The Greek astronomer and geometrician Apollonius of Perga (c.262-c.190 BCE) produced pioneering written work on conic sections in which he demonstrated mathematically the generation of curves and their fundamental properties. His innovative terminology gave us the terms 'ellipse', 'hyperbola' and 'parabola'. The Danish scholar Johan Ludvig Heiberg (1854-1928), a professor of classical philology at the University of Copenhagen, prepared important editions of works by Euclid, Archimedes and Ptolemy, among others. Published between 1891 and 1893, this two-volume work contains the definitive Greek text of the first four books of Apollonius' treatise together with a facing-page Latin translation. (The fifth, sixth and seventh books survive only in Arabic translation, while the eighth is lost entirely.) Volume 1 contains the first three books, with the editor's introductory matter in Latin.

Apollonii Pergaei quae Graece exstant cum commentariis antiquis: Volume 1 (Cambridge Library Collection - Classics)

Politics & Social Sciences

Heiberg, Johan Ludvig

Apollonius, Of Perga

Philosophy

Cambridge University Press

The Greek astronomer and geometrician Apollonius of Perga (c.262-c.190 BCE) produced pioneering written work on conic sections in which he demonstrated mathematically the generation of curves and their fundamental properties. His innovative terminology gave us the terms 'ellipse', 'hyperbola' and 'parabola'. The Danish scholar Johan Ludvig Heiberg (1854-1928), a professor of classical philology at the University of Copenhagen, prepared important editions of works by Euclid, Archimedes and Ptolemy, among others. Published between 1891 and 1893, this two-volume work contains the definitive Greek text of the first four books of Apollonius' treatise together with a facing-page Latin translation. (The fifth, sixth and seventh books survive only in Arabic translation, while the eighth is lost entirely.) Volume 2 contains the fourth book in addition to other Greek fragments and ancient commentaries, notably that of Eutocius, as well as the editor's Latin prolegomena comparing the various manuscript sources.

Apollonii Pergaei quae Graece exstant cum commentariis antiquis: Volume 2 (Cambridge Library Collection - Classics)

The Greek astronomer and geometrician Apollonius of Perga (c.262-c.190 BCE) produced pioneering written work on conic sections in which he demonstrated mathematically the generation of curves and their fundamental properties. His innovative terminology gave us the terms 'ellipse', 'hyperbola' and 'parabola'. The Danish scholar Johan Ludvig Heiberg (1854-1928), a professor of classical philology at the University of Copenhagen, prepared important editions of works by Euclid, Archimedes and Ptolemy, among others. Published between 1891 and 1893, this two-volume work contains the definitive Greek text of the first four books of Apollonius' treatise together with a facing-page Latin translation. (The fifth, sixth and seventh books survive only in Arabic translation, while the eighth is lost entirely.) Volume 1 contains the first three books, with the editor's Latin introductory matter. Volume 2 contains the fourth book in addition to other Greek fragments and ancient commentaries, notably that of Eutocius.

Apollonii Pergaei quae Graece exstant cum commentariis antiquis 2 Volume Set (Cambridge Library Collection - Classics)

Active in Alexandria in the third century BCE, Apollonius of Perga ranks as one of the greatest Greek geometers. Building on foundations laid by Euclid, he is famous for defining the parabola, hyperbola and ellipse in his major treatise on conic sections. The dense nature of its text, however, made it inaccessible to most readers. When it was originally published in 1896 by the civil servant and classical scholar Thomas Little Heath (1861-1940), the present work was the first English translation and, more importantly, the first serious effort to standardise the terminology and notation. Along with clear diagrams, Heath includes a thorough introduction to the work and the history of the subject. Seeing the treatise as more than an esoteric artefact, Heath presents it as a valuable tool for modern mathematicians. His works on Diophantos of Alexandria (1885) and Aristarchus of Samos (1913) are also reissued in this series.

Treatise on Conic Sections: Edited in Modern Notation with Introductions, Including an Essay on the Earlier History of the Subject (Cambridge Library Collection - Mathematics)

Science & Math

Mathematics

The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars. Medical theory and practice of the 1700s developed rapidly, as is evidenced by the extensive collection, which includes descriptions of diseases, their conditions, and treatments. Books on science and technology, agriculture, military technology, natural philosophy, even cookbooks, are all contained here. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ British Library T113499 A reconstruction of Apollonius of Perga's lost 'De tactionibus'. Cambridge: printed by T. Fletcher and F. Hodson: sold by Messrs. Whiston and White, Davis and Reymers, Nourse, Payne, Wilson and Fell, London; and Jackson at Oxford, 1764. vii, 1],17, 1]p.; 4

The Two Books of Apollonius Pergæus, Concerning Tangencies, as They Have Been Restored by Franciscus Vieta and Marinus Ghetaldus. with a Supplement. by John Lawson, B.D.

Medical Books

History

Gale ECCO, Print Editions

Apollonii Pergæi Conicorum libri octo, et Sereni Antissensis De sectione cylindri & coni libri duo. (Latin Edition)

Apollonii Pergæi inclinationum libri duo. Restituebat Samuel Horsley, ... (Latin Edition)

Excerpt from Appolonius of Perga, Treatise on Conic Sections: Edited in Modern Notation With Introductions Including an Essay on the Earlier History of the SubjectAgain, the form of the propositions is an additional difficulty, because the reader finds in them none of the ordinary aids towards the comprehension of somewhat complicated geometrical work, such as the conventional appropriation, in modem text-books, of definite letters to denote particular points on the various conic sections. On the contrary, the enunciations of propositions which, by the aid of a notation once agreed upon, can now be stated in a few lines, were by Apollonius invariably given in words like the enunciations of Euclid. These latter are often sufficiently unwieldy; but the inconvenience is greatly intensified in Apollonius, where the greater complexity of the conceptions entering into the investigation of conics, as compared with the more elementary notions relating to the line and circle, necessitates in many instances an enunciation extending over a space equal to (say) half a page of this book. Hence it is often a matter of considerable labour even to grasp the enunciation of a proposition. Further, the propositions are, with the exception that separate paragraphs mark the formal divisions, printed continuously; there are no breaks for the purpose of enabling the eye to take in readily the successive steps in the demonstration and so facilitating the comprehension of the argument as a whole. There is no uniformity of notation, but in almost every fresh proposition a different letter is employed to denote the same point: what wonder then if there are the most serious obstacles in the way of even remembering the results of certain propositions? Nevertheless these propositions, though unfamiliar to mathematicians of the present day, are of the very essence of Apollonius' system, are being constantly used, and must therefore necessarily be borne in mind.

Treatise on Conic Sections: Edited in Modern Notation, With Introductions Including an Essay on the Earlier History of the Subject (Classic Reprint)

Forgotten Books

The two Books of Apollonius Pergæus, Concerning Tangencies, as They Have Been Restored by Franciscus Vieta and Marinus Ghetaldus. With a Supplement. By John Lawson, B.D

The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.Medical theory and practice of the 1700s developed rapidly, as is evidenced by the extensive collection, which includes descriptions of diseases, their conditions, and treatments. Books on science and technology, agriculture, military technology, natural philosophy, even cookbooks, are all contained here.++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++Bodleian Library (Oxford)T174998A reconstruction of Apollonius of Perga's lost 'De tactionibus'.London: printed by G. Bigg, successor to D. Leach. And sold by B. White; L. Davis, J. Nourse; and T. Payne, 1771. vii, [1],29, [1]p., plates; 4°

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Books by Apollonius, Of Perga

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Apollonii Pergaei quae Graece exstant cum commentariis antiquis: Volume 1 (Cambridge Library Collection - Classics)

Apollonii Pergaei quae Graece exstant cum commentariis antiquis: Volume 2 (Cambridge Library Collection - Classics)

Apollonii Pergaei quae Graece exstant cum commentariis antiquis 2 Volume Set (Cambridge Library Collection - Classics)

Treatise on Conic Sections: Edited in Modern Notation with Introductions, Including an Essay on the Earlier History of the Subject (Cambridge Library Collection - Mathematics)

The Two Books of Apollonius Pergæus, Concerning Tangencies, as They Have Been Restored by Franciscus Vieta and Marinus Ghetaldus. with a Supplement. by John Lawson, B.D.

Apollonii Pergæi Conicorum libri octo, et Sereni Antissensis De sectione cylindri & coni libri duo. (Latin Edition)

Apollonii Pergæi inclinationum libri duo. Restituebat Samuel Horsley, ... (Latin Edition)

Treatise on Conic Sections: Edited in Modern Notation, With Introductions Including an Essay on the Earlier History of the Subject (Classic Reprint)

The two Books of Apollonius Pergæus, Concerning Tangencies, as They Have Been Restored by Franciscus Vieta and Marinus Ghetaldus. With a Supplement. By John Lawson, B.D

The two Books of Apollonius Pergæus, Concerning Tangencies, as They Have Been Restored by Franciscus Vieta and Marinus Ghetaldus. With a Supplement. By John Lawson, B.D