Abstract
With Apuleius and Augustine as the only partial exceptions, Latin Antiquity did not know Archimedes as a mathematician but only as an ingenious engineer and astronomer, serving his city and killed by fatal distraction when in the end the city was taken by ruse. The Latin Middle Ages forgot even much of that, and when Archimedean mathematics was translated in the 12th and 13th centuries, almost no integration with the traditional image of the person took place. Petrarca knew the civically useful engineer and the astrologer (!); no other 14th-century Humanist seems to know about Archimedes in any role. In the 15th century, however, “higher artisans” with Humanist connections or education took interest in Archimedes the technician and started identifying with him. In mid-century, a new translation of most works from the Greek was made by Jacopo Cremonensis, and Regiomontanus and a few other mathematicians began resurrecting the image of the geometer, yet without emulating him in their own work. Giorgio Valla’s posthumous De expetendis et fugiendis rebus from 1501 marks a watershed. Valla drew knowledge of the person as well as his works from Proclus and Pappus, thus integrating person and works. Over the century, a number of editions also appeared, the editio princeps in 1544, and mathematical work following in the footsteps of Archimedes was made by Maurolico, Commandino and others. The Northern Renaissance only discovered Archimedes in the 1530s, and for long only superficially. The first to express a (purely ideological) high appreciation was Ramus in 1569, and the first to make creative use of his mathematics was Viète in the 1590s.
Originally published in Ganita Bhāratī 39 (2017), 1–22
Small corrections of style made tacitly A few additions touching the substance in 〚…〛
marshall clagett and marie-dominique chenu in memoriam
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References
Greek and Latin classics, where the text makes use of standard reference systems, are not included. Any scholarly edition will do.
Alberti, Leone Battista, 1541. De re aedificatoria libri decem. Strasbourg: Jacob Cammerlander.
Biagioli, Mario, 1989. “The Social Status of Italian Mathematicians, 1450–1600”. History of Science 27, 41–95.
Billanovich, Giuseppe (ed.), 1943. Francesco Petrarca, Rerum memorandarum libri. Firenze: Sansoni.
Burley, Walter, 1487. Libellus de vita et moribus philosophorum et poetarum. Antwerpen (?): [Drucker der Mensa philosophica].
Busard, Hubert L. L. (ed.), 2001. Johannes de Tinemue’s Redaction of Euclid’s Elements, the So-Called Adelard III Version. 2 vols. Stuttgart: Franz Steiner.
Buteo, Joannes, 1559. De quadratura circuli libri duo, ubi multorum quadraturae confutantur, et ab omnium impugnatione defenditur Archimedes. Lyon: Guillaume Rouilles.
Cambiano, Giuseppe, 1999. “Philosophy, Science and Medicine”, pp. 585–613 in Keimpe Algra et al (eds), Cambridge History of Hellenistic Philosophy. Cambridge: Cambridge University Press.
Capelli, L. M. (ed.), 1906. Pétrarque, Le traité De sui ipsius et multorum ignorantia. Paris: Honoré Champion.
Cardano, Girolamo, 1550. De subtilitate libri XXI. Nürnberg: Ioh. Petreius.
Cardano, Girolamo, 1663. Operum tomus quartus. Lyon: Jean Antoine Huguetan & Marc Antoine Ragaud.
Clagett, Marshall, 1964. Archimedes in the Middle Ages. Vol. I. The Arabo-Latin Tradition. Madison, Wisconsin: University of Wisconsin Press.
Clagett, Marshall, 1976. Archimedes in the Middle Ages. Volume II, The Translations from the Greek by William of Moerbeke. Philadelphia: The American Philosophical Society.
Clagett, Marshall, 1978. Archimedes in the Middle Ages. Volume III, The Fate of the Medieval Archimedes 1300–1565. Philadelphia: The American Philosophical Society.
Commandino, Federico (ed., trans.), 1558a. Archimedis Opera nonnulla. Venezia: Manuzio.
Commandino, Federico, 1558b. Commentarii in Opera nonnulla Archimedis. Venezia: Manuzio.
Commandino, Federico (ed.), 1565a. Archimedis De iis quae vehuntur in aqua libri II. Bologna, Benacci.
Commandino, Federico, 1565b. Liber de centro gravitatis solidorum. Bologna, Benacci.
d’Alessandro, Paolo, & Pier Daniele Napolitani (ed., trans.), 2012. Archimede latino: Iacopo da San Cassiano e il corpus archimedeo alla metà del quattrocento. Paris: Les Belles Lettres.
Finé, Oronce, 1532. Protomathesis. Paris: Morrh & Petre.
Fracassetti, Giuseppe (ed., trans.), 1869. Francesco Petrarca, Lettere senili. 2 vols. Firenze: Le Monnier, 1869–70.
Friedlein, Gottfried (ed.), 1873. Procli Diadochi In primum Euclidis Elementorum librum commentarii. Leipzig: Teubner.
Gaurico, Luca, 1503. Tetragonismus idest circuli quadratura per Campanum, Archimedem Syracusanum atque Boetium mathematicae perspicassissimos adinventa. Venezia: Giovanni Battista Sessa.
Heiberg, J. L., 1907. “Eine neue Archimedes-Handschrift”. Hermes 41, 235–303.
Heiberg, Johan Ludvig (ed., trans.), 1972. Archimedis Opera omnia cum Commentariis Eutocii. Corrigenda adiecit Evangelos S. Stamatis. 2 vols. Stuttgart: Teubner.
Høyrup, Jens, 1992. “Archimedism, not Platonism: on a Malleable Ideology of Renaissance Mathematicians (1400 to 1600), and on its Role in the Formation of Seventeenth-Century Philosophies of Science”, pp. 81–110 in Corrado Dollo (ed.), Archimede. Mito Tradizione Scienza. Firenze: Leo S. Olschki.
Hultsch, Friedrich (ed.), 1864. Metrologicorum scriptorum reliquiae. 2 vols. Leipzig: Teubner.
Hultsch, Friedrich (ed., trans.), 1876. Pappi Alexandrini Collectionis quae supersunt. 3 vols. Berlin: Weidmann, 1876–1878.
Kroll, Wilhelm, & F. Skutsch (eds), 1897. Iulii Firmici Materni Matheseos libri VIII. 2 vols. Leipzig: Teubner.
Laird, W. Roy, 1991. “Archimedes among the Humanists”. Isis 82, 629–638.
Maurolico, Francesco, 1685. Admirandi Archimedis syracusani Monumenta omnia mathematica, quae extant. Palermo: Cillenio.
Milanesi, Gaetano, et al (eds), 1846. Giorgio Vasari, Le vite de’ più eccellenti pittori, scultori e architetti. 13 vols. Firenze: Le Monnier, 1846–1857.
Narducci, Enrico (ed.), 1886. “Vite inedite di matematici italiani scritti da Bernardino Baldi”. Bullettino di Bibliografia e di Storia delle Scienze matematiche e fisiche 19, 335–406, 437–489, 521–640.
Narducci, Enrico (ed.), 1887. “Vita di Pitagora, scritta da Bernardino Baldi, tratta dall’autografo ed annotato”. Bullettino di Bibliografia e di Storia delle Scienze matematiche e fisiche 20, 197–308.
Nisard, Désiré (ed., trans.), 1865. Pétrone, Apulée, Aulu-Gelle, Oeuvres complètes. Paris: Firmin- Didot.
Pacioli, Luca, 1494. Summa de Arithmetica Geometria Proportioni et Proportionalita. Venezia: Paganino de Paganini.
Pacioli, Luca, 1509. Divina proportione. Venezia: Paganius Paganinus.
PL: Patrologiae cursus completus, series latina, acccurante J. P. Migne. 221 vols. Paris, 1844–1864.
Prager, Frank D., & Gustina Scaglia, 1972. Mariano Taccola and his Book De ingeneis. Cambridge, Mass.: M.I.T. Press, 1972.
Ramus, Petrus, 1569. Scholarum mathematicarum libri unus et triginta. Basel: Eusebius Episcopius.
Razzolini, Luigi (ed., trans.), 1874. Le vite degli uomini illustri di Francesco Petrarca. 2 vols. Bologna: Gaetano Romagnoli, 1874, 1879.
Richter, Jean Paul (ed., trans.), 1883. The Literary Works of Leonardo da Vinci, compiled and edited from the original manuscripts. 2 vols. London: Sampson Low, Marston, Searly & Rivington.
Rose, Paul Lawrence, 1975. The Italian Renaissance of Mathematics. Studies on Humanists and Mathematicians from Petrarch to Galileo. Genève: Droz.
Scheubel, Johann (ed., trans.), 1550. Euclidis Megarensis Sex libri priores, De Geometricis principiis, Graeci et latini, …. Algebrae porro regulae …. Basel: Hervagius.
Schmeidler, Felix (ed.), 1972. Joannis Regiomontani Opera collectanea. Osnabrück: Otto Zeller.
〚Schneider, Ivo, 1968. “Die Entstehung der Legende um die kriegstechnische Anwending von Brennspiegeln bei Archimedes”, pp. 31–42 in Kurt Elfering et al, Rechenpfennige. Aufsätze zur Wissenschaftsgeschichte. Kurt Vogel zum 80. Geburtstag am 30. September 1968 gewidmet. München: Forschungsinstitut des Deutschen Museums fur die Geschichte der Naturwissenschaften und der Technik.〛
Sedley, David, 1976. “Epicurus and the Mathematicians of Cyzicus”. Cronache Ercolanesi 6, 23–54.
〚Simms, D. L., 1991. “Galen on Archimedes: Burning Mirror or Burning Pitch”. Technology and Culture 32, 91–96.〛
Steele, Robert (ed.), 1940. Communia mathematica fratris Rogeri partes prima et secunda. Oxford: The Clarendon Press.
Stifel, Michael, 1544. Arithmetica integra. Nürnberg: Petreius.
Tartaglia, Nicolò (ed.), 1543. Opera Archimedis syracusani philosophi ed mathematici ingeniosissimi. Venezia: Venturino Ruffinello.
Tartaglia, Nicolò, 1560. La quarta parte del general trattato de’ numeri et misure. Venezia: Curtio Troiano.
Valla, Giorgio, 1501. De expetendis et fugiendis rebus opus. 2 vols. Venezia: Manuzio.
van Schooten, Frans (ed.), 1646. Franҫois Viète, Opera mathematica. Leiden: Elzevier.
Venatorius, Thomas Gechauff (ed.), Jacopo da Cremona (trans.), Joannes Regiomontanus (corr.), 1544. Archimedis Syracusani philosophi ac geometrae excellentissimi Opera, quae quidem extant omnia. Basel: Hervagius.
Vincent de Beauvais, 1624. Bibliotheca mundi seu speculi maioris. Tomus quartus, Speculum historiale. Douai: Baltazar Bellerus.
Williams, Kim, Lionel March & Stephen R. Wassell (ed., trans.), 2010. The Mathematical Works of Leon Battista Alberti. Basel: Birkhauser.
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Høyrup, J. (2019). (Article I.16.) Archimedes – Knowledge and Lore from Latin Antiquity to the Outgoing European Renaissance. In: Selected Essays on Pre- and Early Modern Mathematical Practice. Springer, Cham. https://doi.org/10.1007/978-3-030-19258-7_17
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