‎Mathematics‎

‎"DEDEKIND, VON R.‎

‎Ueber Gruppen, deren sämmtliche Theiler Normaltheiler sind. - [FIRST PRINTING OF DEDEKIND GROUP / HAMILTONIAN GROUP]‎

‎Leipzig, B.G. Teubner, 1897. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. 48. Band. 4. Heft."" Entire issue offered. Minor soiling to back wrapper, internally fine and clean. [Dedekind:] Pp. 548-61. [Entire issue: 433-606, (2) pp.].‎

‎First printing of Dedekind groups, named named after Richard Dedekind, who investigated them in proving a form of the above structure theorem (for finite groups). He named the non-abelian ones after William Rowan Hamilton, the discoverer of quaternions.In group theory, a Dedekind group is a group G such that every subgroup of G is normal. All abelian groups are Dedekind groups. A non-abelian Dedekind group is called a Hamiltonian group‎

Bookseller reference : 44919

‎"DEMING, W. EDWARDS - GIVING BIRTH TO JAPAN'S INDUSTRIAL SUCCESS.‎

‎6 papers, all in offprints relating to Industrial Quality Control. 1. Some Principles of the Shewart Methods of Quality Control. (1944) - 2. Statistical techniques and international Trade. (1953). - 3. Die verantwortung der betriebsführung für die Anw...‎

‎Different Places, 1944-56. 8vo and 4to. 6 offprints as issued. Offprints from different Journals. Clean and fine.‎

‎First appearance of these papers in which Deming exposed his techniques of increasing production processes based on Shewart's methods of quality control. A number of Japanese manufacturers applied his techniques widely and experienced heretofore unheard-of levels of quality and productivity. The improved quality combined with the lowered cost created new international demand for Japanese products.""In 1950, W. Edwards Deming, at the request of the Union of Japanese Scientists and Engineers, give a series of lectures in Japan on Shewhart’s statistical quality control of industrial processes. These lectures were the catalyst that gave birth to Japan’s industrial efficiency and emphasis on highest attainable quality of manufactured products."" (DSB)..‎

Bookseller reference : 48798

‎"DIRICHLET, G. LEJEUNE. - THE INTRODUCTION OF THE ""DIRICHLET SERIES""‎

‎Recherches sur diverses applications de L'Analyse infinitésimale à la Théorie des Nombres. Premiere - Seconde artie. (2 Papers).‎

‎Berlin, G. Reimer, 1839-40. 4to. Without wrappers. Extracted from: ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 19 a. Bd. 21, pp. 324-369 a. pp. 1-12.. 4 leaves in part 1 with browning, due to the poor paperquality.‎

‎First appearance of this importent paper in which he introduces the ""Dirichlet series"", applicating analysis to the theory of numbers. The paper is especially known for its central use of the limiting proces.‎

Bookseller reference : 41972

‎"DIRICHLET, GUSTAV PETER LEJEUNE.‎

‎Solution d'une question relative à la théorie mathematique de la chaleur.‎

‎Berlin, G. Reimer, 1830. 4to. No wrappers. As extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 5. Band"". No backstrip. A fine and clean copy. 287-295 pp. [Entire issue: 287-318 pp].‎

‎First printing of Dirichlet's paper in which he uses his methods to simplify the treatment of a problem by Fourier (theory of Fourier series): the temperature distribution in a thin bar with given temperatures at the endpoints.‎

Bookseller reference : 45782

‎"DIRICHLET, LEJEUNE (+) DEDEKIND.‎

‎Untersuchungen über ein Problem der Hydrodynamik [Dirichlet] (+) Zusatz zu der vorstehenden Abhandlung [Dedekind].‎

‎Berlin, Georg Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1861, band 58. Without backstrip. Fine and clean. Pp. 181-228.‎

‎First printing of these two important papers on gravitational interaction from bodies, such pseudo-rigid bodies, thereby ""opened a new direction"", a direction which later inspired Riemann to turn his attention to the problem""Without the gravitational interaction from another body, such pseudo-rigid bodies havereceived attention in many references. The interest was initiated by Newton in Principia, where he showed that a spinning axi-symmetric self-gravitating body of ?uid that is rotating slowly about the symmetry axis will be oblate. Jacobi in 1834 extended the work of Newton, but also work of Maclaurin, to show that a self-gravitating ?uid also can take on ellipsoidal shapes. The solutions of Jacobi, Maclaurin and Newton were, however, still all rigid. In a frame rotating with the body the ?uid is stationary. Dirichlet and Dedekin, [in the present two papers], respectively, opened a new direction when they found a symmetry that applied to Jacobi's solution generated a new solution in which the body isstationary in shape but the ?uid particles follow elliptical paths in planes orthogonal to a principle axis of the ellipsoid. Dirichlet's paper inspired Riemann to turn his attention to the problem. He gave a classi?cation of the solutions of Dirichlet's equations for which the ellipsoidal shape of the body remains constant. At the heart of this classi?cation lies what is now known as Riemann's theorem: the angular velocity and circulation (i) lie in the same principle plane and (ii) if the angular velocity is parallel to a principle axis then the circulation vector must also lie along that same principle axis."" (Kristiansen, The two-body problem of a pseudo-rigid body and a rigid sphere)‎

Bookseller reference : 49315

‎"DUBISLAV, WALTER. - DEDICATION COPY.‎

‎Die Philosophie der Mathematik in der Gegenwart.‎

‎Berlin, Junker und Dünnhaupt, 1932. Lex8vo. Orig. printed wrappers. A small nick to frontwrapper at top of spine. Stamps on halftitle and foot of titlepage. VIII,88 pp. Inscribed from the author on halftitle (to Jørgen Jørgensen) ""Mit den besten Grüssen vom Verf./ übersandt"". From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontwrapper.‎

‎First edition (Philosophische Forschungsberichte Heft 13).Dubislav was joint founder (with Hans Reichenbach and Kurt Grelling) of the 'Berlin Society for Empirical (later: Scientific) Philosophy' (Berliner Gesellschaft für empirische Philosophie), which, along with the Vienna Circle, is one of the points of origin of logical empiricism. The founding members of the Berlin Circle were listed as sympathisers within the Vienna Circle.Dubislav focused on a logical and mechanistic foundation of mathematics and physics, influenced by Bernard Bolzano's ""Theory of Science"" (Wissenschaftslehre). He presented a formalised account of Gottlob Frege's theory of definitions.‎

Bookseller reference : 48033

‎"EISENSTEIN, G. [GOTTHOLD].‎

‎Allgemeine Untersuchungen über die Formen dritten Grades mit drei Variabeln, welche der Kreistheilung ihre Entstehung verdanken.‎

‎Berlin, G. Reimer, 1844. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 28 Band, 4. Heft, 1844"". Without wrappers and backstrip. Fine and clean. [Eisenstein:] Pp. 289-374. [Entire issue: 289-380 + 2 folded plates].‎

‎"EISENSTEIN, G. [GOTTHOLD].‎

‎Einfacher Beweis und Verallgemeinerung des Fundamentaltheorems für die biquadratischen Reste (+) Geometrischer Beweis des Fundamentaltheorems für die quadratischen Reste.‎

‎Berlin, G. Reimer, 1844. 4to. In ""Journal für die reine und angewandte Mathematik, 28 Band, 3. Heft, 1844"". In the original printed wrappers, without backstrip. Last leaf with repair. Fine and clean. [Eisenstein:] Pp. 223-245" " Pp. 246-247. [Entire issue: 193-288, (2), + two folded plates.]‎

‎"EISENSTEIN, G. [GOTTHOLD].‎

‎Théorèmes sur les Formes cubiques et Solution d'une Equation du quatrième Degré à quatre indéterminées (+) Über die Anzahl der quadratischen Formen, welche in der Theorie der complexen Zahlen zu einer reellen Determinante gehören (+) Allgemeine Auflös... - [""THERE HAVE BEEN ONLY THREE EPOCH-MAKING MATHEMATICIANS: ARCHIMEDES, NEWTON, AND EISENSTEIN""]‎

‎Berlin, G. Reimer, 1844. 4to. In contemporary half cloth. In ""Journal für die reine und angewandte Mathematik"", 27. band, Heft 1-4, 1844. Entire volume 27 offered. A small library stamp to lower part of p. 1 and a white label pasted on to upper part of spine. Light occassional brownspotting, otherwise fine and clean.‎

‎"ELFVING, GUSTAV.‎

‎Convex Sets in Statistics.‎

‎Lund, Håkan Ohlssons,1953. 8vo. In the original grey printed wrappers. Offprint from ""Comptes Rendu du Douzième Congrès des Mathématiciens Scandinaves tenu à Lund 10-15 août 1953"". A very fine clean copy, near mint. Pp. (2), 35-39.‎

‎Scare offprint of Elfving's important paper on ""Elfving sets"". Elfving are famous for having introduced optimality theory of regression theory.‎

Bookseller reference : 48791

‎"ELFVING, GUSTAV.‎

‎Optimum allocation in linear regression theory. - [BEGINNING ""METHODS OF COMPUTING OPTIMUM REGRESSION DESIGN""]‎

‎U.S.A., The Annals of Mathematical Statistics, 1952. 8vo. No wrappers (as issued). Offprint from ""The Annals of Mathematical Statistics"", Vol. 23, No. 2, June 1952. Light miscolouring to extremities, otherwise a fine and clean copy. Pp. 255-262.‎

‎Scarce offprint of Elfving's seminal paper which marks the beginning of optimality theory of regression theory. The paper also introduced concepts from convex geometry, including ""Elfving sets.""Pioneering work was done by Elfving in several papers on the methods of computing optimum regression design. The ""Optimum allocation in linear regression theory"" is without doubt Elfving's single most influential paper, inaugurating that line of research."" (Johnson, Leading Personalities in Statistical Sciences: From the Seventeenth Century)While accompanying a surveying expedition to western Greenland, extended and intense rains left Elving with three days in his tent, during which time he consider the best locations of observations to estimate parameters on linear models. Elfving's ideas appeared in his paper on the optimal design of experiments for estimating linear models. This paper also introduced concepts from convex geometry, including ""Elfving sets"" and Elfving's theorem‎

Bookseller reference : 48790

‎"ELFVING, GUSTAV.‎

‎Zur theorie der markoffschen ketten.‎

‎Helsingfors, 1937. Royal8vo. In the original printed wrappers. Offprint from ""Acta Societatis Scientiarum Fennicæ"", Nova Series A. Tom. II, N:o 8. Wrappers partly detached and has been bended vertically. Internally fine. 17 pp.‎

‎Offprint of Elfving's paper on Markoff chains. Gustav Elfving known as one of the founders of the modern theory of the optimal design of experiments.‎

Bookseller reference : 48890

‎"ERDMANN, BENNO.‎

‎Die Axiome der Geometrie. Eine philosophische Untersuchung der Riemann-Helmholtz'schen Raumtheorie.‎

‎Leipzig, Leopold Voss, 1877. Contemp. hcalf. Spine gilt and gilt lettering. Very lightly rubbed. X,174 pp. Internally fine and clean.‎

‎Scarce first edition of Erdmann's !Habilitationsschrift"", which deals with the epistemological aspects and consequences of the new non-euclidean geometry as porpoundeb by Riemann and Helmholtz.‎

Bookseller reference : 38675

‎"ERICKSON, V. B. + J. F. PELLEGRIN.‎

‎Build - A Software Construction Tool. [In: AT&T Bell LaboratoriesTechnical Journal, July-August 1984, Vol. 63 No. 6 Part 2]. - [THE UNIX-BASED BUILD TOOL]‎

‎[N.Y., AT&T Bell Laboratories, 1984]. 8vo. In the original yellow wrappers. A nice and clean copy. Pp. 1049-1059 (Entire volume: 1 leaf + pp. 1007-1212).‎

‎"EUCLID (EUKLID) OF ALEXANDRIA.‎

‎Euclidis Megarensis mathematici clarissimi Elementorum geometricorum libri XV. Cum expositione Theonis in priores XIII à Bartholomæo Zamberto Veneto (= Zamberti) latinitate donata, Campani in omnes, & Hypsiclis Alexandrini in duos postremos. His addie...‎

‎Basel, Johannem Hervagium & Bernhardum Brand, 1558. Folio. (30,5x21,5). Bound in 19th century brown hmorocco with 5 raised bands. Light wear to back and corners a bit bumped. (2),587 pp.Numerous wood-cut diagrams and initials throughout. First ab. 20 leaves with different degrees of yellowing and occasional with marginal faint dampstaining. 3 leaves with upper right corners repaired without loss of text. The ""privilege"" at verso of title partly unreadable as a piece of paper is pasted on, some of these letters are faint, just as some letters in ""Basiliae"" on title are weak. Last leaf with colophon and printers large woodcut-device on verso is mounted, but not hiding the wood-cut. The word ""Basiliae"" on last leaf recto, is weak or nearly gone. Overall a large good copy as usually without the foreword by Melanchton. A small rubber-stamp on title: ""Duplum Bibliothecæ V.E."" and in old hand: ""Bibliothecæ Conventij Romani S. Andrea de Fratrij (?)""‎

‎Scarce third printing of the so-called Zambert-Campanus Edition of the Elements, all printed by Johann Herwagen in Basel - this edition printed together with his son-in-law Bernhard Brand. The first of the Herwagen prints was the famous Editio Princeps in Greek from 1533, and in 1537 he published a Latin version, which became the first Euclid-editon to contain also Euclids smaller tracts as ""Phenomena""(Spherical geometry), ""Katroptik"" (Mirror-reflexion), ""Optik"" und ""Data""(Geometrical excersises). The 1537- edition was reprinted 1546 and in 1558 (the present).""The most famous source of Greek geometry is the monumental work of Euclid of Alexandria, called the ""Elements"" (around 300 B.C.). No other book of science had a comparable influence on the intellectual development of mankind. It was a treatise of geometry in thirteen books which included all the fundamental results of scientific geometry up to his time. Euclid did not claim for himself any particular discovery, he was merely a compiler. Yet, in view of the systematic arrangement of the subject matter and the exact logical procedure followed, we cannot doubt that he himself provided a large body of specific formulations and specific auxiliary theorems in his deductions. It is no longer possible to pass judgement on the authorship of much of this material"" his book was meant as a textbook of geometry which paid attention to the material, while questions of priority did not enter the discussion."" (Cornelius Lanzos in ""Space through the Ages"").Max Steck III:57 - Thomas-Stanford: 15 - Riccardi 1558/3 - Adams E:976.‎

Bookseller reference : 32859

‎"EUCLID (EUKLID) OF ALEXANDRIA. - FIRST DANISH EDITION OF ""EUCLID"".‎

‎Euclidis Elementa Geometriæ, Det er, Første Grund Til Geometrien, I det Danske Sprog oversat af Ernst Gotlieb Ziegenbalg.‎

‎Kjøbenhavn, Ernst Henrik Berling, 1744. 4to. Samt. hldrbd. over træ. Ryg lidt slidt Overtrækspapiret på permer med mangler.(12),20,311 pp. samt 5 foldede kobberstukne plancher, i teksten talrige geometriske figurer. De første blade og de 5 plancher med en svag vandskjold. Svag skjold på de sidste ca 20 blade. En del blade med brunplet i øvre margin.4to. Contemporary half calf over wooden boards. Spine a bit worn and lacing some of the paper over boards. Faint damp stain to first leaves, to plates, and to the last ab. 20 leaves. Some leaves with a brown spot to upper margin. (12), 20, 311 pp + 5 folded engraved plates. Numerous geometrical figures in the text.‎

‎Første udgave på dansk af Euclids ""Elementer"", omfattende Bog 1-6 og 11-12. J.F. Ramus have allerede nogle år tidligere udgivet Euclid, men disse var mindre lærebøger i uddrag og på latin. Oversættelsen indeholder en lang introduktion af Ramus ""Betænkning om Euclidis Elementer og om deres Oversættelse i det Danske Sprog.""Ziegenbalg var teologisk kandidat, men havde studeret matematik i flere år, både i Jena og i England. Han blev udnævnt til professor i matematik ved Københavns Universitet efter Ramus, og havde i nogle år forinden fungeret som dennes assistent. Hans oversættelse er dedikeret Christian den VI, og i forordet introducerer han den således ""offereres (oversættelsen) Deres Kongelige Majestæt...disse udi det Danske Sprog oversatte Elementa Geometriæ, som ere Hoved=Kilden til alle Mathematiske Videnskaber og have nu i 2000 Aar været i saa stor Estime, at alle de største og erfarne Mathematici have grundet deres Skrifter paa dem og at de til almindelig Nytte og Brug ere bekientgiorte næsten udi alle Europæiske, men ey tilforn i dette Sprog.""First edition of the first Euclid-translation into Danish, comprising Book 1-6 and 11-12. Bound in cont. hcalf. Rebacked in old style. A good copy. - Riccardi, Bibl. Euclideana, Parte 4, p. 47. - Bibl. Danica IV:96.‎

Bookseller reference : 41890

‎"EUCLID (EUKLID) OF ALEXANDRIA. - TARTAGLIA'S TRANSLATION.‎

‎Euclide Megarense Philosopho, solo Introduttore delle Scientie Mathematice. Diligentementee Rassettato, et alla integrità ridotto, per il degno professore di tal Scientie Nicolo Tartalea Brisciano (Nicolo Tartaglia). Secondo le due Tradottioni. Con un...‎

‎Venetia, Curtio Trojano, 1565. 4to. Bound in a very nice recent hcalf in old style. Raised bands and richly gilt back. 315,(1) leaves (=632 pp). Profusely illustrated with gemetrical diagramss in the text. Printers woodcut-device at end. Small part of lower right corner of title gone, no loss of text. Light browning to first and last leaf. 6 last leaves with a faint dampstain. Very light browning to outher margins. Otherwise a fine clean copy.‎

‎Scarce second edition of Tartaglia's very influential translation of all Euclid's 15 Books, as this Italian translation of Euclid was the first translation at all into the vernacular. The translation by Tartaglia was first published 1543 and was founded on the latin edition of Campanus and Zambetti.Niccolo Fontana of Brescia has a great name in the history of mathematics. A cut in the face from a French soldier caused him to stammer and as a consequence of this he was called 'Tartaglia'. He is famous for his solution of third-degree equations which occasioned a long polemic with Cardano about priority. He is also known for ""Tartaglia's Triangle"", later known as ""Pascal's Triangle"", and he is well-known for his Archimedes-edition of 1543 and 1551 with his commentaries.""The most famous source of Greek geometry is the monumental work of Euclid of Alexandria, called the ""Elements"" (around 300 B.C.). No other book of science had a comparable influence on the intellectual development of mankind. It was a treatise of geometry in thirteen books which included all the fundamental results of scientific geometry up to his time. Euclid did not claim for himself any particular discovery, he was merely a compiler. Yet, in view of the systematic arrangement of the subject matter and the exact logical procedure followed, we cannot doubt that he himself provided a large body of specific formulations and specific auxiliary theorems in his deductions. It is no longer possible to pass judgement on the authorship of much of this material"" his book was meant as a textbook of geometry which paid attention to the material, while questions of priority did not enter the discussion."" (Cornelius Lanzos in ""Space through the Ages"").Max Steck III:72 - Thomas-Stanford: 39 - Riccardi Euclideana V:1 - Adams E:993. - Brunet II:1090.‎

Bookseller reference : 34674

‎"EUCLID OF ALEXANDRIA - GESTRINIUS, MARTIN ERIK.‎

‎In geormetriam Euclidis Demonstrationum Libri Sex. In quibus Geometria planorum traditur, & brevis Notis perspicue explicatur. Impensis & sumptibus Authoris. - [FIRST SWEDISH EUCLID-EDITION.]‎

‎Uppsala, Eschillus Matthiæ, 1637. Small 4to. Cont. full vellum over wood. Spine ends worn, tears to hinges, but not broken, lower edges of boards with old repairs. Some old ink annotations on boards. Inside frontcover and on title many old owner names, small wholes cut in titel without loss of letters. First ab. 20 leaves with a faint dampstain in upper margin, inkspots on last page. Internally clean. (24),350,(2) pp., numerous geometrical diagrams in the text.‎

‎Scarce first edition of the first Swedish edition of Euclid's Elements (Book I-VI) with Gestrinius' commentaries to the axioms and porpositions and with his attempt of a proof of the ""Parallel-axiom"" (The Fifth Postulate). In the preface he discusses the use of plane-geometry in the theories of Aristoteles, Eudoxus, Ptolemy and Kepler. - Gastrinius (1594-1648) became professor of mathematics in Uppsala in 1621 after studies in Greifswald.Collijn (1600-Talet) I:310. - Riccardi p. 436 (1637,2) - Poggendorff I:889. - Not in Max Steck.‎

Bookseller reference : 34701

‎"EULER, [LEONHARD].‎

‎Recherche sur une nouvelle maniere d'elever de l'eau proposee par M. de Mour. - [EULER ON HOW TO RAISE WATER]‎

‎(Berlin, Haude et Spener, 1753). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome VII, pp. 305-330 + two engraved plates.‎

‎First printing of Euler's paper on how to raise water, which was a study written on the background of his - unsuccessful - garden-project in Frederick the Great's large complex of summer palaces, Sanssouci where Euler was asked to design the pumps to the many fountains. ""I wanted to make a fountain in my Garden"", Frederic the Great wrote to Voltaire on 25 January 1778. But the water-art project ended in a fiasco. The fountain design was supposed to be executed according to the latest knowledge in hydraulics and should even surpass Versailles with its splendor. ""Euler calculated the effort of the wheels for raising the water to a basin, from where it should fall down through canals, in order to form a fountain jet at Sans-Souci. My mill was constructed mathematically, and it could not raise one drop of water to a distance of fifty feet from the basin.""Since then the fiasco at Sanssouci stands out as an example for the gulf between theory and practice. And Leonhard Euler, the mathematical genius from Basel, became a target of mockery and malicious joy"". (Michael Eckert: Euler and the Fountains of Sanssouci).See Enetröm E202.‎

Bookseller reference : 44268

‎"EULER, [LEONHARD].‎

‎Recherches sur la veritable courbe que decrivent les corps jettes dans l'air ou dans un autre fluide quelconque.‎

‎(Berlin, Haude et Spener, 1755). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome IX, pp. 321-352.‎

‎First printing of this Euler-paper in which he examines curves of airborne bodies. Euler describes how the forces acting on a cannonball give different differential equations for the ascending branch than for descending branch. See Eneström E217.‎

Bookseller reference : 44267

‎"EULER, [LEONHARD].‎

‎Recherches sur les lunettes a trois verres qui representent les objets renverses. - [EULER ON GLASSES WITH THREE LENSES]‎

‎(Berlin, Haude et Spener, 1759). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome X, pp. 323-372.‎

‎First printing of this paper in which Euler made important research into the field of optics and how to construct glasses with three lenses. ""Euler composed his object-glasses of two bi-convex lenses of crown-glas, and a bi-concave of flint, to form a triple object-glass of six lines focal distance with a large aperture"" and it is because our microscope is achromatic that it is established on the principles of Euler."" (Brewster. The Edinburgh journal of science. P. 225).See Eneström E240.‎

Bookseller reference : 44266

‎"EULER, [LEONHARD].‎

‎Reflexions sur un probleme de geometrie traite par quelques geometres et qui es neanmoins impossible (+) Recherches physiques sur la diverse refrangibilite des rayons de lumiere. - [EULER ON LIGHT RAYS]‎

‎(Berlin, Haude et Spener, 1756). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome X, pp. 173-199" pp. 200-226.‎

‎First printing of two Euler-papers in which he occupies himself with an unsolvable geometric problem and the physics of the different refrangibilities of light rays, a field Euler made important and original contributions to. Euler's wave theory of light, published in 1746, was based on an analogy between sound and light to a more and more mathematical elaboration on that notion. His wave theory degenerated, and it was not until Fresnel introduced transverse waves and an elaborate notion of interference that the wave theory again progressed. He was the second after Christian Huygens to proposed a wave theory of light, and thereby one of the earliest to argue against Newton's particle theory of light. His 1740s papers on optics helped ensure that the wave theory of light proposed by Christian Huygens would become the dominant mode of thought until the development of the quantum theory of light.See Eneström E220, E221.‎

Bookseller reference : 44265

‎"EULER, [LEONHARD].‎

‎Theorie plus complette des machines qui sont mises en mouvement par la reaction de l'eau (+) De la variation de la latitude des etoiles fixes et de l'obliquite de l'ecliptique.‎

‎(Berlin, Haude et Spener, 1756). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome X, pp. 227-295"" pp. 296-336.‎

‎First printing of two influential and important Euler papers. In THEORIE PLUS COMPLETTE (i.e. A more complete theory of machines which are activated by their reaction to water), Euler's seminal and most in-depth paper on hydraulics regarding fluid driven turbines. Euler goes into the entire theory of his main idea of Recherches sur l'effet d'un machine hydraulique proposée par M. Segner, professeur à Goettingue (E179) in greater generality. He then proceeds to calculate the optimum proportions for his proposed turbine. His treament is so complete that an engineer today could use his calculations to design a turbine. He opens the paper with the statement that ""Having already explained in some reports the effect that the machine projected by Mr de Segner is capable of producing, I here propose to develop the same in greater detail"". In DE LA VARIATION DE LA LATITUDE he is concerned about the variation of latitude of fixed stars and the obliquity of the ecliptic).See Eneström E222, E223.‎

Bookseller reference : 44264

‎"EULER, LEONARD. - ON THE ISOCHRONE PROBLEM.‎

‎De innumerabilibus Curuis tautochronis in in Vacuo. (On the innumerable tautochrone curves in a vacuum). (+) Curva Tautochrona in Fluido resistentiam faciente secundum Quadrata cerilitatum. (Tautochrone curves in a fluid making a second resistance pr...‎

‎(Petropoli, St. Petersburg, Typis Academiae, 1735). 4to. No wrappers. In: ""Classes Prima continens Mathematica. Commentarii Academiae Scientiarum Imperialis Petropolitanae"", Tomus IV ad Annum 1729. The whole section of ""Mathematica""offered. Pp 1-118 pp. and 10 engraved plates. Euler's papers: pp. 49-67 a. 2 engraved plates. Pp. 67-89 a. 1 engraved plate. Wide-margined, clean.‎

‎"EULER, LEONHARD - DIOPTICAL THEORY.‎

‎Construction des Objectifs composés de deux différentes Sortes de verre qui ne produisent aucune Confusion, ni par leur Ouverture, ni par la Différente Réfrangibilité des Rayons, avec la Maniere la plus Avantageuse d'en faire des Lunettes. (+) Const...‎

‎(Berlin, Haude et Spener, 1768). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome XXII, Année 1766. Pp. 119-170 , pp. 171-201 and 2 folded engraved plates., pp. 202-212 and 1 folded engraved plate. With the section title-page to ""Classe Mathématique"".‎

‎First printing of three importent Euler-papers on the construction of composite lenses in order to avoid confusion. Euler presents the mathematical theory to explain the effects. The third paper describe how to analyze refraction phenomena in glasses by way of prisms. - Eneström E 359, E 360, E 361.‎

Bookseller reference : 50190