85643-02  Möbius, August Ferdinand.
Der barycentrische Calcul, ein neues Hülfsmittel zur analytischen Behandlung der Geometrie. (21 x 12 cm). (2) XXIV, 454 (1) S. Mit 4 gefalteten gestochenen Tafeln. Moderner Pappband im Stil der Zeit.
Leipzig, Barth, 1827.
Erste Ausgabe seines wissenschaftlichen Hauptwerks. - "Möbius' 'Der barycentrische Calcul...' was not only his most important mathematical publication, but also the source of much of his later work... Möbius constructed a mathematical system, the fundamental entities of which were points, to each of which a weight or numerical coefficient was assigned. The position of any point could be expressed in this system by varying the numerical coefficients of any four or more non-coplaner points... Möbius went on in his treatise to apply this method with noteworthy success to many important geometrical problems... He was the first mathematician to make use of a system wherein geometrical entities, such as lines, plane figures, and solids, were consistently treated as spatially oriented and to which a positive or negative sign could be affixed. Moreover he presented in this work the construction now known as the Möbius net" (DSB). - Titel mit restauriertem Einriß und verso gestempelt. Stellenweise etwas braunfleckig. Eine Tafel mit kleinem Tintenfleck, sonst ordentlich erhalten. - DSB 9, 429; Roberts & Trent 227; Poggendorff II, 165; Darmstaedter 372

900 €