The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 183
For , if the bases EH and NP be equal , but the altitudes AG and CM not equal , neither is the solid A B equal to the solid CD . But the solids ( Hyp . ) are equal . Therefore the altitude CM is not unequal to the altitude A G ; that is ...
For , if the bases EH and NP be equal , but the altitudes AG and CM not equal , neither is the solid A B equal to the solid CD . But the solids ( Hyp . ) are equal . Therefore the altitude CM is not unequal to the altitude A G ; that is ...
Σελίδα 184
base E H is to the base NP , as the altitude of CD is to the altitude of A B. From the points F , B , K , and G ; X , D , R , and M , draw perpendiculars to the planes in which are the bases E H and N P , meeting those planes in the ...
base E H is to the base NP , as the altitude of CD is to the altitude of A B. From the points F , B , K , and G ; X , D , R , and M , draw perpendiculars to the planes in which are the bases E H and N P , meeting those planes in the ...
Σελίδα 207
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 to the cylinder ES as ( V. 7 ) the cylinder E O is to the cylinder E S. But the ...
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 to the cylinder ES as ( V. 7 ) the cylinder E O is to the cylinder E S. But the ...
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