Euclides, First Edition (26 results)

Soft cover. Condition: New. 1st Edition. A coleção Vida e Pensamentos é uma série de livro-clipping com biografias essencializadas de homens e mulheres que marcaram a vida e o modo de pensar da humanidade.São livros informativos e formativos destinados a pessoas de qualquer idade.Você vai gostar de lê-los e colecioná-los.

Condition: New. 2014. 1st Edition. paperback. . . . . .

Soft cover. Condition: Good. 1st Edition. 21x14cm,192p.[br].

Taschenbuch. Condition: Gut. 1. Auflage. 783 S. Schuber an Ecken leicht berieben. Einband an Ecken und Kanten leicht berieben. Seiten sauber. 403 Sprache: Deutsch Gewicht in Gramm: 540.

Holandesa. Condition: Bien. 1ª Edición. Revista mensual de Ciencias Exactas, Físico Químicas y Naturales. El envío contrareembolso conlleva un recargo de 3?.

DEA, 25x25 cm, 159 S., OLwd. m. OU., gut erhalten Aufgrund der EPR-Regelung kann in folgende Länder KEIN Versand mehr erfolgen: Bulgarien, Finnland, Frankreich, Griechenland, Luxemburg, Österreich, Polen, Rumänien, Schweden, Slowakei, Spanien.

Condition: Very Good. Dust Jacket Condition: Very Good+. First Edition. Chicago: University of Chicago Press, [2013]. First Edition with full number line. Octavo (24cm); publisher's cloth in glossy pictorial dust jacket; xv,[1],612pp.; illus. Corners rather significantly bumped else Very Good or better.

Hardcover. Condition: Very Good. 1st Edition. FIRST EDITION IN ENGLISH. 8 vo. Orig. cloth with orig. lea. spine label. xxx, 246 pp. Text figs. A very good copy. This is the first English translation of the Italian mathematician, G. Saccheri's (1667-1733), famous and rare geometric work, 'Euclid freed of every fleck' (Milan, 1733). Saccheri's ".attempt to apply his logic to prove the correctness of the fifth postulate (Euclid's parallel axiom). has become part of mathematical logic and non-Euclidean geometry." (D.S.B.).

First edition. 8vo. xxviii, 939, 14 pp. Classic papers in geometry with facsimiles of original text & translation into Swedish, figs. Cloth, dust-jacket; jacket rubbed. Very good.

Encuadernación de tapa blanda. Condition: Aceptable. 1ª Edición. 129 p. ; 30x23 cms., ilustraciones b/n y color., planos. Bibliografía. Roturas en lomo (A-288-GR-38).

Encuadernación de tapa blanda. Condition: Nuevo. 1 Edición. Una característica esencial de la matemática griega era que se trataba de una disciplina que se cultivaba por sí misma, independientemente de su aplicación o valor práctico. Este tipo de saber desinteresado, sin utilidad inmediata, era típico de esta cultura, y en ella las matemáticas representaron uno de los principales ejemplos de una contemplación tal de la verdad, una forma de conocimiento puro.

Encuadernación de tapa blanda. Condition: Bien. 1ª Edición. 136 p. ; 30x24 cms., ilustraciones b/n, planos (A-267-GR-17).

1.Ausgabe. 152 S. Mit 69 teilweise farbigen und ganzseitigen Abb. Deckel stellenweise minim fleckig. pt Gewicht in Gramm: 750 28,5 cm. x 19 cm. Original-Halbleinenband mit Rückenprägung und Deckel-Beschriftung.

Hardcover. Condition: Very Good. No Jacket. 1st Edition. xxix, 246 pp; 48 figs. Original cloth, leather spine label. Very Good. First Edition in English. Contains the Latin text, with English translation, on facing page. Saccheri's 'attempt to apply his logic to prove the correctness of the fifth postulate (Euclid's parallel axiom). . . has become part of mathematical logic and non-Euclidean geometry' (D.S.B.).

Hardcover. 1. Aufl. 159 S. : Sehr guter Zustand. Buch weist leichte Lagerspuren auf. Schutzumschlag mit leichten Randläsuren. Sonst sehr gutes Exemplar. 9783905482041 Sprache: Deutsch Gewicht in Gramm: 1001.

gebundene Ausgabe. 1. Aufl. 159 S. Ill. / Schutzumschlag bestaubt u. vergilbt // Bevölkerung, Soziologie, Gesellschaft, Fotografie, Photographie, Bildband N08 9783905482041 *.* Sprache: Deutsch Gewicht in Gramm: 850.

Hardcover. Condition: Good. 1st Edition. Euclides. De zes eerste, elfde en twaalfde boeken vertonende de voornaamste gronden en eygenschappen der wydberoemde en voortreffelyke meetkonst, waar by gevoegd een toegift, om vierkanten in driehoeken; en een agthoek in een vierkant te beschryven, mitsgaders een aanhang (.), door Pieter Warius. Den derden druk. Amsterdam, Wed. J. Loots, I. Swigters, 1735. (12),292 pp., with numerous mathematical figures on 27 folding engraved plates, in contemporary vellum. Binding sl. rubbed, spine dam. Good copy. One of the most popular school books on geometry, based on Euclid, translated and adapted by Pieter Warius.

; Samuel en Johannes Luchtmans. First edition. Contemporary halfleather with marbled boards. (16), 381 Pp. New endpapers; last 30 pp. waterstained. Otherwise nice copy of this rare first edition!

First Edition. GARCIA DE CESPEDES, Andres. La Perspectiva, y Especularia de Euclides. Traduzidas en vulgar Castellano. por Pedro Ambrosio Onderiz. Madrid: Alonso Gomez, 1585. Full Description: [EUCLID]. La Perspectiva, y Especularia de Euclides. Traduzidas en vulgar Castellano. por Pedro Ambrosio Onderiz. Madrid: Alonso Gomez, 1585. First edition of the first Spanish translation of Euclid's "Optics and Catoptrics." Small quarto (7 5/8 x 5 1/2 inches; 194 x 136 mm). [6], 60 leaves. With separate title-page for Especularia dated 1584. Woodcut armorial vignette of Philip II on the general title page. With woodcut initials and diagrams in the text. [Together with]: GARCIA DE CESPEDES, Andrés. Libro des Instrumentos Nuevos de Geometria muy Necessarios para Medir Distancias, y Alturas, sin que intervengan numeros, como se demuestra en la practica. De mas desto se ponen otros tratados, com es uno, de conduzir aguas, y otro una question de artilleria, en donde se ponen algunas demostraciones curiosas. Madrid, Juan de la Cuesta, 1606. First and only edition. Small quarto (7 5/8 x 5 1/2 inches; 194 x 136 mm). [4], 68 leaves. With woodcut engravings, initials, head and tailpieces.Andrés García de Céspedes was the Royal Cosmographer to King Philip III of Spain. The leaf following the title page contains a list of 11 other works by Céspedes of which only two were printed, the present work and a treatise on navigation, Regimiento de Navigacion, published the same year as this work. The headpiece at the start of the text contains native American motifs. Juan de la Cuesta was the printer of the first edition of Don Quixote. These two works are bound together in contemporary vellum. Yap edges. Vellum ties. Previous owner's bookplate on front pastedown. Early ink inscriptions to front free endpaper. Old ink marginalia throughout both works. Some old branding markings to edges of text block, not affecting text. Some minor dampstaining and soiling. Final text leaf and rear free endpaper with a repair, affecting a few words. Final text leaf trimmed close, just touching text. Housed in a quarter sheep clamshell with red morocco spine label, lettered in gilt. Overall a very good copy of both works. "Though often overshadowed by his mathematical reputation, Euclid is a central figure in the history of optics. He wrote an in-depth study of the phenomenon of visible light in Optica, the earliest surviving treatise concerning optics and light in the western world. Within the work, Euclid maintains the Platonic tradition that vision is caused by rays that emanate from the eye, but also offers an analysis of the eye's perception of distant objects and defines the laws of reflection of light from smooth surfaces. Optica was considered to be of particular importance to astronomy and was often included as part of a compendium of early Greek works in the field. Translated into Latin by a number of writers during the medieval period, the work gained renewed relevance in the fifteenth century when it underpinned the principles of linear perspective." (Michael W. Davidson and The Florida State University) Libro des Instrumentos Nuevos de Geometria by Garcia de Cespedes, describes new instruments useful in various fields of military surveying, ballistics and geometry, as well as the location and transportation of drinking water. It also includes the most comprehensive description of hydraulics to have been published in Spain. Palau 98620. HBS 69530. $17,500.

Soft cover. Condition: Very Good. 1st Edition. First edition, rare, of Borelli's "well received work" (DSB) - not merely a restoration but a thoroughgoing reformulation of Euclid's Elements. "The mathematical work of Giovanni Alfonso Borelli (1608-1679) was entirely devoted to the study and interpretation of the Greek classics. His most important mathematical book is the Euclides restitutus ('Euclid Restored') from 1658, in which Borelli offered a complete rewriting of Euclid's Elements . . . Borelli's Euclides is a masterwork in the foundations of mathematics, and arguably the most important treatise on the subject in the seventeenth century. In it, Borelli reformulated most of Euclid's definitions, modified and expanded the axioms, transformed a great many demonstrations in the Elements, and made in depth changes to the deductive structure of the classical treatise. Euclid's Elements had already been modified many times over the centuries and the text had always remained partially plastic and changeable. Through all these changes, however, the Elements had remained a classical text to which editors had added scholia and local amendments. In times closer to Borelli, such modifications had become bolder: Jesuits and Ramists had abridged the text for students, Aristotelians had reshaped some proofs into syllogistic chains, Herigone and Barrow had formalized the Elements with new symbolisms. None of them, however, had changed the mathematics of Euclid: the ideas behind the demonstrations and their deductive order had remained the same. By contrast, Borelli's book revolutionized the mathematical core of Euclid's work to such an extent that it could be doubted whether it was still Euclid's . . . Borelli had long surpassed Galileo and his contemporaries in both classicism and reformation. He extended the critical approach from the foundations of the theory of proportions to the whole of mathematics, and thus rewrote all of the Elements . . . Book V of Borelli's Euclides mixes together Euclid's theorems belonging to the second, fourth and thirteenth books of the Elements, adding something from the first, sixth and twelfth books. The order of the propositions is generally quite different from Euclid's sequences of the same books . . . These theorems are also interspersed with results from Archimedes, Ptolemy and Pappus. To hold together such a deductive sequence, Borelli also demonstrates therein ten new theorems. As a bonus, Borelli offered a wholly new proof of the important Elements XII.2 (circles are to each other as the squares of the diameters) avoiding the method of exhaustion, which Borelli found hopelessly obscure given its reference to the infinite" (Dr Risi, Euclid Upturned. Borelli on the Foundations of Geometry, Physis 58, 2022). Borelli (1608-79), a Neapolitan, spent the years 1656 to 1667 at the University of Pisa in the chair of mathematics, a period coinciding with the life of the Florentine Accademia del Cimento, of which Borelli was a founder member. In 1665 he established an observatory on the hill of San Miniato in Florence. RBH lists only three copies since 1961. Riccardi I, 157 ('raro'); Steck IV.50. 4to (218 x 153 mm), pp. [8], xxx, [2], 456, woodcut diagrams in text, woodcut initials (light browning and occasional light marginal dampstaining). Later limp vellum. A large copy with the deckle showing on many leaves.

First edition. THE FIRST TREATISE ON NON- EUCLIDEAN GEOMETRY . First edition, notoriously rare, of this ?masterpiece of eighteenth-century geometry? (De Risi, p. 40), ?the first treatise on non-Euclidean geometry ? this rare and inestimable treasure? (George Bruce Halstead). ?Today it is generally recognized by mathematicians as one of the important documents in the history of geometry? (Emch, p. 53). In it, Saccheri attempted to give a demonstration of the famous Parallel Postulate of Euclidean geometry. Proofs had been attempted since the time of the ancient Greeks, but ?Saccheri tried a wholly new way, and thus his book marks an epoch? (ibid.). The new way was to use the method of ?consequentia mirabilis? which Saccheri had studied in detail in his Logica demonstrativa (1697): assume the Parallel Postulate is false, make deductions from this assumption, and conclude that the Parallel Postulate must, in fact, be true (this method is closely related to, but distinct from, ?reductio ad absurdam?). Saccheri believed, incorrectly, that his Proposition XXXII led to such a contradiction. However, as the great Italian geometer Corrado Segre wrote: ?the first seventy pages, up to Proposition 32 inclusive, constitute an ensemble of logic and of geometric acumen which may be called perfect.? These pages, indeed, constitute essentially a textbook of non-Euclidean geometry, written a century before Bolyai and Lobachevsky. ?Saccheri did not find the supposed contradiction, as it was nowhere to be found, but he was unable to convince himself that the new geometry he had erected might in fact be a reasonable alternative to Euclid?s Elements rather than a green-eyed monster: consequently, he pointed to a contradiction of his own making ? This effort notwithstanding, the sacrilege, so to speak, had already been committed, and Saccheri?s outstanding achievements towards the construction of hyperbolic geometry, while disowned by their author and relegated to a book printed in quite few copies, sneaked into European mathematical culture and poisoned the minds of certain more acute, unprejudiced, or simply more modern geometers. One century after the Jesuit?s death, these scholars eagerly welcomed Saccheri?s ?monster? in their writings, thus celebrating the triumph of non-Euclidean geometry. Following this widespread story, Saccheri unwittingly (yet brilliantly) anticipated one of the most momentous conceptual revolutions in the genesis of contemporary mathematics? (De Risi, p. 4). The philosophical importance of non-Euclidean geometry was that it greatly clarified the relationship between mathematics, science and observation. Our present-day understanding of models of axioms, relative consistency and so on can all be traced back to the advent of non-Euclidean geometry. Before hyperbolic geometry was discovered, it was thought to be completely obvious that Euclidean geometry correctly described physical space, and attempts were even made, by Kant and others, to show that this was necessarily true. Gauss was one of the first to understand that the truth or otherwise of Euclidean geometry was a matter to be determined by experiment. Non-Euclidean geometry paved the way for Riemannian geometry, which in turn paved the way for Einstein's General Theory of Relativity. Saccheri?s work is divided into two Books. The first, Propositions I?XXXIX, is devoted to the Parallel Postulate. The second, now less well known, is a defence of the profound treatment of ratio and proportion in Book V of the Elements. Of this second part, Halsted writes: ?It shows again Saccheri?s wisdom, penetration and modernity.? In 1621 the Oxford scholar and mathematician Sir Henry Savile described the Parallel Postulate and the theory of proportion as ?two blemishes, two moles? spoiling Euclid?s ?beautiful body? Saccheri referred to Savile?s comments in the very title pf his book, Euclid vindicated from every blemish. OCLC lists 6 copies in the US (UC Berkeley, Brown, Columbia, Huntington, Indiana, Michigan). Library Hub lists BL and UCL. No copies listed on RBH, although the Stanhope-Halsted copy sold at Christie?s New York, 25 February 2003, $26,290. In about 300 BC Euclid wrote the Elements, a book which ?has exercised an influence upon the human mind greater than that of any other work except the Bible? (DSB). Euclid stated five postulates from which he deduced all the theorems and propositions in his work: To draw a straight line from any point to any other. To produce a finite straight line continuously in a straight line. To describe a circle with any centre and distance. That all right angles are equal to each other. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, if produced indefinitely, meet on that side on which are the angles less than the two right angles. Euclid was dissatisfied with the fifth postulate, also known as the Parallel Postulate, and he tried to avoid its use as long as possible. In fact, the first 28 propositions of The Elements are proved without using it, including results about congruence and the isosceles triangle theorem, but neither of the most famous results of Euclidean geometry, that the angle sum of a triangle is ? (180?), and Pythagoras?s theorem. Because the parallel postulate is not transparently true, attempts were made to deduce it from the first four axioms. There were many such attempts. There is a lost work of Archimedes that was titled ?On Parallel Lines? It is conjectured by some that in it Archimedes replaced Euclid?s Parallel Postulate with one stating that two lines are parallel if and only if the distance between them is constant (this is equivalent to the postulate stated above in the presence of the other Euclidean axioms). The Syrian mathematician Posidonius attempted a proof of the Parallel Postulate based on such an assumption. Ptolemy also tried to prove the Postulate. He did not use the equidistant assumption, but he ass.

Special binding. Condition: Very good copy. 8vo. S.P. Continúa del título: Obra postuma de Sacalo a luz Doña Maria Theresa Aylguardo y Zamora, Viuda del Author. "YES, THERE ARE 18TH CENTURY MATH BOOKS WITH LUXURIOUS BINDINGS! NO COPIES IN US LIBRARIES". Con licencia en Sevilla, Impresso en el Puerto de Santa Maria (Cádiz), Francisco Rioja, 1747. Fine 19th century blue velvet binding; ex libris: Biblioteca de Ramirez de Arellano. Although Palau does not mention plates, CCPBE describes a copy with 5 folded tables. Our copy seems to have been bound without plates. FIRST EDITION OF THIS RARE MATHEMATICAL TREATISE, CURIOUSLY HOUSED IN A FINE VELVET BINDING. The author, a Lieutenant of the Royal Navy, a mathematics teacher at the Royal Academy of Gentleman's Marine Guards in the city of Cádiz, had great merit, as he solves a hitherto unresolved problem in the Sixth Book of Euclid. About the Sixth Book of Euclid (yes, we used Google for this!): Book VI of Euclid's "The Elements' contains the Eudoxian theory of the proposition to plane geometry. The fundamental theorems of similar triangles and the constructions of the third, the fourth and the proportional mean are established. A geometric solution to the quadratic equations is established and the proposition that the internal bisector of the angle of a triangle divides the opposite side into two segments proportional to the other two sides. Palau 156182 (did not see a copy). WorldCat: no copies in US Libraries.

México, chez l'auteur, 31 décembre 1967. 1 feuillet recto verso, 38,5 x 50 cm, E.O. Infime déchirure sans manque sur 3 mm sans manque, sinon bon état. Affiche imprimée en noir et rouge, en typographie. El Correo de Euclides a été publié à petit nombre par Max Aub à l'intention exclusive de ses amis dont Juan Larrea et Luis Bunuel, entre 1959 et 1968. Au recto l'auteur écrit : Max Aub le envía este cuento extraordinario deseándole felices y tranquilas vacaciones (Max Aub vous envoie ce récit extraordinaire en vous souhaitant de joyeuses et paisibles vacances).

México, chez l'auteur, 31 décembre 1965. 1 feuillet recto verso, 38,5 x 50 cm, E.O. Deux infimes déchirures du bord sans manque, sinon bon état. Affiche imprimée en noir et rouge, en typographie. El Correo de Euclides a été publié à petit nombre par Max Aub à l'intention exclusive de ses amis dont Juan Larrea et Luis Buñuel, entre 1959 et 1968.

México, chez l'auteur, 31 décembre 1963. 1 feuillet recto verso, 38,5 x 50 cm, E.O. Deux infimes déchirures avec un manque de 3 mm et une déchirure sur 10 cm sans manque, sinon bon état. Affiche imprimée en noir et rouge, en typographie. El Correo de Euclides a été publié à petit nombre par Max Aub à l'intention exclusive de ses amis dont Juan Larrea et Luis Bunuel, entre 1959 et 1968.

México, chez l'auteur, 31 décembre 1963. 1 feuillet, 38,5 x 50 cm, E.O. Quelques petites déchirures sans manque, sinon bon état. Affiche imprimée en noir et rouge, en typographie. El Correo de Euclides a été publié à petit nombre par Max Aub à l'intention exclusive de ses amis dont Juan Larrea et Luis Buñuel, entre 1959 et 1968.