The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 66
5 ) to the centre F G. Wherefore the diameter , & c . Q. E. D. This proposition might be proved by producing EH , cutting off the line thus produced a part equal to E K , and through the point of section , drawing a chord parallel to BC ...
5 ) to the centre F G. Wherefore the diameter , & c . Q. E. D. This proposition might be proved by producing EH , cutting off the line thus produced a part equal to E K , and through the point of section , drawing a chord parallel to BC ...
Σελίδα 82
If the diameter of a given circle be produced , and two points be taken on opposite sides of the centre , such that the rectangle contained by their distances from the centre is equal to the square of the radius , any circle which ...
If the diameter of a given circle be produced , and two points be taken on opposite sides of the centre , such that the rectangle contained by their distances from the centre is equal to the square of the radius , any circle which ...
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 . ... Spheres have to one another the triplicate ratio of that which their diameters have .
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 . ... Spheres have to one another the triplicate ratio of that which their diameters have .
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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 |