A History of Greek Mathematics, Volum 1Clarendon Press, 1921 |
Des de l'interior del llibre
Resultats 1 - 5 de 20.
Pàgina 86
... Timaeus of Locri , Philolaus and Archytas of Tarentum , and finally by Plato in the Timaeus , where we are told that the double and triple intervals were filled up by two means , one of which exceeds and is exceeded by the same part of ...
... Timaeus of Locri , Philolaus and Archytas of Tarentum , and finally by Plato in the Timaeus , where we are told that the double and triple intervals were filled up by two means , one of which exceeds and is exceeded by the same part of ...
Pàgina 89
... Timaeus is essentially Pythagorean . It is therefore a priori probable that Plato vayopíge in the passage2 where he says that between two planes one mean suffices , but to connect two solids two means are necessary . By planes and ...
... Timaeus is essentially Pythagorean . It is therefore a priori probable that Plato vayopíge in the passage2 where he says that between two planes one mean suffices , but to connect two solids two means are necessary . By planes and ...
Pàgina 142
... ( Timaeus 39 A , B ) about the circles of the sun , moon , and planets being twisted into spirals by the combination of their own motion with that of the daily rotation ; but this can hardly be the meaning here . A more satisfactory sense ...
... ( Timaeus 39 A , B ) about the circles of the sun , moon , and planets being twisted into spirals by the combination of their own motion with that of the daily rotation ; but this can hardly be the meaning here . A more satisfactory sense ...
Pàgina 158
... Timaeus is the earliest authority for the allocation , and it may very well be due to Plato himself ( were not the solids called the Platonic figures ' ? ) , although put into the mouth of a Pythagorean . At the same time , the fact ...
... Timaeus is the earliest authority for the allocation , and it may very well be due to Plato himself ( were not the solids called the Platonic figures ' ? ) , although put into the mouth of a Pythagorean . At the same time , the fact ...
Pàgina 159
... Timaeus , namely , by bringing a certain number of angles of equilateral triangles , squares , or pentagons severally together at one point so as to make a solid angle , and then completing all the solid angles in that way . That the ...
... Timaeus , namely , by bringing a certain number of angles of equilateral triangles , squares , or pentagons severally together at one point so as to make a solid angle , and then completing all the solid angles in that way . That the ...
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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