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Werke: Volume 9: (Cambridge Library Collection - Mathematics)

Werke: Volume 9: (Cambridge Library Collection - Mathematics)

          
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About the Book

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 9, which appeared in 1903, supplements the account in Volume 4 of geodesy, triangulation, and the geodesic survey of the Kingdom of Hanover. It includes both published work and previously unpublished notes found among Gauss' papers.

Table of Contents:
Geodäsie. Fortsetzung von Band IV: Bestimmung des Breitenunterschiedes zwischen den Sternwarten von Göttingen und Altona durch Beobachtungen am Ramsdenschen Zenithsector: Einleitung; Die beobachteten Sterne; Die Beobachtungen; Resultate; Breitenbestimmung der Sternwarte Seeberg; Zusatz zu Art. 30. S. 48; Anzeige: Bestimmung des Breitenunterschiedes zwischen den Sternwarten von Göttingen und Altona durch Beobachtungen am Ramsdenschen Zenithsector; Bemerkungen; Erdellipsoid und Geodätische Linie: Nachlass: Das Erdellipsoid; Gleichung der Verticalebene des Rotationsellipsoids; Gleichung des Rotationsellipsoids in Beziehung auf eine berührende Ebene; Bemerkungen; Begründung meiner Theorie der geodätischen Linie; Kürzeste Linie auf dem Sphäroid; Geodätische Übertragung von Breite, Länge und Azimuth; Geodätische Übertragung auf der Kugel; Berechnung der linearen Länge der geodätischen Linie und ihrer Azimuthe aus den geographischen Coordinaten; Volkommen genaue Formeln für ein Dreieck auf dem elliptischen Sphäroid; Übertragung der geographischen lage vermittelst der Sehne und des Azimuths des Verticalschnittes; Der Unterschied zwischen dem geodätischen und dem beobachteten Azimuth; Reduction des astronomischen Azimuthes auf das geodätische; Bemerkungen; Briefwechel: Änderung der Polhöhe mit der Höhe; Bemerkungen; Nachlass: Reduction der sphärischen Dreieckswinkel A,B,C auf die Chordenwinkel A, B, C.; Bedingung dafür, dass 3 Punkte auf der Oberfläche einer Kugel auf einem grössten Kreise liegen; Bemerkungen; Conforme Doppelprojection des Sphäroids auf die Kugel und die Ebene: Nachlass: Das elliptische Sphäroid auf die Kugel übertragen; Bemerkungen; Stereographische Projection der Kugel auf die Ebene; Bemerkungen; Übertragung der Kugel auf die Ebene durch Mercators Projection; Bemerkungen; Stereographische Darstellung des Sphäroids in der Ebene; Bemerkungen; Conforme Übertragung des Sphäroids auf den Kegelmantel: Nachlass: Zur zweiten Darstellungsart des Sphäroids auf einen Parallelkreis bezogen; Bemerkungen; Conforme Abbildung des Sphäroids in der Ebene (Projectionsmethode der Hannoverschen Landesvermessung): Nachlass: Berechnung der geographischen Breite und Länge aus den ebenen rechtwinkligen Coordinaten: Berechnung der Meridiancovergenz aus den ebenen rechtwinkligen Coordinaten; Formeln zur numerischen Berechnung der Länge, Breite und Meridianconvergenz; Berechnung des Vergrösserungsverhältnisses n; Beziehungen zwischen x, y and ξ, λ; Berechnung der ebenen rechtwinkligen Coordinaten aus der geographischen Breite und Länge; Berechnung der Meridianconvergenz aus den geographischen Coordinaten; Die Reduction des Azimuths auf dem Sphäroid auf das Azimuth in plano; Der Unterschied zwischen der Projection der geodätischen Linie und der ihre Endpunkte verbindenden Gerarden bei der conformen Darstellung einer krummen Fläche in der Ebene; Zur Transformation der Coordinaten; Reihen zwischen φ, ψ und ω; Zur Berechnung von log cos φ; Berechnung von log; Numerische Werthe der Coefficienten in den Reihen zwischen φ, ψ und ω; Berechnung der ebenen rechtwinkligen Coordinaten aus den geographischen Coordinaten mit Hülfe der Reihen zwischen φ, ψ und ω; Berechnung der Länge und Breite aus den ebenen Coordinaten; Die Darstellung der Oberfläche des Sphäroids in der Ebene; Bemerkungen; Briefwechsel: Über die Formeln für die hannoversche Landesvermessung; Bemerkungen; Trigonometrische Punktbestimmung: Nachlass: Endresultat für den Ort eines Punktes in einer Ebene, der von drei bekannten aus angeschnitten ist; Bestimmung der Lage eines Punktes Po aus der Lage dreier anderer: P, P', P'', wo jener beobachtet; Ausgleichung dreier Schnitte; Zur Ausgleichung dreier Schnitte; Bestimmung eines Nebenpunktes (Schessel) aus den Beobachtungen auf Hauptdreieckspunkten (Litbert, Wilsede, Bottel, Bullerberg und Brüttendorf); Abhandlung: Anwendung der Wahrschei


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Product Details
  • ISBN-13: 9781139058308
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press (Virtual Publishing)
  • Height: 0 mm
  • Returnable: Y
  • Spine Width: 0 mm
  • Width: 0 mm
  • ISBN-10: 1139058304
  • Publisher Date: 05 Jun 2013
  • Binding: Digital download and online
  • Language: German
  • Series Title: Cambridge Library Collection - Mathematics
  • Weight: 0 gr


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