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11517 results in Ancient philosophy

Page 230 of 576

Archimedis Opera Omnia
  • Volume 1
  • Archimedes
  • Edited by Johan Ludvig Heiberg
  • Published online:
    05 March 2014
    Print publication:
    18 April 2013
  • Published in 1880–1, this three-volume edition of the extant works of the Greek mathematician Archimedes of Syracuse (c.287–c.212 BCE) was edited by the Danish philologist and historian Johan Ludvig Heiberg (1854–1928), whose Quaestiones Archimedeae (1879) is also reissued in this series. He later discovered a medieval palimpsest containing lost works by Archimedes, which significantly expanded the canon, but the present collection was produced long before this and therefore contains the works known at the time of publication. Heiberg consulted a Florentine codex, which he painstakingly compared with other sources to produce his edition. This first volume contains On the Sphere and the Cylinder (in two books), On the Measurement of a Circle and On Conoids and Spheroids. The texts are given in the original Greek with parallel Latin translation, notes and introductory material.

Archimedis Opera Omnia
  • Volume 2
  • Archimedes
  • Edited by Johan Ludvig Heiberg
  • Published online:
    05 March 2014
    Print publication:
    18 April 2013
  • Published in 1880–1, this three-volume edition of the extant works of the Greek mathematician Archimedes of Syracuse (c.287–c.212 BCE) was edited by the Danish philologist and historian Johan Ludvig Heiberg (1854–1928), whose Quaestiones Archimedeae (1879) is also reissued in this series. He later discovered a medieval palimpsest containing lost works by Archimedes, which significantly expanded the canon, but the present collection was produced long before this and therefore contains the works known at the time of publication. Heiberg consulted a Florentine codex, which he painstakingly compared with other sources to produce his edition. This second volume contains On Spirals, On the Equilibrium of Planes, The Sand Reckoner, The Quadrature of the Parabola, On Floating Bodies, the Liber Assumptorum (now thought to be apocryphal), the cattle problem and fragments. The texts are given in the original Greek with parallel Latin translation, notes and introductory material.

Apollonii Pergaei quae Graece exstant cum commentariis antiquis
  • Volume 1
  • Apollonius of Perga, Johan Ludvig Heiberg
  • Published online:
    05 March 2014
    Print publication:
    27 June 2013
    First published in:
    1891
  • 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 2
  • Apollonius of Perga, Johan Ludvig Heiberg
  • Published online:
    05 March 2014
    Print publication:
    27 June 2013
    First published in:
    1893
  • 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.

Page 230 of 576