Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-17T00:10:34.407Z Has data issue: false hasContentIssue false

NOTES ON (PS.?) BALBUS GROMATICUS PP. 107.10–108.8 ED. LACHMANN

Published online by Cambridge University Press:  13 September 2013

Erik Bohlin*
Affiliation:
Uppsala University, Sweden

Abstract

This article subjects the final part of the treatise Expositio et ratio omnium formarum (Systematic presentation of all figures), included in the Corpus Agrimensorum Romanorum and commonly ascribed to Balbus, to fresh philological scrutiny (Balbus gromaticus pp. 107.10–108.8 ed. Lachmann). The passage deals with methods of constructing right angles for the purpose of drawing rectangular and rectilinear figures. On the basis of a reconsideration of the preserved textual witnesses and previous scholarship, the passage is critically and interpretatively studied in the form of a running commentary.

Type
Research Article
Copyright
Copyright © The Author(s) 2013. Published by Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Works Cited

Abbreviations of the names of ancient authors and works follow TLL and LSJ.

Editions of ancient authors cited

(Ps.?) Balbus gromaticus, Expositio et ratio omnium formarum, in Lachmann, K. (ed.) (1848) Gromatici veteres, Berlin, 91108.Google Scholar
Ps. Censorinus, Fragmentum Censorini, in Sallmann, K. (ed.) (1983) Censorini De die natali liber ad Q. Caerellium. Accedit anonymi cuiusdam epitoma disciplinarum (Fragmentum Censorini), Leipzig.Google Scholar
Euclides, Elementa, ed. Heiberg, J. L. (1883–1888), Leipzig.Google Scholar
Euclides, [The fragmentary Latin version M of the Elements], in Folkerts, M. (ed.) (1970) ‘Boethius’ Geometrie II. Ein mathematisches Lehrbuch des Mittelalters, Wiesbaden, 177217.Google Scholar
Martianus Capella, De nuptiis Philologiae et Mercurii, ed. Willis, J. (1983), Leipzig.Google Scholar

Other works

Bendz, G. (1938) Die Echtheitsfrage des vierten Buches der frontinischen Strategemata, Lund.Google Scholar
Bouma, J. (1993) Marcus Iunius Nypsus: Fluminis Varatio. Limitis Repositio. Introduction, text, translation and commentary, Frankfurt am Main.Google Scholar
Bubnov, N. (1899) Gerberti postea Silvestri II papae opera mathematica (972–1003). Accedunt aliorum opera ad Gerberti libellos aestimandos intelligendosque necessaria per septem appendices distributa. Collegit, ad fidem codicum manuscriptorum partim iterum, partim primum edidit, apparatu critico instruxit, commentario auxit, figuris illustravit Dr. Nicolaus Bubnov, Berlin.Google Scholar
Butzmann, H. (1970) Corpus Agrimensorum Romanorum. Codex Arcerianus A der Herzog-August-Bibliothek zu Wolfenbüttel (Cod. Guelf. 36. 23 A). Eingeleitet von Hans Butzmann. With a summary in English, Leiden.Google Scholar
Callebat, L. and Fleury, Ph. (eds.) (1995) Dictionnaire des termes techniques du De architectura de Vitruve, Hildesheim.Google Scholar
Campbell, B. (2000) The writings of the Roman land surveyors: introduction, text, translation and commentary, London.Google Scholar
Folkerts, M. (1969) ‘Zur Überlieferung der Agrimensoren: Schrijvers bisher verschollener “Codex Nansianus”’, RhM 112, 5370.Google Scholar
Folkerts, M. (1970) ‘Boethiusʼ Geometrie II. Ein mathematisches Lehrbuch des Mittelalters, Wiesbaden.Google Scholar
Folkerts, M. (1992) ‘Mathematische Probleme im Corpus agrimensorum’, in Behrends, O. and Colognesi, L. C. (eds.) Die römische Feldmeßkunst. Interdisziplinäre Beiträge zu ihrer Bedeutung für die Zivilisationsgeschichte Roms, Göttingen, 311–34 (reprinted in M. Folkerts (2003) Essays on early medieval mathematics: the Latin tradition, Aldershot, II: 311–34).Google Scholar
Guillaumin, J.-Y. (1996) Balbus. Présentation systématique de toutes les figures. Podismus et textes connexes: extraits d'Epaphrodite et de Vitruvius Rufus; La mesure des jugères. Introduction, traduction et notes par Jean-Yves Guillaumin, Naples.Google Scholar
Guillaumin, J.-Y. (2005) Les arpenteurs romains. Tome I: Hygin le Gromatique. Frontin. Texte établi et traduit par Jean-Yves Guillaumin, Paris.Google Scholar
Heath, T. (1921) A history of Greek mathematics. Volume I: From Thales to Euclid, Oxford.Google Scholar
Heath, T. L. (1926a) The thirteen books of Euclid's Elements. Volume I: Introduction and Books I, II, 2nd edn, rev. with additions, Cambridge (reprinted 1956–, New York).Google Scholar
Heath, T. L. (1926b) The thirteen books of Euclid's Elements. Volume II: Books III–IX, 2nd edn, rev. with additions, Cambridge (reprinted 1956–, New York).Google Scholar
Hofmann, J. B. and Szantyr, A. (1965) Lateinische Syntax und Stilistik, Munich.Google Scholar
Josephson, Å. (1950) Casae litterarum. Studien zum Corpus Agrimensorum Romanorum, Uppsala.Google Scholar
Löfstedt, E. (1936) Vermischte Studien zur lateinischen Sprachkunde und Syntax, Lund.Google Scholar
LSJ = Liddell, H. G., Scott, R. S., Jones, H. S. (1996) A Greek–English lexicon, Oxford.Google Scholar
Mugler, C. (1958–9) Dictionnaire historique de la terminologie géométrique des Grecs, Paris.Google Scholar
OLD = Oxford Latin dictionary, Oxford.Google Scholar
Reeve, M. D. (1983) ‘Agrimensores’, in Reynolds, L. D. (ed.) Texts and transmission: a survey of the Latin classics, Oxford, 16.Google Scholar
Roth Congès, A. (1996) ‘Modalités pratiques d'implantation des cadastres romains: quelques aspects (Quintarios claudere. Perpendere. Cultellare. Varare: la construction des cadastres sur une diagonale et ses traces dans le Corpus agrimensorum)’, MEFRA 108, 299422.CrossRefGoogle Scholar
Svennung, J. (1935) Untersuchungen zu Palladius und zur lateinischen Fach- und Volkssprache, Uppsala.Google Scholar
Thulin, C. (1911a) Die Handschriften des Corpus Agrimensorum Romanorum, Berlin.Google Scholar
Thulin, C. (1911b) ‘Humanistische Handschriften des Corpus Agrimensorum Romanorum’, RhM 66, 417–51.Google Scholar
TLL = Thesaurus linguae Latinae, Leipzig.Google Scholar
Toneatto, L. (1994a) Codices artis mensoriae. I manoscritti degli antichi opuscoli latini d'agrimensura (V–XIX sec.). Tomo primo. Tradizione diretta. Il Medioevo, Spoleto.Google Scholar
Toneatto, L. (1994b) Codices artis mensoriae. I manoscritti degli antichi opuscoli latini d'agrimensura (V–XIX sec.). Tomo secondo. Tradizione diretta. L'età moderna, Spoleto.Google Scholar