Geschichte Der Elementar-Mathematik in Systematischer Darstellung (2)
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Geschichte Der Elementar-Mathematik in Systematischer Darstellung (2)

Geschichte Der Elementar-Mathematik in Systematischer Darstellung (2)


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About the Book

Dieses historische Buch kann zahlreiche Tippfehler und fehlende Textpassagen aufweisen. Kaufer konnen in der Regel eine kostenlose eingescannte Kopie des originalen Buches vom Verleger herunterladen (ohne Tippfehler). Ohne Indizes. Nicht dargestellt. 1903 edition. Auszug: ...weil er in nur wenig veranderter Form bei Regiomontanus (1436--1476), in dessen Buche De triangulis omnimodis man fruher den Sinussatz zum erstenmal auftreten zu sehen glaubte, wieder erscheint.903 Eine Abweichung liegt nur darin, dass Regiomontanus die Kreise nicht mit einem beliebigen Radius, sondern mit der Seite CA schlug; immerhin ist dieser Unterschied in den Beweisen gross genug, um die selbstandige Aufstellung durch Regiomontanus nicht anzweifeln zu lassen. Dass keine mittelbare oder unmittelbare Entlehnung des Beweises vorliegt, geht auch daraus hervor, dass man die Quelle, aus der Regiomontan den Sinussatz bekam, kennt, in dieser aber ein durchaus anderer Beweis gegeben wird. Diese Vorlage ist Levi Ben Gebson's (f 1344; Avignon) Schrift De sinibus, chordis et arcubus,904 die damit sich als alteste Fundstelle des Sinussatzes im Abendlande herausstellt Der hier angedeutete Beweis beruft sich darauf, dass bei Zugrundelegung des umgeschriebenen Kreises eine halbe Seite der Sinus des gegenuberliegenden Winkels ist, die Seiten also im Verhaltnis des Sinus der Gegenseiten stehen. Wahrend die Beweisart Regiomontan's bei Fink, Oeometria rotundi (1583),906 Lansbebge, Oeometria triangulorum (1591),906 Piti80us, Trigonometria (1599)908 wiederkehrt, scheint traduit par Alexandre Pascha Caratheodory, Constantinopel 1891.--Vgl. auch A. v. Bradnhuhl, Nassir Eddin Tttsi und Regiomontanus, Nova acta d. Leop.Carol.-Akademie, 1897, Bd. 71, Nr. 2.--902 v. Braunmuhl, S. 66, Anm. 4 (Anm. 573).--903 Lib. II, prop. I (Anm. 357): In omni triangulo rectuineo proportio lateris ad latus est, tnmquam sinus recti anguli..."


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Product Details
  • ISBN-13: 9781231886533
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 32
  • Spine Width: 10 mm
  • Width: 189 mm
  • ISBN-10: 1231886536
  • Publisher Date: 05 May 2014
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 340 gr


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