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"EULER, LEONHARD. - EULER'S SECOND LUNAR THEORY AND THE PROBLEM OF THREE BODIES.
Reference : 41682
(1769)
Nouvelle Méthode de Déterminer les Dérangemens dans le Mouvement des Corps Célestes, Causés par leur Action mutuelle. (New Method to determine the pertubations during the motion of heavenly bodies caused by their mutual attraction) - Réflexions sur le...
(Berlin, Haude et Spener, 1769). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome XIX,. (2 =halftitle Mémoires..),141-220. 1.memoir pp. 141-179 a. 1 enraved plate. - 2. pp. 180-193. - 3. pp. 194-220. - 4. pp. 221-234 a. 1 plate.
First printing of these 4 fundamental papers on the perturbations of the moon, as Euler was the first to use of the Calculus on the motion of the moon in relation to the attractive powers of the Moon, the Earth and the Sun. The theories laid down here is also called Euler's second theory and it is the most interesting. It was of the greatest importtence as a basis for later developments.""He applied his mathematics to astronomy, working out the nature of some perturbations, being in this respect the precursor of Lagrange and Laplace. He began to replace the geometric methods of proof used by Galileo and Newton with the algebraic, a tendency carried to its conclusion by Lagrange. In particular he worked on lunar theory, that is, on the analysis of the exact motion of the moon, the complications of which have been the despair of astronomers and mathematicians since the time of Kepler. - Eneström: 398, 399, 400 a. 401.
"EULER, LEONHARD. - INTRODUCING ""THE EULER CONSTANT"" AND ""THE FUNCTION NOTATION""
Reference : 50926
(1740)
De Linea celerrimi descensus in Medio qvocunqve resistente. (On the curve of fastest descent in whatever resistent medium). (+) De progressionibus harmonicis observationes. (On harmonic progressions). (+) De infinitis curvis iusdem generis seu methodu...
(Petropoli, St. Petersburg, Typis Academiae, 1740). 4to. No wrappers. In: ""Classes Prima continens Mathematica. Commentarii Academiae Scientiarum Imperialis Petropolitanae"", Tomus VII ad Annum 1735, &..... Euler's papers: pp. 135-149, 150-161, 174-183 a. 184-200 and 2 engraved plates. Clean and fine.
First printing of 4 importent early papers by Euler. Enestroem: E42, E43, E44 a. E45.E42: This is Euler's second paper on the ""Brachistochrone problem"".E43. Here Euler introduces THE EULER CONSTANT. ""The Euler-Mascheroni constant (also called Euler's constant) is a mathematical constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma.""E44: ""This is an extensive paper that develops a method for finding a family of curves arising from the constant of integration of dz = Pdx, which is treated as the second variable"" the rudiments of partial differentiation are presented, and there is an extensive survey of homogeneous functions centred around what is now know as Euler's Theorem for such functions. The origins of this paper would seem to be Proposition 15 of Vol. 2 of the Mechanica, relating to families of tautochronous curves, where an integration relying on Euler's Theorem is required."" (Ian Bruce).E45: Here Euler introduces the FUNCTION NOTATION f(x). ""This is an equally extensive paper that continues the development of methods for finding a family of curves arising from the constant of integration of dz = Pdx, which is treated as the second variable. A method is developed for finding the modular equation for the first order equation that is extended to cover a number of cases"" this in turn is extended to second and higher orders. The method involves finding suitable functions to integrate, starting from a part of the modular equation that is integrable, so that the whole equation is of this form. This paper is noteworthy in addition as it seems to be the first in which the function notation, albeit in a slightly different form from the modern meaning, is introduce. I have not been able to check all the equations at this stage.""(Ian Bruce).This section also contains DANIEL BERNOULLI: Demonstrationes theorematum svorum de oscillationibus corporum filo flexili connexorum et catenae verticaliter suspensae. Pp. 162-173.
"EULER, LEONHARD. - LIGHT REFRACTION AND THE WAVE THEORY OF LIGHT.
Reference : 48838
(1758)
Expériences pour determiner la Refraction de toutes Sortes de Liqueurs transparantes.
(Berlin, Haude et Spener, 1758). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome XI, 1756 pp. 235-266 and 1 folded engraved plate. Clean and fine.
First edition. In this memoir Euler records different experiments and their mathematical treatment with light refraction in liquids to follow up his own wave theory of light-refractions already put forward in 1746. - Enestrom: 234.
Discussion plus particuliere de diverses Manieres d'elever de L'Eau par le moyen des Pompes avec le plus grand Avantage. (In depth explanation concerning different methods with which to raise water through pumps with the greatest effectiveness).
(Berlin, Haude et Spener, 1754) 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome VIII, Année 1752. Pp. 149-184 and 1 folded engraved plates.
First appearance of an importent work on different kinds of water-pumps, analyzing their different amounts of force used.""Euler also investigated a number of concrete problems on the motion of liquids and gases in pipes, on vibration of air in pipes, and on propagation of sound. Along with this, he worked on problems of hydrotechnology, discussed, in part, above. Especially remarkable were the improvements he introduced into the design of a hydraulic machine imagined by Segner in 1749 and the theory of hydraulic turbines, which he created in accordance with the principle of action and reaction (1752-1761).""(DSB).Eneström E 207.
Réfléxions sur quelques Loix génerales de la Nature qui s'observent dans les Effets des Forces quelconques. (Reflection on some general laws of nature which are observed in the effects of random forces).
(Berlin, Haude et Spener, 1750). 4to. No wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"" Tome IV, Année 1748. Pp. (189-) 218 and 1 engraved plate.
First appearance of this paper, in which Euler proves that given the static principle, he can derive the equilibrium conditions for a fluid, and from these, he obtains the integrability conditions for a ""Pfaffian"" form in three variables. He also looks at the equilibrium of a weight suspended from three elastic cords by looking, via analogy, to a special case of the problem for fluids.""In his 1748 paper, Euler in ""Reflexions sur quelques loix generales de la nature.."" starts by declaring his commitment to the least-action principle. His expression corresponds to what we would now call potential energy, so that his statement of least action (formulated by Maupertuis in 1746) in statics is equivalent to the principle that a system of bodies at rest will adopt a configuration that minimizes total potential energy. Euler called this quantity ""effort"".""Enestrom: E 146.
"EULER, LEONHARD. - SOLVING FOR THE FIRST TIME THE CONTACT PROBLEM OF FRICTION.
Reference : 45497
(1750)
Sur l'atmosphere de la Lune prouvée par la derniere eclipse annulaire du Soleil. (On the atmosphere of the moon as proved by the last ringed eclipse of the sun) + Sur le frottement des corps solides. (On the friction of solid bodies) + Sur la diminu...
(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.
De Summis serierum reciprocarum. (On the sums of series of reciprocals).
(Petropoli, St. Petersburg, Typis Academiae, 1740). 4to. No wrappers. In: ""Classes Prima continens Mathematica. Commentarii Academiae Scientiarum Imperialis Petropolitanae"", Tomus VII ad Annum 1735, &..... Euler's paper: pp. 123-134 a. 1 engraved plates. A small brownspot in margin of first leaf, otherwise clean.
First printing of a major mathematical paper in Number Theory in which Euler solves the Basel Problem. Euler finds an exact expression for the sum of the squares of the reciprocals of the positive integers, namely pi2/6. It was ""Euler’s first celebrated achievement ... his solution in 1735 of the ""Basel Problem""..."" (Ed Sandifer).""This is one of Euler's most celebrated papers, in which he demonstrates formulas such as Pi 2= sum of the inverse squares of the positive integers, and many more, on equating the sine expansion of a circular arc to the infinite product of the simple factors of the associated multiple arcs."" (Ian Bruce).Enestroem E41.
De Superficie Conorum Scalenorum, aliorumqve corporum conicorum. (On the surface of scalene cones and of other conic bodies). (+) Theoremata circa divisores numerorum. (Theorems on divisors of numbers). (2 papers by Euler).
(Petropoli (St. Petersbourg), 1750). 4to. Uncut, without wrappers. Extracted from ""Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae"", Tom. I. ad Annum 1747 et 1748. Pp. 3-19 a. 1 engraved plate., and pp. 20-48.
First printing of both papers. The second is important as it contains Euler'is second proof of the Euler-Fermat theorem, which Euler presents as a consequence of the theorem that (a+b)p = ap+bp (mod p). This paper also includes results about possible divisors of a2n + b2n, and Euler uses this to show again that F5 is not prime. - Enestroem No. 133 a. 134.
Sur le Point de Rebroussement de la seconde Espece de mr. le Marquis de l'Hopital. (On the nispidal points of the second kind of Mons. le Marquis de l'Hopital). (+) Recherches sur les Racines Imaginaires des Equations. (Research on imaginary roots o...
(Berlin, Haude et Spener, 1770). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", Tome V, pp. 203-221, 1 plate and pp. 222-288, 1 engraved plate.
Both papers first edition. The first paper is Euler's discussion of ""Cramers Paradox"" and it contains his inventions of 2 kinds of curves, ""Cusps of first kind"" or keratoid cusp and ""Cups of second kind"" or ramphoid cusp. - Enestroem E 169.The second paper contains Euler's famous proof of ""The fundamental Theorem of Algebra"". - Enestroem E 170.
3 works by Euler: Nouvelle Méthode d'Éliminer les Quantités inconnues des Equations. - Recherches sur les Microscopes a´Trois Verres et les Moyens de les Perfectionner. - Sur L'Avantage du Banquier au Jeu du Pharaon.
(Berlin, Haude et Spener, 1766). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles Lettres"", tome XX, pp. 91-164 (91-116"117-143"144-164). 1 engraved plate ( belonging to ""Microscope..."")
3 first editions by Euler in algebra, in optics and in the theory of chance - in this last paper he discusses the so-called St. Petersburg paradox, the Game Pharon.
Examen de la dissertation de M. le Professeur Koenig, inseree dans les actes de Leipzig, pour le mois de mars 1751. (Examination of the dissertation of Professor Koenig inserted into the Acts of Leipzig for the month of March 1751) (+) Essay d'une D...
(Berlin, Haude et Spener, 1753). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome VII, Année 1751. Pp. 221-245 and pp. 246-254 a. 1 engraved plate.
First editions. The first paper concerns the Argument over the principle of least action, relating to the famous controversy - and one of the ugliest scientific controversies - between Koenig and Maupertuis. ""In 1751 a sensational new argument began when S. König published some critical remarks on Maupertuis’s principle of least action (1744) and cited a letter of Leibniz in which the principle was, in König’s opinion, formulated more precisely. Submitting to Maupertuis, the Berlin Academy rose to defend him and demanded that the original of Leibniz’ letter (a copy had been sent to König from Switzerland) be presented. When it became clear that the original could not be found, Euler published, with the approval of the Academy, ""Exposé concernant l’examen de la lettre de M. de Leibnitz"" (1752), where, among other things, he declared the letter a fake. The conflict grew critical when later in the same year Voltaire published his Diatribe du docteur Akakia, médecin du pape, defending König and making laughingstocks of both Maupertuis and Euler.""(DSB) - Enestrom No. 199.The second paper - Enestrom No. 200.
"EULER, LEONHARD. - THE MATHEMATICAL THEORY OF WINDMILL-EFFECTS.
Reference : 42952
(1758)
Recherches plus exactes sur L'Effet des Moulins à Vent. (Refined studies into the effect of windmills)
(Berlin, Haude et Spener, 1758). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome XII, 1756. Pp. 165-234 a. 1 folded engraved plate.
First printing of Euler's importent large memoir in which he develops the mathematical theory of windmills, and generates analytically the equations of the effects of winds on duoble-bended surfaces in relation to mechanical work. - Together with d'Alembert and Daniel Bernoully, Euler laid the foundation of mathematical physics. - Enestroem E 233.
"EULER, LEONHARD. - THE OPTICAL THEORY OF COMPOUND LENSES FOR TELESCOPES AND MICROSCOPES.
Reference : 45126
(1759)
Régles générales pour la Construction des telescopes et de Microscopes, de quelque nombre de Verres qu'ils soient composés. (Rules for the construction of telescopes and microscopes).
(Berlin, Haude et Spener, 1759). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles Lettres"", Année 1757, tome XIII, pp. a. 1 engraved plate.
First printing of an importent paper in which Euler shows how to manufacture catoptrical telescopes and microscopes in accordance with general rules and founded on his own experiments. - The calculation concerning light ray aberrations, brought about due to the sphericty of the glass, is a masterpiece of analysis of the highest order and he also incorporates the mathematical theory of achromatic combination of lenses, which was first realized by Dollond in the same year, 1757.
Harmonie entre les Principes generaux de repos et de Mouvement de M. de Maupertuis.
(Berlin, Haude et Spener, 1753). 4to. No wrappers, as extracted from ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome VII, pp. (167-)198.and 2 folded engraved plates.
First printing of this memoir in which Euler tries to show that the ""harmony"" between Maupertuis' Law of rest, which he formulated for any system of bodies attracted by forces, is a generalization of his own Principle of least Action.
"EULER, LEONHARD. - THE RETROGRADE MOVEMENTS OF THE PLANETS.
Reference : 46593
(1748)
Mémoire sur la plus grande Équation des Planetes. (Memoir on the Maximum Value of an Equation of the Planets).
(Berlin, Haude et Spener, 1748). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome II, 1746. Pp. 225-248.
First apperance of Euler's mathematical treatment of the retrograde motions of the planets. He discusses the fact that planets observed from the earth exhibit a very irregular motion. In general, they move from west to east along the ecliptic. At times however, the motion slows to a stop and the planet even appears to reverse direction and move from east to west. We call this retrograde motion. After some time the planet stops again and resumes its west to east journey. However, if we observe the planet from the stand point of an observer on the sun, this retrograde motion will not occur, and only a west to east path of the planet is seen. These facts Euler treats mathematically.
Palace of the Mind. The Cloister of Silos and Spanish Sculpture of the Twelfth Century.
Turnhout, Brepols, 2012 Hardback, 300 pages ., 300 b/w ill., 210 x 280 mm. fine condition !! ISBN 9782503517117.
The extraordinary cloister of Santo Domingo de Silos is central to our understanding of medieval sculpture, and of Spain's place in its development. Elizabeth Valdez del Alamo offers an innovative reading of the monastery's medieval sculpture and the first complete study in English. Her carefully documented work revises many traditional theories about the site built during the late eleventh and twelfth centuries. Rather than expressing resistance to religious reform, as commonly held for the renowned Emmaus and Thomas reliefs of the first campaign, they embrace the newly imposed Roman rite. The sirens, dragons, lions, and birds of the capitals are shown to have significance beyond mere decoration. The inventive images of the second campaign, an Annunciation-Coronation and a Trinity set into the Tree of Jesse, derive specifically from monastic devotion, colored by local concerns such as the Reconquest. Languages: English.
GIOTTO Scuola Editrice
1962 1962. grand format cartonné avec jacquette 64 pages édition originale difficile à trouver. bel ouvrage de collection avec galerie de reproductions couleur des oeuvres de l'Artiste ; introduction (13 pages) en italien et 25 planches hors-texte en couleurs contrecollées sur vélin épais avec un texte explicatif en regard en italien français anglais et allemand. en TRES BEL ETAT sans déchirures ni annotations; intérieur impeccable propre et frais; très bel ouvrage
Très bon état
Evelyne Rigouard Jean-Pierre Rigouard
Reference : 500060218
(2009)
ISBN : 9782915907605
Les lignes ferroviaires : Paris - Bordeaux
Editions Delattre 2009 160 pages 21x1x30cm. 2009. Broché. 160 pages.
Neuf sous blister
[Excerpta Medica Foundation] - Excerpta Medica, the international medical abstracting service ; Müller, H. K. (Chairman)
Reference : 48824
(1966)
XX International Congress of Ophtalmology, Munich 14-19 August 1966 ( Excerpta Medica , International Congress Series N° 114 : Abstracts of reports and free communications )
1 vol. in-8 softcover, International Congress Series n° 114, Excerpta Medica Foundation, Amsterdam - New York - London - Milan - Tokyo - Buenos Aires, June 1966, 103 pp. (English), 107 pp. (Deutsch), 106 pp. (Français).
Nice copy. With full content in English, then German and French.
Exchanges and Interactions in the Arts of Medieval Europe, Byzantium, and the Mediterranean
Reference : 52099
Convivium 5.2 (2018)
, Brepols - Harvey Miller, 2018 Paperback, Languages: English, French, Italian, 168 p., 215 x 260 mm. ISBN 9782503578354.
Editorial: Ivan Foletti& Elisabetta Scirocco Reflections on Mobility, the Roots and Prospects of European Culture Articles: Hans Belting A venetian Artist at the Ottoman Court. An Encounter of Two Worlds Mzia Janjalia in collaboration with Marina Bulia Trend versus Cultural Context in Medieval Art. The Case of the Kirants Paintings Daniela Rywikova Virtues and Vices Reformed? Visual Pastoralia in Fourteenth-Century Bohemian Art Anita Paolicchi Hoc brachium est beati Iohannis Baptistae. Osservazioni sulla provenienza della reliquia di San Giovanni Battista conservata a Siena Sarah S. Wilkins Countenances as Lightning. The Materiality of the Noli me tangere Fresco in Assisi Rafca Y. Nasr The Virgin Blachernitissa of Barghoun (Lebanon). Image of the Altar or the Priest Exposing the Host Chiara Croci Una cosmografia Cristiana? Le radici astronomiche della cupola del perduto edificio martiriale di San Prisco presso Capua (v sec.) Chronicle & Debates: Thomas Kaffenberger A Newly Discovered Church in Cyprus. Remarks on New Architectural Forms? Modes of Transmission in Sixteenth-Century Mediterranean Ivan Foletti Vivre le pelerinage (medieval). Une experience corporelle Reviews: Armin F. Bergmeier Hagia Sophia. Sound, Space, and Spirit in Byzantium, Bissera V. Pentcheva, University Park (pa), The Pennsylvania State University Press 2017 Dorothy F. Glass E la Parola si fece bellezza (Atti del Convegno internazionale sugli amboni istoriati toscani, 19?28 maggio 2016), edited by Timothy Verdon and Giovanni Serafini, Florence, Mandragora 2017 Adrian S. Hoch Images and Words in Exile: Avignon and Italy during the First Half of the 14th Century, edited by Elisa Brilli, Laura Fenelli and Gerhard Wolf, Florence, sismel ? Edizioni del Galluzzo 2015
FORCE DE LA DOUCEUR (LA)
EXLEY 2015 14 86x21 41x1 85cm. 2015. Broché.
Très bon état - livre issu de destockage - pouvant présenter d'infimes traces de stockage trace d'appui sur dos de couverture - Expédié soigneusement dans emballage adapté
An account of a Voyage to India, China, etc. in His Majesty's Ship Caroline performed in the Years 1803-4-5, interspersed with descriptive sketches and cursory remarks
London: printed for Richard Phillips, By J.G. Barnard, 1806. 1 volume 8vo, 138-iii pp., rebound in half leather binding, with the folding chart, but without the map, some light waterstains on the last 20 pages, a very good copy.
"This work was intended to exhibit a topographical and picturesque sketch of all the principal places which were annually or occasionally visited by the British East India and China fleets. Places visited included Madeira, Cape of Good Hope, Ceylon, Madras, Bengal, the Andaman Islands, Penang, Malacca, Sumatra, Macao, and Canton." (Hill) Cordier 2106. Hill p. 156
Niederl. Maler.
O.J. (um 1700). Kupferstich. Bildgrösse: 18 x 14 cm. Blattgrösse: 32 x 21 cm.
Gebräunt sowie am Rande etwas stockfleckig.
Niederl. Maler.
O.J. (um 1700). Kupferstich. Bildgrösse: 18 x 14 cm. Blattgrösse: 32 x 21 cm.
Leicht gebräunt sowie am Rande etwas stockfleckig.
"EÖTVÖS, ROLAND v. (LORÁND). - ESTABLISHING THE PROPORTIONALLITY BETWEEN GRAVITATIONAL AND INERTIAL MASS.
Reference : 43815
(1896)
Untersuchungen über Gravitation und Erdmagnetismus.
(Leipzig, Johann Ambrosius Barth, 1896). Without wrappers as issued in ""Annalen der Physik und Chemie. Hrsg. von G. Wiedemann."", Neue Folge Bd. 59, Zehntes (No 10 1896). Entire issue offered. Pp. 193-416 a. 1 folded plate. Eötvös's paper: pp. 354-400 a. 15 large textillustrations, depicting his experimental apparatus. Clean and fine.
First appearance of Eötvös's main paper on gravitational phenomena, which became the subject of his lifework, and in which he showed experimentally, that the inertial mass and the gravitational mass are proportional, a discovery that became ONE OF THE BUILDING STONES OF THE THEORY OF GENERAL RELATIVITY.""The second extremely important application of the Eötvös balance involved a predetermination of the rate of gravitational acceleration for different bodies. It had been known from earlier work that all bodies fall with the same acceleration (in a vacuum), but the best previous determinations yielded only a limited accuracy. In response to a prize announcement by the University of Gottingen, Eötvös and his collaborators followed up his early measurements on this subject. The new measurements provided not merely a more accurate proof of a principle believed right until then, but much more: his results, proving that gravitational mass and inertial mass are equivalent, the possible deviation being about five parts in 109, became one of the building stones of the theory of general relativity. The experiment proves the “weak” form of the principle of equivalence, which states that the trajectory of a test particle, under the influence of gravitational fields only, depends only on its initial position and velocity, not on its mass and nature. Later confirmation of his results (during the last fifty years) reduced the possible deviation from perfect equivalence by a factor of 1,000."" (DSB, IV, 379 ff.).
