‎WOLMAN (Gil J.)‎
‎Motus‎

‎Théorie du mouvement des corps célestes parcourant des sections coniques autour du soleil ; traduction du "Theoria Motus" de Gauss, suivie de notes‎

‎Paris, Arthus Betrand, (1864), in-8, XII-VIII-380 pages, 3 planches, demi-chagrin marron de l'époque, dos à nerfs, Première édition française, peu courante, du Theoria Motus corporum coelestium de Gauss, parue en 1809. En 1855 avait paru une Méthode des moindres carrés. Mémoires sur la combinaison des observations, recueil au sein duquel était inséré une traduction d'une partie du Theoria Motus. En 1865, Dubois (1822-1891), professeur d'hydrographie à l'École navale, traduit, pour la première fois en français, dans son intégralité, ce texte d'astronomie de Gauss d'une importance essentielle dans l'histoire des théories mathématiques de l'observation astronomique et pour le développement des théories probabilistes à partir de la méthode des moindres carrés. Exemplaire qui contient une planche supplémentaire, montée in fine sur onglet. Jointe : une planche volante dessinée à l'encre. Une note manuscrite sur la dernière garde blanche, datée de février 1882 ("Note sur le calcul de l'anomalie excentrique"). Ex-libris manuscrit sur le titre. Petites épidermures. Quelques rousseurs, une planche fortement oxydée. Couverture rigide‎

‎Bon XII-VIII-380 pages, 3‎

‎Terrae motus Fondazione Amelio Terrae Motus: Naples Tremblement de terre‎

‎ [Napoli]: Guida, 1987., 1987 in4, reliure pleine toile, First Edition. 302 pp. texte Français / italien ‎

‎OPERA OMNIA MEDICO-PRACTICA, ET ANATOMICA. EDITIO ACCURATISSIMA, CUI PRAETER DISSERTATIONES, & ALIOS TRACTATUS PRAECEDENTIBUS EDITIONIBUS ADJUNCTOS, ITEM EJUSDEM GEORGII BAGLIVI CANONES DE MEDICINA SOLIDORUM, DISSERTATIONEM DE PROGRESSIONE TERRAE-MOTUS, DE SYSTEMATE & USU MOTUS SOLIDORUM IN CORPORE ANIMATO, DE VEGETATIONE LAPIDUM & ANALOGISMO CIRCULATIONIS MARIS AD CIRCULATIONEM SANGUINIS. ACCESSIT INDEX RERUM VERBORUMQUE COPIOSISSIMUS, NEC NON J.D. SANTORINI OPUSCULA QUATUOR, DE STRUCTURA & MOTU FIBRAE, DE NUTRITIONE ANIMALI, DE HAERMORRHOIDIBUS, & DE CATAMENIIS. ‎

‎LUGDUNI. SUMPTIBUS PETRI BRUYSET & SOCIORUM. 1745. IN-4 (18,5 X 23 X 6 CENTIMETRES ENVIRON) DE (6) + XLII + (10) ET 918 PAGES, RELIURE D'EPOQUE PLEIN VEAU MARBRE, DOS A CINQ NERFS ORNE DE CAISSONS A FLEURONS DORES, TITRE DORE, TRANCHES ROUGES. ILLUSTRE DE 3 PLANCHES HORS TEXTE, DONT UNE PLANCHE DE TARENTULES (SANS LE PORTRAIT EN FRONTISPICE). MEDECIN D’UNE GRANDE SCIENCE, MORT PREMATUREMENT, BAGLIVI NOUS LIVRE DANS CET OUVRAGE DE CURIEUSES OBSERVATIONS SUR LES PIERRES PRECIEUSES ET UNE DISSERTATION FORT DOCUMENTEE SUR LE TREMBLEMENT DE TERRE DE ROME EN 1703. A NOTER EGALEMENT DES OBSERVATIONS SUR LA MORSURE DE LA TARENTULE. QUELQUES DEFAUTS EXTERIEURS, SINON BON EXEMPLAIRE. ‎

‎Theoria motus corporum solidorum seu rigidorum exprimis nostrae cognitionis principiis stabilita et ad omnes motus qui in huiusmodi corpora cadere possunt accommodata. Volumen prius edidit Charles Blanc. ‘Leonardi Euleri Opera Omnia’ series secunda. Opera mechanica et astronomica. Volumen tertium (Gesamtausgabe der Werke von Leonhard EULER Band III). Auctoritate et impensis societatis scientiarum naturalium helveticae Bernae MCMXLVIII.‎

‎Leipzig, B.G. Teubner, 1948, gr. in-4to, XII + 1 Bl. + 327 S., Original-Pappband. Schönes Exemplar.‎

‎Theoria motus corporum coelestium in sectionibus conicis solem ambientium. - [THE METHOD OF LEAST SQUARES REVEALED]‎

‎Hamburg, Frid. Perthes & I.H. Besser, 1809. 4to (224 x 261 mm). In a later full cloth binding with gilt lettering to spine and blindtooled borders to boards. Very few occassional brownspots. A fine and clean copy. [Blank], XI, (1), 227, (1), 20, [blank] pp. + 1 folded plate.‎

‎First edition of this epochmaking work in mathematical statistics and mathematical and computational astronomy. Here, Gauss revealed for the first time his method of least squares which became “the dominant theme – the leitmotif – of nineteenth-century mathematical statistics” (Stigler, p. 11). Together with his ‘Disquisitiones Arithmeticae’ this work “established his reputation as a mathematical and scientific genius of the first order.” (DSB) Here he presented “an analysis of the problems arising in the determination of the motions of the planets and comets from a limited number of observational data"" (PMM 257 note). ""In this work Gauss systematically developed the method of orbit calculation from three observations he had devised in 1801 to locate the planetoid Ceres, the earliest discovered of the 'asteroids,' which had been spotted and lost by G. Piazzi in January 1801."" (Norman 879). On January 1, 1801, the Italian astronomer Giuseppe Piazzi discovered the planetoid Ceres, but could only observe it for few days before it was lost in the glare of the Sun until the end of the year. After so many months of not being observed it was not possible to calculate with existing methods at which position it should reappear. Gauss, however, at an age of 24, astounded the world, when in December of that same year he predicted the exact location at which Ceres could again be observed. He did not reveal how he had calculated the orbit of Ceres. Only in 1809, when Gauss published his second book ""Theoria motus corporum coelestium in sectionibus conicis solem ambientium"" (the offered item), did he reveal his new method of orbit calculation. In the first part he dealt with differential equations, conic sections and elliptic orbits, while in the second part, the main part of the work, he showed how to estimate and then to refine the estimation of a planet's orbit using a new method involving minimizing the sum of squared residuals, i.e. the method of least squares. He was able to prove the correctness of the method under the assumption of normally distributed errors. It is here that the Gaussian curve, expressing statistical distribution in probability, makes its first appearance. Sparrow 81. Barchas 792.Norman 879. Dibner 114n. PMM 257 (Mentioned in note). Hald: History of Mathematical Statistics 1750-1930, pp.351-357.‎