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Solution d'une question fondamentale concernant la théorie générale des courbes.
(Berlin, G. Reimer, 1834) 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd.12. - Plücker's paper pp. 105-108.
First printing of the paper containing the famous ""Plücker Equations"". ""...one of Plücker's great achievements, published in Crelle's Journal for 1834, was the discovery of four equations, bearing his name (the paper offered), that relate the class and order of a curve with the singularities of the curve."" (Boyer. History of Mathematics).
Über die allgemeinen Gesetze, nach welchen irgend zwei Flächen einen Contact der verschiedenen Ordnungen haben.
(Berlin, G. Reimer, 1829). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 4. - Plücker's paper pp. 349-370
First edition of a major paper in the arithmetization of geometry introducing the so-called triangular coordinates. ""In 1829 Plücker contributed to Crelle's Journal (the paper offered here) with a revolutionary point of view that broke completely with the old Cartesian view of coordinates as line segments. The equation of a straight line in homogenous coordinates has the form ax + by + ct=0....Plücker saw that one could modify the usual language and call (a,b,c) the homogenous coordinates of a line....Plücker had discovered the immidiate analytic counterpart of the geometric principle of duality, about which Gergonne and Poncelet had quarreled"" it now became clear that the justification that pure geometry had sought in vain was here supplied by the algebraic point of view."" (Boyer, History of Mathematics).
Ueber die Constitution der elektrischen Spectra der verschiedenen Gase und Dämpfe. (+) Nachtrag zu der Abhandlung über die Consstitution der elektrischen Spectra der verschiedenen Gase und Dämpfe. (2 papers).
Leipzig, Johann Ambrosius Barth, 1859. Without wrappers as issued in ""Annalen der Physik und Chemie. Hrsg.von Poggendorff"", Bd. 107, Viertes Stück.(= Heft No. 8 of 1859). (The entire issue offered (Heft 4 of vol. 107 with titlepage to vol. 107). Pp. 497-660. - Plücker's papers: pp. 497-539 a. 638-643. Clean and fine.
First printing of this milestone paper describing Plückers first observations on Cathode Rays, which he called ""the beautiful and mysterious green glow"", and produced by discharges in tubes exhausted by means of the Geissler pump. These importent observations lead directly to Röntgens discovery of the Röntgen Rays.""Cathode rays were first observed by Julius Plücker in 1859 (the paper offered). They are rays which are found in the neighbourhood of the point of exit of an electrical current passing through a Geissler tube. These rays stimulated intense interest and experiment. William Crookes greatly improved these discharge tubes and intensified the degree of rarification of gases within them. The tubes in this form is known as Crookes tube. Crookes declared his conciction that the cathode rays represented matter in a fourth, hitherto unobserved form....It was reserved for J.J. Thomson (in 1908) to discover the true nature of the cathode rays.""(PMM no 386).
Über ein neues Coordinatensystem. (and the continuation:) Über eine neue Art, in der analytischen Geometrie Puncte und Curven durch Gleichungen darzustellen. (2 Papers). - [FOUNDING ALGEBRAIC GEOMETRY]
Berlin, G. Reimer, 1830. 4to. Without wrappers as extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von C.L. Crelle"", Bd. 5 u. 6. With titlepage to Bd. 5. Pp. 1-36 and pp. 107-146. One engraved plate.
First printing of Plückers invention of separate homogenous coordinates. Plücker introduced trilinear coordinates, and he ""starts with a fixed triangle and takes the coordinates of any point P to be the signed perpendicular distances from P to the sides of the triangle" each distance can be multiplied by the same arbitrary constant...by using homogenous coordinates and Euler's theorem on homogenous functions.....Plücker was able to give elegant algebraic representations of geometric ideas...and his efforts to treat duality algebraically led him to a beautiful idea, line coordinates....With this notion of line coordinates Plücker was able to give an algebraic formulation and proof of the principle of duality. (Morris Kline).
Über ein neues Princip der Geometrie und den Gebrauch allgemeiner Symbole und unbestimmter Ciëfficienten
(Berlin, G. Reimer, 1830). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 5. - Plücker's paper pp. 268-286.
First appearance of a paper which relates to Plücker's ""New Geometry"".
Discussion de la forme générale des ondes lumineuses (Mémoire No. 1). (+) Note au mémoire No. 1
Berlin, G. Reimer, 1839. 4to. Without wrappers as extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von C.L. Crelle"", Bd. 19, pp. 1-44 a. pp. 91-92. Some even paperbrowning to the first quire and to the ""Note"" (different paperquality).
First appearance of Plücker's importent contribution to the improvement of Fresnel's ""Wave Surface.""
On a New Geometry of Space. Received December 22, 1864, - Read February 2, 1865.
(London, Taylor & Francis, 1865) Large 4to. Without wrappers. Extracted from ""Philosophical Transactions of the Royal Society of London."", Vol. 155 - Part II. Pp. 725-791. Fine and clean.
First appearance of this paper in which Plücker reconstructed analytical geometry by the application of a wealth of new ideas.He introduces the fundamental principle ""the geometry needs not solely be based on points as basic elements. Lines, planes, circles, spheres can all be used as the elements (""Raum-Elemente"") on which a geometry can be based. This fertile conception threw new light on both synthetic and algebraic geometry, and created new forms of duality.""(Dirk J. Struik).This paper, together with other papers expanded , in 1868-69, into his famous book, bearing the same title as the paper offered.
On the Magnetic Induction of Crystals. Received arch 20, - Read April 23, 1857.
(London, Richard Taylor and William Francis, 1859). 4to. No wrappers as extracted from ""Philosophical Transactions"" Vol. 149 - Part I. Pp.
First printing. In this paper Plücker gives experimental proof for a law of magnetizing crystals which holds for uniaxal crystals having one principal crystallographic axis.
Neue Geometrie des Raumes gegründet auf die Betrachtung der geraden Linie als Raumelement
Leipzig, B. G. Teubner, 1868. 2 tomes en un volume in-4, 378 pp., pagination continue, demi-basane aubergine, dos lisse sobrement orné (mal titré : J. Plücher - Théorie des complexes) tranches mouchetées de carmin (petits frottements, mors du plat supérieur partiellement fendu).
Edition originale. Plücker est plus connu du grand public pour ses travaux, en spectroscopie et en particulier pour avoir été le premier à observer les trois lignes du spectre de l'hydrogène. Dernier ouvrage de l'auteur. * Voir photographie(s) / See the picture(s). * 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.
System des analytischen Geometrie, auf neue Betrachtungsweisen gegründet, und insbesondere eine ausführliche Theorie der Curven dritter Ordnung enthaltend
Berlin, Duncker une Humblot, 1835. In-4 carré, XVI-292 pp., un feuillet d'errata, et VI pl., demi-veau aubergine, dos lisse orné (rousseurs, petite tache d'encre sur la page de titre).
Editition originale. Bien complet des 6 planches dépliantes. * Voir photographie(s) / See the picture(s). * 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.
