The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 18
One angle of a triangle is greater than , equal to , or less than another , according as the side opposite to the former is greater than , equal to , or less than the side opposite to the latter . Corollary 2.
One angle of a triangle is greater than , equal to , or less than another , according as the side opposite to the former is greater than , equal to , or less than the side opposite to the latter . Corollary 2.
Σελίδα 109
A D- C- F- E For if A be not equal to B , one of them must be greater than the other . Let A be the greater . As in the preceding proposition , take D and E , equimultiples of A and B , and F a multiple of C , such that D may be greater ...
A D- C- F- E For if A be not equal to B , one of them must be greater than the other . Let A be the greater . As in the preceding proposition , take D and E , equimultiples of A and B , and F a multiple of C , such that D may be greater ...
Σελίδα 116
If there be three magnitudes , and other three , which , taken two and two , have the same ratio ; and if the first be greater than the third , the fourth is greater than the sixth ; if equal , equal ; and if less , less .
If there be three magnitudes , and other three , which , taken two and two , have the same ratio ; and if the first be greater than the third , the fourth is greater than the sixth ; if equal , equal ; and if less , less .
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole
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 |