The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 46
But the rect- angle N B.BD and the square of CB is equal ( II . 5 ) to the square of CD . And it has been proved that A D is equal to N B. Therefore the rectangle A D.D B , and the square of CB is equal to the square of CD . PROP .
But the rect- angle N B.BD and the square of CB is equal ( II . 5 ) to the square of CD . And it has been proved that A D is equal to N B. Therefore the rectangle A D.D B , and the square of CB is equal to the square of CD . PROP .
Σελίδα 48
Produce A B to D making B D equal to B C. Because the square of CD is equal ( II . 4 Cor . 2 ) to four times the square of CB ; and twice the rectangle AC . C D is equal ( II . Ax . 2 ) to four times the rectangle A C. C B. Therefore ...
Produce A B to D making B D equal to B C. Because the square of CD is equal ( II . 4 Cor . 2 ) to four times the square of CB ; and twice the rectangle AC . C D is equal ( II . Ax . 2 ) to four times the rectangle A C. C B. Therefore ...
Σελίδα 50
Because E C is equal to CA , the square of E C is equal to the square of CA. Therefore the squares of EC and CA are double of the square of CA. But the square of E A is equal ( I. 47 ) to the squares of EC and CA. Therefore the square ...
Because E C is equal to CA , the square of E C is equal to the square of CA. Therefore the squares of EC and CA are double of the square of CA. But the square of E A is equal ( I. 47 ) to the squares of EC and CA. Therefore the square ...
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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 |