A History of Greek Mathematics, Volum 1Clarendon Press, 1921 |
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Pàgina v
... Aristotle . Aristotle would , however , by no means admit that mathematics was divorced from aesthetic ; he could conceive , he said , of nothing more beautiful than the objects of mathe- matics . Plato delighted in geometry and in the ...
... Aristotle . Aristotle would , however , by no means admit that mathematics was divorced from aesthetic ; he could conceive , he said , of nothing more beautiful than the objects of mathe- matics . Plato delighted in geometry and in the ...
Pàgina xiv
... Aristotle . 335-348 ( a ) First principles 336-338 ( 3 ) Indications of proofs differing from Euclid's . 338-340 ( 2 ) Propositions not found in Euclid 340-341 ( 8 ) Curves and solids known to Aristotle 341-342 ( e ) The continuous and ...
... Aristotle . 335-348 ( a ) First principles 336-338 ( 3 ) Indications of proofs differing from Euclid's . 338-340 ( 2 ) Propositions not found in Euclid 340-341 ( 8 ) Curves and solids known to Aristotle 341-342 ( e ) The continuous and ...
Pàgina 3
... Aristotle.1 The Greeks , beyond any other people of antiquity , possessed the love of knowledge for its own sake ; with them it amounted to an instinct and a passion.2 We see this first of all in their love of adventure . It is ...
... Aristotle.1 The Greeks , beyond any other people of antiquity , possessed the love of knowledge for its own sake ; with them it amounted to an instinct and a passion.2 We see this first of all in their love of adventure . It is ...
Pàgina 5
... Aristotle , and by the history of Greek astronomy in all its stages . To take two commonplace examples . Any person who examines the under - side of a horse's hoof , which we call a ' frog ' and the V Greeks called a ' swallow ' , will ...
... Aristotle , and by the history of Greek astronomy in all its stages . To take two commonplace examples . Any person who examines the under - side of a horse's hoof , which we call a ' frog ' and the V Greeks called a ' swallow ' , will ...
Pàgina 8
... Aristotle observes that science was preceded by the arts . The arts were invented as the result of general notions gathered from experience ( which again was derived from the exercise of memory ) ; those arts naturally came first which ...
... Aristotle observes that science was preceded by the arts . The arts were invented as the result of general notions gathered from experience ( which again was derived from the exercise of memory ) ; those arts naturally came first which ...
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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