A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 285
... centre of gravity ' , KEVTроßаρiκá , such as those of Archimedes ' , showing how to find the centre of gravity , and adds the explanation that the centre of gravity is ' the point in a body such that , if the body is hung from it , the ...
... centre of gravity ' , KEVTроßаρiκá , such as those of Archimedes ' , showing how to find the centre of gravity , and adds the explanation that the centre of gravity is ' the point in a body such that , if the body is hung from it , the ...
Pagina 293
... centre of gravity of the cone AEF as well as its volume ) find the centre of gravity of the segment of the spheroid . Incidentally , in Proposition 13 , Archimedes finds the centre of gravity of the half of a right cylinder cut off by a ...
... centre of gravity of the cone AEF as well as its volume ) find the centre of gravity of the segment of the spheroid . Incidentally , in Proposition 13 , Archimedes finds the centre of gravity of the half of a right cylinder cut off by a ...
Pagina 325
... centre of gravity of the segment is nearer to A than the centre of gravity of the inscribed figure is : but the interval between the two can be made as small as we please by increasing sufficiently the number of the sides of the ...
... centre of gravity of the segment is nearer to A than the centre of gravity of the inscribed figure is : but the interval between the two can be made as small as we please by increasing sufficiently the number of the sides of 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