The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 73
Where- fore the angle BGC is not unequal to the angle EHF ; that is , the angle BGC is equal to the angle EHF . ... Therefore the angle at A is equal ( I. Ax . 7 ) to the angle at D. Where . fore , in equal circles , & c .
Where- fore the angle BGC is not unequal to the angle EHF ; that is , the angle BGC is equal to the angle EHF . ... Therefore the angle at A is equal ( I. Ax . 7 ) to the angle at D. Where . fore , in equal circles , & c .
Σελίδα 116
There- fore D has to E a greater ratio than C has to B ( V. 13 ) . Because B is to C , as E to F ( Hyp . ) . Therefore , by inversion , C is to B , as F is to E ( V. B ) . But D was shown to have to E a greater ratio than C has to B.
There- fore D has to E a greater ratio than C has to B ( V. 13 ) . Because B is to C , as E to F ( Hyp . ) . Therefore , by inversion , C is to B , as F is to E ( V. B ) . But D was shown to have to E a greater ratio than C has to B.
Σελίδα 200
2 ) ; and the cylindric seg- B ments , which are upon the circular segments , cut off by A B , BC , CD , and D A , are less than the parallelopipeds which contain them . There- fore the prisms upon the triangles A E B , BFC , CG D ...
2 ) ; and the cylindric seg- B ments , which are upon the circular segments , cut off by A B , BC , CD , and D A , are less than the parallelopipeds which contain them . There- fore the prisms upon the triangles A E B , BFC , CG D ...
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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 |