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Philo of Byzantium

 

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Philo of Byzantium



 
 
Philo of Byzantium , also known as Philo Mechanicus, a Greek
Greeks

The Greeks , also known as Hellenes, are a nation and ethnic group native to Greece, Cyprus and neighbouring regions, who can also be found in Greek diaspora communities around the world....
 writer
Writer

A writer is anyone who creates a written work, although the word usually designates those who write creatively or professionally, as well as those who have written in many different forms....
 on mechanics
Mechanics

Mechanics is the branch of physics concerned with the behaviour of physical body when subjected to forces or Displacement , and the subsequent effect of the bodies on their environment....
, flourished during the latter half of the 2nd century B.C. He was probably younger than Ctesibius
Ctesibius

Ctesibius or Ktesibios or Tesibius was a Ancient Greece inventor and mathematician in Alexandria, Ptolemaic Egypt. He wrote the first treatises on the science of compressed air and its uses in pumps ....
, though some place him a century earlier.

o was the author of a large work, Mechanike syntaxis (Compendium of Mechanics), which contained the following sections:

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.






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Philo of Byzantium , also known as Philo Mechanicus, a Greek
Greeks

The Greeks , also known as Hellenes, are a nation and ethnic group native to Greece, Cyprus and neighbouring regions, who can also be found in Greek diaspora communities around the world....
 writer
Writer

A writer is anyone who creates a written work, although the word usually designates those who write creatively or professionally, as well as those who have written in many different forms....
 on mechanics
Mechanics

Mechanics is the branch of physics concerned with the behaviour of physical body when subjected to forces or Displacement , and the subsequent effect of the bodies on their environment....
, flourished during the latter half of the 2nd century B.C. He was probably younger than Ctesibius
Ctesibius

Ctesibius or Ktesibios or Tesibius was a Ancient Greece inventor and mathematician in Alexandria, Ptolemaic Egypt. He wrote the first treatises on the science of compressed air and its uses in pumps ....
, though some place him a century earlier.

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
    Mathematics

    Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
    .
  • Mochlica - on general mechanics
    Mechanics

    Mechanics is the branch of physics concerned with the behaviour of physical body when subjected to forces or Displacement , and the subsequent effect of the bodies on their environment....
    .
  • Limenopoeica - on harbour building.
  • Belopoeica - on artillery
    Artillery

    Artillery is a military Combat Arms which employs any apparatus, machine, an assortment of tools or instruments, a system or systems used as weapons for the discharge of large projectiles in combat as a major contribution of fire power within the overall military capability of an armed force....
    .
  • 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
Vitruvius

File:Vitruvius.jpgMarcus Vitruvius Pollio was a Ancient Rome writer, architect and engineer , active in the 1st century BC. By his own description Vitruvius served as a Ballista , the third class of arms in the military offices....
 and of Arabic authors.

The Philo line
Philo line

In geometry, the Philo line is a line segment defined from an angle and a point . The Philo line for a point P that lies inside an angle with edges d and e is the shortest line segment that passes through P and has its endpoints on d and e....
, a geometric construction that can be used to double the cube
Doubling the cube

Doubling the cube is one of the three most famous geometry problems unsolvable by compass and straightedge construction. It was known to the Egyptian mathematics, Greek mathematics, and Indian mathematics....
, is attributed to Philo.

The treatise De septem mundi miraculis, on the Seven Wonders of the World, attributed to Philo of Byzantium, but probably belongs to the 6th century A.D. It is printed in R. Hercher's edition of Aelian (Teubner, 1858).

Devices

According to recent research, a section of Philo's Pneumatics which so far has been regarded as a later Arabic interpolation, includes the first description of a water mill in history, placing the invention of the water mill in the mid-third century B.C. by the Greeks.

Philon's works also contain the oldest known application of a chain drive in a repeating crossbow
Repeating crossbow

A repeating crossbow is a crossbow where the separate actions of stringing the bow, placing the Quarrel and shooting it can be accomplished with a simple one-handed movement, all the while keeping the crossbow stationary....
. Two flat-linked chains were connected to a windlass
Windlass

A windlass is an apparatus for moving heavy weights. Typically, a windlass consists of a horizontal cylinder , which is rotated by the turn of a crank or belt....
, which by winding back and forth would automatically fire the machine's arrows until its magazine was empty.

Philon also was the first to describe a gimbal
Gimbal

A gimbal is a pivoted support that allows the rotation of an object about a single axis. A set of two gimbals, one mounted on the other with pivot axes orthogonal, may be used to allow an object mounted on the innermost gimbal to remain immobile regardless of the motion of its support....
: an eight-sided ink
Ink

An ink is a liquid containing various pigments and/or dyes used for coloring a surface to produce an , writing, or design. Ink is used for drawing and/or writing with a pen, brush or quill....
 pot with an opening on each side could be turnt so that any face is on top, dip in a pen and ink it-yet the ink never runs out through the holes of the side. This was done by the suspension of the inkwell at the center, which was mounted on a series of concentric metal rings which remained stationary no matter which way the pot turns itself.

Mathematics

In mathematics, Philo tackled the problem of doubling the cube
Doubling the cube

Doubling the cube is one of the three most famous geometry problems unsolvable by compass and straightedge construction. It was known to the Egyptian mathematics, Greek mathematics, and Indian mathematics....
. 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
Hyperbola

In mathematics a hyperbola is a smooth function planar curve having two connected components or branches, each a mirror image of the other and resembling two infinite bow aimed at each other....
 and a circle
Circle

A circle is a simple shape of Euclidean geometry consisting of those point in a plane which are the same distance from a given point called the center....
, a solution that is similar to Heron's
Hero of Alexandria

Hero of Alexandria . was an ancient Greek mathematics who was a resident of a Roman province ; he was also an engineer who was active in his hometown of Alexandria....
 solution several centuries later.

See also

  • Chain pump


External links