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Verlag: Forgotten Books, 2018
ISBN 10: 024393677XISBN 13: 9780243936779
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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Paperback. Zustand: Brand New. 444 pages. French language. 9.02x5.98x0.90 inches. This item is printed on demand.
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Verlag: Forgotten Books, 2018
ISBN 10: 0259238910ISBN 13: 9780259238911
Anbieter: Forgotten Books, London, Vereinigtes Königreich
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Paperback. Zustand: New. Print on Demand. Excerpt from Examen du Livre des Recreations Mathematiques, Et de Ses Problemes en Geometrie, Mechanique, Optique Et Catoptrique. About the Publisher, Forgotten Books publishes hundreds of thousands of rare and classic books. This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value. The digital edition of all books may be viewed on our website before purchase. print-on-demand item.
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Verlag: Forgotten Books, 2018
ISBN 10: 0666940509ISBN 13: 9780666940506
Anbieter: PBShop.store US, Wood Dale, IL, USA
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HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.
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Verlag: Roma, 1881, 1881
Anbieter: Libreria Gullà, Roma, ROMA, Italien
In-4° pp. da 271 a 350, bross. edit. intonso.
Erscheinungsdatum: 2023
Anbieter: True World of Books, Delhi, Indien
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LeatherBound. Zustand: New. LeatherBound edition. Condition: New. Reprinted from edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 319.
LeatherBound. Zustand: New. LeatherBound edition. Condition: New. Reprinted from 1641 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 320 Language: Latin.
Erscheinungsdatum: 2023
Anbieter: True World of Books, Delhi, Indien
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LeatherBound. Zustand: New. LeatherBound edition. Condition: New. Reprinted from 1631 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 342 Language: Latin.
Erscheinungsdatum: 2023
Anbieter: True World of Books, Delhi, Indien
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LeatherBound. Zustand: New. LeatherBound edition. Condition: New. Reprinted from edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 363.
Erscheinungsdatum: 2023
Anbieter: True World of Books, Delhi, Indien
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LeatherBound. Zustand: New. LeatherBound edition. Condition: New. Reprinted from edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 442 Language: French.
Erscheinungsdatum: 2022
Anbieter: S N Books World, Delhi, Indien
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Leatherbound. Zustand: NEW. Leatherbound edition. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Reprinted from 1643 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 456 Language: French Pages: 456.
Erscheinungsdatum: 2023
Anbieter: True World of Books, Delhi, Indien
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LeatherBound. Zustand: New. LeatherBound edition. Condition: New. Reprinted from 1639 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 458 Jean Leurechon , Claude Mydorge , Clément Cyrianique de Mangin.
Erscheinungsdatum: 2023
Anbieter: True World of Books, Delhi, Indien
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LeatherBound. Zustand: New. LeatherBound edition. Condition: New. Reprinted from edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 461.
Erscheinungsdatum: 2023
Anbieter: True World of Books, Delhi, Indien
Buch Print-on-Demand
LeatherBound. Zustand: New. LeatherBound edition. Condition: New. Reprinted from 1639 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 465 Language: French.
Verlag: Forgotten Books, 2019
ISBN 10: 036520370XISBN 13: 9780365203704
Anbieter: PBShop.store US, Wood Dale, IL, USA
Buch
HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.
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Mehr entdecken Hardcover
Verlag: WENTWORTH PR, 2018
ISBN 10: 0270996885ISBN 13: 9780270996883
Anbieter: moluna, Greven, Deutschland
Buch
Gebunden. Zustand: New.
Anbieter: L'Ancienne Librairie, Paris, Frankreich
Erstausgabe
Paris, Anthoine Robinot, 1630. 3 parties en 1 vol. petit in-8, [16]-280 pp. + 106-[12] pp. [suivi de:] Paris, Rolet Boutonné, 1630. In-8, 39 pp., parchemin souple de l'époque, titre manuscrit au dos (reliure défraîchie, manques, quelques taches, deux coutures de mors cassées Édition originale de premier ouvrage, rédigé en réponse au livre du père jésuite Jean Leurechon La Récréation mathématique publié en 1624 dont elle reprend les problèmes pour les commenter. Elle est orné de vignettes gravées sur bois dans le texte, de bandeaux et lettrines en noir. La première et la seconde parties de l'Examen du Livres des récréations mathématiques comportent leur propre page de titre. La première partie aborde des problèmes et expériences plutôt ludiques. La seconde s'intéresse à des problèmes plus concrets comme trouver les années bissextiles ou faire une horloge avec un seule roue. Sa troisième partie, qui ne comporte qu'un faux-titre, est consacrée aux feux d'artifices. Sur le titre du second ouvrage, les Nottes sur les Récréations mathématiques, l'auteur est désigné par les initiales "D.H.P.E.M." qui signifient 'Denis Herion professeur Es Mathématique". Peu courant. De Backer, IV, 1757.; Barbier, III, 130. Voir photographie(s) / See picture(s).
et de ses problèmes en Geometrie, Mechanique, Optique, & Catoptrique. Où sont aussi discutees et restablies plusieurs experiences Physiques y proposees. Rouen, Charles Osmont, 1639, 3 parties en 1 vol. in-12, vélin ivoire souple, dos lisse, titre manuscrit au dos [Rel. de l'époque], exemplaire fatigué, pet. manques aux premiers ff. avec atteinte au texte, travail de ver marginal en milieu de vol., pet. déchirure p. 111, mouill. marg. en fin de vol. 1) 8 ff.n.ch et 280 pp. - 2) 106 pp., 4 ff.n.ch. (table) et 1 f.bl. - 3) 39 pp. DSB IX 598-599. VIII 271-272. Troisième édition, ornée de près de 80 vignettes dans le texte de ce commentaire par Claude Mydorge de la Récréation mathématique de Jean Lerechon, jésuite, publiée en 1624 à Pont-à-Mousson sous le pseudonyme H. Van Etten. La seconde partie, qui compte un titre séparé, contient des problèmes "plaisants et facetieux" en fait d'arithmétique, géométrie, astrologie, perpective, etc. Elle inclut une "troisième partie" qui est en fait un important chapitre sur les feux d'artifice orné de 12 gravures sur bois dans le texte. La dernière partie, qui a pour titre Nottes sur les recreations mathematiques. est signée D.P.H.M. (Denis Henrion, professeur en mathématiques), connu aujourd'hui pour avoir rédigé un des premiers traités sur les logarithmes. Claude Mydorge (1585-1647), "a friend of Descartes and an eminent geometer, [.] was also well versed in optics"(DSB). Ex-libris manuscrit Dubois sur la page de titre.
Verlag: Rouen. Iean Boulley., 1639
Anbieter: MUNDUS LIBRI- ANA FORTES, Salamanca, Spanien
Buch
Encuadernación de tapa dura. Zustand: Bien. La obra de Mydorge, amigo de Descartes, con el que elaboró numerosos instrumentos ópticos, se encuadra en la tradición de los tratados matemáticos que incorporan la pirotecnia como parte de su estudio. Curioso libro con abundantes grabados xilográficos en. 280 p., 106p., 22h. Buen estado. Portada de la primera parte facsimilada. Piel moderna con nervios y dorados en lomera.
Verlag: Chez Rolet Boutonné, Paris, 1638
Anbieter: Michael Treloar Booksellers ANZAAB/ILAB, Adelaide, SA, Australien
Hardcover. 2nd Edition. Paris, Chez Rolet Boutonné, 1638 [second edition]/ 1630. Octavo (170 × 105 mm), four parts bound as one volume, [xvi], 280; 64 (last blank); [63]-106, [12] (index, last three blank); and 39, [1] (blank) pages with woodcut printer's devices on the four title pages, and 84 illustrations throughout (approximately 80 woodcut illustrations and a few type-set diagrams). There are five leaves missing from the 'Troisième Partie' (F4, F5, G1, G4 and G5: pages 85-90, 95-96, and 101-104). Nineteenth century half calf and marbled boards (now lacking the leather corner-pieces, revealing earlier full vellum boards underneath); covers a little worn; light tidemark to the bottom inner corner of the text block throughout; a little worming to the top (blank) margin of the first 25 leaves; insect damage to the bottom edge (extending at most a few millimetres into the wide blank bottom margins); first title leaf dusty and a little soiled; the five missing leaves notwithstanding, overall a very presentable copy. The second edition of Claude Mydorge's expanded edition and critique of this popular early work of recreational mathematics, first published in 1624 and usually attributed to Jean Leurechon. Each of Leurechon's mathematical problems is reprinted here in roman type, with Mydorge's explanatory notes and criticism following in italic. The third part, albeit relatively insubstantial (only 44 well-illustrated pages), is devoted exclusively to fireworks and their construction, which probably explains the few missing leaves. The subtitle is: 'Composée d'un receuil de plusieurs plaisantes & recreatives inventions de feux d'artifice, plus la maniere de faire toutes sortes de fuzées, tant simples que doubles, avec leur composition, le tout representé par figures [sic]' [Comprising a collection of several pleasant and recreative inventions of fireworks, plus the manner of making all sorts of rockets, both single and double, with their composition, all represented in figures]. This third part, together with the second, made its first appearance in a 1628 edition of 'Récréations Mathématiques' published by Charles Osmont at Rouen. Their authorship has not been established (HEEFER, Albrecht: 'Récréations Mathématiques (1624), A Study on its Authorship, Sources and Influence', revised 7 October 2004). The fourth part, 'Nottes [sic] sur les Recreations .' is by D.H.P.E.M. [Denis Henrion, Professeur ès Mathématiques]. Claude Mydorge (1585-1647), French mathematician, was a friend of René Descartes, with whom he shared a strong interest in optics and the nature of vision. 'Mydorge's first major work was the "Examen du livre des Récréations mathématiques", published in 1630. As the title suggests, it was a work on recreational mathematics and was effectively a critique of Laurechon's [sic] book on the theme ['Récréations mathématiques' by the French Jesuit, Jean Leurechon, writing under the pen name of van Etten, first appeared in 1624]. However, it was through his work on conic sections that Mydorge made the greatest scientific impact' (The Cambridge Descartes Lexicon, online). Provenance: a 1713 signature on the first page; an early ownership inscription ('Micha[el] Hutchins His Book') on a preliminary page; 'G.S. Kingston Sept 1834' on the front pastedown: Sir George Strickland Kingston (1807-1880), the South Australian pioneer, engineer and politician (deputy-surveyor-general under Colonel William Light, co-discoverer of the River Torrens, first Speaker in the House of Assembly.
Anbieter: Antiquariaat FORUM BV, Houten, Niederlande
[1], [1 blank], [5], [1 blank], [7], [1 blank], 280, 63, [1 blank], [1], [1 blank], [2], 67-106, [43], [1 blank] pp.Very rare fourth edition of the commentary of Claude Mydorge (1585-1647) on the Récreations mathématiques by "H. van Etten" (Jean Leurechon). Mydorge corrected the numerous mistakes made by Leurechon in these mathematical diversions and "added several physical experiments as well as comments that he claimed were intended only for his friends". Several of examples and comments by Mydorge, also appear in the works of his friend Descartes, making it "reasonable to conclude that many of the other mechanical problems discussed by Mydorge in this work were also known to Descartes and one can easily imagine Descartes as one of the friends participating in the discussions of these problems alluded to in the prefatory remarks" (Hattab).The "diversions" consist of numerous problems for which a mathematical solution is presented, most of them illustrated by a woodcut. For instance, Mydorge (following Leurechon) informs the reader how to make water in a glass boil without fire, "to make a door open from both sides; to build a bridge all round the earth which will not fall when its supports are removed; to keep all the water in the world in the air without a single drop falling to earth". The third chapter, on fireworks, contains even more spectacular problems, such as "if all the gunpowder in the world were put in a globe of glass or paper and set on fire all at once, what would happen? Nothing, since the pressure would be equal in every direction" (Thorndike).Binding soiled and spine with a few holes; lower part loose in binding. First 50 pages creased; several marks and thumbing throughout. A fair, probably well-used copy.l Worldcat (1 copy); for Mydorge: DSB IX, pp. 598-599; Hattab, Descartes on forms and mechanisms, pp. 90-92; Thorndike VII, pp. 593-594.
Verlag: Cardin Besongne, 1659
Anbieter: Libreria Antonio Pettini, ROMA, RM, Italien
Buch
Rilegato. Zustand: mediocre. In-8°, (16cc), pp.416, legatura in pergamena, buone condizioni. In-8°, (16cc), pp.416, parchemine binding, Leggere bruniture. Some pages are burnished.
Erscheinungsdatum: 1638
Anbieter: LIBRAIRIE ÉRIC CASTÉRAN, TOULOUSE, MP, Frankreich
Verbandsmitglied: ILAB
Erstausgabe
A Paris, Chez Rolet Boutonne, 1638. Quatre parties en un volume in-12 (107 X 163) vélin rigide à coutures apparentes, titre calligraphié à l'encre noire en tête du dos (reliure de l'époque) ; (1) f. blanc, titre, (7) ff., 280 pages, 63 pages (dont titre), (1) page blanche, titre, (1) f. « Au lecteur », 67-106 pages, (5) ff. de table, (1) f. blanc, 39 pages (dont titre), (1) page blanche, (1) f. blanc. Tache brune sur le premier plat. SECONDE ÉDITION, en fait remise en vente de l'édition originale parue en 1630 chez Anthoine Robinot, avec un nouveau titre à la date de 1638. Elle est illustrée de 79 FIGURES sur bois, quelques-unes géométriques, la plupart narratives, certaines à caractère nettement emblématique. Cet ouvrage est un commentaire des "Récréations mathématiques" publiées à Pont-à-Mousson en 1624 sous le pseudonyme de H. Van Etten [Jean Leurechon]. La troisième partie est entièrement nouvelle et contient «a collection of many pleasant and recreative inventions of fireworks including the manner of making all kinds of rockets, single and double, with their composition all represented by figures » (Philip). La quatrième partie contient les Notes de Denis HENRION. Claude MYDORGE (1585-1647), qui était l'ami de Descartes et l'aidait à fabriquer des instruments d'optique, enrichit de ses remarques le traité de Jean Leurechon (1591-1670), l'un des premiers en langue française. Les récréations sont présentées sous forme de problème dont l'énoncé doit exciter la curiosité du lecteur : "Représenter en une chambre close tout ce qui se passe par dehors", par exemple. « A friend of Descartes and an eminent geometer, Mydorge was also well versed in optics. He possessed a lively curiosity and was open to all the new ideas of his age. Like Fermat, he belonged to that elite group of seventeenth-century scientists who pursued science as amateurs but nevertheless made contributions of the greatest importance to one or more fields of knowledge » (Biographical dictionary of mathematicians, T. III, pages 1770-71). Ex-dono manuscrit à l'encre noire en queue de la page de titre : « A Jacques Fleury et a ses amis ». ("Biographical dictionary of mathematicians", III, 1770-71 - THORNDYKE, "Magic and experimental Science", VII, 593 - DE BACKER et SOMMERVOGEL, IV, 1757 - PHILIP, "Fireworks Books", M 210-1). BEL EXEMPLAIRE dans sa reliure en vélin d'origine. FINE COPY. PICTURES AND MORE DETAILS ON REQUEST.
Verlag: Paris: Jean Dedin, 1639
Anbieter: Landmarks of Science Books, Richmond, Vereinigtes Königreich
Buch Erstausgabe
Hardcover. Zustand: Very Good. 1st Edition. First complete edition of Mydorge's work on conic sections, intended to provide the geometrical basis for the study of optics (books I & II had been published in 1631). Mydorge's work on conic sections contains hundreds of problems published for the first time, as well as a multitude of ingenious and original methods that later geometers frequently used, usually without citing their source . . . In his study of conic sections Mydorge continued the work of Apollonius, whose methods of proof he refined and simplified . . . Mydorge asserts that if from a given point in the plane of a conic section radii to the points of the curve are drawn and extended in a given relationship, then their extremities will be on a new conic section similar to the first. This statement constitutes the beginnings of an extremely fruitful method of deforming figures; it was successfully used by La Hire and Newton, and later by Poncelet and, especially, by Chasles, who named it 'deformation homographique'. Mydorge posed and solved the following problem in [book] III: On a given cone place a given conic section a problem that Apollonius had solved only for a right cone. Mydorge was also interested in geometric methods used in approximate construction, such as that of a regular heptagon. Another problem that Mydorge solved by approximation, although he did not clearly indicate his method, was that of transforming a square into an equivalent regular polygon possessing an arbitrary number of sides" (DSB). Mydorge (1585-1647) belonged to one of France's most illustrious families. "Like Fermat, he belonged to that elite group of seventeenth-century scientists who pursued science as amateurs but nevertheless made contributions of the greatest importance to one or more fields of knowledge" (ibid.). "In 1625 Mydorge met Descartes, and they became firm friends and scientific collaborators. As Schuster has shown, in the following year Descartes and Mydorge almost certainly succeeded in formulating the mathematical law of refraction" (Sasaki, Descartes Mathematical Thought, p. 175). He was also a friend of Fermat and Mersenne, and in 1638 played a role in settling the dispute between Descartes and Fermat that had arisen when Fermat refuted Descartes 'Dioptrique'. Publication of the work was sponsored by Sir Charles Cavendish (?1595-1654), to whom the book is dedicated. Cavendish seems to have developed contacts with foreign mathematicians and by the summer of 1631 was corresponding with Mydorge. In 1671 John Collins wrote "they complaine in France (as we doe here) that their Booksellers will not undertake to print mathematicall Bookes there, thence it came to passe that the four latter books of Mydorge were never printed, as the former had not been unless Sir Charles Cavendish had given 50 crownes as a Dowry with it" (Collins to Gregory, 14 March 1671/2 in Newton, Correspondence, 47). The manuscript of "the four latter books" was apparently taken to England by Cavendish's brother William and Thomas Wriothesley, Earl of Southampton, and then lost. The first four books were reissued in 1641 and 1660, and under the title 'De sectionibus conicis' were included by Mersenne in his 'Universae geometriae' (1644). Like most copies (e.g., Macclesfield and de Vitry), this copy lacks the leaf of dedication to Cavendish. Albert et al. 1636; B. O. A. C. P. 72; Macclesfield 1507. Folio, pp. [vi], 308, [2, errata, signed D. A. L. G.], woodcut printer's device on title and numerous woodcut diagrams in text (moderate browning). Contemporary limp vellum.
Hardcover. First edition. AUTHOR'S PRESENTATION COPY. First edition, extremely rare author's presentation copy, of all four books of this important work on conic sections, intended to provide the geometrical basis for the study of optics. "Mydorge's work on conic sections contains hundreds of problems published for the first time, as well as a multitude of ingenious and original methods that later geometers frequently used, usually without citing their source" (DSB). Books I and II (pp. 1-134) were first published separately in 1631; a second edition appeared in 1639 with two additional books. The present copy has the first edition of the first two books, with the 1631 title page, bound up with the last two books from the second edition. A printed paper slip Libri quatuor priores has been pasted over Liber primus et secundus on the title to accommodate the added books, and a large section of text has also been pasted over the original on page 67 corresponding to changes in book I made between the 1631 and 1639 editions. The 1631 edition is very much rarer than the 1639: OCLC lists only five copies of the former - Danish Royal Library (but this copy is actually of the 1641 edition), Columbia, NYPL, Zürich, BNF - but 24 of the latter; COPAC adds copies of the 1631 edition at Oxford, Cambridge and UCL. It is likely that the 1631 edition was printed in very small numbers and was mostly, if not entirely, intended for presentation: the copies at Columbia, Zürich and BNF all have authorial corrections. The only other copy of the 1631 edition to have appeared at auction was Michel Chasles' copy, last sold in 1972. "In his study of conic sections Mydorge continued the work of Apollonius, whose methods of proof he refined and simplified . Mydorge asserts that if from a given point in the plane of a conic section radii to the points of the curve are drawn and extended in a given relationship, then their extremities will be on a new conic section similar to the first. This statement constitutes the beginnings of an extremely fruitful method of deforming figures; it was successfully used by La Hire and Newton, and later by Poncelet and, especially, by Chasles, who named it deformation homographique. "Mydorge posed and solved the following problem in [book] III: 'On a given cone place a given conic section' - a problem that Apollonius had solved only for a right cone. Mydorge was also interested in geometric methods used in approximate construction, such as that of a regular heptagon. Another problem that Mydorge solved by approximation - although he did not clearly indicate his method - was that of transforming a square into an equivalent regular polygon possessing an arbitrary number of sides" (DSB) "Mydorge (1585-1647) was born in Paris to one of the wealthiest families in France. He was educated at the Jesuit College of La Flèche and subsequently trained as a lawyer, before embarking on a legal and administrative career. After serving as conseiller to the court of the Grand Châtelet, he became treasurer of the généralité of Amiens, the collector general being a direct agent of the king. Mydorge's chosen employment allowed him sufficient time to combine public office with the life of a savant. Residing in what remained of the ancient Palais des Tournelles, he first met Descartes around 1625, becoming one of his most faithful friends and helping to establish his reputation in Paris. The mathematician Claude Hardy, a leading figure in the scientific circles around Mersenne, Roberval, and Étienne Pascal, lodged with him while he was producing his edition of Euclid's Elements. "Mydorge shared with Descartes a strong interest in optics and the nature of vision. It is well known that in order to promote his friend's investigations on these topics, he commissioned the production of innumerable parabolic, hyperbolic, oval, and elliptic lenses, reputedly spending in excess of 100,000 écus on optical instruments over the years. Both men were interested particularly in refraction, and when Descartes, independently of Snell, discovered the law of refraction, he persuaded Mydorge to have a hyperbolic glass made in order to test his discovery" (Cambridge Descartes Lexicon). Mydorge was also a friend of Fermat and Mersenne, and in 1638 played a role in settling the dispute between Descartes and Fermat that had arisen when Fermat refuted Descartes' Dioptrique. Mydorge played an important role in Descartes' discovery of the sine law of refraction, which the two men almost certainly formulated in 1626 (Sasaki, p. 175). "In a letter to Mersenne from around 1627, Mydorge used a rule to calculate angles of refraction, given the angles of one pair of incident and refracted rays . The rule comes down to a cosecant 'law' . Later in the letter, Mydorge applied this rule to lenses and transformed it into sine form. Mydorge's rule embodies the two assumptions that formed the core of Descartes' derivation of the sine law in La Dioptrique" (pp. 126-127). Publication of the present work was sponsored by Sir Charles Cavendish (?1595-1654), to whom the book is dedicated - Mydorge calls Cavendish "extremely skilled in all mathematics and a very dear friend to me" (Malcolm & Stedall, p. 88). Cavendish seems to have developed contacts with foreign mathematicians and by the summer of 1631 was corresponding with Mydorge. In 1671 John Collins wrote "'they complaine in france (as we doe here) that their Booksellers will not undertake to print mathematicall Bookes there, thence it came to passe that the four latter books of Mydorge were never printed, as the former had not been unless Sir Charles Cavendish had given 50 crownes as a Dowry with it" (Collins to Gregory, 14 March 1671/2 in Newton, Correspondence 47). The manuscript of 'the four latter books' was apparently taken to England by Cavendish's brother William and Thomas Wriothesley, Earl of Southampton, and then lost. The first four books were reissued in 1641 and 1660, and under the title De sectionibus c.
Verlag: Parisiis: Ex typographia I. Dedin?, 1631
Anbieter: Nigel Phillips ABA ILAB, Chilbolton, Vereinigtes Königreich
Small folio, 6 leaves (including the initial blank), 134 pages, 2 leaves (errata). Woodcut device on title, woodcut head- and tailpieces and initials, diagrams in the text. Comtemporary vellum. This copy has been water-damaged at an early stage; the front endpapers and the initial blank are ragged, and the fore-edge and lower margins of the title-page are partly missing, the vellum is a bit stained and the paper is wrinkled but otherwise in good condition and only very lightly discoloured or stained.Presentation copy, inscribed by the author in the lower margin of the title-page to Christian S. Zeuggman, and signed by Mydorge with his full name rather than usual sign ?D.A.L.G.? FIRST EDITION of Mydorge?s important and original work on conic sections, presented as a geometric basis of reflective and refractive optics. ?In his study of conic sections Mydorge continued the work of Apollonius, whose methods of proof he refined and simplified? Mydorge asserts that if from a given point in the plane of a conic section radii to the points of a curve are drawn and extended in a given relationship, then their extremities will be on a new conic section similar to the first. This statement constitutes the beginning of an extremely fruitful method of deforming figures; it was successfully used by La Hire and Newton, and later by Poncelet and, especially, by Chasles, who named it déformation homographique? Mydorge?s works on conic sections contain hundreds of problems published for the first time, as well as a multitude of ingenious and original methods that later geometers frequently used, usually without citing their source.? Finally it should be noted that the term ?parameter? of a conic section was introduced by Mydroge? (DSB). ?By the time of the Prodromi, Mydorge had intimate knowledge of the optical properties of curves and surfaces and had developed descriptions based not on their figures as produced by sectioning a cone, but rather on their focal properties. He was equally interested in, and inventive of, ways in which to actually produce these curves. Both aspects would define the Prodromi? (DiLaura). This first edition contains the first two Books, and is much rarer than the second edition of 1639 which contained all four Books. As in the Columbia, BNF and Horblit (now at Zürich) copies (and possibly in the only other copy recorded by OCLC, at NYPL), this copy has a manuscript correction relating to page 36 signed ?D.A.L.G.? and a small stamp with the author?s arms in the lower margin of the first page of errata. DiLaura, Bibliotheca Opticoria, 71.