The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 159
But the base DF has been proved equal to the base F C. Therefore the angle FAD is equal ( I. 8 ) to the angle FBC . But it has been proved that GA is equal to B H , and also A F to FB . Therefore FA and A G are equal to FB and B H ...
But the base DF has been proved equal to the base F C. Therefore the angle FAD is equal ( I. 8 ) to the angle FBC . But it has been proved that GA is equal to B H , and also A F to FB . Therefore FA and A G are equal to FB and B H ...
Σελίδα 166
In like manner , it may be proved that all planes which pass through A B are at right angles to the plane CK . Therefore , if a straight line , & c . Q. E. D. PROP . XIX . THEOREM . If two planes which cut one another be each of them ...
In like manner , it may be proved that all planes which pass through A B are at right angles to the plane CK . Therefore , if a straight line , & c . Q. E. D. PROP . XIX . THEOREM . If two planes which cut one another be each of them ...
Σελίδα 173
solid angles contained by more than three plane angles , may be proved to be equal and similar to one another . Q. E. D. This proposition is not sufficiently general , as it refers only to rectangular parallelo- pipeds , which are equal ...
solid angles contained by more than three plane angles , may be proved to be equal and similar to one another . Q. E. D. This proposition is not sufficiently general , as it refers only to rectangular parallelo- pipeds , which are equal ...
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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 |