The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 98
second , the multiple of the third is also equal to that of the fourth : or , if the multiple of the first be greater than that of the second , the mul- tiple of the third is also greater than that of the fourth .
second , the multiple of the third is also equal to that of the fourth : or , if the multiple of the first be greater than that of the second , the mul- tiple of the third is also greater than that of the fourth .
Seite 103
third , is of D the fourth ; and of A and C let equimultiples EF and GH be taken . EF is the same multiple of B , that GH is of D. Divide E F into the magni- tudes EK and K F , each equal to A ; and GH into GL and LH , each equal to C.
third , is of D the fourth ; and of A and C let equimultiples EF and GH be taken . EF is the same multiple of B , that GH is of D. Divide E F into the magni- tudes EK and K F , each equal to A ; and GH into GL and LH , each equal to C.
Seite 166
If two planes which cut one another be each of them perpendicular to a third plane ; their common section is perpendicular to the same plane . Let the two planes A B and B C be each of them perpendicular to a third plane .
If two planes which cut one another be each of them perpendicular to a third plane ; their common section is perpendicular to the same plane . Let the two planes A B and B C be each of them perpendicular to a third plane .
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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 |