A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 171
... Plato that the Delians came with the problem of doubling the cube , and that Plato referred them to Eudoxus and Helicon of Cyzicus . And sure enough Eudoxus gave a solution , while another was given by his pupil Menaechmus . Again , in ...
... Plato that the Delians came with the problem of doubling the cube , and that Plato referred them to Eudoxus and Helicon of Cyzicus . And sure enough Eudoxus gave a solution , while another was given by his pupil Menaechmus . Again , in ...
Pagina 172
... Plato is directly opposed even to the language which , for want of better terms , geometers are obliged to use ; thus they speak of ' squaring ' , ' applying ... PLATO TO EUCLID FROM PLATOTO EUCLID > Plato and the philosophy of mathematics.
... Plato is directly opposed even to the language which , for want of better terms , geometers are obliged to use ; thus they speak of ' squaring ' , ' applying ... PLATO TO EUCLID FROM PLATOTO EUCLID > Plato and the philosophy of mathematics.
Pagina 175
... Plato . A straight line is defined by Plato himself as ' that of which the middle covers the ends ' ( i.e. to an eye at either end looking along the line ) ; and I ... PLATO 175 Summary of the mathematics in Plato The five regular solids.
... Plato . A straight line is defined by Plato himself as ' that of which the middle covers the ends ' ( i.e. to an eye at either end looking along the line ) ; and I ... PLATO 175 Summary of the mathematics in Plato The five regular solids.
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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according added algebra Apollonius appears Archimedes assumes base begins Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus divided draw drawn earth edition Elements equal equation equivalent Euclid expression fact figure five follows four geometry given gives greater Greek height Heron included inscribed Join known latter lemmas length less mathematics means measure meet mentioned method moon multiplied namely observations obtained original Pappus parallel particular perpendicular plane polygon position problem produced proof Prop proportion propositions proved Ptolemy pyramid Pythagoreans radius ratio rectangle reference regarded regular relation represented respectively result right angles segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory tion translation treatise triangle volume whole