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BILLY, P. IACOBO de. [JACQUES de BILLY].

Diophanti Redividi, pars prior + posterior. In qua, non casu, ut putatum est, sed certissima methodo, &analysi subtiliore, innumera enodantur Problemata, quae (aliud quàm) Triangulum Rectangulum spectant. - [FOUNDATIONAL WORK IN THE EARLY DEVELOPMENT OF NUMBER THEORY]

Herman H. J. Lynge & Søn A/S
lyn42454
Lugduni [Lyon], Apud Ioannem Thioly, 1670. 8vo. Contemporary half calf with simple gilding to spine. Gilt title-label to spine partly missing. Four tiny worm-holes to upper front hinge, just touching front free end-papers and nothing else. Minor edge-wear, but a nice, clean, and tight binding. Ex-libris stamps to title-page (one being R.D.-E. Gelin's, the other unlegible but probably a theological library). Mostly very faint marginal dampstaining to lower margin thorughout, not touching text. Neat old owner's name to inside of front board (Soldner). Without the two blank leaves between the end of the dedication and the beginning of the text (there is clearly no leaf with any text lacking; there is either a pagination-error, or there has been one or two blank leaves between the end of the dedication and the beginning of the work. In the other copies that we have been able to find collations of, there has been no leaf a4 nor A1 either - there is no doubt that the text is complete), and without the blank leaf after the end of Part One, but with two blanks at the end of Part Two. (8) pp., pp. 3-302; 140 pp. + two blank leaves.

Etremely scarce first edition of Jacques de Billy's mathematical magnum opus, known primarily as "Diophantus Redivivus" (i.e. "Diophantus Restored"), in which he gives some of the most important solutions to Diophantine problems, of which he was an expert. The work is highly important within the field of number theory and counts as one of the greatest testimonies to the early development of this branch of mathematics. The copy has belonged to the famous mathematician Johann Georg von Soldner (of the Soldner coordinate system). It was partly due to the rediscovery of Diophantus in the 16th century that Fermat reached his famous "last theorem" in the middle of the 17th century, when reading Diphantus' "Arithmetica" and engaging himself with the problems presented here. Jacques de Billy (1602-1679), a French Jesuit, who taught mathematics and theology and received the first professorship of mathematics at the Collège de Dijon, was highly interested in the problems that Diophantus had presented in his famous work, and some time before 1659, an active correspondence began between himself and Fermat, which led to, among other things, the his important "Diophantus Redivivus". The work includes many of Fermat's discoveries within the field as well as Billy's own take on them.Before a professorship of mathematics had been created at the Collège de Dijon, the mathematical enthusiast Jacques de Billy was master of studies and professor of theology. His love for mathematics meant, however, that he taught the students privately, and one of the most eager students that he thus privately taught was Jacques Ozanan, in whom Billy instilled a profound love for calculus.The only auction-records that we have been able to locate of the present work are that of Macclesfield (2004) and that of Honeyman (1978), both of which are without leaves between a3 and A2, thus lacking these two blanks (if they have ever been there). The Macclesfield-copy has the blank leaf after Part One and the two final blanks at the end of Part Two, but not the other (possible) blanks. The Honeyman-copy lacks all blank leaves, but only these, it seems.Brunet I: 946, stating "Recherché et rare" (collation: 302 et 140 pp.). Not in Poggendorf, not in Graesse.The previous owner Johann Georg von Soldner (1776-1833) was a famous German physicist, mathematician and astronomer, early on renowned for his great talent for mathematics (though almost completely self-taught). The Soldner coordinate system, which was in use until the middle of the 20th century in Germany, was named after him, as was the Ramaunajan-Soldner constant, but today he is probably primarily remembered for the final conclusion of light being diverted by heavenly bodies. It was Soldner that Einstein was accused of plagiarizing, when he calculated and published a value for the amount of gravitational light-bending in light skimming the Sun in 1911."Soldner was simple and reserved in manner, and he valued ral scholarship for its own sake. His painstaiking observational work on the detection of motion among fixed stars could be of value only to future generations of astronomers and illustrates the unselfish spirit of his work. His writings are clear and concise, and he avoided repetionon of what was already common knowledge." (D.S.B. XII:518).
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BERGIUS, PETER JONAS
Herman H. J. Lynge & Søn A/S
lyn62692
(Stockholm, 1777). 8vo. As extracted from "Kungl. Svenska vetenskapsakademiens handlingar", uncut unopened. Fine and clean. Pp. 304-309.
Medicinische und philosophische Schrifften von…
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ALBERTI, MICHAEL.
Herman H. J. Lynge & Søn A/S
lyn62695
Halle im Magdeburgischen, Hendel, 1721. 8vo. In contemporary full calf with four raise bands and richly gilt spine. Traces from old paper-label to upper part of spine. Leather on spine cracked, spine-ends slightly chipped. Internally nice and clean. (14), 620, (28) pp. First collected edition of Alberti’s essays. Alberti (1682–1757), professor of medicine and philosophy at Halle and later rector of the university, was a leading disciple of Georg Ernst Stahl who considered the soul as having control on the body. Therapies involved dealing with the internal senses and feelings.
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O Capital. (i.e. Portuguese:
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MARX, CARLOS [KARL] (+) GABRIELLE DEVILLE (+) [Translator:] ALBANO DE MORAES.
Herman H. J. Lynge & Søn A/S
lyn62679
Lisboa, De Francisco Luiz Goncalves, 1912. 8vo. In the original red printed cloth-binding with black and white lettering. Spine with loss of the white lettering. Paper-label pasted on to lower inner margin of front board. Very light wear to extremities, Internally very fine and clean. 240 pp. The exceedingly scarce first Portuguese edition of the most important abridged version of Marx's Capital ever to have appeared, published fifty-six years before the first full Portuguese (but published in Brazil) translation and whole sixy-two years before the first full translation published in Portugal. Curiously, two translations of the present work were made 1912 but the present translation seems to have priority (see Bastien, "Readings and Translations of Karl Marx in Portugal"). After the 1933 rise of Salazar's dictatorial Estado Novo regime, suppression of the relatively newly founded Communist party grew. Members were arrested, tortured, and executed and many were sent to the Tarrafal concentration camp in the Cape Verde Islands. Communist literature suffered an equally repressive fate, hence the rarity of the present work. Marxism and especially Marxist writing caught on comparatively late in Portugal: "As for the Socialist Party - supposed to be the main expression of Marxism -, it revealed itself unable to stimulate effective theoretical and doctrinal efforts. Its existence was an example of ambiguity and inconsequence. Its political programme went on mixing Marxian elements, associationist tradition and positivist thinking. Its strategy balanced continuously between an alliance with republican politicians and the maintenance of political autonomy. Its tatics balanced between electoral abstencionism and an involvement in election processes, that never led it to a relevant position in parliament. Even its international relations showed a lasting ambiguity: it had been created according to the instructions of the Marxist majority at the Hague Congress, when most of its members tended to support political abstencionism. When the formation of the Second lnternacional was taking place in Paris in 1889 Portuguese socialists tried to join the Marxist congress, after being present at the possibilist congress. In 1920 they decided to join the Third lnternacional (what was not accomplished), at the same time that an internal reformist turn was taking place." (Bastien, "Readings and Translations of Karl Marx in Portugal"). "The epitome, here translated, was published in Paris, in 1883, by Gabriel Deville, possibly the most brilliant writer among the French Marxians. It is the most successful attempt yet made to popularize Marx's scientific economics. It is by no means free from difficulties, for the subject is essentially a complex and difficult subject, but there are no difficulties that reasonable attention and patience will not enable the average reader to overcome. There is no attempt at originality. The very words in most cases are Marx's own words, and Capital is followed so closely that the first twenty-five chapters correspond in subject and treatment with the first twenty-five chapters of Capital. Chapter XXVI corresponds in the main with Chapter XXVI of Capital, but also contains portions of chapter XXX. The last three chapters-XXVII, XXVIII, and XXIX-correspond to the last three chapters-XXXI, XXXII, and XXXIII-of Capital." (ROBERT RIVES LA MONTE, Intruductory Note to the 1899 English translation). Capital de Marx also had a Portuguese edition at this time, or better, two different editions, both in 1912, but only in translation of the survey of Book I published in France by Gabriel Deville in 1883 (Marx, 1912a and Marx, 1912b). This version omitted material dealt with in at least four chapters of the original text and was not particularly appreciated by Engels. It was a simplified text, aimed at supporting the training of socialist militants and that made it possible for them to have access, indirect, to the work of Marx. The other summaries and anthologies of Capital, which, with a purpose similar to that of Deville, circulated in Europe during this period or ignored in Portugal, as was the case with Carlo Cafiero, or were only occasionally mentioned, as was the case with Paul Lafargue and Karl Kautsky, in its French versions. OCLC list two copies, both in the US.
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His Pokhodzhennia vydiv cherez pryrodnyi dobir,…
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DARWIN, CHARLES.
Herman H. J. Lynge & Søn A/S
lyn62681
(Kharkiv), Derzhavne medychne vyd-vo (State Medical Publishing House), 1936. 8vo. In publisher's original grey cloth binding with black lettering to spine with Darwin's portrait embossed on front board. Wear to extremities, corner bumped and light spoling to back board. Inner hinges split and first 3 leaves partly detached. Last 20 ff. slighly creased due to dampstain, otherwise internally a nice and clean copy. 674 pp. + frontispiece, portrait of Darwin and 1 plate with genealogical tree. The exceedingly rare first Ukranian translation of Darwin's landmark 'Origin of Species'. OCLC only list two copies (Library of Congress and The Huntington Library, USA) Freeman F797.
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Om Krigen med England. Med Tanker om samme…
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BOYE, JOHANNES.
Herman H. J. Lynge & Søn A/S
lyn62687
Fridericia, S. Elmenhoff, 1809. 8vo. In nice recent marbled paper covered boards with leather title-label with gilt lettering to spine. Ex-libris (Bent W. Dahlstrøm) to verso of front board. A nice and clean copy. 40 pp. Biblioteca Danica III, 572.
Regras methódicas para se aprender a escreuer o…
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VENTURA DA SILVA, JOAQUIM JOSE.
Herman H. J. Lynge & Søn A/S
lyn62100
Lisboa, Officina de Simão Thaddeo Ferreira, 1803. Folio-oblong (365 x 255 mm). In contemporary half calf. Wear to extremies, upper part of spine with loss of leather. Ex-libris pasted on to pasted down front end-paper. With, primarily marginal, brownspotting throughout. Dampstain to inner margin and upper outer margin of last 10 ff. 32 ff. Rare first edition of the most celebrated Portuguese treatise on calligraphy. Joaquim José Ventura da Silva (1777–1849), regarded as one of Portugal’s finest calligraphers and teachers of writing, composed this methodological guide to handwriting in which he combines a historical survey of scripts used in Portugal with practical instruction for teaching and learning penmanship.Ventura da Silva is reffered to by Innocencio (Diccionario Bibliographico) as "one of the best Portuguese Calligraphers". A second edition was published in 1819, a third in 1841, and a facsimile was published in Porto in 1899.
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