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 12.
Σελίδα 195
... pyramid ABCG is to the two prisms in the pyramid DEFH . In like manner , if the pyramids now made , for example , the two OMNG , STYH , be similarly divided . The base B N CE OMN is to the base STY , as the two prisms in the pyramid OM ...
... pyramid ABCG is to the two prisms in the pyramid DEFH . In like manner , if the pyramids now made , for example , the two OMNG , STYH , be similarly divided . The base B N CE OMN is to the base STY , as the two prisms in the pyramid OM ...
Σελίδα 196
... 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 A B C G is to the solid Z. Therefore , by inversion , 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 A B C G is to the solid Z. Therefore , by inversion , the ...
Σελίδα 198
... pyramid ABCG is to the pyramid DEFH ; for the pyramids are each the sixth part of the solids , since the prisms which are halves ( XI . 28 ) of the parallelopipeds are triple ( XII . 7 ) of the pyramids . Therefore , likewise the ...
... pyramid ABCG is to the pyramid DEFH ; for the pyramids are each the sixth part of the solids , since the prisms which are halves ( XI . 28 ) of the parallelopipeds are triple ( XII . 7 ) of the pyramids . Therefore , likewise the ...
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A B and CD A B C D A B is equal adjacent angles altitude angle ABC 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 A B 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