A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 145
... curve is clearly p = a0 . Let the tangent at any point P of the spiral meet at T the straight line drawn from O at ... curve ' which he himself called " sister of the cochloid " , but which is the same as Nicomedes ' curve ' . The curve ...
... curve is clearly p = a0 . Let the tangent at any point P of the spiral meet at T the straight line drawn from O at ... curve ' which he himself called " sister of the cochloid " , but which is the same as Nicomedes ' curve ' . The curve ...
Pagina 146
... curve invented by Apollonius which resembled the cochloid . Apollonius did , however , write a tract on the curve which he called cochlias ; this is the cylindrical helix , and , as it is possible to use this curve for squaring the ...
... curve invented by Apollonius which resembled the cochloid . Apollonius did , however , write a tract on the curve which he called cochlias ; this is the cylindrical helix , and , as it is possible to use this curve for squaring the ...
Pagina 347
... curve produced by cutting a right cylinder by a plane obliquely inclined to its axis , when this occurred in real life ; they would then naturally try to investigate , and find geometri- cal expression for , the elongation of the curve ...
... curve produced by cutting a right cylinder by a plane obliquely inclined to its axis , when this occurred in real life ; they would then naturally try to investigate , and find geometri- cal expression for , the elongation of the curve ...
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