A Manual of Greek MathematicsCourier Corporation, 29 dec 2003 - 576 pagina's This concise but thorough history encompasses the enduring contributions of the ancient Greek mathematicians whose works form the basis of most modern mathematics. Written by a distinguished scholar and mathematician, the well-written, nontechnical text is geared toward high school, college, and graduate students, teachers, and those seeking a historical perspective on mathematics. Topics include Pythagorean arithmetic, Plato's use and philosophy of mathematics, an in-depth analysis of Euclid's "Elements," the beginnings of Greek algebra and trigonometry, and other mathematical milestones. |
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Pagina xi
... Heron, Philon of Byzantium Diocles and the cissoid Sporus and Pappus. VIII. FROM PLATO TO EUCLID Plato and the philosophy of mathematics The hypotheses of mathematics T)efinitions . - - - Summary of the mathematics in Plato The five ...
... Heron, Philon of Byzantium Diocles and the cissoid Sporus and Pappus. VIII. FROM PLATO TO EUCLID Plato and the philosophy of mathematics The hypotheses of mathematics T)efinitions . - - - Summary of the mathematics in Plato The five ...
Pagina xiv
... HERON OF ALEXANDRIA . 4.15 Heron's date . - - - - . 415 List of works . • - - - . 417 Commentary on Euclid - e - . 417 Mensuration . e - - w . 418 The Metrica. • - - - . 419 Area of triangle in terms of sides . - . 420 Approximations to ...
... HERON OF ALEXANDRIA . 4.15 Heron's date . - - - - . 415 List of works . • - - - . 417 Commentary on Euclid - e - . 417 Mensuration . e - - w . 418 The Metrica. • - - - . 419 Area of triangle in terms of sides . - . 420 Approximations to ...
Pagina xv
... Heron's Metrica. 470 DIOPHANTUS 472 Date and works 472 The Arithmetica 473 Lost Books. 'Porisms' 474 Commentaries and editions - 474 Notation: sign for unknown and its powers 476 sign for minus. - 479 I. Diophantus' treatment of ...
... Heron's Metrica. 470 DIOPHANTUS 472 Date and works 472 The Arithmetica 473 Lost Books. 'Porisms' 474 Commentaries and editions - 474 Notation: sign for unknown and its powers 476 sign for minus. - 479 I. Diophantus' treatment of ...
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Pagina 20
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according added Apollonius appear applied Archimedes arithmetic assumed base beginning Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus discovered divided draw drawn earth edition Elements equal equation equivalent Eucl Euclid expressed fact figure five follows four geometry given gives greater Greek height Heron included inscribed Join known latter length less mathematics means measure meet mentioned method multiplied namely observations obtained original Pappus parallel parallelogram particular plane Plato polygon position problem Proclus produced proof Prop proportion propositions proved pyramid Pythagoreans radius ratio rectangle reference regular relation represented respectively result right angles says segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory things third tion translation treatise triangle volume whole