A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 290
... axis of revolution . It is required to find the volume of any right segment ADC of the spheroid in terms of the ... axis AA ' and base the circle on KK ' as diameter , and imagine cones described with AG as axis and bases the circles on ...
... axis of revolution . It is required to find the volume of any right segment ADC of the spheroid in terms of the ... axis AA ' and base the circle on KK ' as diameter , and imagine cones described with AG as axis and bases the circles on ...
Pagina 312
... axis of the ellipse as the case may be . ... The axis AD of the segment is divided into a large number of equal parts , and through the points of division planes are drawn parallel to the base of the segment , making sections similar to ...
... axis of the ellipse as the case may be . ... The axis AD of the segment is divided into a large number of equal parts , and through the points of division planes are drawn parallel to the base of the segment , making sections similar to ...
Pagina 381
... axis of revolution , and a the radius of the circle , so that с a . The sections described by Proclus are made by planes parallel to the axis of revolution . Suppose the tore cut by such a plane at a distance d from the axis of ...
... axis of revolution , and a the radius of the circle , so that с a . The sections described by Proclus are made by planes parallel to the axis of revolution . Suppose the tore cut by such a plane at a distance d from the axis of ...
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