Rare first edition of Euler's first work devoted to astronomy (cf. Houzeau and Lancaster I, 11948. Poggendorff I, 689. La Lande 422. DSB IV, 467-484.)
Illustrated with a frontispiece (printed on f. A4) and 4 engraved plates at the end of the volume.
Some minor foxing, mostly towards the end of the volume.
Modern half vellum binding, smooth unlettered spine, comb-marbled paper boards, red edges.
This work dates from the very beginning of Euler's stay in Berlin (where he had been invited by Frederick II of Prussia), a period of intense activity across several fields of science.
The work is described as a "fundamental work on calculation of orbits" in the Dictionary of Scientific Biography.
Jérôme De La Lande already noted in his Bibliographie astronomique (Paris, 1803): «Ce livre est le premier où l'on ait traité analytiquement les orbites des planètes et des comètes».
One of the principal works of dynamical astronomy, Euler’s equations being of capital importance.