A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 248
... bases and equal in content , whence it follows that any pyramid with triangular base ( and therefore also any pyramid with polygonal base ) is equal to one third part of the prism having the same base and equal height . Lastly , we have ...
... bases and equal in content , whence it follows that any pyramid with triangular base ( and therefore also any pyramid with polygonal base ) is equal to one third part of the prism having the same base and equal height . Lastly , we have ...
Pagina 295
... base . That is , if s be a generator and r the radius of the base , the curved surface of the cone is ( as we should say ) πrs and that of the cylinder 2πrs . We will illustrate Archimedes ' working of the method of exhaustion by the ...
... base . That is , if s be a generator and r the radius of the base , the curved surface of the cone is ( as we should say ) πrs and that of the cylinder 2πrs . We will illustrate Archimedes ' working of the method of exhaustion by the ...
Pagina 427
... base is a rectangle and has opposite to it , in a plane parallel to it , a smaller rectangle the sides of which are parallel respectively to the sides of the base but not necessarily in the same proportion as those sides . If a , b be ...
... base is a rectangle and has opposite to it , in a plane parallel to it , a smaller rectangle the sides of which are parallel respectively to the sides of the base but not necessarily in the same proportion as those sides . If a , b be ...
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