugleich der Neigungswinkel dieser Fallinie gegen П 1 Also folgt der — sogleich allgemein auszusprechende — Satz: Der Neigungswinkel einer Ebene gegen eine Riβtafel ist zugleich der Neigungswinkel der auf diese Tafel bezüglichen Fallinien der Ebene.

Suggested Citation

  • W. Ludwig, 1919. "Neigungswinkel und Umlegungen einer Ebene," Springer Books, in: Lehrbuch der darstellenden Geometrie, chapter 0, pages 63-74, Springer.
  • Handle: RePEc:spr:sprchp:978-3-662-43020-0_6
    DOI: 10.1007/978-3-662-43020-0_6
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