The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 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 ...
Σελίδα 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.
Σελίδα 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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Πληροφορίες βιβλιογραφίας
| Τίτλος | 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 |
| Συγγραφέας | Euclid |
| Έκδοση | 82 |
| Εκδότης | Cassell, Petter, and Galpin, 1859 |
| Μέγεθος | 212 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |