The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 17
In the same manner , if the side B C be bisected , and A C be produced to G , it may be demonstrated that the angle B C G , is greater than the angle ABC . But the angle A CD is equal ( I. 15 ) to the angle BC G. Therefore the angle A ...
In the same manner , if the side B C be bisected , and A C be produced to G , it may be demonstrated that the angle B C G , is greater than the angle ABC . But the angle A CD is equal ( I. 15 ) to the angle BC G. Therefore the angle A ...
Σελίδα 196
ABC G. Neither can the base ABC be to the base DE F , as the pyramid A BCG to any solid greater than the pyramid DEF H. For , if it be possible , let this greater solid be Z. Because the base A B C is to the base D E F as the pyramid ...
ABC G. Neither can the base ABC be to the base DE F , as the pyramid A BCG to any solid greater than the pyramid DEF H. For , if it be possible , let this greater solid be Z. Because the base A B C is to the base D E F as the pyramid ...
Σελίδα 212
Let A B C and D E F be two spheres , of which the diameters are BC and EF . The sphere A B C has to the sphere D E F the triplicate ratio of that which BC has to EF . For , if not , the sphere A B C must have to a sphere either less or ...
Let A B C and D E F be two spheres , of which the diameters are BC and EF . The sphere A B C has to the sphere D E F the triplicate ratio of that which BC has to EF . For , if not , the sphere A B C must have to a sphere either less or ...
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