A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 76
... drawn , be horizontal , i.e. parallel to the line of script . The difficulty is to decide what is meant by mryt . To judge by the figures alone , as drawn , it might be a ' side ' of the triangle other than the base . But in that case ...
... drawn , be horizontal , i.e. parallel to the line of script . The difficulty is to decide what is meant by mryt . To judge by the figures alone , as drawn , it might be a ' side ' of the triangle other than the base . But in that case ...
Pagina 339
... drawn as in the annexed diagram , where AD = EB ; and it is proved that , if the perpendicular to AB drawn through O , the centre of the semicircles ACB , DFE , meets those semicircles in C , F , the area included between the semi ...
... drawn as in the annexed diagram , where AD = EB ; and it is proved that , if the perpendicular to AB drawn through O , the centre of the semicircles ACB , DFE , meets those semicircles in C , F , the area included between the semi ...
Pagina 451
... drawn to a plane from an external point . ( 1 ) If from a point A above a plane a straight line AB be drawn perpendicular to the plane , and if from B , the foot of the perpendicular , a straight line BD be drawn perpendicular to EF ...
... drawn to a plane from an external point . ( 1 ) If from a point A above a plane a straight line AB be drawn perpendicular to the plane , and if from B , the foot of the perpendicular , a straight line BD be drawn perpendicular to EF ...
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