When circles don't look like circles: An optical theorem in Euclid and Pappus
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Andersen, K. 1987. “Ancient Roots of Linear Perspective,” in From Ancient Omens to Statistical Mechanics: Essays on the Exact Sciences Presented to Asger Aaboe, ed. J. L. Berggren and B. R. Goldstein, Copenhagen: University Library
Andronicos, M. 1984. Vergina: The Royal Tombs, Athens: Ekdotike Athenon S.A., 1984
Brownson, C. D. 1981. “Euclid's Optics and its Compatibility with Linear Perspective,” Archive for History of Exact Sciences, 24: 165–194
Edgerton, S. Y. Jr. 1975. The Renaissance Rediscovery of Linear Perspective, New York: Basic Books
Euclid, Optics: see Heiberg 1895 ; Ver Eecke 1959
Euclid, Phaenomena: see Menge 1916
Friedlein, G. (ed.). 1873. Procli Diadochi In Primum Euclidis Elementorum Librum Commentarii, Leipzig: Teubner (repr. Hildesheim: Olms, 1967)
Gericke, H. 1984. Mathematik in Antike und Orient, Berlin: Springer
Heath, T. L. 1921. A History of Greek Mathematics, Oxford: Clarendon Press, 2 vols.
Heiberg, J. L. 1882. Literargeschichtliche Studien über Euklid, Leipzig: Teubner
Heiberg, J. L. (ed.). 1895. Euclidis Opera Omnia, vol. VII (Euclidis Optica, Opticorum recensio Theonis, Catoptrica, cum scholiis antiquis), Leipzig: Teubner
Hultsch, F. (ed.). 1876–78. Pappi Collections Quae Supersunt, 3 vols., Berlin: Weidmann (repr. Amsterdam: Hakkert, 1965)
Jones, A. 1989. “Pappus' Notes to Euclid's Optics,” paper read at the meeting of the Canadian Society for History and Philosophy of Mathematics, Universite Laval
Kemp, M. 1990. The Science of Art: Optical Themes in Western Art from Brunelleschi to Seurat, New Haven: Yale University Press
Knorr, W. R. 1982. “Observations on the Early History of the Conics,” Centaurus, 26: 1–24
Knorr, W. R. 1985a. “Ancient Versions of Two Trigonometric Lemmas,” Classical Quarterly, 35: 362–391
Knorr, W. R. 1985b. “Archimedes and the pseudo-Euclidean Catoptrics: Early Stages in the Ancient Geometric Theory of Mirrors,” Archives internationales d'histoire des sciences, 35: 28–105
Knorr, W. R. 1986. Ancient Tradition of Geometric Problems, Boston: Birkhäuser
Knorr, W. R. 1990. “Pseudo-Euclidean Reflections in Ancient Optics,” paper presented at a conference on history of optics, organized by A. I. Sabra, for the Dibner Institute, May 30–June 2, 1990
Knorr, W. R. 1992. “Geometric Optics in the Hellenistic Period and Later Antiquity (3rd century B.C. to 6th century A.D.)” in Aufstieg und Niedergang der römischen Welt, ed. W. Haase, ser. II, vol. 37, pt. 4/5
Knorr, W. R. “On the Principle of Linear Perspective in Euclid's Optics” (to appear in Centaurus)
Lejeune, A. 1948. Euclide et Ptolemee: Deux stades de l'optique geometrique grecque, Louvain: Bibliothèque de l'Université
Menge, H. (ed.). 1916. Euclidis Opera, vol. VIII (Phaenomena et scripta musica), Leipzig: Teubner
Morrow, G. 1970. Proclus: A Commentary on the First Book of Euclid's Elements, Princeton: Princeton University Press
Pappus, Collection: see Hultsch 1876–78; Ver Eecke 1933
Pedersen, O. 1974. A Survey of the Almagest, Odense: Odense University Press
Proclus, In Euclidem: see Friedlein 1873; Morrow 1970
Richter, G. M. A. (n.d.; ca. 1970). Perspective in Greek and Roman Art, London and New York: Phaidon
Simon, G. 1988. Le regard, l'être et l'apparence dans l'optique de l'antiquité, Paris: Éditions du Seuil
Theon of Alexandria, Recensio Opticorum: see Heiberg 1895; Ver Eecke 1959
Ver Eecke, P. 1933. Pappus d'Alexandrie: La Collection mathématique, 2 vols., Paris and Bruges: Desclee de Brouwer
Ver Eecke, P. 1959. Euclide: L'Optique et la Catoptrique, Paris: Blanchard (repr. of the edition of 1938)
White, J. 1967. The Birth and Rebirth of Pictorial Space, 2nd ed., Boston: Boston Book and Art Shop