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
... 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 regular solids Geometric means - - - The two geometrical passages ...
... 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 regular solids Geometric means - - - The two geometrical passages ...
Pagina xiv
... PAPPUS OF ALEXANDRIA e e . 434 Date and works e e - - . 434 The Collection, e - - - . 435 Editions . • - • • . 436 Books I, II. • e e e . 437 Book III . & e e - . 437 On problem of two mean proportionals . 437 On Means • e - e . 438 ...
... PAPPUS OF ALEXANDRIA e e . 434 Date and works e e - - . 434 The Collection, e - - - . 435 Editions . • - • • . 436 Books I, II. • e e e . 437 Book III . & e e - . 437 On problem of two mean proportionals . 437 On Means • e - e . 438 ...
Pagina xv
... (Pappus' Problem) 453 'Theorem of Guldin' anticipated . • . 454 Lemmas to treatises of Apollonius and Euclid .455-9 Book VIII . e 460 Mechanics: historical preface 460 On centre of gravity e - e 461 Construction of conic through five ...
... (Pappus' Problem) 453 'Theorem of Guldin' anticipated . • . 454 Lemmas to treatises of Apollonius and Euclid .455-9 Book VIII . e 460 Mechanics: historical preface 460 On centre of gravity e - e 461 Construction of conic through five ...
Pagina 18
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Pagina 19
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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