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PAPPUS (PAPPOS) of ALEXANDRIA.

Pappi Alexandrini Mathematicae Collectione. A Federico Commandino Urbinatae In Latinum Conversae, & Commentarijs Illustratae. - [THE CULMINATION OF GREEK MATHEMATICS]

Herman H. J. Lynge & Søn A/S
lyn30603
Colophon: Pisauri (Pesaro), Hieronymum Concordiam, 1588. (Having the reprinted title-page: Venetiis, Franciscum de Franciscis Senemsem, 1589). Folio. Cont. limp vellum. Repairs to upper part of back and small nicks to back repaired. Edges of covers with tiny loss of vellum. Covers slightly soiled. Calligraphed title on back. Title-page with and old, partly erased stamp. Woodcut printer's device on title. Ff (3), 334 (332) (= 664 pp). Numerous woodcut diagrams and illustrations in the text. Printed on good paper, Ff 2-3 with an old repair to inner margin (no loss). F 2 browned, but otherwise remarkably clean with only a few brownspots. A few small worm-tracts to some margins.

First edition of a work which constitutes the culmination of Greek Mathematics. This copy has the fresh title, but is the 1588-printing. - "Pappos was the greatest mathematician of the final period of ancient science, and no one emulated him in Byzantine times. He was the last mathematical giant of antiquity." (George Sarton, Ancient Science and Modern Civilization. p.82)."Pappus of Alexandria in ab. 320 composed a work with the title Collection (Synagoge) which is important for several reasons. In the first place it provides a most valuable historical record of parts of Greek Mathematics that otherwise would be unknown to us. For instance it is in Book V of the Collection that we learn of Archimedes' discovery of the thirteen semiregular polyhedra or "Archimedian solids". Then, too, the Collection includes alternative proofs and supplementary lemmas for propositions in Euclid, Archimedes, Appolonius and Ptolemy. Finally, the treatise includes new discoveries, and generalizations not found in any earlier work. The Collection, Pappus' most important treatise, contained eight Books, but the first Book and the first part of the second Book are now lost" (Boyer, A History of Mathematics p. 205). "Each book (8) is preceded by general reflexions which give to that group of problems its philosophical and historical setting. The prefaces are of deep interest to historians of mathematics and, therefore, it is a great pity that three of them are lost [...] Book VII is far the longest book of the Collection [...] [and here], we find in it the famous Pappo's problem: "given several straight lines in a plane, to find the locus point, such that when straight lines are drawn from it to the given lines at a given angle, the products of certain of the segments shall be in a given ratio to the product of the remaining ones". This problem is important in itself, but even so because it exercized Descartes' mind and caused him to invent the method of coordinates explained in his Geométrie (1637). Think of a seed lying asleep for more than thirteen centuries and then helping to produce that magnificent flowering, analytical geometry [...] The final Book VIII is mechanical and is largely derived from Heron of Alexandria. Following Heron, Pappos distinguished various parts of theoretical mechanics (geometry, arithmetic, astronomy and physics). The Book is considered the climax of Greek mechanics and helps us to realize the great variety of problems to which the Hellenistic mechanicians addressed themselves. If Book VIII is the climax of Greek mechanics, we may say as well that the whole collection is a treasury and to some extent the culmination of Greek mathematics. [...] The ideas collected or invented by Pappos did not stimulate Western mathematicians until very late, but when they finally did, they caused the birth of modern mathematics- analytical geometry, projective geometry, centrobaric method. That birth or rebirth from Pappos' ashes, occurred within four years (1637-40). This was modern geometry connected immediately with the ancient one as if nothing had happened between." (Georg Sarton op.cit.). - It is from Pappus we have the famous words of Archimedes: "Give me a place to stand, and I will move the earth" (Se PMM No 72). - "Without pretending to great originality, the whole work shows, on the part of the author, a thorough grasp of all the subjects treated, independent of judgement, mastery of technique; the style is terse and clear; in short, Pappus stands out as an accomplished and versatile mathematician, a worthy representative of the classical Greek geometry." (Heath, A History of Greek mathematics Vol. II: p.358). - Adams P 224 (The sheets of the Pisauris edition with a fresh title).
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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.
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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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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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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.
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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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