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The geometry of burning mirrors in Greek antiquity. Analysis, heuristic, projections, lemmatic fragmentation
Archive for History of Exact Sciences 65 (5):471-497 (2011)
Abstract
The article analyzes in detail the assumptions and the proofs typical of the research field of the geometry of burning mirrors. It emphasizes the role of two propositions of the Archimedean Quadratura parabolae, never brought to bear on this subject, and of a complex system of projections reducing a sumptōma of a parabola to some specific linear lemmas. On the grounds of this case-study, the much-debated problem of the heuristic role of analysis is also discussed.My notes
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Citations of this work
Federico Commandino and the Latin edition of Apollonius’s Conics (1566).Argante Ciocci - 2023 - Archive for History of Exact Sciences 77 (4):393-421.
References found in this work
On Some Borrowed and Misunderstood Problems in Greek Catoptrics.Alexander Jones - 1987 - Centaurus 30 (1):1-17.
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