Best known for his 1906 discovery of lost texts in the Archimedes Palimpsest, Danish scholar Johan Ludvig Heiberg (1854 1928), professor of classical philology at Copenhagen, published numerous editions of ancient mathematicians, including Archimedes and Apollonius of Perga (also reissued in this series). Between 1898 and 1907, he published in three parts the extant astronomical works of Ptolemy, active in second-century Alexandria. The Ptolemaic system, his geocentric model of the universe, prevailed in the Islamic world and in medieval Europe until the time of Copernicus. This second part of Volume 1, published in 1903, contains a brief Latin preface and the Greek text of Books 7-13 of Ptolemy's major astronomical treatise, known as the Almagest. It demonstrates how to use astronomical observations to construct cosmological models and includes tables that make it possible for celestial phenomena to be calculated for arbitrary dates."

Best known for his 1906 discovery of lost texts in the Archimedes Palimpsest, Danish scholar Johan Ludvig Heiberg (1854 1928), professor of classical philology at Copenhagen, published numerous editions of ancient mathematicians, including Archimedes and Apollonius of Perga (also reissued in this series). Between 1898 and 1907, he published in three parts the extant astronomical works of Ptolemy, active in second-century Alexandria. The Ptolemaic system, his geocentric model of the universe, prevailed in the Islamic world and in medieval Europe until the time of Copernicus. Volume 2, published in 1907, contains a brief preface and a substantial prolegomena in Latin, followed by the Greek text of Ptolemy's shorter astronomical works, including Phaeis aplanon asteron, a treatise on the phenomena of the fixed stars, and Hypotheseis ton planomenon, his planetary hypotheses representing the most influential statement of his geocentric model, provided here with a facing-page translation into German."

Best known for his 1906 discovery of lost texts in the Archimedes Palimpsest, Danish scholar Johan Ludvig Heiberg (1854 1928), professor of classical philology at Copenhagen, published numerous editions of ancient mathematicians, including Archimedes and Apollonius of Perga (also reissued in this series). Between 1898 and 1907, he published in three parts the extant astronomical works of Ptolemy, active in second-century Alexandria. The Ptolemaic system, his geocentric model of the universe, prevailed in the Islamic world and in medieval Europe until the time of Copernicus. This first part of Volume 1, published in 1898, contains a brief Latin preface and the Greek text of Books 1-6 of Ptolemy's major astronomical treatise, known as the Almagest. It demonstrates how to use astronomical observations to construct cosmological models and includes tables that make it possible for celestial phenomena to be calculated for arbitrary dates."

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.

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.

Published in 1879, this Latin dissertation was the first substantial work on Archimedes by the Danish philologist and historian Johan Ludvig Heiberg (1854-1928), who the following year embarked on editing the three-volume Archimedis Opera Omnia (also reissued in this series). Much later, in 1906, he discovered a palimpsest containing previously unknown works by the Greek mathematician. The Quaestiones includes chapters on the life of the famous scientist of Syracuse, a discussion of his works and explanations of his mathematical and scientific ideas, as well as a survey of the extant codices known to the author. It also contains the Greek text, edited and annotated by Heiberg, of Archimedes' Psammites (The Sand Reckoner), a mathematical enquiry into how many grains of sand would fit in the universe. This includes mention of a heliocentric solar system, speculation about the size of the Earth, and Archimedes' other views on astronomy.

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 third volume contains the editor's Latin prolegomena - his own extended essay on the works of Archimedes - followed by the commentaries on Archimedes by Eutocius of Ascalon (c.480-c.540) and indexes. The texts are given in the original Greek with parallel Latin translation, notes and introductory material.

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.

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.