The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 104
Then E shall be to B as F to D. Take of E and F any equimultiples whatever , K and L ; and of B and D any equimultiples whatever , G and H. It may be shown as before , that K is the same multiple of A , that L is of C. Because A is to B ...
Then E shall be to B as F to D. Take of E and F any equimultiples whatever , K and L ; and of B and D any equimultiples whatever , G and H. It may be shown as before , that K is the same multiple of A , that L is of C. Because A is to B ...
Seite 106
and of A and C the first and third , G and H are equimultiples ; and of B and D , the second and fourth , E and F are equimultiples . But G is less than E. Therefore H is less than F ( V. Def . 5 ) , that is , F is greater than H.
and of A and C the first and third , G and H are equimultiples ; and of B and D , the second and fourth , E and F are equimultiples . But G is less than E. Therefore H is less than F ( V. Def . 5 ) , that is , F is greater than H.
Seite 114
Take of A B , BE , CD , and D F any equimultiples whatever GH , HK , LM , and MN ; and of BE , D F , any other equimultiples what- ever K O and N P. Because K O and N P are equimultiples of B E and DF ; and K H and N M are likewise ...
Take of A B , BE , CD , and D F any equimultiples whatever GH , HK , LM , and MN ; and of BE , D F , any other equimultiples what- ever K O and N P. Because K O and N P are equimultiples of B E and DF ; and K H and N M are likewise ...
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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 |