A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 399
... Ptolemy's Table of Chords is equivalent to a table of sines of angles of 10 , 1o , 2o , and so on by quarters of a degree to 90 ° . Cos a is , of course , sin ( 90 ° -a ) and therefore equivalent to ( crd . 180 ° —2x ) . One of Ptolemy's ...
... Ptolemy's Table of Chords is equivalent to a table of sines of angles of 10 , 1o , 2o , and so on by quarters of a degree to 90 ° . Cos a is , of course , sin ( 90 ° -a ) and therefore equivalent to ( crd . 180 ° —2x ) . One of Ptolemy's ...
Pagina 407
... Ptolemy's formula equivalent to the above . By means of this formula we can deduce ( crd . 108 ° ) from ( crd . 72 ° ) , ( crd . 144 ° ) from ( crd . 36 ° ) , and so on . ( 3 ) ' Ptolemy's Theorem ' leading to the equivalent of sin ( 0 ...
... Ptolemy's formula equivalent to the above . By means of this formula we can deduce ( crd . 108 ° ) from ( crd . 72 ° ) , ( crd . 144 ° ) from ( crd . 36 ° ) , and so on . ( 3 ) ' Ptolemy's Theorem ' leading to the equivalent of sin ( 0 ...
Pagina 411
... Ptolemy deduces that ( crd . 1 ° ) is very nearly 0 ° 31 ′ 25 ′′ , and so , by the aid of the above pro- positions , he is able to complete his Table of Chords . To find approximately the chords of ... Ptolemy are included in vol PTOLEMY 411.
... Ptolemy deduces that ( crd . 1 ° ) is very nearly 0 ° 31 ′ 25 ′′ , and so , by the aid of the above pro- positions , he is able to complete his Table of Chords . To find approximately the chords of ... Ptolemy are included in vol PTOLEMY 411.
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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