A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 39
... divided , but is only divisible into two unequal parts . ' Another ancient definition given by Nicomachus says that ' an even number is that which can be divided both into two equal parts and into two unequal parts ( except the ...
... divided , but is only divisible into two unequal parts . ' Another ancient definition given by Nicomachus says that ' an even number is that which can be divided both into two equal parts and into two unequal parts ( except the ...
Pagina 249
... divided , and if the small pyramids in each be similarly divided , then the smaller pyramids left over from that division similarly divided , and so on to any extent , the sums of all the pairs of prisms in the two given pyramids ...
... divided , and if the small pyramids in each be similarly divided , then the smaller pyramids left over from that division similarly divided , and so on to any extent , the sums of all the pairs of prisms in the two given pyramids ...
Pagina 498
... divided by the greatest square which measures it , must not be divisible by a prime number of the form 4n - 1 ... divided into four squares . In this case he states no necessary condition , as he does when numbers have to be divided into ...
... divided by the greatest square which measures it , must not be divisible by a prime number of the form 4n - 1 ... divided into four squares . In this case he states no necessary condition , as he does when numbers have to be divided into ...
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