A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 33
... square root would be some number of tens or hundreds or thousands , & c . , and would have to be found by trial like the first term of the quotient in a long division . If A is the number the ... SQUARE ROOT 33 (e) Extraction of square root.
... square root would be some number of tens or hundreds or thousands , & c . , and would have to be found by trial like the first term of the quotient in a long division . If A is the number the ... SQUARE ROOT 33 (e) Extraction of square root.
Pagina 98
... square be joined in order as in the annexed diagram , we have a square inside the original square and obviously half as large . But the original square is equal to the square on the diagonal of the inner square ; there- fore the square ...
... square be joined in order as in the annexed diagram , we have a square inside the original square and obviously half as large . But the original square is equal to the square on the diagonal of the inner square ; there- fore the square ...
Pagina 178
... square ' , observes that between planes one mean suffices , but to connect two solids two means are necessary . The means are geometric means , and by ' planes ' and ' solids ' Plato doubtless meant square and cube numbers respectively ...
... square ' , observes that between planes one mean suffices , but to connect two solids two means are necessary . The means are geometric means , and by ' planes ' and ' solids ' Plato doubtless meant square and cube numbers respectively ...
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