A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 121
... HIPPOCRATES of Chios would appear to have been in Athens for a considerable portion of the second half of the fifth century , say from 450 to 430 B.C. Why he came to Athens and how he was ... HIPPOCRATES OF CHIOS 121 Hippocrates of Chios.
... HIPPOCRATES of Chios would appear to have been in Athens for a considerable portion of the second half of the fifth century , say from 450 to 430 B.C. Why he came to Athens and how he was ... HIPPOCRATES OF CHIOS 121 Hippocrates of Chios.
Pagina 130
... Hippocrates claimed to have done , owing to the use by some ancient author of ambiguous language such as that employed in a sentence in Simplicius which seems to come from Eudemus : ' Thus Hippocrates squared every lune , in so far as ...
... Hippocrates claimed to have done , owing to the use by some ancient author of ambiguous language such as that employed in a sentence in Simplicius which seems to come from Eudemus : ' Thus Hippocrates squared every lune , in so far as ...
Pagina 131
... Hippocrates ' achievement is remarkable , for he discovered and proved the possibility of quadrature in the case of three out of the five species of lunes which alone can be squared by ' plane ' methods . ( b ) Reduction of the problem ...
... Hippocrates ' achievement is remarkable , for he discovered and proved the possibility of quadrature in the case of three out of the five species of lunes which alone can be squared by ' plane ' methods . ( b ) Reduction of the problem ...
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