A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 24
... equivalent to saying that √3 = 1+ 43 55 23 + + 60 602 603 ' which again is equivalent to 1-7320509 . . . , and is correct to the seventh decimal place . PRACTICAL CALCULATION ( a ) The abacus . The essence of the abacus is the ...
... equivalent to saying that √3 = 1+ 43 55 23 + + 60 602 603 ' which again is equivalent to 1-7320509 . . . , and is correct to the seventh decimal place . PRACTICAL CALCULATION ( a ) The abacus . The essence of the abacus is the ...
Pagina 104
... equivalent is this . Bisect AB at C and draw CQ at right angles to AB and of length equal to b . Then , with Q as centre and a as radius , draw a circle . If ab , the circle will cut CB in some point D. By construction , CD2 = QD2 — QC2 ...
... equivalent is this . Bisect AB at C and draw CQ at right angles to AB and of length equal to b . Then , with Q as centre and a as radius , draw a circle . If ab , the circle will cut CB in some point D. By construction , CD2 = QD2 — QC2 ...
Pagina 399
... 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 propositions proves the ...
... 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 propositions proves the ...
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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according added algebra Apollonius appears Archimedes assumes base begins Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus divided draw drawn earth edition Elements equal equation equivalent Euclid expression fact figure five follows four geometry given gives greater Greek height Heron included inscribed Join known latter lemmas length less mathematics means measure meet mentioned method moon multiplied namely observations obtained original Pappus parallel particular perpendicular plane polygon position problem produced proof Prop proportion propositions proved Ptolemy pyramid Pythagoreans radius ratio rectangle reference regarded regular relation represented respectively result right angles segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory tion translation treatise triangle volume whole