Archimedes and the Pseudo-Euclidean Catoptrics: Early Stages in the Ancient Geometric Theory of mirrors. [From: Arcives Internationales d'Histoire des Sciences, Vol. 35, n. 114/115, 1985].

von Knorr, Wilbur Richard:

Autor(en)
Knorr, Wilbur Richard:
Verlag / Jahr
Rom: Istituto della Enciclopedia Italiana, 1985.
Format / Einband
Reprint, private copy by the author. pp. 28-105.
Sprache
Englisch
Gewicht
ca. 550 g
Bestell-Nr
1205207
Bemerkungen
From the library of Prof. Wolfgang Haase, long-time editor of the ANRW and the International Journal of the Classical Tradition (IJCT). - With dedication by the author to W. Haase. - Lightly rubbed, coffee stain on the title page, author's name handwritten on cover, otherwise clean. - Contents: Archimedes' Catoptrics -- The testimony of Apuleius -- The testimonia of Theon and Olympiodorus -- Theon and the ps.-Euclidean Catoptrics -- The place of the ps.Euclidean Catoptrics -- Damianus and the Catoptrics -- Ptolemy and the Catoptrics -- Hero and the Catoptrics -- Diodes and the Catoptrics -- The unity of the Catoptrics -- Two Problems of Authorship -- The Optics of Damianus of Larissa -- The Optics of Ptolemy. - From the text: The study of the reflection of light, or ‘catoptrics’ (from Greek katoptron, ‘mirror’), already constituted a field of major interest within ancient geometric optics in the 3rd century B.C. Among the extant mathematical writings devoted to this field are a Catoptrics by Hero of Alexandria (1st cent. A.D.), a major portion of Ptolemy’s Optics (2nd cent. A.D.), and a Catoptrics ostensibly by Euclid, but now generally accepted to be a pseudonymous work, perhaps compiled by Theon of Alexandria (4th cent. A.D.) These works are elementary in character, and so do not represent the findings of more advanced research. But the tract On Burning Mirrors by Diodes (late in the 3rd cent. B.C.) ably demonstrates the local property of parabolic mirrors and the phenomenon now called ‘aberration’ in spherical mirrors. From this we can infer that the fundamental results in catoptrics date back well into that century. Indeed, the basic principle of the equality of incident and reflected angles is assumed in a geometric proof by Euclid, while the same phenomenon is known to writers on natural philosophy in the 4th century B.C. - Wikipedia: Wilbur Richard Knorr (August 29, 1945 – March 18, 1997) was an American historian of mathematics and a professor in the departments of philosophy and classics at Stanford University. He has been called "one of the most profound and certainly the most provocative historian of Greek mathematics" of the 20th century.
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Archimedes and the Pseudo-Euclidean Catoptrics: Early Stages in the Ancient Geometric Theory of mirrors. [From: Arcives Internationales d'Histoire des Sciences, Vol. 35, n. 114/115, 1985].

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