ArticleslgStudy

engineering

Philo of Byzantium

Philo of Byzantium is a engineering topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Philo of Byzantium rather than just read about it. In short: Philo of Byzantium (Ancient Greek: Φίλων ὁ Βυζάντιος, romanized: Phílōn ho Byzántios, c. 280 BC – c. 220 BC), also known as Philo Mechanicus, 'Philo the Engineer' in Latin, was a Greek engineer, physicist and writer on mechanics, who lived during the latter half of the 3rd century BC. Although he was from Byzantium he lived most of his life in Alexandria, Egypt.

Key takeaways

  • Philo of Byzantium belongs to engineering; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Philo of Byzantium to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Philo of Byzantium from memory before moving on to harder problems.

Reference excerpt

Philo of Byzantium (Ancient Greek: Φίλων ὁ Βυζάντιος, romanized: Phílōn ho Byzántios, c. 280 BC – c. 220 BC), also known as Philo Mechanicus, 'Philo the Engineer' in Latin, was a Greek engineer, physicist and writer on mechanics, who lived during the latter half of the 3rd century BC. Although he was from Byzantium he lived most of his life in Alexandria, Egypt. He was probably younger than Ctesibius, though some place him a century earlier.

Works Philo was the author of a large work, the Syntaxis (Ancient Greek: Μηχανική Σύνταξη, romanized: Mēkhanikḗ Sýntaxē, lit. 'System of mechanics'), which contained the following sections:

Isagoge (Εἰσαγωγή, Eisagōgḗ, 'Introduction'; general mathematics) Mochlica (Μοχλικά, Mokhliká, 'Concerning Leverage'; mechanics) Limenopoeica (Λιμενοποιικά, Limenopoiiká, 'Harbour Construction') Belopoeica Βελοποιικά, Belopoiiká, 'Siege Engine Construction') Pneumatica (Πνευματικά, Pneumatiká, 'Pneumatics') Automatopoeica (Αὐτοματοποιητικά, Automatopoiētiká, 'Construction of Automatons'; mechanical toys and diversions) Parasceuastica (Παρασκευαστικά, Paraskeuastiká, 'Preparations'; for sieges) Poliorcetica (Πολιορκητικά, Poliorkētiká, 'Siegecraft') Peri Epistolon (Περὶ Ἐπιστολῶν, Perì Epistolō̂n, 'On Correspondence'; on coding and hidden letters for military use) 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 Automatopoeica (ed. R. Schone, 1893, with German translation in Hermann August Theodor Köchly's Griechische Kriegsschriftsteller, 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) of an Arabic translation (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.

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 BC by the Greeks. Philo's works also contain the oldest known application of a chain drive in a repeating crossbow. Two flat-linked chains were connected to a windlass, which by winding back and forth would automatically fire the machine's arrows until its magazine was empty. Philo also was the first to describe a gimbal: an eight-sided ink pot that could be turned any way without spilling and expose the ink on top. This was done by the suspension of the inkwell at the centre, which was mounted on a series of concentric metal rings which remained stationary no matter which way the pot turns. In his Pneumatics (chapter 31) Philo describes an escapement mechanism, the earliest known, as part of a washstand. A counterweighted spoon, supplied by a water tank, tips over in a basin when full releasing a pumice in the process. Once the spoon has emptied, it is pulled up again by the counterweight, closing the door on the pumice by the tightening string. Remarkably, Philo's comment that "its construction is similar to that of clocks" indicates that such escapements mechanism were already integrated in ancient water clocks. He is also credited with the construction of the first thermoscope (or Philo thermometer), an early version of the thermometer.

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 the solution given by Hero of Alexandria several centuries later.

Apocrypha A treatise titled "Seven Wonders of the World" (Περὶ τῶν Ἑπτὰ Θεαμάτων, Perì tō̂n Heptà Theamátōn) is sometimes attributed to this Philo but more probably belongs to a different Philo of Byzantium, distinguished as Philo the Paradoxographer, who lived in a much later date, probably the 4th–5th century AD. It is printed in R. Hercher's edition of Aelian (Paris: Firmin Didot, 1858); an English translation by Jean Blackwood is included as an appendix in The Seven Wonders of the World by Michael Ashley (Glasgow: Fontana Paperbacks, 1980).

See also Chain pump William M. Murray, The Age of Titans – the rise and fall of the great Hellenistic navies. New York, Oxford University Press, 2012. Appenedix E: Book V of Philo's Compendium of Mechanics – The Naval Sections (translated to English), pp. 282–301 .

Notes

References

External links Animation: Philons "Bird and snake" O'Connor, John J.; Robertson, Edmund F., "Philo of Byzantium", MacTutor History of Mathematics Archive, University of St Andrews English translation of 'The Seven Wonders of the World' The works of Philo of Byzantium in Greek at Eulogikon Open Archive and Library

Worked examples

Example 1 — a first encounter with Philo of Byzantium

Start with the simplest possible case. Write down what Philo of Byzantium claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In engineering, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Philo of Byzantium before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Philo of Byzantium ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Philo of Byzantium

In research
Philo of Byzantium appears in engineering research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Philo of Byzantium in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Philo of Byzantium is common in secondary-school and first-year university syllabi. It links to neighbouring topics 220s BC deaths, 280s BC births, 3rd-century BC Greek writers, so understanding it makes those chapters shorter.
In everyday life
Look for Philo of Byzantium outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Philo of Byzantium” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Philo of Byzantium in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Philo of Byzantium means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Philo of Byzantium out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Philo of Byzantium in simple terms?

Philo of Byzantium (Ancient Greek: Φίλων ὁ Βυζάντιος, romanized: Phílōn ho Byzántios, c. 280 BC – c. 220 BC), also known as Philo Mechanicus, 'Philo the Engineer' in Latin, was a Greek engineer, physicist and writer on mechanics, who lived during the latter half of the 3rd century BC. Although he w…

Why does Philo of Byzantium matter?

Because it connects several engineering ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Philo of Byzantium?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Philo of Byzantium.

Tags

  • 220s BC deaths
  • 280s BC births
  • 3rd-century BC Greek writers
  • Ancient Byzantines
  • Ancient Greek inventors
  • Ancient Greek military engineers
  • Ancient Greek military writers
  • Ancient Greek physicists
  • Ancient Greek science writers
  • Hellenistic military engineers

Keep exploring