 | William Minifie - Geometry, Descriptive - 1849 - 278 pages
...cylinder be cut by any plane parallel to its axis, the section will be a parallelogram, as EFG H, fig. 1. 5th. If a cylinder be cut by any plane at right angles...passing through its opposite sides, as at K. L or M. N, fig. 2, the section will be an ELLIPSIS, of which the line of section K. L or M. JV would be... | |
 | Arthur Ashpitel - Architecture - 1867 - 442 pages
...cut by any a cone. plane surface passing through its vertex, the section will be a triangle ; if cut at right angles to its axis, the section will be a circle ; if cut obliquely (as fig. 20), but at so flat an angle that the plane does not cut into the base,... | |
 | William Minifie - Geometry, Descriptive - 1890 - 298 pages
...cylinder be cut by any plane parallel to its axis, the section will be a parallelogram, as EFG H, fig. 1. 5th. If a cylinder be cut by any plane at right angles...passing through its opposite sides, as at K. L or M. JV, fig. 2, the section will be an ELLIPSIS, of which the line of section K. L or M. JV would be... | |
 | Archimedes - Geometry - 1897 - 532 pages
...through the axis of the paraboloid at right angles to the cutting plane. If the paraboloid be cut by a plane at right angles to its axis, the section will be a circle whose centre is on the axis. (2) If a hyperboloid of revolution be cut by a plane through the axis,... | |
 | Archimedes - Geometry - 1912 - 568 pages
...through the axis of the paraboloid at right angles to the cutting plane. If the paraboloid be cut by a plane at right angles to its axis, the section will be a circle whose centre is on the axis. (2) If a hyperboloid of revolution be cut by a plane through the axis,... | |
 | Morris Kline - Mathematics - 1990 - 434 pages
...parabola equal to the original parabola which generated the paraboloid .... If the paraboloid be cut by a plane at right angles to its axis, the section will be a circle whose center is on the axis. There are similar results for the hyperboloid and spheroid. Among principal... | |
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... 3rd. If the ends of a cylinder be not at right angles to its axis, it is called an OBLIQUE CYLINDER. 4th. If a cylinder be cut by any plane parallel to its axis, the section will be a parallelogram, as EFG H} fig. 1. 5th. If a cylinder be cut by any... 