Artikel 105282-01
105282-01 Clebsch, A(lfred).
Ueber symbolische Darstellung algebraischer Formen. SS. 1-62. In: Journal für die reine und angewandte Mathematik. Gegründet von A. L. Crelle. Band 59. (26,5 x 22 cm). IV, 396, 20 S. Pappband der Zeit.
Berlin, Reimer, 1861.
Erste Ausgabe. - "Clebsch completed the symbolic calculus for forms and invariants created by Aronhold, and henceforth one spoke of the Clebsch-Aronhold symbolic notation. Clebsch's own contributions in this field of algebraic geometry include the following. With the help of suitable eliminations he determined a surface of order 11n - 24 intersecting a given surface of order n in points where there is a tangent that touches the surface at more than three coinciding points. For a given cubic surface he calculated the tenth-degree equation on the resolution of which the determination of the Sylvester pentahedron of that surface depends. For a plane quartic curve Clebsch found a remarkable invariant that, when it vanishes, makes it possible to write the curve equation as a sum of five fourth-degree powers. At the end of his life Clebsch inaugurated the notion of a 'connex,' a geometrical object in the plane obtained by setting a form containing both point and line coordinates equal to zero" (DSB). - Stempel auf Titel, sonst sauber und gut erhalten. - DSB 3, 313