The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 46
If a straight line be divided into any two parts , the squares of the whole line , and of one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square of the other part .
If a straight line be divided into any two parts , the squares of the whole line , and of one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square of the other part .
Σελίδα 49
If , therefore , a straight line be divided , & c . Q. E. D. Otherwise . - Because BC is divided into any two parts at D , the square of BD , and twice the rectangle BC.CD are together equal ( II . 7 ) to the squares of BC and CD .
If , therefore , a straight line be divided , & c . Q. E. D. Otherwise . - Because BC is divided into any two parts at D , the square of BD , and twice the rectangle BC.CD are together equal ( II . 7 ) to the squares of BC and CD .
Σελίδα 52
In every triangle , the square of the side subtending either of the acute angles , is less than the squares of the sides containing that angle , by twice the rectangle contained by either of these sides , and the straight line ...
In every triangle , the square of the side subtending either of the acute angles , is less than the squares of the sides containing that angle , by twice the rectangle contained by either of these sides , and the straight line ...
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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 |