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The surveyors who mapped and measured the Roman world engaged broadly with the Greek tradition of mathematical literature, transforming it to fit their profession’s practical needs and to enhance the cultural status of their discipline. This paper will explore the transformative strategies used by Hyginus Gromaticus and Balbus, two agrimensorial authors who wrote in the late first or early second century ce. Both authors work to integrate Greek mathematical knowledge into a literary milieu in which broad appeal is privileged over narrow expertise, and a profession which demanded the application of mathematical knowledge to the experiential needs of surveyors. The hands-on experiences of practicing surveyors selectively re-formed the mathematical and literary structures of Greek mathematics, including both verbal and visual elements. Far from being derivative repetitions or simplifications of the mathematical material, these texts build it into a rich structure of creatively deployed experiential knowledge, giving it a new life in a complex and concrete world.
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Hero, Metrica 2.3 (text in Heronis Alexandrini opera quae supersunt omnia, edited by Hermann Schöne, Stuttgart: Teubner, 1976, 3:2–184). Tybjerg has collected other appearances of this claim (K. Tybjerg, “Hero of Alexandria’s Mechanical Geometry,” Apeiron, 2004, 37:29–56, no. 11). Lewis notes a similar passage, crediting the Egyptians with the invention of measurement, that appears in various forms at Geometrica 2 and 23.1, as well as Geodesia 72.9–18, 107 (M.J.T. Lewis, Surveying Instruments of Greece and Rome [Cambridge; New York: Cambridge University Press, 2001], p. 14, n. 2). The likely influence of Egyptian and Near Eastern practices on Greek and Roman surveying is indeed one of the more prominent factors complicating this relationship. On this topic, see O.A.W. Dilke, The Roman Land Surveyors: An Introduction to the Agrimensores (Newton Abbot: David and Charles, 1971), pp. 19–30; Lewis, Surveying Instruments of Greece and Rome (cit. supra), pp. 13–18 expresses doubts about the contributions made to Greek and Roman surveying by Egyptian astronomy and mathematics, arguing for the stronger influence of Mesopotamian methodology.
B. Hillier and J. Hanson, The Social Logic of Space (New York: Cambridge University Press, 1984), p. 1.
See, for example, F.T. Hinrichs, Histoire des institutions gromatiques (Paris: P. Geuthner, 1989), pp. 167–180; M.J. Castillo Pascual, Espacio en orden : el modelo gromático-romano de ordenación del territorio (Logroño, Logroño: Universidad de La Rioja, Servicio de Publicaciones, 1996); Campbell, Roman Land Surveyors (cit. note 3), xlv–liii; Chouquer and Favory, L’Arpentage Romain (cit. note 2), chap. 3–6. For a period earlier than the one under examination here, see C. Schubert, Land und Raum in der römischen Republik: die Kunst des Teilens (Darmstadt: Wissenschaftliche Buchgesellschaft, 1996); Hinrichs, Histoire des institutions gromatiques (cit. supra), pp. 79–96; E. Gabba, “Storia e Politica nei Gromatici,” in O. Behrends and L. Capogrossi Colognesi (eds.), Die Römische Feldmesskunst: Interdisziplinäre Beiträge Zu Ihrer Bedeutung Für Die Zivilisationsgeschichte Roms (Göttingen: Vandenhoeck & Ruprecht, 1992), pp. 398–411. For an anthropological approach, see Chouquer (cit. note 6).
B. Meißner, Die technologische Fachliteratur der Antike: Struktur, Uberlieferung und Wirkung technischen Wissens in der Antike (ca. 400 v. Chr.-ca. 500 n. Chr.) (Berlin: Akademie Verlag, 1999), pp. 184–194. On Frontinus’s status and possible origins as a homo novus, see S. Cuomo, “Divide and Rule: Frontinus and Roman Land-Surveying,” Studies in the History and Philosophy of Science, 2000, 31A: 189–202.
P. von Cranach, Die ‘Opuscula agrimensorum veterum’ und die Entstehung der kaiserzeitlichen Limitationstheorie (Basel: Friedrich Reinhardt Verlag, 1996).
On this, see D. Dueck, Strabo of Amasia: A Greek Man of Letters in Augustan Rome (London and New York: Routlege, 2000), particularly pp. 53–62 on scientific geography in Augustan Rome and pp. 85–106 on Strabo’s relationship with contemporary Roman intellectual life.
J. Høyrup, “Sub-scientific mathematics: Observations on a pre-modern phenomenon,” History of Science, 1990, 28:63–87.
M. Asper, Griechische Wissenschaftstexte: Formen, Funktionen, Differenzierungsgeschichten (Stuttgart: F. Steiner Verlag, 2007), pp. 197–210, 286–288.
Hero, Belopoeica 79.8–12, trans. adapted from E.W. Marsden, Greek and Roman Artillery; Technical Treatises (Oxford: Clarendon Press, 1971).
E. Panofsky, Renaissance and Renascences in Western Art. (New York: Harper & Row, 1972), p. 84; Bergemann et al., “Transformation” (cit. note 10), 49 define this as “Transformation, bei der ein Inhalt der Referenzkultur in die Form der Aufnahmekultur gekleidet wird oder ein Inhalt der Aufnahmekultur eine in der Referenz kultur verwendete Form erhält.”
R. Netz, Ludic Proof: Greek Mathematics and the Alexandrian Aesthetic (Cambridge and New York: Cambridge University Press, 2009), pp. 105–114.
Ibid., 109.
Agennius Urbicus, De controversiis agrorum, 70.1–4 Lachmann; trans. Campbell.
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The surveyors who mapped and measured the Roman world engaged broadly with the Greek tradition of mathematical literature, transforming it to fit their profession’s practical needs and to enhance the cultural status of their discipline. This paper will explore the transformative strategies used by Hyginus Gromaticus and Balbus, two agrimensorial authors who wrote in the late first or early second century ce. Both authors work to integrate Greek mathematical knowledge into a literary milieu in which broad appeal is privileged over narrow expertise, and a profession which demanded the application of mathematical knowledge to the experiential needs of surveyors. The hands-on experiences of practicing surveyors selectively re-formed the mathematical and literary structures of Greek mathematics, including both verbal and visual elements. Far from being derivative repetitions or simplifications of the mathematical material, these texts build it into a rich structure of creatively deployed experiential knowledge, giving it a new life in a complex and concrete world.
All Time | Past Year | Past 30 Days | |
---|---|---|---|
Abstract Views | 403 | 49 | 6 |
Full Text Views | 258 | 7 | 0 |
PDF Views & Downloads | 85 | 18 | 0 |