Archimedes Sources

(In Preparation)

Athenaeus of Naucratis

In his Deipnosophistae Athenaeus describes the giant ship Syracusia, war machines of Archimedes, the pump of Archimedes

Athenaeus Deipnosophistae 206d - 209 e, C Gulick , Loeb , Vol II, 432-446

Amianus Marcellinus

Greek historian from Antiocheia, fl. 350-400 AD, Histories, written in Latin. According to Marcellinus Archimedes estimated the length of a year. Ammianus Marcellinus, Historiae, XXVI, 1, 8, J.C. Rolfe (Loeb) 1856 Vol II, p. 570

Ammonius

Anthemius of Tralles

With Isidorus of Miletus an architect of Hagia Sophia writes that it is possible to burn ships with mirrors at a distance larger than the arrow range

Ant. Westermann Brunsvigae 1839, p. 152, 153, 156
Fragmentum Mathematicum Bobiense, Anthemius of Tralles, A study in later Greek Geometry,
Huxley, Cambridge Mass. 1959 p. 56

Apulius

Ausonius

Decimus Magnus Ausonius, Poet, 310-394 AD. Writes about the Stomachion

Ausonius Opuscula XVII Cento Nuptialis, H. White, Loeb, 1961, p. 374

Claudius Claudianus

The Roman poet of the 4th AD century writes about the planetarium of Archimedes which is made of glass and thus breaks easy.

Claudius Claudianus, Carminum minorum Corpusc LI (LXVIII) M. Platnauer , Loeb, 1963 Vol. II p. 278

Victorinus Marius

Vitruv

Velmmydes Nikiforos

Julius Firmicus Maternus

In Mathesis he writes about the Planetarium of Archimedes and the use of his devices against the Romans during the Siege of Syracuse

Julius Firmicus, Mathesis VI , W. Kroll, F. Skutsch, K. Ziegler, Lipsiae 1913, p. 148

Galen

Galen the physician mentions in Peri Kraseon, "De temperamentis" the burning of ships by mirrors of Archimedes (Med. Graec. Opera, C. Kuhn, Lipsiae)

Diodorus Siculus

Diophant

Dio Cassius

Dio Cassius Historia Romana XV, E Caey (Loeb), describes the siege of Syracuse and the war machines of Archimedes , the burning of the Roman ships and the death of Archimedes. From the 80 books 25 survived (36-60) others are indirect partially known for example from Xiphilinus and Zonaras

Eustathius

Eutocius of Ascalon

Ioannes Zonaras

Heron of Alexandria

Theon of Alexandria

Theon of Smyrna

Description of the approximation of the number PI and the cylinder and inscribed sphere volume relation. Theon Smyrnaeus, Exp. Rer. Mathem. E. Hiller, Lipsiae

Caesius Bassus

The Stomachion was mentioned by Caesius Bassus, a Roman poet, in his work "De metris". The combinatorial Game was played by children as it was supporting their memory. (H. Keil, Grammatici Latini, Volume VI Hildesheim 1961)

Hippolytus

Isidore of Miletus

He is considered to have translated the work Peri sfairas kai kylindrou, a, b (sphere and cylinder), Kyklou metrisis , Problima voeikon (cattle problem), Stomachion, Peri ton mihanikon theorimaton pros Eratostheni efodis (Method) from Doric into the Attic dialect.

Cicero

Lactantius

Describes the Planetarium of Archimedes, Divinarum Instituitionum , Samuel Brandt, Prapae-Vindobonae-Lipsiae, 1890

Livius Titus

Lucian

Lucian, in Ippias i Balaneion (Hippias seu Balneum) mentions the burning of the Roman ships by the technique of Archimedes. A. M. Harmon , Loeb , 1953

Macrobius Ambrosius Theodosius

Writes that Archimedes estimated the distances to the stars in Commentarionum in Somnium Scipionis

L. Janus, Quedlingurgi - Lipsiae 1848, Book I Ch. XIX p. 102 and Book II, Ch. III, p. 147

Martianus Capella

In De nuptiis Philologiae et Mercurii he writes about Plato and Archimedes moving golden spheres (Planetaria). The planetaria are mentioned also in De Geometria.

In De Astronomia he writes that Archimedes estimated the perimeter of the Earth as 406000 stadia

De nuptiis Philologiae et Mercurii, II p. 212
De Geometria VI p. 585/6
De Astronomia VII, p. 858
Ad. Dick, Lipsiae 1825

Theodoros Metochites

A byzantinian politician (Megas Logothetis), monk, author, mentions the work of Plutarch the life of Marcellus. He praises Archimedes genius especially for the use of ballistic machines during the siege of Syracuse.

Theodoros Metochites, Miscellanea philosophica et historica
Chr. G. Müller, Th. Kiessling, Lipsiae 1821 p. 460/4

Ovid

Olympiodorus

Orivasius (or Oribasius)

The Greek physician describes the "Trispaston" invented by Archimedes and Apellides used for transport of ships. The device was modified by physicians and as a smaller version was used for medical purposes

Oribasius, Collection medicale, Bussemaker et C. Daremberg, Paris 1862, Vol IV p. 307

Pappus

Describes in his mathematical work except mathematical discoveries of Archimedes the lever, planetarium and the hydraulic clock of Archimedes

Georgios Pachymeres

refers to the calculation of the height of a pyramid by Archimedes, his estimation of PI

Petrarch

Petrarca in De remediis utriusque fortunae refers to the steam gun of Archimedes (called Architronito by Da Vinci)

Plutarch

Plutarch provides information about Archimedes in his Vitae Parallelae, Marcellus . Plutarch descibes the relation of Archimedes with the tyrant of Syracuse, versions of the death of Archimedes his war machines and discoveries.

Polybius

Proclus

Ptolemy

Ptolemy describes that Archimedes used the approximation PI = 0.5* (3 1/7 + 3 10/71 )

Remmius Palemon

Sextus Empiricus

Writes about the planetarium. Sextus Empiricus, Adversus Mathematicus, IX 155 , H. Mutschmann, Lipsiae, 1924 Vol. 2, p. 240

Silius Italicus

Describes the efforts of the Romans to conquer Syracuse and the use of war machines by Archimedes in his work Punica XIV. Mentions the iron hand of Archimedes, the sand reckoner, the use of lever and the death of Archimedes

Simplicius

Strabo

Suida

Synesius of Cyrene

Student of Hypatia, writes that Archimedes was looking for a place outside the Earth to stand in order to move the planet.

Synesius, Peri enypniou logos, Patrologia Graeca, Migne, Vol 66

Tertullianus

Tertullianus in De anima describes the hydraulis musical instrument which was invented by Ctesibius but improved by Archimedes. He also writes about the Planetarium and the mirrors of Archimedes

Tertuliallianus De anima. C. XIV, Patrologia Latina Migne

Gaius Favius Marius Victorinus

Roman author, in Art. Gramm. writes that there are so many meter types in poetry like stomachion figures

Grammatici, Latini, Vol. VII, H. Keil, Hildesheim 1961

Tzetzes

Lucius Apuleius

The Roman philosopher and rhetorician mentioned in De magia (Apologia) , Chapter 16, a book written by Archimedes about optics which considers mirrors

Philon of Alexandria

Philon of Byzantium

Michael Psellus

Contantine Psellus (or Psellos) (Michael his name as a monk) writes about the burning of the ships with mirrors and the pump of Archimedes

Michael Psellos, Scripta minora I, E Kurtz-F. Drexl, Milan 1936 p. 26
Bibliotheca Graeca, Mediiaevim 5 Paris 1876 p 113, 158
De operatione daemonum, Boissanadem Nürnberg, 1838 p 62
Perspicuum liber de quattuor mathem. Scientiis, Arithmetica, Musica, Geometria, Astronomia
G. Xylander Basilae 1556, p 73

I G Bachmakova

E J Dijksterhuis

E. J. Dijksterhuis (1892-1965) history of science professor from Holland (Utrecht) , englisch text of his Archimedes research by Dikshoorn , Archimedes after Dijksterhuis: A guide to recent studies. Princeton University Press

J L Heiberg

P. Ver Errcke

Valerius Maximus

Roman historian, first century AD, describes the defense of the Syracuseans with the war machines of Archimedes and his death

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