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In den WarenkorbHRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.
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Verlag: Appresso Domenico Frisolino,, Urbino, 1575
Anbieter: Alexandre Antique Prints, Maps & Books, Toronto, ON, Kanada
Erstausgabe
18th century vellum over boards, spine with six (6) almost flat bands; gilt lettered title on morocco label on two; all edges speckled rose., Euclid or Euclid of Alexandria (~ 300 B.C.), "was a Greek mathematician, often referred to as the 'founder of geometry' or the 'father of geometry'. He was active in Alexandria during the reign of Ptolemy I (323?283 BC). His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. In the Elements, Euclid deduced the theorems of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory, and mathematical rigour.? The Italian Federico Commandino (1509?1575) "studied at Padua and at Ferrara, where he received his doctorate in medicine. He was most famous for his central role as translator of works of ancient mathematicians. In this, his sources were primarily written in Greek and secondarily in Arabic, while his translations were primarily in Latin and secondarily in Italian. He was responsible for the publication of many treatises of Archimedes. He also translated the works of Aristarchus of Samos (On the sizes and distances of the Sun and the Moon), Pappus of Alexandria (Mathematical collection), Hero of Alexandria (Pneumatics), Ptolemy of Alexandria (Planisphere and Analemma), Apollonius of Perga (Conics) and Euclid of Alexandria (Elements). Among his pupils was Guidobaldo del Monte and Bernardino Baldi. Commandino maintained a correspondence with the astronomer Francesco Maurolico. The proposition known as Commandino's theorem first appears in his work on centers of gravity." The present work is the first edition of the Italian translation by Commandino; it is one among only few works printed in Urbino during the 16th century. , Size : Folio (303x212mm). , Illustrated printed title with woodcut device; large historiated woodcut initials at openings of chapters/ book with depictions of engagement in mathematical studies; moreover, numerous in-text woodcuts throughout the work depicting mathematical figures, concepts, and number lines.Text in Italian; panelled.Roman and Italic script. First Edition in Italian with Commandino?s commentary., References : Adams: E995; Brunet II: 1090; Gamba: 1386: , Ll: bl., [8], 278; collation: bl., [2] with title and dedication, **1-4, ***1-2, A1-Z4, AA1-ZZ4, AAa1-ZZz4, AAAa1-2, bl. Occasional scattered foxing and light marginal water stains, otherwise very good example.
Verlag: Domenico Frisolino, Urbino, 1575
Anbieter: Rodger Friedman Rare Book Studio, ABAA, Tuxedo, NY, USA
Hard cover. Zustand: Very Good. Folio; [16], 278 pages. Title page and all text pages ruled in typographic border. Typographic ornament on title page, 18 historiated initials (some duplicates) showing putti with geometer's instruments against a background of Italian hill towns. Numerous geometric figures in text. Bound in c19 (?) full mint green sheep, with red leather title label lettered and tooled in gilt. Edges stained indigo. Binding somewhat scuffed, with upper joint cracked; spine darkened and scuffed. Early ownership inscription on title page, later bookplate on front pastedown. Few marginal notes in contemporary hand. Very light occasional foxing present. References: Moranti, #4 ("un vero capolavoro tipografico" p.14); Gamba 1386 ("Nobile edizione"); Adams, E-995;; Brunet, II, 1090; Graesse, II, 513; Thomas-Stanford, 42; Olschki, Choix, 6539 ("Traduction très estimée"). The first book printed in Urbino in the 16th century, and only the fourth overall. Urbino's presses lagged behind those of other Italian cities, due in part to Duke Federico's predilection for manuscripts. It seems Federico Commandino, the foremost mathematician of the generation before Galileo, had a press set up in his house. He hired in a printer, Domenico Frisolino, and there he published his translation into Italian of Euclid, based on his own Latin translation of 1572. Commandino died just as the sheets were coming off the press. His brother-in-law hastily attached a dedicatory letter (to Francesco Maria II della Rovere) explaining that Commandino wanted the text to be available to "all who are served by mathematics," that is, even those who do not understand classical languages. Euclid's text is glossed by Commandino's running commentary, and illustrated with figures.
Hardcover. Zustand: Very Good. 1st Edition. Folio. (4) ff., the last blank, 334 (ie 332, with frequent misnumberings), including numerous diagrams in text. Bound in contemporary limp vellum, title stenciled in gothic letters on spine, ties gone, and housed in half-morocco and linen bookbox with gilt-stamped title on spine. Minor paper flaw to t-p touching two partial letters; some minor fingersoiling on a few leaves, and light waterstain in margin of final two leaves; otherwise a large and very fresh unsophisticated copy, brilliant. Very attractive and genuine copy of the scarce first edition. This is the complete extant text of the Alexandrian geometer Pappus (4th century AD) in the Latin translation of Federico Commandino, a crucial source for the history of ancient geometry (not infrequently the only extant witness) and a work which remained mathematically important to such later geometers as Descartes and Newton. This posthumous publication completes Commandino's life's work of reviving Renaissance mathematics by making available the best mathematical thought of antiquity. "Heath judiciously observes that the Collection, while covering practically the whole field of Greek geometry, is a handbook rather than an encyclopedia; and that it was intended to be read with the original works, where extant, rather than take their place. But where the history of a particular topic is given, Pappus reproduces the various solutions, probably because of the difficulty of studying them in many different sources. Even when a text is readily available, he often gives alternative proofs and makes improvements or extensions." -- DSB, X.294; The book of greatest interest to modern geometers is book VII, in a passage on Apollonius' Conics. This concerns the attempt to conceive of the product of more than three straight lines as geometrical entities, known as "Pappus' Problem". Descartes devoted a major part of his own Géométrie to this, and solved it by the use of algebraic notation. "Pappus' problem thus inspired the new method of analytical geometry that has proved such a powerful tool in subsequent centuries." -- DSB, p. 296 (and for Newton, see the following paragraph.).*Adams P-223; Rose, Italian Renaissance of Mathematics, p. 209-13 for the circumstances of publication; Ivor Bulmer-Thomas, DSB X.293-304.
Verlag: Paulus Manutius (Aldine Press), Venice, 1558
Anbieter: Raptis Rare Books, Palm Beach, FL, USA
Erstausgabe
First separate edition and first edition of Commandino's commentary of Ptolemy's Planisphaerium, the original Greek text of which is no longer extant. Octavo, two volumes bound into one in eighteenth century vellum, all edges speckled red, Aldine device on both titles and both final pages, woodcut initials, numerous woodcut diagrams. The Ptolemaei is printed in Roman type and the Planisphaerium in Italics; examples from the Aldine Press in Roman type are scarce as the press's founder, Aldus Manutius, invented the Italic type which he used almost exclusively. The Aldine press was also the first toÂissue printed books in the small octavo size. After Aldusâ death in 1515 the press was continued by his wife, Maria and her father, Andrea Torresani, until his son, Paulus Manutius (1512â"1574) assumed management in 1534. It is from this era that most, if not all, of the works from his press bear the imprint In Aedibus Haeredum Aldi et Andrea Asulani Soceri. In near fine condition with minor marginal dampstaining to a few pages. Exceptionally rare and desirable. Originally written in Ancient Greek, Ptolemy's 12th century Planisphaerium was one of the major scientific works that survived from antiquity in Arabic translation. An exploration of the mathematics of mapping figures inscribed in the celestial sphere, the Planisphaerium attracted interest because stereographic projection was the mathematical basis of the plane astrolabe, an instrument which was widely used in the medieval Islamic world. This Latin version, along with Jordanus de Nemore's work on the same topic, was first printed in Basel in 1536. The editor of the present volume, Federico Commandino, was a physician to the Duke of Urbino at his household in Rome, and the author of several translations of ancient Greek mathematical treatises and commentaries published in the early 16th century. In working with Ptolemy's stereographic projection of the celestial sphere on a plane with the south celestial pole at the center, Commandino noticed that conic sections could be considered sections in visual cones or perspective images. This inspired him to include in his work a study of perspective, which occupies the majority of his commentary and represents one of the earliest mathematical formulations of a method already widely employed by artists (Adams P2242; Censimento 16; CNCE 28281; Renouard 1558/4; Ahmanson-Murphy/UCLA 449; Houzeau & Lancaster 769; Honeyman 2557; Riccardi I, 360, 1).