Alexandria pappus (21 Ergebnisse)

Zustand: New. pp. 440.

Zustand: New. pp. 499.

Zustand: New. pp. 557.

Zustand: New. In English.

Zustand: New. In English.

Hardcover. Zustand: Fine. 1st Edition. Xxxi, 328 Pp. Hardcover. First Printing. Fine.

Paperback. Zustand: Brand New. 390 pages. German language. 6.14x0.80x9.21 inches. In Stock.

Zustand: New. In English.

Taschenbuch. Zustand: Neu. Neuware - This is Volume 3 of a French translation of Pappus of Alexandria's 'Collectiones Quae Supersunt E Libris Manu Scriptis Edidit Latina Interpretatione Et Commentariis.' Pappus was one of the last great mathematicians of antiquity, and his 'Collection' is a vast and important work covering a wide range of mathematical topics. This volume offers invaluable insights into the mathematical knowledge and practices of the ancient world, presented with detailed Latin interpretations and commentaries. It remains a significant resource for scholars interested in the history of mathematics, science, and classical studies.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

Soft cover. Zustand: Fine. 1st Edition. X, 375 Pp.; Vi, 376-748. Two Separate Volumes. Yellow Cloth. First Printings Indicated. Fine, No Marks.

Hardcover. Zustand: Very Good+. No Dust Jacket. Scholar's bookplate to inner cover (G. P. Goold). Light soiling to rear board of vol. 2 else books have very minor shelfwear.; The seventh book of Pappus's Collection, his commentary on the Domain (or Treasury) of Analysis, figures prominently in the history of both ancient and modern mathematics: as our chief source of information concerning several lost works of the Greek geometers Euclid and Apollonius, and as a book that inspired later mathematicians, among them Viete, Newton, and Chasles, to original discoveries in their pursuit of the lost science of antiquity. This presentation of it is concerned solely with recovering what can be learned from Pappus about Greek mathematics. The main part of it comprises a new edition of Book 7; a literal translation; and a commentary on textual, historical, and mathematical aspects of the book. It proved to be convenient to divide the commentary into two parts, the notes to the text and translation, and essays about the lost works that Pappus discusses. The first function of an edition of this kind is, not to expose new discoveries, but to present a reliable text and organize the accumulated knowledge about it for the reader's convenience. Nevertheless there are novelties here. The text is based on a fresh transcription of Vat. Gr. 218, the archetype of all extant manuscripts, and in it I have adopted numerous readings, on manuscript authority or by emendation, that differ from those of the old edition of Hultsch. Moreover, many difficult parts of the work have received little or no commentary hitherto.; 749 pages.…

Zustand: New. In English.

Buch. Zustand: Neu. Neuware - This is Volume 3 of a French translation of Pappus of Alexandria's 'Collectiones Quae Supersunt E Libris Manu Scriptis Edidit Latina Interpretatione Et Commentariis.' Pappus was one of the last great mathematicians of antiquity, and his 'Collection' is a vast and important work covering a wide range of mathematical topics. This volume offers invaluable insights into the mathematical knowledge and practices of the ancient world, presented with detailed Latin interpretations and commentaries. It remains a significant resource for scholars interested in the history of mathematics, science, and classical studies.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

Taschenbuch. Zustand: Neu. Neuware.

Taschenbuch. Zustand: Neu. Neuware - This collection presents the surviving works of Pappus of Alexandria, a prominent Greek mathematician of late antiquity. Edited from original manuscripts and accompanied by a Latin translation and extensive commentaries, this volume offers invaluable insights into Pappus's contributions to geometry, mechanics, and mathematical problem-solving. Pappus's 'Collection' is renowned for its comprehensive survey of classical Greek mathematics, preserving and extending many earlier works that would otherwise be lost. This edition serves as an essential resource for scholars and historians of mathematics, providing a critical edition of the original Latin alongside the original Greek text. Explore the ingenuity and enduring legacy of Pappus, whose work continues to inspire and inform mathematical thought. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

Taschenbuch. Zustand: Neu. Neuware - This book includes a collection of mathematical works by Pappus of Alexandria, a prominent mathematician in the 4th century CE. The texts cover a wide range of topics, including geometry, mechanics, and astronomy. The book is an important resource for mathematicians and historians of mathematics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the 'public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

Buch. Zustand: Neu. Neuware - This collection presents the surviving works of Pappus of Alexandria, a prominent Greek mathematician of late antiquity. Edited from original manuscripts and accompanied by a Latin translation and extensive commentaries, this volume offers invaluable insights into Pappus's contributions to geometry, mechanics, and mathematical problem-solving. Pappus's 'Collection' is renowned for its comprehensive survey of classical Greek mathematics, preserving and extending many earlier works that would otherwise be lost. This edition serves as an essential resource for scholars and historians of mathematics, providing a critical edition of the original Latin alongside the original Greek text. Explore the ingenuity and enduring legacy of Pappus, whose work continues to inspire and inform mathematical thought. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

Buch. Zustand: Neu. Neuware - This book includes a collection of mathematical works by Pappus of Alexandria, a prominent mathematician in the 4th century CE. The texts cover a wide range of topics, including geometry, mechanics, and astronomy. The book is an important resource for mathematicians and historians of mathematics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the 'public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

Edition : First Commandino edition., 17th century mottled calf; spine raised with six (6) bands, compartments gilt, gilt lettered title on two; all edges speckled red. , First edition by Commandino. David Clement judges this edition of the first four books bound with the two books of Sereni on cones and cylinders, to be extremely rare. Also footnote (32) states: [in Bibliotheca Uilenbroukiana P.I. p. 55. Catal. duarum Bibliothecaruin Dom. N. B. & D. L. Hagae - Com. ap. Beauregard, 1747. in 8vo. p. 9, Vogt Libror. rarior. p. 40.] describes this Commandin edition surpassing that of Jean-Baptiste Memmius, which was printed in Venice in 1537. It quotes Fabricius? statement in the Bibliotheca Graeca about Memmius or Memus not having understood the subject at hand, translated from a basically wanting manuscript with manifold, thereby rendering his version weak. It also mentions that this didn?t mean Commandin?s was fault-free remaring the Greek manuscript he had drawn on was filled with failts. Concerning Apollonius?s work Koudela states? Interest in ancient Greek knowledge increased gradually in the fifteenth and sixteenth centuries, especially in Italy, the leading country of Europe's culture and science of the time. Latin translations of Greek works on conic sections and other curves - Apollonius and Pappus in particular - appeared in several editions. Although some original works were also published in the sixteenth century, no significant progress in the study of conic sections had been made until the work of Kepler. His contribution influenced the further development of projective geometry and can be regarded as the transition from ancient to modern geometry. The spread of Greek knowledge in the Renaissance The invention of conic sections is attributed to Menaechmus (4th cent. BC), a member of Plato's Academy at Athens. Various species of conic sections were obtained by truncating an acute-angled, right-angled and obtuse-angled cone by a plane perpendicular to the generator of the cone. Conic sections were also investigated by Aristaeus the Elder (4th cent. BC) and by Euclid (c. 325 - c. 265 BC). Their works on this subject are now lost. The works of Archimedes (287 - 212 BC) contain some important results concerning the properties of conic sections, especially parabolas. The greatest ancient writer on conic sections was Apollonius of Perga (c. 262 - c. 190 BC). His famous work Conics consisted of eight books and contained 487 propositions. Apollonius introduced the terms ellipse, parabola and hyperbola and showed that various sections of the cone can be obtained by varying the inclination of the intersecting plane. Among other ancient authors dealing with conic sections, we should mention Pappus of Alexandria (c. 290 - c. 350 AD), the last of great Greek geometers. His main work known as Collection is valuable - among other things - because it provides an account and comments on the results obtained by his predecessors. Pappus introduced the notion of the focus and the directrix of a hyperbola (Kline, 1990, p. 128 ). Apollonius? work influenced the greatest scholars of the modern era, such as Descartes and Newton. The Latin translation of the first four books of Apollonius by Gianbattista Memo appeared in Venice in 1537. The present edition of Apollonius? Conics of the sixteenth century is based on the translation and important new edits by Federico Commandino (1506-1575), who published ?classical Greek mathematical texts under the auspices of the Duke of Urbino.? Horblit: ?The most influential early edition of this highly important text, entirely superceding Memmo?s version of 1537? Other sources state that, in total, the Conics consist of 387, not 487, propositions published in seven books, with the eighth book remaining unconfirmed. References: Adams A-1310; Brunet I, 347; David Clement, Bibliothèque curieuse historique et critique: A-Aqvino, 1750, p.415/6; Dibner 101; Honeyman 118; Horblit 4; Koudela, L.: Curves in the History of Mathematics: The Late Renaissance, 2005; Norman, 57; Riccardi I/1, 361 5,1; (Commandino); Sotheran I, 124.Work II: Conicorum lib. V, VI, VII with Archimedis Assumptorum liber. Pergaeus, Apollonius (c. 262-c. 190 B.C.?), author; Archimedes (c. 287-c. 212 B.C?), author; Abu'l Fath of Isphahan or Bundari, al-Fath ibn Ali (c. 1190 - c. 1245?), author; Borelli, Giovanni Alfonso (c. 1608-1679), editor; Abraham, Ecchellensis (1605-1664), translator: APOLLONII PERGAEI// CONICORVM LIB. V.VI.VII. // PARAPHRASTE // ABALPHATO ASPHAHANENSI // Nunc primum editi. // ADDITVS IN CALCE. // ARCHIMEDIS ASSVMPTORVM LIBER, // EX CODICIBVS ARABICIS M.SS. // SERENISIMI // MAGNI DVCIS ETRVRIAE //ABRAHAMVS ECCHELLENSIS MARONITA // In Alma Vrbe Linguar. Orient. Professor Latinos reddidit. // IO: ALFONSVS BORELLVS // In Pisana Academia Matheseos Professor curam in Geometricis versioni // contulit, & notas vberiores in vniversum opus adiecit. // AD SERENISSIMVM // COSMVM III. // ETRVRIAE PRINCIPEM. // FLORENTIAE, // Ex Typographia Iosephi Cocchini ad insigne Stellae MDCLXI. // SVPERIORVM PERMISSV. Two parts in one.Text in Latin.First edition. / Editio princeps Florentiae / Florence: ex Typographia Iosephi Cocchini, publisher; c. 1661. Folio (294x199mm). Illustrated with a red and black ink title, decorative head-, tail pieces, and woodcut initials of varying sizes at openings, a large number of mathematical in-text woodcut illustrations, mainly diagrams, throughout, again of varying sizes; wide margined paper. Pagination: [36], 415, bl. Collation: Ll: bl. half title, red and black ink title, +*3-6, **1-****4 with index, A1-Z4, Aa1-Zz4, Aaa1-Fff4 with errata, bl. Very beautiful and rare work, edited by Alfonso Borelli, is the first edition of booksV, VI and VII of the Conicorum of Apollonius. Concerning Apollonius Koudela states? Interest in ancient Greek knowledge increased gradually in the fifteenth and sixteenth centuries, especially in Italy, the leading country of Europe's culture.…

GREEK GEOMETRY - A CRUCIAL INFLUENCE ON DESCARTES. First edition of Pappus' Collection, translated with commentary by Federico Commandino, a princely copy from the notable collection of the great Papal family and patrons of learning, the Piccolomini, Dukes of Amalfi, thence by marriage to the German nobleman von Troilo. The Collection is "by far the most important of Pappus' works . without it, much of the geometrical achievement of his predecessors would have been lost forever . The Collection deals with the whole body of Greek geometry, mostly in the form of commentaries on texts which it is assumed the reader has to hand. It reproduces known solutions to problems in geometry; but it also frequently gives Pappus' own solutions, or improvements and extensions to existing solutions. Thus Pappus handles the problem of inscribing five regular solids in a sphere in a way quite different from Euclid; gives a broader generalization than Euclid to the famous Pythagorean theorem, and provides a demonstration of squaring the circle which is quite different from the method of Archimedes (who used a spiral) or that of Nicomedes (who used the conchoid). Perhaps the most interesting part of the Collection, measured by its influence on modern mathematics, is Book VII, which is concerned with the problems of determining the locus with respect to three, four, five, six or more than six lines. Pappus' work in this field was called 'Pappus' problem' by René Descartes, who demonstrated that the difficulties which Pappus was unable to overcome could be got round by the use of his new algebraic symbols. Pappus thus came to play an important, if minor, role in the founding of Cartesian analytical geometry. And it is another mark of his originality and skill that he spent much time working on the problem of drawing a circle in such a way that it will touch three given circles, a problem sophisticated enough to engage the interest, centuries later, of both François Viète and Isaac Newton. For his own originality, even if his chief importance is as the preserver of Greek scientific knowledge, Pappus stands (with Diophantus) as the last of the long and distinguished line of Alexandrian mathematicians" (Hutchinson Dictionary of Scientific Biography). "He formally defined analysis and synthesis as they are still commonly applied in the solution of geometrical riders. Pappus stumbled upon the projective invariance of the cross-ratio of four collinear points and other related results reclaimed by modern projective geometry; and he gave the first recorded statement of the focus-directrix property of the three conic sections. He formulated the 'centrobaric' theorems, frequently attributed to Paul Guldin (1577-1643), for calculating the volume and surface generated by a plane figure rotating about an axis in its own plane. He discussed theoretical mechanics, the equilibrium of a heavy body on an inclined plane, the use of the mechanical powers, and the construction of mechanical toys" (Biographical Dictionary of Scientists). Provenance: Ex libris inscription of Princess Maria Piccolomini and signature of Count Franz Gottfried von Troilo on title; shelfmark on front free endpaper. Pappus of Alexandria (c. 290 - c. 350 AD) was the most important mathematical author writing in Greek during the later Roman Empire. Other than that he was born at Alexandria in Egypt and that his career coincided with the first three decades of the 4th century AD, little is known about his life. "In the silver age of Greek mathematics Pappus stands out as an accomplished and versatile geometer. His treatise known as the Synagoge or Collection is a chief, and sometimes the only, source for our knowledge of his predecessors' achievements. The Collection is in eight books, perhaps originally in twelve, of which the first and part of the second are missing . The several books of the Collection many well have been written as separate treatises at different dates and later brought togeth.…

Colophon: Pisauri (Pesaro), Hieronymum Concordiam, 1588. (Having the reprinted title-page: Venetiis, Franciscum de Franciscis Senemsem, 1589). Folio. Contemporary limp vellum. Repairs to upper part of spine 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-page. 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). F2 browned, but otherwise remarkably clean with only a few brownspots. A few small worm-tracts to some margins. In spite of its flaws, a very good copy of this monumental work. First edition, title-issue (with the fresh title-page stating 1589, but with nothing else reprinted and otherwise through and through the 1588-printing), of Commandino's seminal Latin translation of the work that constitutes the culmination of Greek Mathematics. This printing, which contains the complete extant text of Pappos in Latin translation is responsible for reviving ancient mathematics in the Renaissance and shaping much modern mathematics, profoundly influencing the likes of Descartes and Newton. "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).…