A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 125
... segment BACD is greater than a semicircle . Eudemus does not give the actual quadrature , but it is obvious . Since BD2 = 3 BA2 , ( segment on BD ) = 3 ( segment on BA ) = ( sum of segments on BA , AC , CD ) . Add to each the area ...
... segment BACD is greater than a semicircle . Eudemus does not give the actual quadrature , but it is obvious . Since BD2 = 3 BA2 , ( segment on BD ) = 3 ( segment on BA ) = ( sum of segments on BA , AC , CD ) . Add to each the area ...
Pagina 127
... ( segment on EF ) = ( segment on EK ) , or 2 ( segment on EF ) = 3 ( segment on EK ) = ( sum of segments on EK , KB , BG ) . Now ( the lune ) = segments on EK , KB , BG + ( trapezium EKBG ) - ( segment EFG ) . But the segment EFG is the ...
... ( segment on EF ) = ( segment on EK ) , or 2 ( segment on EF ) = 3 ( segment on EK ) = ( sum of segments on EK , KB , BG ) . Now ( the lune ) = segments on EK , KB , BG + ( trapezium EKBG ) - ( segment EFG ) . But the segment EFG is the ...
Pagina 222
... segment of a circle and the ' angle in a segment ' ( Defs . 6 , 8 ) , but also the ' angle of a segment ' ( Def . 7 ) . The last - named definition , as well as the part of Proposition 16 about the ' angle of a semicircle ' , are the ...
... segment of a circle and the ' angle in a segment ' ( Defs . 6 , 8 ) , but also the ' angle of a segment ' ( Def . 7 ) . The last - named definition , as well as the part of Proposition 16 about the ' angle of a semicircle ' , are the ...
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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