The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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erect pyramids having the same vertex with the cone . Each of these pyramids is greater than the half of the segment of the cone which contains it , as was before demonstrated of the prisms and segments of the cylinder and thus ...
erect pyramids having the same vertex with the cone . Each of these pyramids is greater than the half of the segment of the cone which contains it , as was before demonstrated of the prisms and segments of the cylinder and thus ...
Seite 202
cone , and so on ; there will at length remain some segments of the cone which are together less ( XII . Lem . 1 ) than the solid Z ; let these be the segments upon EO , OF , FP , PG , GR , RH , HS , and SE . There- fore the remainder ...
cone , and so on ; there will at length remain some segments of the cone which are together less ( XII . Lem . 1 ) than the solid Z ; let these be the segments upon EO , OF , FP , PG , GR , RH , HS , and SE . There- fore the remainder ...
Seite 204
the cone ABCDL has to the solid X the triplicate of that which AC has to E G. Therefore the cone ABCDL is to the solid X , as the pyramid upon the polygon DQATBY CV , with vertex L , is to the pyramid upon the polygon HSEOFPGR ...
the cone ABCDL has to the solid X the triplicate of that which AC has to E G. Therefore the cone ABCDL is to the solid X , as the pyramid upon the polygon DQATBY CV , with vertex L , is to the pyramid upon the polygon HSEOFPGR ...
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The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Keine Leseprobe verfügbar - 2016 |
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third triangle triangle ABC twice vertex Vols Wherefore whole