A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 107
... pentagon was known to them ; the method of formation of the solids agrees well with the known fact that the Pythagoreans put angles of certain regular figures together round a point and showed that only three of such angles would fill ...
... pentagon was known to them ; the method of formation of the solids agrees well with the known fact that the Pythagoreans put angles of certain regular figures together round a point and showed that only three of such angles would fill ...
Pagina 108
... pentagon on CD as base . The interest of the Pythagoreans in the regular penta- gon is further attested by the ' triple interwoven triangle ' or pentagram , i.e. the star - pentagon which , according to Lucian and the scholiast to the ...
... pentagon on CD as base . The interest of the Pythagoreans in the regular penta- gon is further attested by the ' triple interwoven triangle ' or pentagram , i.e. the star - pentagon which , according to Lucian and the scholiast to the ...
Pagina 252
... pentagon inscribed in the same circle ; do the same in the other circle , but so that the angular points of the second pentagon are not opposite those of the first pentagon . Join the angular points of one pentagon to the nearest ...
... pentagon inscribed in the same circle ; do the same in the other circle , but so that the angular points of the second pentagon are not opposite those of the first pentagon . Join the angular points of one pentagon to the nearest ...
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