A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 124
... circumference the circumference of a semicircle . The inner circumference was arrived at in this way . Joining the extremities of the diameter to the middle point of the arc of the semicircle , we have an isosceles triangle the sides of ...
... circumference the circumference of a semicircle . The inner circumference was arrived at in this way . Joining the extremities of the diameter to the middle point of the arc of the semicircle , we have an isosceles triangle the sides of ...
Pagina 126
... circumference of the segment on BD ; therefore ( trapezium BACD ) = ( the lune ) . Hippocrates ' third quadrature relates to a lune in which the outer circumference is less than a semicircle . The construction is important , and part of ...
... circumference of the segment on BD ; therefore ( trapezium BACD ) = ( the lune ) . Hippocrates ' third quadrature relates to a lune in which the outer circumference is less than a semicircle . The construction is important , and part of ...
Pagina
... circumference ; they made the area to be C2 , where C is the length of the circumference , which , on the assumption that 3 , is right . π = But some other cases of mensuration recently explained are remarkable as being more akin to ...
... circumference ; they made the area to be C2 , where C is the length of the circumference , which , on the assumption that 3 , is right . π = But some other cases of mensuration recently explained are remarkable as being more akin to ...
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