A History of Greek Mathematics, Volum 1Clarendon Press, 1921 |
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Pàgina viii
... Elements , wrote on almost all the other branches of mathematics known in his day . Archi- medes's work , all original and set forth in treatises which are models of scientific exposition , perfect in form and style , was even wider in ...
... Elements , wrote on almost all the other branches of mathematics known in his day . Archi- medes's work , all original and set forth in treatises which are models of scientific exposition , perfect in form and style , was even wider in ...
Pàgina xiii
... Elements as known to Hippocrates 201-202 Theodorus of Cyrene Theaetetus Archytas Summary • VII . SPECIAL PROBLEMS The squaring of the circle Antiphon Bryson . Hippias , Dinostratus , Nicomedes , & c . ( a ) The quadratrix of Hippias ...
... Elements as known to Hippocrates 201-202 Theodorus of Cyrene Theaetetus Archytas Summary • VII . SPECIAL PROBLEMS The squaring of the circle Antiphon Bryson . Hippias , Dinostratus , Nicomedes , & c . ( a ) The quadratrix of Hippias ...
Pàgina xiv
... Elements . Proclus's summary ( continued ) Eudoxus . 316-317 318-319 319-321 322-335 ( a ) Theory of proportion 325-327 ( B ) The method of exhaustion 327-329 ( 7 ) Theory of concentric spheres 329-335 Aristotle . 335-348 ( a ) First ...
... Elements . Proclus's summary ( continued ) Eudoxus . 316-317 318-319 319-321 322-335 ( a ) Theory of proportion 325-327 ( B ) The method of exhaustion 327-329 ( 7 ) Theory of concentric spheres 329-335 Aristotle . 335-348 ( a ) First ...
Pàgina 3
... Elements in thirteen Books . The next century , the third , is that of Archimedes , who may be said to have anticipated the integral calculus , since , by performing what are practi- cally integrations , he found the area of a parabolic ...
... Elements in thirteen Books . The next century , the third , is that of Archimedes , who may be said to have anticipated the integral calculus , since , by performing what are practi- cally integrations , he found the area of a parabolic ...
Pàgina 53
... elements they had obtained by the doubling process ; similarly they would find 25 times any number by adding once and 8 times and 16 times the number.1 Division was performed by the Egyptians in an even more rudimen- tary fashion ...
... elements they had obtained by the doubling process ; similarly they would find 25 times any number by adding once and 8 times and 16 times the number.1 Division was performed by the Egyptians in an even more rudimen- tary fashion ...
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Frases i termes més freqüents
alphabet Apollonius Archimedes Archytas argument Arist Aristotle arithmetic astronomy attributed axis base Book centre circle circumference conics construction cube curve Democritus diameter discovered discovery Elements equal equations Euclid Eudemus Eudoxus Eutocius figure follows geometry gives gnomon Greek Heron Hippias Hippocrates Hippocrates's hypothesis Iamblichus incommensurable indivisible indivisible lines inscribed irrational isosceles latter length lune magnitudes mathematician mathematics mean proportionals Menaechmus Metaph method method of exhaustion moon motion multiples namely Nicom Nicomachus odd numbers Oenopides Pappus parallel passage plane Plato Plutarch problem Proclus on Eucl proof proposition proved pyramid Pythagoras Pythagoreans pythmen quadratrix quadrature radius ratio rectangle right angles right-angled triangle says semicircle side similar segments Simplicius solid solution sphere square number square root suppose Thales Theaetetus Theon of Smyrna theorem of Eucl theory of proportion things Timaeus tion trisection Zeno καὶ