A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 93
... circle including seven orbits , i.e. the zodiac circle , which embraces the independent circles of the sun , moon , and planets . But this leaves the words ' even scalene triangles ' high and dry , as it were . It would be more natural ...
... circle including seven orbits , i.e. the zodiac circle , which embraces the independent circles of the sun , moon , and planets . But this leaves the words ' even scalene triangles ' high and dry , as it were . It would be more natural ...
Pagina 140
... circle was taken to be 64 81 d2 , where d is the diameter ; this was no doubt a standard value arrived at as the ... circle . According to some writers he began with a square , according to others with an equilateral triangle , inscribed ...
... circle was taken to be 64 81 d2 , where d is the diameter ; this was no doubt a standard value arrived at as the ... circle . According to some writers he began with a square , according to others with an equilateral triangle , inscribed ...
Pagina 173
... circle which is drawn or turned : this circle is perishable and perishes ; not so ( 4 ) , the essential circle , or the idea of circle ( avròs ó kúkλos ) : it is by reference to this that the other circles exist , and it is different ...
... circle which is drawn or turned : this circle is perishable and perishes ; not so ( 4 ) , the essential circle , or the idea of circle ( avròs ó kúkλos ) : it is by reference to this that the other circles exist , and it is different ...
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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according added algebra Apollonius appears Archimedes assumes base begins Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus divided draw drawn earth edition Elements equal equation equivalent Euclid expression fact figure five follows four geometry given gives greater Greek height Heron included inscribed Join known latter lemmas length less mathematics means measure meet mentioned method moon multiplied namely observations obtained original Pappus parallel particular perpendicular plane polygon position problem produced proof Prop proportion propositions proved Ptolemy pyramid Pythagoreans radius ratio rectangle reference regarded regular relation represented respectively result right angles segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory tion translation treatise triangle volume whole