A Manual of Greek MathematicsDover Publications, 1963 - 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 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
Copyright | |
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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