A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 129
... joins BF . The fourth of Hippocrates ' quadratures is that of a certain lune plus a circle . H A K Let there be two ... Join GH , HI . Then GH , HI are sides of a regular hexagon inscribed in the outer circle . On GI draw a segment of a ...
... joins BF . The fourth of Hippocrates ' quadratures is that of a certain lune plus a circle . H A K Let there be two ... Join GH , HI . Then GH , HI are sides of a regular hexagon inscribed in the outer circle . On GI draw a segment of a ...
Pagina 252
... Join alternate angular points in one decagon , making a regular 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 alternate angular points in one decagon , making a regular 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 ...
Pagina 261
... Join A , B to the centre 0. Draw OC parallel to AB . Join CB , and draw DE parallel to BC meet- ing the circle again in E. Then shall BC , DE intercept between them an area equal to m / n of that of the circle . W Join AC . Then the ...
... Join A , B to the centre 0. Draw OC parallel to AB . Join CB , and draw DE parallel to BC meet- ing the circle again in E. Then shall BC , DE intercept between them an area equal to m / n of that of the circle . W Join AC . Then 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