Philo of Byzantium
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Philo of Byzantium (Ancient Greek: Φίλων ο Βυζάντιος, ca. 280 BCE - ca. 220 BCE), also known as Philo Mechanicus, a Greek writer on mechanics, flourished during the latter half of the 2nd century B.C. He was probably younger than Ctesibius, though some place him a century earlier.
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[edit] Life and works
Philo was the author of a large work, Mechanike syntaxis (Compendium of Mechanics), which contained the following sections:
- Isagoge - an introduction to mathematics.
- Mochlica - on general mechanics.
- Limenopoeica - on harbour building.
- Belopoeica - on artillery.
- Pneumatica - on devices operated by air or water pressure.
- Automatiopoeica - on mechanical toys and diversions.
- Poliorcetica - on siegecraft
- Peri Epistolon - on secret letters
The military sections Belopoeica and Poliorcetica are extant in Greek, detailing missiles, the construction of fortresses, provisioning, attack and defence, as are fragments of Isagoge and Automatiopoeica (ed. R. Schone, 1893, with German translation in Hermann August Theodor Köchly's Griechische Kriegs-schriftstelle, vol. i. 1853; E. A. Rochas d'Aiglun, Poliorcetique des Grecs, 1872).
Another portion of the work, on pneumatic engines, has been preserved in the form of a Latin translation (De ingeniis spiritualibus) made from an Arabic version (ed. W. Schmidt, with German translation, in the works of Heron of Alexandria, vol. i., in the Teubner series, 1899; with French translation by Rochas, La Science des philosophes... dans l'antiquité, 1882). Further portions probably survive in a derivative form, incorporated into the works of Vitruvius and of Arabic authors.
The Philo line, a geometric construction that can be used to double the cube, is attributed to Philo.
The treatise De septem mundi miraculis, on the Seven Wonders of the World, wrongly attributed to Philo, probably belongs to the 6th century A.D. It is printed in R. Hercher's edition of Aelian (Teubner, 1858).
[edit] Devices
According to recent research, a section of Philo's Pneumatics which has so far has been regarded as a later Arabic interpolation, includes the first description of a water mill in history,[1] placing the invention of the water mill in the mid-third century B.C. by the Greeks.[2]
Philo may have also invented an endless drive in a magazine arcuballista, which did not transmit power continuously though.[3]
[edit] Mathematics
In mathematics, Philo tackled the problem of doubling the cube. The doubling of the cube was necessitated by the following problem, given a catapult, construct a second catapult that is capable of firing a projectile twice as heavy as the projectile of the first catapult. His solution was to find the point of intersection of a rectangular hyperbola and a circle, a solution that is similar to Heron's solution several centuries later.
[edit] See also
[edit] Notes
[edit] References
- Needham, Joseph (1986). Science and Civilization in China: Volume 4, Part 3. Taipei: Caves Books, Ltd.
- T L Heath, A history of Greek mathematics I, II (Oxford, 1931).
[edit] External links
- O'Connor, John J. & Robertson, Edmund F., “Philo of Byzantium”, MacTutor History of Mathematics archive
- Shockwave-Animation: Philons "Bird and snake"