The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 58
Wherefore AB is bisected at F. Wherefore , if a straight line , & c . Q. E. D. Corollary . If there be any number of parallel chords in a circle , the diameter perpendicular to one of them bisects all of them . Exercise .
Wherefore AB is bisected at F. Wherefore , if a straight line , & c . Q. E. D. Corollary . If there be any number of parallel chords in a circle , the diameter perpendicular to one of them bisects all of them . Exercise .
Σελίδα 148
But G H is similar to E L. There- fore M N is similar to E L. Wherefore E L and M N are about the same diagonal F X. Produce LB to P , and A B to O. The straight line AB is produced to O as re- quired ( IV . 26 ) .
But G H is similar to E L. There- fore M N is similar to E L. Wherefore E L and M N are about the same diagonal F X. Produce LB to P , and A B to O. The straight line AB is produced to O as re- quired ( IV . 26 ) .
Σελίδα 159
Therefore FA and A G are equal to FB and B H , each to each , and the angle FAG has been proved equal to the angle FB H. Wherefore the base G F is equal ( I. 4 ) to the base FH . But it has been proved that G E is equal to EH , and E ...
Therefore FA and A G are equal to FB and B H , each to each , and the angle FAG has been proved equal to the angle FB H. Wherefore the base G F is equal ( I. 4 ) to the base FH . But it has been proved that G E is equal to EH , and E ...
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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 |