A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 142
... circumscribed polygons ( or squares ) , and assumed another polygon ( or square ) described which is intermediate be- tween the inscribed and circumscribed figures . Then he sought to relate the area of the circle to the intermediate ...
... circumscribed polygons ( or squares ) , and assumed another polygon ( or square ) described which is intermediate be- tween the inscribed and circumscribed figures . Then he sought to relate the area of the circle to the intermediate ...
Pagina 295
... circumscribed to the cone ( or cylinder ) . He thus finds the surfaces of the inscribed and circumscribed pyramids ( or prisms ) , and then proves that the surfaces of the circumscribed figures ( excluding the bases ) are greater , and ...
... circumscribed to the cone ( or cylinder ) . He thus finds the surfaces of the inscribed and circumscribed pyramids ( or prisms ) , and then proves that the surfaces of the circumscribed figures ( excluding the bases ) are greater , and ...
Pagina 314
Sir Thomas Little Heath. cylinder in the circumscribed figure . The difference be- tween the circumscribed and inscribed figures is therefore equal to the last element - cylinder of which BB ' is the base and ND the axis . As the last ...
Sir Thomas Little Heath. cylinder in the circumscribed figure . The difference be- tween the circumscribed and inscribed figures is therefore equal to the last element - cylinder of which BB ' is the base and ND the axis . As the last ...
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