KEPLER, JOHANNES Nova Stereometria doliorum vinariorum

SCARCE FIRST EDITION of one of the most significant works in the prehistory of calculus. With the rare errata leaf present in two variant states."The task of writing a complete treatise on volumetric determination seems to have been suggested to Kepler by the prosaic problem of determining the best proportions for a wine cask. The result was the Nova stereometria, which appeared in 1615. This contains three parts, of which the first is on Archimedean stereometry, together with a supplement containing some ninety-two solids not treated by Archimedes. The second part is on the measurement of Austrian wine barrels, and the third on applications of the whole" (Boyer, The History of the Calculus).Kepler's basic method was to regard the circle as a polygon with an infinite number of sides and its area as being composed of an infinite number of infinitesimal triangles with vertex at the centre of the circle and base one of the sides of the polygon. Similarly, the volume of a sphere was made up of an infinite number of pyramids, the cone and cylinder of infinitely thin circular discs or of infinitesimal wedge-shaped segments radiating from the axis. "Kepler then extended his work to solids not considered by the ancients. The areas of the segments cut from a circle by a chord he rotated about this chord, obtaining solids which he designated characteristically as apple or citron-shaped, according as the generating segment was greater or less than a semi-circle... Kepler's Doliometha... exerted such a strong influence in the infinitesimal considerations which followed its appearance, and which culminated a half century later in the work of Newton, that it has been called [by Moritz Cantor] the source of inspiration for all later cubatures" (Boyer).Kepler's book on integration methods also contains the germ of the differential calculus. "The subject of the measurement of wine casks had led Kepler to the problem of determining the best proportions for these. This brought him to the consideration of a number of problems on maxima and minima ... he showed, among other things, that of all right parallelepipeds inscribed in a sphere and having square bases, the cube is the largest, and that of all right circular cylinders having the same diagonal, that one is greatest which has the diameter and altitude in the ratio of [square root of 2]:1. These results were obtained by making up tables in which were listed the volumes for given sets of values of the dimension ... He remarked that as the maximum volume was approached, the change in volume for a given change in the dimensions became smaller" (Boyer). Kepler had noted, in modern terms, that when a maximum occurs the rate of change becomes zero, a basic principle of the differential calculus that is usually credited to Fermat later in the century.Nova Stereometria doliorum vinariorum, in primis Austriaci, figurae omnium aptissimae; et usus in eo virgae cubicae compendiosossimus & plane singularis. Accessit Stereometriae Archimedae Supplememtum. Folio, contemporary calf sympathetically rebacked. With two errata leaves, woodcut on H3v shaved at foot as usual, ocassional foxing, small closed tears to final leaf; a very good crisp copy. RARE.
$45,500

BACON, FRANCIS Instauratio magna [Novum organum]

FIRST EDITION of Bacon’s argument for and development of the scientific method. PMM 119.Bacon “insisted on experiment in determining truth in nature and the above book is a proposed method for the assessment of all knowledge. The accumulation of observation and fact must be the basis of a new philosophy and not the authority of Aristotle or anyone else... Bacon’s inspiration led directly to the formation of the Royal Society. The famous engraved title-page showing a ship boldly sailing beyond the Pillars of Hercules (the limits of the old world) is interpreted to represent the bold spirit of adventure and research of the new age of science” (Dibner 80). “Bacon conceived a massive plan for the reorganization of scientific method an gave purposeful thought to the relation of science to public and social life. His pronouncement ‘I have taken all knowledge to be my province’ it he motto of his work... The frontispiece to his magnum opus shows a ship in full sail passing through the Pillars of Hercules from the old to the new world. It symbolizes the vision of its author whose ambitious proposal was: ‘a total reconstruction of sciences, arts and all human knowledge... to extend the power and dominion of the human race... over the universe’” (PMM 119). Second issue (as usual) with “Billium” only (omitting Bill Norton) in colophon and added errata. With engraved title by Simon van de Passe. Folio, contemporary full calf rebacked with original spine laid-down; custom box. Some soiling to binding and repairs to corners. Title page with early signature and notation in top margin, a few scattered rust spots, tiny tear to corner of B2. Overall, text extremely clean and crisp with wide margins.
$40,500

KEROUAC, JACK On the Road

FIRST EDITION of the defining work of the Beat generation. ADVANCE COPY, with extremely rare additional printed white dust jacket announcing the publication over regular dust jacket: "This is a copy of the first edition of ON THE ROAD by Jack Kerouac. It will be published in September 1957 by The Viking Press and is certain to cause violently conflicting reactions among readers and critics. We believe that readers will find truth in the book; to some this truth may be beautiful, to others it may be ugly, but no one can fail to be impressed by what this books says and the way it says it." Octavo, original cloth, original dust jacket together with review copy white dust jacket; custom cloth box. Book fine, extremely vibrant original dust jacket with light edgewear including closed tear at top right corner of front panel. Exceedingly rare advance jacket with toning to spine, some soiling, and matching closed tear at top right corner.
$35,000

GIBBON, EDWARD The History of the Decline and Fall of the Roman Empire

FIRST EDITIONS. "To this task Gibbon brought a width of vision and a critical mastery of the available sources which have not been equalled to this day; and the result was clothed in an inimitable prose" (PMM, 222). Six volumes. Quarto. Contemporary tan calf rebacked with old red and green lettering-pieces laid down, gilt in compartments. Engraved portrait frontispiece in Vol. I, 2 folding maps in Vol. II, 1 folding map in Vol. III, without half-titles in Vols. II and III, others present. Frontispiece slightly foxed as usual, some offsetting, a few gatherings slightly foxed, a very good set. With portrait frontispiece of Gibbon (in vol. I), 1 folding map of Europe adjacent to Constantinople (in vol. II) 1 folding map of the Eastern Roman Empire and 1 folding map of the Western Roman Empire (in vol. III). The portrait of Gibbon "engraved by Joseph Hall from an original picture painted by Sir Joshua Reynolds" published by Strahan and Cadell in 1780 and issued with the second volume, has been moved by the binder to the appropriate place, at the beginning of vol. I. That volume is in the second of two variant states, without the cancels X4 and a4.
$27,000

KOELHOFF, JOHANN (THE YOUNGER) [The Cologne Chronicle] Die Cronica van der hilliger Stat van Coellen

FIRST EDITION. The Cologne Chronicle is famous for a lengthy passage, on leaf 311 (verso), that provides the first printed account of the development of printing. "There are few ancient books which have been so frequently quoted, yet so rarely seen, as the present Chronicle. The possession of it is, indeed, essential to a Library like the one under description; since there is an important passage in it, relating to the invention of the Art of Printing with Metal Types, which merits very particular attention; and which has been referred to, or quoted, by bibliographers for nearly the two last centuries...  The rarity of this Chronicle is sufficiently attested by bibliographers, even without noticing that Hartz and Buder... who wrote expressly upon German affairs, had no knowledge whatever of it; and Naudaus doubted its existence. I am disposed to think there are not three copies of it in this country..."–Dibdin Folio. Contemporary tooled half-leather over oak boards. 354 (of 368) leaves. This copy lacking first 12 leaves, containing the first title and the register (index). Second title toned and laid down. Some toning and staining. Woodcut illustrations throughout. A sound copy. RARE.
$25,000

OERSTED, HANS CHRISTIAN Experimenta circa effectum conflictus electrici in acum magneticam

FIRST PUBLISHED EDITION of one of the rarest and most important papers of modern science: Oersted's discovery of the connection between electricity and magnetism. Preceded only by the legendarily rare privately-printed pamphlet (of which only a few copies are known to exist, only one in private hands), the first journal printing is exceedingly scarce.  Text in the original Latin."The 'Experimenta...' opened a new epoch in the history of physics. From it followed the creation of electrodynamics by Ampere and Faraday's 'Experimental Researches in Electricity" (DSB)."It was after lecturing to students in his own rooms in the Noerragade, Copenhagen, in 1819 or 1820 that [Oersted] invited a few of them to stay on to witness an experiment- the possible deflection of a compass -needle by an adjacent electric current. The experiment was successful; but only just; and Oersted repeated it many times before venturing on 21 July to proclaim the identity of magnetism and electricity in this four-page paper entitled 'Experiments relative to"The 'Experimenta...' opened a new epoch in the history of physics. From it followed the creation of electrodynamics by Ampere and Faraday's 'Experimental Researches in Electricity" (DSB). the Effect of the Contiguity of Electricity to a Magnetic Needle'."The results were as important as they were widespread. Oersted's paper was within the year reprinted in England, France, Germany, Italy and Denmark. In 1823 Ronalds and in 1833 Gauss and Weber constructed the first practical electric telegraphs. Faraday's momentous experiments with the sequels by Clerk Maxwell, Hertz and others bore further witness to its significance" (Printing and the Mind of Man, 282).Printed in the July, 1820 issue of Schweigger's Journal für Chemie und Physik. Less than a year later, "in 1821, volume 31 of the prestigious Journal für Chemie und Physik opened with an editorial announcing a change in format 'in part because a new epoch in chemistry and physics appears to have begun with Ørsted's important discoveries on the connection between magnetism and electricity.' A contributor wrote: 'Orsted's experiments regarding magnetism are the most interesting ones performed in more than a thousand years'" (Physics in Denmark, nobelprize.org).WITH: Neuere electro-magnetische Versuche, Oersted's succeeding paper on the interactions between an electric current and a magnetic field. In: Journal für Chemie und Physik. Hrsg. v. Schweigger u. Meinecke, Vol. 29, pp. 275-281 (Oersted in July issue);  Neuere electro-magnetische Versuche, pp. 364-369. Nuremberg: Schrag, 1820. The whole volume offered. Octavo, contemporary three-quarter green morocco, marbled boards. Some wear to edges of binding, text clean.  Provenance: with library and de-accession stamps on series title from the prestigious Gmelin Institute (after 1996, part of the Max Planck Institute). SCARCE.
$23,500

LEIBNIZ, GOTTFRIED WILHELM Nova Methodus pro maximis et minimis. IN: Acta Eruditorum.

FIRST EDITION of the first announcement of differential calculus. "The controversy with Newton on priority of invention of the calculus does not detract from the superiority of Leibniz' method of notation, one retained in modern use. He applied his new method to the solution of the cubic parabola and the inverse methods of tangents and many problems left unsolved by Descartes. Fifteen years after Newton's first work in fluxions and nine after his own independent discovery, Leibniz published [Nova Methodus], his first announcement of the differential calculus" (Dibner 109). "Leibniz was an almost universal genius whose place in the history of mathematics depends on his being an independent inventor of the infinitesimal calculus and on his contributions to combinatorial analysis which foreshadowed the development of modern mathematical analysis... The Acta Eruditorum was established in imitation of the French Journal des Scavans in Berlin in 1682 and Leibniz was a frequent contributor. Another German mathematician (E.W. Tschirnhausen) having published in it his paper on quadratures, based on researches that Liebniz had communicated to him, Leibniz at last decided in 1684 to present to the world the more abstruse parts of his own work on the calculus. His epoch-making papers give rules of calculation without proof for rates of variation of functions and for drawing tangents to curves... "The infinitesimal calculus originated in the 17th century with the researches of Kepler, Cavalieri, Torrecelli, Fermat and Barrow, but the two independant inventors of the subject, as we understand it today, were Newton and Leibniz... Although both Newton and Leibniz developed similar ideas, Leibniz devised a superior symbolism and his notation is now an essential feature in all presentation of the sibject.... With the calculus a new era began in mathematics, and the development of mathematical physics since the 17th century would not have been possible without the aid of this powerful technique" (PMM 160).IN: Acta Eruditorum, 1684-1685, pp. 467-73. The full volume offered, with volume title, index, and addenda. Thick quarto, contemporary half-calf with elaborately gilt-decorated spine; edges dyed red. Corners on binding bumped and worn. Text generally very clean with only ocassional light browning.
$21,500

Kerouac, Jack On the Road

FIRST EDITION, of the defining work of Beat literature. Scarce review copy, with stiff review card laid-in.“Kerouac’s literary art bore no resemblance to the undisciplined ‘beatnik’ writing of the late 1950s. His extraordinary attention to detail, astonishing memory, and encyclopedic grasp of European and American literature, popular culture, and world religions enabled him to create densely textured narratives that, when read aloud as they were meant to be, achieved an incantatory dimension rarely experienced in modern literature” (American National Biography). On the Road was Kerouac’s first work—and in fact the first work in American literature—that exemplified this “literary art”.While most critics dismissed the novel as “self-indulgent, irresponsible, or dangerous”, “it created an instant literary sensation” (ibid.).  At the time of its publication, it was one of the few books that perfectly captured the zeitgeist of the post-war years and echoed it back to the rest of the country, amplified and embellished, to create something eternally contemporary. “Now more than ever, it seems, reading Paradise’s tale brings out the questing young wanderer in many a reader, no matter one’s age, gender, nationality, or predilection for all things Beat” (Holiday).Octavo, original cloth, original dust jacket; custom half-morocco box. With advance review slip laid-in. Book fine, dust jacket in outstanding condition with a few flecks of rubbing; also a small patch of dampstaining visible on verso only. A superb copy with the extremely rare review card.
$20,000

BERNOULLI, JAKOB Ars Conjectandi

FIRST EDITION of Bernoulli's foundational work on probablility theory.Jakob Bernoulli's "great treatise (conjectandi means literally 'casting, sc. dice) was published posthumously. It was the first systematic attempt to place the theory of probability on a firm basis and is still the foundation of much modern practice in all fields where propability is concerned - insurance, statistics and mathematical heredity tables" (PMM 179)."Jakob Bernoulli’s pioneering work Ars Conjectandi (published posthumously, 1713; “The Art of Conjecturing”) contained many of his finest concepts: his theory of permutations and combinations; the so-called Bernoulli numbers, by which he derived the exponential series; his treatment of mathematical and moral predictability; and the subject of probability—containing what is now called the Bernoulli law of large numbers, basic to all modern sampling theory" (Britannica).Small quarto, contemporary full calf rebacked with original spine laid down; elaborately gilt-decorated spine; marbled endpapers, edges dyed red. Bookplate of Ch. Roulleau de la Roussiere on front free endpaper. Neat small contemporary ownership inscription on title. Light occasional foxing generally to margins, foxing heavier on first few and last few leaves. A very good copy in handsome contemporary binding. 
$19,000

BERNOULLI, DANIEL Hydrodynamica, sive de viribus et moribus fluidorum

FIRST EDITION of Bernoulli's masterpiece, the foundational work for hydrodynamics (a term Bernoulli invented).Bernoulli's "reputation was established in 1738 with Hydrodynamica, in which he considered the properties of basic importance in fluid flow, particularly pressure, density, and velocity, and set forth their fundamental relationship. He put forward what is called Bernoulli’s principle, which states that the pressure in a fluid decreases as its velocity increases. He also established the basis for the kinetic theory of gases and heat by demonstrating that the impact of molecules on a surface would explain pressure and that, assuming the constant, random motion of molecules, pressure and motion increase with temperature" (Britannica)."Besides introducing the first hydraulic theory of fluid flow, this book is the most remarkable general work in theoretical and applied mechanics written in the pre-Langrangean period of the 18th century, based on a deep physical understanding of mechanical phenomena and presenting many new ideas for the following scientific progress" (Mikhailov, in Landmark Writings in Western Mathematics, 1640-1940).With 12 folding engraved plates and 86 illustrations. Quarto, contemporary full calf rebacked with the original spine laid-down.
$17,000

[CLEMENS, SAMUEL]. TWAIN, MARK Adventures of Huckleberry Finn (Tom Sawyer's Comrade)

FIRST EDITION, A FINE COPY, of Twain's masterpiece; one of the cornerstones of American Literature. With all the accepted first state points for cloth copies. Frontispiece and 173 text illustrations by E. W. Kemble, photogravure plate of a portrait bust by Karl Gerhardt (first state). With the following state points: page 13 incorrectly lists "Him and another man" on p.88; p.57, 11th line from the bottom reads "with the was"; final "5" missing on p. 155; p.283 a cancel; frontispiece with cloth visible and Heliotype imprint; copyright page dated 1884. BAL 3415. Octavo, original green cloth gilt; custom slipcase and chemise. Front hinge tender, a few small spots of wear to extremities. Gilt bright, cloth clean. An excellent copy.
$17,000

Lewis, C.S. The Lion, the Witch and the Wardrobe

FIRST EDITION in ORIGINAL DUST JACKET of the first book of Lewis's celebrated Narnia Chronicles. With colored frontispiece and illustrations throughout. London: Geoffrey Bles, 1950. Octavo, original cloth, original dust jacket. Book with fading to spine and edges, rare dust jacket in outstanding condition, extremely clean and bright with only usual toning to spine illustration, small chip at top of spine, and internal tape reinforcement to spine ends. One of the nicest copies we’ve seen, particularly rare without any color restoration.
$10,000

[PTOLEMY]. PTOLEMAEUS, CLAUDIUS Almagestum seu magnae constructionis mathematicae opus [Almagest]

FIRST EDITION of the first Latin translation from the original Greek text. The Almagest, written in about 150 AD, "served as the basic guide for Islamic and European astronomers until about the beginning of the 17th century. Its original name was Mathematike Syntaxis (“The Mathematical Arrangement”); Almagest arose as an Arabic corruption of the Greek word for greatest (megiste). It was translated into Arabic about 827 and then from Arabic to Latin in the last half of the 12th century. Subsequently, the Greek text circulated widely in Europe, although the Latin translations from Arabic continued to be more influential."The Almagest is divided into 13 books. Book 1 gives arguments for a geocentric, spherical cosmos and introduces the necessary trigonometry, along with a trigonometry table, that allowed Ptolemy in subsequent books to explain and predict the motions of the Sun, Moon, planets, and stars. Book 2 uses spherical trigonometry to explain cartography and astronomical phenomena (such as the length of the longest day) characteristic of various localities. Book 3 deals with the motion of the Sun and how to predict its position in the zodiac at any given time, and Books 4 and 5 treat the more difficult problem of the Moon’s motion. Book 5 also describes the construction of instruments to aid in these investigations. The theory developed to this point is applied to solar and lunar eclipses in Book 6."Books 7 and 8 mainly concern the fixed stars, giving ecliptic coordinates and magnitudes for 1,022 stars. This star catalog relies heavily on that of Hipparchus (129 bc), and in the majority of cases Ptolemy simply converted Hipparchus’s description of the location of each star to ecliptic coordinates and then shifted these values by a constant to account for precession over the intervening centuries. These two books also discuss the construction of a star globe that adjusts for precession. The remaining five books, the most original, set forth in detail geometric models for the motion of the five planets visible to the naked eye, together with tables for predicting their positions at any given time."Commissioned by Pope Nicholas V (1446-1455), translated from Greek into Latin by Georgius Trapezuntius (1396-1472), edited by Luca Gaurico (1476-1558). An earlier Latin version had appeared in 1515, but was translated from the Arabic. Norman 1760; See Stillwell 97; Wellcome 5281.Venice: Lucantonio Giunta, 1528. Tall folio (313 x 218 mm), 18th-century full vellum with ink notation on spine. Collation: A6 a-s8 (s8 blank); 149 leaves (of 150, without a blank). Title printed in red and black. Printed in Roman, Gothic and Greek types with woodcut mathematical diagrams in margins throughout. Occasional light staining, mostly to margins; small hole in q8 (affecting border of table, a likely paper flaw); repairs to hinges. A beautiful wide-margined copy.
$15,500

HUGNET, GEORGES La Septieme face du de

FIRST EDITION. “In Hugnet’s photocollages, and notably in his book La Septième Face du dé, composed of twenty poèmes-découpages, truncated limbs proliferate – female legs detached, crossed, spread-eagled, legs juxtaposed with large breasts or seashells, or multiple legs forming a rosace shape… The mechanism of duplication (or multiplication), characteristic of Hugnet’s collages, does in fact transform the body into fetishistic fragments, which are explicitly encoded as simulacra in the schematic outline which reduces the body to a flat disembodied sign of femininity” –Elza Adamowicz, Surrealist Collage in Text and Image: Dissecting the Exquisite CorpseFolio. 20 black and white photo-collages, some with colour, printed on white paper. Original pale-green card covers, designed by Marcel Duchamp, sewn in Japanese style with black thread. Near-fine, slightest rubbing at extremeties. Custom box. 
$15,000