Paris, chez Adrien Le Clere, 1805, 1 broché, sans couverture. in-8 de VIII-72 pages ;
Léonhard Euler, physicien et mathématicien suisse.
Phone number : 06 80 15 77 01
Paris, Charpentier, 1866. 2 vol. in-8, XXVIII404 pp. + 412 pp., demi-basane vert foncé, dos à nerfs orné de filets à froid, tranches mouchetées (petites épidermures).
Édition de la correspondance scientifique et philosophique entre le mathématicien suisse Leonhard Euler et la princesse d'Anhalt-Dassau. Elle est illustrée de 215 figures gravées sur bois dans le texte. Il contient aussi l'éloge d'Euler par Condorcet et une introduction ainsi que des notes d'Émile Saisset. * Membre du SLAM et de la LILA / ILAB Member. La librairie est ouverte du lundi au vendredi de 14h à 19h. Merci de nous prévenir avant de passer,certains de nos livres étant entreposés dans une réserve.
"EULER, LEONHARD. - SOLVING FOR THE FIRST TIME THE CONTACT PROBLEM OF FRICTION.
Reference : 45497
(1750)
(Berlin, Haude et Spener, 1750). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome IV, pp. 103-121 + pp. 122-132 + pp. 133-148 and 6 engraved plates (on 5).
Three first editions by Euler. Euler's goal in the first paper is to show that certain phenomena that resulted from the eclipse of July 25, 1748 are evidence that the moon has an atmosphere that is almost 200 times less dense than that of the earth. (The phenomena Euler observed are optical effects of light passing close to a sharp edge, and not the refraction of a lunar atmosphere).The other papers on the physics of rigid bodies are groundbreaking as Euler here set forth what is known as ""Euler's dynamical equations of the motion of the mass-center of any solid"", and thus STATING FOR THE FIRST TIME THE LAW OF DRY FRICTION, mathematically. Euler explains his experiments with the inclined plane and discovers the DIFFERENCE BETWEEN KINETIC AND STATIC FRICTION.""Leonhard Euler occupied himself with the mathematical point of view of friction as well as the experimental. He introduced the differentiation between static frictional forces and kinetic frictional forces, and solved the problem of rope friction, probably the first contact problem to be analytically solved in history. (1750, the papers offered). He was the first to lay the foundations of the mathematically way of dealing with the law of dry friction and in this way promoted further development. We have to thank for the symbol as the coefficient of friction. Euler worked with the idea that friction originates from the interlocation, between small triangular irregularities.This understanding survived, in different variations,for a hundred years and is also used today as the ""Tomlinson Model"" in connection with friction on atomic scale.""(L. Popov ""History of the Contact Mechanics and the Physics of Function"", p.3).Eneström: E142, E143, E144.
Berlin : Akademie-Verlag, 1959, 1961. gr. in-8vo, (X) + 327 S. + 2 Tafeln / (XII) + 463 S., Original-Leinenband. OU.
1) Der Briefwechsel L. Eulers (Euler) mit G. F. Müller 1735 - 1767. / 2) der Briefwechsel mit Nartov, Razumovskij, Schumacher, Teplov und der Petersburger Akademie 1730-1763.
Phone number : 41 (0)26 3223808
Leipzig, B.G. Teubner, 1948, gr. in-4to, XII + 1 Bl. + 327 S., Original-Pappband. Schönes Exemplar.
Phone number : 41 (0)26 3223808
Basel, Birkhäuser 1975, gr. in-4to, Frontispiz-Porträt in Farbe + XVIII + 1 Bl. + 666 S., Verlagseinband, Rückenschild, O.Umschlag (Eingerissen) / reliure blanc de l’éditeur (Imit. Leder?), pièce de titre orange au dos, jaquette (avcec déchirures)
Phone number : 41 (0)26 3223808
Basel, Birkhäuser 1980, gr. in-4to, Frontispiz-Porträt + VIII + 1 Bl. + 611 S., Verlagseinband, Rückenschild, O.Umschlag (eingerissen) / reliure blanche de l’éditeur, pièce de titre orange au dos, jaquette (avec déchirures).
Phone number : 41 (0)26 3223808