The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 195
Therefore , the base ABC is to the base DEF , as the two prisms in the 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 .
Therefore , the base ABC is to the base DEF , as the two prisms in the 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 .
Seite 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 ...
Seite 198
But the solid B L is to the solid EO as ( V. 15 ) , the pyramid ABCG is to the pyramid DE FH ; for the pyramids are each the sixth part of the solids , since the prisms which are halves ( XI . 28 ) of the parallelopipeds are triple ...
But the solid B L is to the solid EO as ( V. 15 ) , the pyramid ABCG is to the pyramid DE FH ; for the pyramids are each the sixth part of the solids , since the prisms which are halves ( XI . 28 ) of the parallelopipeds are triple ...
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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
Bibliografische Informationen
| Titel | The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid Cassell's edition of Euclid Cassell's educational works |
| Autor/in | Euclid |
| Ausgabe | 82 |
| Verlag | Cassell, Petter, and Galpin, 1859 |
| Länge | 212 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |