The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Αποτελέσματα 1 - 3 από τα 88.
Σελίδα 17
... ABC . Therefore , if one side , & c . Q. E. D. The student should for the sake of practice , write out the ... A B C be any triangle ; any two of its angles are together less than two right angles . Produce B C to D. Because A CD is the ...
... ABC . Therefore , if one side , & c . Q. E. D. The student should for the sake of practice , write out the ... A B C be any triangle ; any two of its angles are together less than two right angles . Produce B C to D. Because A CD is the ...
Σελίδα 196
... ABC G. Neither can the base ABC be to the base DE F , as the pyramid A B C G to any solid greater than the pyramid DEFH . 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 B C G to any solid greater than the pyramid DEFH . 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
... 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 ...
... 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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A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore