Zur Theorie der ellipschen Functionen (+) Sur l'elimination des noeuds dans le probleme . - [JACOBI ON THE THREE-BODY PROBLEM]

1843. Berlin, G. Reimer, 1843. 4to. No wrappers. In "Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 26. Band, zwanzigster Heft". No backstrip. A fine and clean copy. Pp. 93-114; Pp. 115-131. First printing of Jacobi's paper (Sur l'elimination ...) in which "he showed how to reduce a general three-body problem - that of the motion of two planets about the Sun - to a problem of the motion of two fictive bodies. He subjected the masses, positions and velocities of these fictive bodies to the restrictions that their centre of gravity should be identical to that of the original system, and their accelerations derivable from the force function for that system; the total force vive was the same, and the conservation of areas still held." (Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences: v. 2, 1056 p.).