A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 222
... centre , according as the perpendi- culars on them from the centre are equal , greater , or less ( Defs . 4 , 5 ) . Euclid defines not only a segment of a circle and the ' angle in a segment ' ( Defs . 6 , 8 ) , but also the ' angle of ...
... centre , according as the perpendi- culars on them from the centre are equal , greater , or less ( Defs . 4 , 5 ) . Euclid defines not only a segment of a circle and the ' angle in a segment ' ( Defs . 6 , 8 ) , but also the ' angle of ...
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 360
... centre meeting the section on both sides of the centre , it will be bisected at the centre ' ( I. 30 ) . Conjugate diameters in an ellipse are dealt with in I. 15 in relation to the diameter of reference PP ' and its con- jugate DD ...
... centre meeting the section on both sides of the centre , it will be bisected at the centre ' ( I. 30 ) . Conjugate diameters in an ellipse are dealt with in I. 15 in relation to the diameter of reference PP ' and its con- jugate DD ...
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