A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 287
... volume of the sphere or spheroid itself ; ( 3 ) the volume of any segment cut off , by a plane at right angles to the axis , from any right - angled conoid ( paraboloid of revolution ) , sphere , spheroid , and obtuse - angled conoid ...
... volume of the sphere or spheroid itself ; ( 3 ) the volume of any segment cut off , by a plane at right angles to the axis , from any right - angled conoid ( paraboloid of revolution ) , sphere , spheroid , and obtuse - angled conoid ...
Pagina 301
... volume of the whole inscribed solid of revolution is equal to that of a cone with height h and base equal to the whole surface of the said solid . The volume of the sphere is , of course , greater than that of the inscribed solid ...
... volume of the whole inscribed solid of revolution is equal to that of a cone with height h and base equal to the whole surface of the said solid . The volume of the sphere is , of course , greater than that of the inscribed solid ...
Pagina 428
... ( volume of tore ) : c2 . 2α , παε ac which gives for the volume of the tore 22a2c . This expres- sion being the product of a2 and 2πc , the volume is seen to be the product of the area of the circular section and the circumference of the ...
... ( volume of tore ) : c2 . 2α , παε ac which gives for the volume of the tore 22a2c . This expres- sion being the product of a2 and 2πc , the volume is seen to be the product of the area of the circular section and the circumference 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