A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 30
... multiplying the highest denominations instead of the lowest . The term in the multiplier containing the highest power of 10 was taken and multiplied successively into the separate terms of the multiplicand in descending order beginning ...
... multiplying the highest denominations instead of the lowest . The term in the multiplier containing the highest power of 10 was taken and multiplied successively into the separate terms of the multiplicand in descending order beginning ...
Pagina 78
... multiplied by 1. This makes it appear that the base was multiplied by 11⁄2 times the height . It is now explained ( vide Peet's edition ) that this is not so ; what happens is that , when the content has been found in cubic cubits , the ...
... multiplied by 1. This makes it appear that the base was multiplied by 11⁄2 times the height . It is now explained ( vide Peet's edition ) that this is not so ; what happens is that , when the content has been found in cubic cubits , the ...
Pagina 528
... multiplied by 1 in one place means 30.60 = 30 ; the denominations , integral and fractional , have always to be ... multiplied by 60 gives 30 as [ side of ] greater square . Multiply by 40 , this gives 20 . Subtract 10 from 20 and this ...
... multiplied by 1 in one place means 30.60 = 30 ; the denominations , integral and fractional , have always to be ... multiplied by 60 gives 30 as [ side of ] greater square . Multiply by 40 , this gives 20 . Subtract 10 from 20 and this ...
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