The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 200
Therefore the pyramid upon the base A EBFCGDH is greater than the cone upon the circle A B C D ; but it is also less , for the pyramid is contained within the cone , which is impossible . There- fore the cylinder is not greater than the ...
Therefore the pyramid upon the base A EBFCGDH is greater than the cone upon the circle A B C D ; but it is also less , for the pyramid is contained within the cone , which is impossible . There- fore the cylinder is not greater than the ...
Σελίδα 207
11 ) as the base A B C D is to the base EFGH ; for the cylinders A X and ES are of the same altitude ; and the cylinder EO is to the cylinder ES ( XII . 13 ) as the altitude MN is to the altitude M P , because the cylinder EO is cut by ...
11 ) as the base A B C D is to the base EFGH ; for the cylinders A X and ES are of the same altitude ; and the cylinder EO is to the cylinder ES ( XII . 13 ) as the altitude MN is to the altitude M P , because the cylinder EO is cut by ...
Σελίδα 208
If two trapeziums A B C D and E F G H be inscribed in the circles , the centres of which are the points K and L ; and if the sides A B and D C be parallel , as also E F and HG ; and the other four sides AD , BC , E H , and FG , be all ...
If two trapeziums A B C D and E F G H be inscribed in the circles , the centres of which are the points K and L ; and if the sides A B and D C be parallel , as also E F and HG ; and the other four sides AD , BC , E H , and FG , be all ...
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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 touch triangle triangle ABC twice vertex Vols Wherefore whole