A History of Greek Mathematics, Volum 1Clarendon Press, 1921 |
Des de l'interior del llibre
Resultats 1 - 5 de 88.
Pàgina vii
... solution . Now it is obvious that , if all the recorded solutions are collected together , it is much easier to see the relations , amounting in some cases to substantial identity , between them , and to get a comprehensive view of the ...
... solution . Now it is obvious that , if all the recorded solutions are collected together , it is much easier to see the relations , amounting in some cases to substantial identity , between them , and to get a comprehensive view of the ...
Pàgina xii
... ( solutions of 22 - y2 + 1 ) 91-93 Theon of Smyrna Recapitulation . ( y ) Area of rectangles in relation to perimeter ( equation xy = 2x + y ) Systematic treatises on arithmetic ( theory of numbers ) Nicomachus , Introductio Arithmetica ...
... ( solutions of 22 - y2 + 1 ) 91-93 Theon of Smyrna Recapitulation . ( y ) Area of rectangles in relation to perimeter ( equation xy = 2x + y ) Systematic treatises on arithmetic ( theory of numbers ) Nicomachus , Introductio Arithmetica ...
Pàgina xiii
... Solutions by Apollonius and Carpus 231-232 ( 8 ) Approximations to the value of 232-235 The trisection of any angle 235-244 ... solution by plane methods only 268-270 260-262 262-264 264-266 266-268 VIII . ZENO OF ELEA · 271-283 Zeno's ...
... Solutions by Apollonius and Carpus 231-232 ( 8 ) Approximations to the value of 232-235 The trisection of any angle 235-244 ... solution by plane methods only 268-270 260-262 262-264 264-266 266-268 VIII . ZENO OF ELEA · 271-283 Zeno's ...
Pàgina xiv
... Solution of x2 + y2 = 22 in integers ( ) Incommensurables . ( 8 ) The Geometrical Number Mathematical ' arts ' ( a ) Optics ( B ) Music ( 7 ) Astronomy X. FROM PLATO TO EUCLID Heraclides of Pontus : astronomical discoveries Theory of ...
... Solution of x2 + y2 = 22 in integers ( ) Incommensurables . ( 8 ) The Geometrical Number Mathematical ' arts ' ( a ) Optics ( B ) Music ( 7 ) Astronomy X. FROM PLATO TO EUCLID Heraclides of Pontus : astronomical discoveries Theory of ...
Pàgina 15
... solution of simple equations with one unknown , or easy simultaneous equations with two unknowns ; two are indeterminate equations of the first degree to be solved in positive integers . From Plato's allusions to such problems it is ...
... solution of simple equations with one unknown , or easy simultaneous equations with two unknowns ; two are indeterminate equations of the first degree to be solved in positive integers . From Plato's allusions to such problems it is ...
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Apollonius Archimedes Archytas argument Arist Aristotle arithmetic astronomy attributed axis base Book centre circle circumference conics construction cube curve definition Democritus diameter discovered discovery draw Elements equal equation Euclid Eudemus Eudoxus Eutocius figure follows fractions geometry given straight line gives gnomon Greek Hippocrates hyperbola hypothesis Iamblichus incommensurable indivisible indivisible lines inscribed irrationals isosceles latter lemma length lune magnitudes mathematician mathematics mean proportionals Menaechmus method method of exhaustion motion multiple namely Nicom Nicomachus odd numbers Pappus parallel parallelogram passage plane Plato polygon porism problem Proclus Proclus on Eucl proof propositions proved pyramid Pythagoras Pythagoreans quadratrix quadrature radius ratio rectangle rectilineal right angles right-angled triangle says semicircle side Simplicius solids solution sphere square number square root suppose Thales Theaetetus Theon of Smyrna theory of proportion things Timaeus tion treatise trisection Zeno καὶ