A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 80
Sir Thomas Little Heath. ukha - thebt pir - em - us the pyramid . Now the seqet is the ratio 25 which is therefore the ratio of FE to EH , or what we call the co - tangent of the angle of slope of the faces of the pyramid . The ...
Sir Thomas Little Heath. ukha - thebt pir - em - us the pyramid . Now the seqet is the ratio 25 which is therefore the ratio of FE to EH , or what we call the co - tangent of the angle of slope of the faces of the pyramid . The ...
Pagina 249
... pyramid ( the equality of the prisms is proved in XI . 39 ) , and that the sum of the two prisms is greater than half the original pyramid . Proposition 4 proves that , if each of two given pyramids of the same height be so divided ...
... pyramid ( the equality of the prisms is proved in XI . 39 ) , and that the sum of the two prisms is greater than half the original pyramid . Proposition 4 proves that , if each of two given pyramids of the same height be so divided ...
Pagina 296
... pyramid cir- cumscribing the cone . Then ( polygon about A ) : ( polygon about B ) = C2 : E2 = C : D = = ( polygon about A ) : ( surface of pyramid exclud- ing base ) . Therefore ( surface of pyramid ) = ( polygon about B ) . But ...
... pyramid cir- cumscribing the cone . Then ( polygon about A ) : ( polygon about B ) = C2 : E2 = C : D = = ( polygon about A ) : ( surface of pyramid exclud- ing base ) . Therefore ( surface of pyramid ) = ( polygon about B ) . But ...
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