The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 205
10 ) part of the cylinder upon the same base , and of the same altitude . Therefore also the cylinder has to the cylinder , the triplicate ratio of that which A C has to E G. Wherefore , similar cones , & c . Q E. D. PROP . XIII .
10 ) part of the cylinder upon the same base , and of the same altitude . Therefore also the cylinder has to the cylinder , the triplicate ratio of that which A C has to E G. Wherefore , similar cones , & c . Q E. D. PROP . XIII .
Seite 206
GD , any equimultiples whatever , viz . , the axis K M and cylinder GQ ; and it has been demonstrated , that if the axis K L be greater than the axis K M , the cylinder P G is greater than the cylinder G Q ; if equal , equal ; and if ...
GD , any equimultiples whatever , viz . , the axis K M and cylinder GQ ; and it has been demonstrated , that if the axis K L be greater than the axis K M , the cylinder P G is greater than the cylinder G Q ; if equal , equal ; and if ...
Seite 207
X section of the plane TY S and the cylinder E O is a circle ( XII . 13 , Cor . ) ES is a cylinder , of which the base is the circle E F G H , and altitude MP . Because the cylinder A X is equal to the cylinder EO . The cylinder A X is ...
X section of the plane TY S and the cylinder E O is a circle ( XII . 13 , Cor . ) ES is a cylinder , of which the base is the circle E F G H , and altitude MP . Because the cylinder A X is equal to the cylinder EO . The cylinder A X is ...
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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