A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 135
... Archytas wrote on machines ; two mechanical devices are attributed to him , one a mechanical dove , made of wood , which would fly , the other a rattle which , according to Aristotle , was found useful to ' give to children to occupy ...
... Archytas wrote on machines ; two mechanical devices are attributed to him , one a mechanical dove , made of wood , which would fly , the other a rattle which , according to Aristotle , was found useful to ' give to children to occupy ...
Pagina 136
... Archytas gave the numerical ratios represent- ing the intervals of the tetrachord on three scales , the anharmonic , the chromatic , and the diatonic . He held that sound is due to impact , and that higher tones corre- spond to quicker ...
... Archytas gave the numerical ratios represent- ing the intervals of the tetrachord on three scales , the anharmonic , the chromatic , and the diatonic . He held that sound is due to impact , and that higher tones corre- spond to quicker ...
Pagina 155
... Archytas . Of all the solutions that of Archytas is the most remark- able , especially in view of its date ( first half of fourth century B.C. ) ; for it is a bold construction in three dimen- sions determining a certain point as the ...
... Archytas . Of all the solutions that of Archytas is the most remark- able , especially in view of its date ( first half of fourth century B.C. ) ; for it is a bold construction in three dimen- sions determining a certain point as the ...
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