 | Robert Simson - Trigonometry - 1762 - 466 pages
...and cylinders of the f.ime altitude, are to one another as their bafcs. D. PROP. XII. THE OR. OIMILAR cones and cylinders have to one another the *'****...of that which the diameters of their bafes ha.ve. Let the cones and cylinders of which the bafes are the circles ABCD, EFGH, and the diameters of the... | |
 | Joseph Fenn - Mathematics - 1769 - 536 pages
...1. в . " PROPOSITION XII. THEOREM 311. OIMILAR cones (BFE & LOM), and cylinders (B ak E & L с d M) have to one another the triplicate ratio of that which the diameters (CD & IH) of their baies (BYDEP &c LTHMR), have. Hypothec«. Thefis. fķe ernes BFE W LOM, liiewife... | |
 | Robert Simson - Trigonometry - 1775 - 520 pages
...another as their bafes. Q^ED PROP. XII. THEO R. MILAR cones and cylinders have to ofle another s«N, the triplicate ratio of that which the diameters of their bafes have. .tJUtA the cones and cylinders of which the bafes are the circles ABCD, EFGH, and the diameters of... | |
 | Euclid - 1781 - 550 pages
...as their bafes. Q..ED PRO P. XII. TH, EO R. SIMILAR cones and cylinders have to one another See N. the triplicate ratio of that which the diameters of their bafes have.' Let the cones and cylinders of which the bafes are the circles ABCD, EFGH, and the diameters of the... | |
 | Robert Simson - Trigonometry - 1804
...another as their bafes. Q ED PROP. XII. THEOR. SIMILAR cones and cylinders have to one another ?ee N. the triplicate ratio of that which the diameters of their bafes have. Let the cones and cylinders of which the bafes are the circles ABCD, EFGH, and the diameters of the... | |
 | Euclid - Geometry - 1810 - 518 pages
...and cylinders of the same altitude are to one another as their bases. QED PROP. XII. THEOR. SIMILAR cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have. Let the cones and cylinders of which the-bases are the circles ABCD, EFGH, and the diameters... | |
 | John Mason Good - 1813 - 722 pages
...Cones and cylinders of the same altitude, are to one another as their bases. Prop. XII. Theor. Similar cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have. Prop. XIII. Theor. If a cylinder be cut by a plane parallel to its opposite planes, or... | |
 | Euclid - Geometry - 1837 - 410 pages
...cylinders upon them of the same altitude. Cones and cylinders, therefore, &c. PROP. XII. THEOR. SIMILAR cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have. If there be similar cones and cylinders of which the bases are the circles ABCD, EFGH;... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...and cylinders of the same altitude are to one another as their bases. QED PROP. XII. THEOR. SIMILAR cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have.* Let the cones and cylinders of which the bases are the circles ABCD, EFGH, and the diameters... | |
 | Euclides - 1841 - 378 pages
...and cylinders of the same altitude are to one another as their bases. QED PROP. XII. THEOR. Similar cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have. Let the cones and cylinders of which the bases arc the circles ABCD, EFGH, and the diameters... | |
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