A Manual of Greek MathematicsDover Publications, 1963 - 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 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