The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 104
and of A and C certain equimultiples have been taken , -viz . , K and L ; and of B and D certain equimultiples G and H. Therefore , if K be greater than G , L is greater than H ; if equal , equal ; and if less , less ( V. Def . 5 ) .
and of A and C certain equimultiples have been taken , -viz . , K and L ; and of B and D certain equimultiples G and H. Therefore , if K be greater than G , L is greater than H ; if equal , equal ; and if less , less ( V. Def . 5 ) .
Σελίδα 118
A.B.C.D. Because A , B , and C are three magnitudes , and E , F , and G other three , which taken two and two , have the same ratio . Therefore , by the foregoing case , A is to C , as E is to G. But C is to D , as G is to H. Therefore ...
A.B.C.D. Because A , B , and C are three magnitudes , and E , F , and G other three , which taken two and two , have the same ratio . Therefore , by the foregoing case , A is to C , as E is to G. But C is to D , as G is to H. Therefore ...
Σελίδα 190
LEMMA I. If from the greater of two unequal magnitudes of the same kind , there be taken more than its half , and from the remainder more than its half ; and so on : there will at length remain a magnitude less than the least of the ...
LEMMA I. If from the greater of two unequal magnitudes of the same kind , there be taken more than its half , and from the remainder more than its half ; and so on : there will at length remain a magnitude less than the least of the ...
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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 |