A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
Vanuit het boek
Resultaten 1-3 van 60
Pagina 195
... Aristotle's favourite example is ' If equals be sub- tracted from equals , the remainders are equal ' . A postu- late is an assumption which ( besides being restricted to the subject - matter of the particular science ) differs from an ...
... Aristotle's favourite example is ' If equals be sub- tracted from equals , the remainders are equal ' . A postu- late is an assumption which ( besides being restricted to the subject - matter of the particular science ) differs from an ...
Pagina 196
... Aristotle's source . Aristotle has the equivalent of Euclid's Defs . 1-3 , 5 , 6 of Book I , but for a straight line he gives Plato's definition only : whence we conclude that Euclid's definition was his own , as also was his definition ...
... Aristotle's source . Aristotle has the equivalent of Euclid's Defs . 1-3 , 5 , 6 of Book I , but for a straight line he gives Plato's definition only : whence we conclude that Euclid's definition was his own , as also was his definition ...
Pagina 199
... Aristotle , is the opposite of that com- monly held ; it is not that which has nothing outside it , but that which always has something outside it . ' My argument , however ' , he adds , ' does not anyhow rob ... Aristotle's , ARISTOTLE 199.
... Aristotle , is the opposite of that com- monly held ; it is not that which has nothing outside it , but that which always has something outside it . ' My argument , however ' , he adds , ' does not anyhow rob ... Aristotle's , ARISTOTLE 199.
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
29 andere gedeelten niet getoond
Overige edities - Alles bekijken
Veelvoorkomende woorden en zinsdelen
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