Dissertatio cum nuncio sidereo. narratio de observatis Jovis satellitibus

Johannes Kepler (Weil der Stadt, 1571-Regensburg, 1630) is the famous astronomer and mathematician who discovered the three planetary laws named after him. In 1615 he published the Nova stereometria doliorum vinariorum // New solid geometry of wine barrels, his most important mathematical monograph. It made him a precursor of infinitesimal mathematics. He himself told the reader in the dedication to his two patrons that his second marriage caused him to write this mathematical treatise. When he stocked up with wine barrels in his capacity as head of a new family he was astonished at the way in which the seller used the gauging rod. The man explored all wine barrels with one and the same rod indifferently without paying heed to the shape, and without ratiocination or calculation.Hence Kepler felt obliged to try to lay down, according to geometrical laws, a new foundation for the mathematical certainty of this measurement and to bring to light its fundamentals, if there should be any. To that end he began with a new interpretation of Archimedes?s results in plane and solid geometry that was based on indivisibles considered as infinitely small quantities. He could not know that his Greek predecessor had used the same method in his letter to Eratosthenes, known as ???? ??? u???????? ?????u???? ?????? or Approach related to mechanical theorems, rediscovered by Johan L. Heiberg in 1906. Yet, Kepler surpassed the results of his model by his own results. He investigated the volumes of surfaces of rotation like the volumes of apples, lemons, and spindles, that is, he investigated the solid geometry of figures that are closest to conoids and spheroids. But Kepler?s treatise is by no means restricted to its role in the prehistory of the calculus. The second part is full of non-trivial, new results concerning the special relations between cylinders and so-called conjugate conical frustums. He demonstrated that the Austrian barrel has the largest volume among all barrels with the same gauging length. Thus the third part explains the use of the gauging rod.The volume presents, along with the original Latin text, the first complete translation of Kepler?s monograph into any modern European language, in this case into English. The comprehensive introduction includes a survey of Kepler?s life and works and explains the main ideas, methods, and results of this mathematical masterpiece.

Lars Kepler est le pseudonyme du couple d'écrivains Alexander et Alexandra Ahndoril. Mariés dans la vie, ils ont écrit plusieurs romans chacun. Best-seller en Suède, en cours de traduction dans plus de trente pays, L'Hypnotiseur est leur premier roman à quatre mains. Une seconde enquête de l'inspecteur Joona Linna, parue en Suède au début de l'été 2010, a pris directement la tête des ventes.

Dans le demi-siècle qui suit la publication du De revolutionibus (1543), aucun astronome n'a repris les recherches cosmologiques de Copernic : il était réservé à un jeune homme, âgé seulement de vingt-cinq ans, de prendre directement la succession de Copernic en publiant son premier ouvrage, le Mysterium cosmographicum (Tübingen, 1596). Dans cet ouvrage, Kepler (1571 - 1630) se proposait d'établir définitivement la supériorité du système copernicien sur tous les autres, en montrant que seul ce système s'accordait avec les archétypes dont Dieu avait usé pour mettre en ordre le monde. Cette traduction - la première dans notre langue - est accompagnée d'une annotation abondante et de quatre appendices formés de textes peu connus, illustrant l'histoire de la diffusion du copernicianisme au XVIIème siècle.