Title: Piece qui a remporté le prix de l'Academie imperiale des sciences de St. Petersbourg proposé en M. DCCL. Sur la question si toutes les inegalités, qu' on a observées dans le mouvement de la lune, s'accordent avec la theorie Newtonienne... Author: Clairaut, Alexis Claude Place: A St. Petersbourg Publisher: De l'imprimerie de l'Acad. imperiale des sciences Date: 1752 Description: 92 pp. Folding engraved plate. (4to) 24.8x20.5 cm (9½x8"), period marbled wrappers. First Edition. First edition of Clairaut's epochal work on the lunar orbit, "the first approximate resolution of the three-body problem in celestial mechanics" (DSB). The treatment of the movement of the moon's apogee in Newton's Principia was deficient, with the result that doubts were cast on the validity of Newton's system as a whole. Clairaut, along with d'Alembert and Euler, sought to complete the analytical description. "In 1849 Clairaut established that the difference between theory and observation was due to the fact that he and others solving the corresponding differential equation had restricted themselves to the first approximation. When he calculated the second approximation, it was satisfactorily in accordance with the observed data. Euler did not at once agree. To put his doubts at rest, he advised the St. Petersburg Academy to announce a competition on the subject. Euler soon determined that Clairaut was right, and on Euler's recommendation his composition received the prize of the Academy" (A.P. Youschkevitch in DEB under Euler). Quite rare - though there are fifteen copies listed in OCLC/WorldCat, no copies have sold at auction since at least 1975, according to American Book Prices Current, and there are no copies listed in Rare Book Hub. Faint inkstamp of the Bureau de Longitude to title page, small shelf label on front wrapper. Lot Amendments Faint circular rubberstamp to title page. Condition: A little rubbing to wrappers, faint circular rubberstamp to title page, some light staining within, a very good copy. Item number: 287932
Title: Piece qui a remporté le prix de l'Academie imperiale des sciences de St. Petersbourg proposé en M. DCCL. Sur la question si toutes les inegalités, qu' on a observées dans le mouvement de la lune, s'accordent avec la theorie Newtonienne... Author: Clairaut, Alexis Claude Place: A St. Petersbourg Publisher: De l'imprimerie de l'Acad. imperiale des sciences Date: 1752 Description: 92 pp. Folding engraved plate. (4to) 24.8x20.5 cm (9½x8"), period marbled wrappers. First Edition. First edition of Clairaut's epochal work on the lunar orbit, "the first approximate resolution of the three-body problem in celestial mechanics" (DSB). The treatment of the movement of the moon's apogee in Newton's Principia was deficient, with the result that doubts were cast on the validity of Newton's system as a whole. Clairaut, along with d'Alembert and Euler, sought to complete the analytical description. "In 1849 Clairaut established that the difference between theory and observation was due to the fact that he and others solving the corresponding differential equation had restricted themselves to the first approximation. When he calculated the second approximation, it was satisfactorily in accordance with the observed data. Euler did not at once agree. To put his doubts at rest, he advised the St. Petersburg Academy to announce a competition on the subject. Euler soon determined that Clairaut was right, and on Euler's recommendation his composition received the prize of the Academy" (A.P. Youschkevitch in DEB under Euler). Quite rare - though there are fifteen copies listed in OCLC/WorldCat, no copies have sold at auction since at least 1975, according to American Book Prices Current, and there are no copies listed in Rare Book Hub. Faint inkstamp of the Bureau de Longitude to title page, small shelf label on front wrapper. Lot Amendments Faint circular rubberstamp to title page. Condition: A little rubbing to wrappers, faint circular rubberstamp to title page, some light staining within, a very good copy. Item number: 287932
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.jpg "Source: Christie's")
.jpg "Source: Christie's")
