A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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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 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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algebra Apollonius Archimedes Archytas arithmetic assumes astronomy axis base bisects Book centre of gravity chord circle circumscribed commentary cone conics contained cube curve cylinder definition diameter Diophantus divided edition equal equation equivalent Eratosthenes Eucl Euclid Eudemus Eudoxus Eutocius figure geometry given ratio given straight line gives Greek height Heron Hipparchus hyperbola inscribed lemmas length loci mathematics mean proportionals method method of exhaustion moon multiplied namely Pappus parabola parallel parallelogram pentagon perpendicular plane Plato polygonal number Porisms Posidonius problem Proclus proof Prop propositions proved Ptolemy pyramid Pythagoras Pythagoreans quadratic quadratic equations radius rectangle respectively right angles right-angled triangle segment semicircle sexagesimal sides similar solid solution solved sphere square number surface tangent Theon Theon of Alexandria theorem theory tion translation treatise triangular number volume whence