The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 99
X. When three magnitudes are continual proportionals , the first is said to have to the third the duplicate ratio of that ... the ratio of the first to the third is compounded of two equal ratios - viz . , the ratio of the first to the ...
X. When three magnitudes are continual proportionals , the first is said to have to the third the duplicate ratio of that ... the ratio of the first to the third is compounded of two equal ratios - viz . , the ratio of the first to the ...
Σελίδα 120
Let A be to B , as D is to E ; and B to C , as E is to F. The ratio compounded of the ratios of A to B , and of B to C ... A , B , and C , and other three D , E , and F , which , taken two and two , in order , have the same ratio .
Let A be to B , as D is to E ; and B to C , as E is to F. The ratio compounded of the ratios of A to B , and of B to C ... A , B , and C , and other three D , E , and F , which , taken two and two , in order , have the same ratio .
Σελίδα 212
ratio of that which A B has to the radius of the less ; that is , which the diameter B D of the greater has to the diameter of the less sphere . Corollary 2. - Every face of a polyhedron inscribed in a sphere is inscribable in a circle ...
ratio of that which A B has to the radius of the less ; that is , which the diameter B D of the greater has to the diameter of the less sphere . Corollary 2. - Every face of a polyhedron inscribed in a sphere is inscribable in a circle ...
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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 |