The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 200
1 ) than the excess of the cylinder above the triple of the cone . Let these cylindric segments be those upon the circular segments A E , E B , BF , FC , C G , GD , D H , and H A. Therefore the rest of the cylinder , that is , the prism ...
1 ) than the excess of the cylinder above the triple of the cone . Let these cylindric segments be those upon the circular segments A E , E B , BF , FC , C G , GD , D H , and H A. Therefore the rest of the cylinder , that is , the prism ...
Σελίδα 201
erect pyramids having the same vertex with the cone . Each of these pyramids is greater than the half of the segment of the cone which contains it , as was before demonstrated of the prisms and segments of the cylinder and thus ...
erect pyramids having the same vertex with the cone . Each of these pyramids is greater than the half of the segment of the cone which contains it , as was before demonstrated of the prisms and segments of the cylinder and thus ...
Σελίδα 203
Similar cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have . ... The cone whose base is the circle A B CD and vertex the point L , has to the cone whose base is the circle ...
Similar cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have . ... The cone whose base is the circle A B CD and vertex the point L , has to the cone whose base is the 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 |