Anwendung grundlegender Kreissätze für die Herleitung geometrischer Aussagen
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Anwendung grundlegender Kreissätze für die Herleitung geometrischer Aussagen

Anwendung grundlegender Kreissätze für die Herleitung geometrischer Aussagen


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About the Book

Bachelorarbeit aus dem Jahr 2022 im Fachbereich Mathematik - Geometrie, Note: 2,1, Universität Hildesheim (Stiftung), Sprache: Deutsch, Abstract: Die Arbeit beschäftigt sich mit drei Kreissätzen aus der Geometrie, mit denen sich die Winkel von Figuren wie Dreiecken und Vierecken innerhalb von Kreisen berechnen lassen. Anwendungsbeispiele für die Berechnung der jeweiligen Innenwinkelsummen der Figuren sind ebenfalls Teil dieser Arbeit. Die Leserinnen und Leser bekommen einen Einblick über die Beziehungen von Geraden und Kreisen. In der Arbeit wird großer Wert auf die Darstellung von Abbildungen und die Beweise der Sätze gelegt. Kreissätze sind in der Geometrie sehr umfangreich zu finden. Durch Thales wurden alltägliche Aussagen der Ägypter und Babylonier zu Kreissätzen der Geometrie. Folglich wurden weitere Kreissätze gebildet und sind heute ein wichtiger Begleiter in der Universität und Schule, sowie auf der Arbeit. Die Arbeit basiert auf dem Artikel "Circles Revisted" von Burke. Es werden Kreissätze angewendet um geometrische Aussagen herzuleiten und zu berechnen. Es wird gezeigt, welcher Kreissatz für die jeweilige Aussage verwendet werden kann und wie die Anwendung erfolgt. Beispielsweise gibt es eine Aussage über die Innenwinkel von einem Sechseck. Diese besagt, dass wenn die Eckpunkte des Sechsecks der Reihe nach nummeriert werden, die geradzahligen Eckpunkte den ungeradzahligen Eckpunkten in ihren Winkelmaßen gleichen. Solch eine Aussage kann mithilfe der Kreissätze berechnet und gezeigt werden. Wie diese Berechnung erfolgt, wird in Kapitel 4 gezeigt.


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Product Details
  • ISBN-13: 9783346841209
  • Publisher: Bod Third Party Titles
  • Publisher Imprint: Grin Verlag
  • Height: 210 mm
  • No of Pages: 48
  • Spine Width: 3 mm
  • Width: 148 mm
  • ISBN-10: 3346841200
  • Publisher Date: 11 Mar 2023
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Weight: 122 gr


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