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
... Eratosthenes Nicomedes . - - - Apollonius, 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 ...
... Eratosthenes Nicomedes . - - - Apollonius, 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 ...
Pagina xiii
... ERATOSTHENES • - o - . 343 Measurement of the earth . e - . 343 XII. CONIC SECTIONS e • - . 347 Discovery of conics by Menaechmus . • . 347 Euclid and Aristaeus . - - • . 349 Archimedes . e - • - . 351 APOLLONIUs of Perga - e - . 352 ...
... ERATOSTHENES • - o - . 343 Measurement of the earth . e - . 343 XII. CONIC SECTIONS e • - . 347 Discovery of conics by Menaechmus . • . 347 Euclid and Aristaeus . - - • . 349 Archimedes . e - • - . 351 APOLLONIUs of Perga - e - . 352 ...
Pagina 63
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Pagina 150
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Pagina 154
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Veelvoorkomende woorden en zinsdelen
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