 | Charles Davies - Geometry - 1850 - 218 pages
...is called the axis, or altitude of the cone, and the point C, the vertex of the cone. 21. If a cone be cut by a plane parallel to the base, the section will be a circle. For, while in the revolution of the right angled triangle SAC, the line CA describes the base of the... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...is called the axis, or altitude of the cone, and the point C, the vertex of the cone. 21. If a cone be cut by a plane parallel to the base, the section will be a circle. For, while in the revolution of the right angled triangle SAC, the line CA describes the base of the... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...the axis, the section will be a parallelogram (a rectangle in the right cylinder) ; if the plane be parallel to the base, the section will be a circle equal to the base ; if it have any other position, an ellipse will be formed. Every cylinder may be considered as a prism... | |
 | 1851 - 716 pages
...the axis, the section will be a parallelogram (a rectangle in the right cylinder) ; if the plane be parallel to the base, the section will be a circle equal to the base ; if it have any other position, an ellipse will be formed. Every cylinder may be considered as a prism... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...will have a reversed position, as may be seen in the figure. PROPOSITION XXIV. If a cylinder or cone be cut by a plane parallel to the base, the section will be a circle ; and in the cylinder this circle will be also equal to the base. (1.) Let ABC be the base of a cylinder,... | |
 | Anthony Nesbit - Measurement - 1859 - 494 pages
...cone, and any part of the base, the section will be a triangle. 3. If a cone be cut into two parts, by a plane parallel to the base, the section will be a circle. 4. If a cone be cut by a plane passing through its two slant sides, in an oblique direction, the section... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...the axis, the section will be a parallelogram (a rectangle in the right cylinder) ; if the plane be parallel to the base, the section will be a circle equal to the base ; if it have any other position, an ellipse will be formed. Every cylinder may be considered as a prism... | |
 | Euclides - 1864 - 448 pages
...parallelepiped of which these two lines shall be two of the edges. 35. If a pyramid with a polygon for its base be cut by a plane parallel to the base, the section will be a polygon similar to the base. 36. If a straight line be at right angles to a plane, the intersection... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...surface of a cone, or of a cylinder, moves in a plane parallel to the base (565). Therefore^ if a cone or a cylinder be cut by a plane parallel to the base, the section is a circle. ferent modes in which it is possible for the intersection to take place. The curves thus... | |
 | Euclides - 1865 - 80 pages
...intersected from the vertex by a plane passing along the axis, the section will be a triangle ; if cut by a plane parallel to the base, the section will be a circle ; and these two figures belong to plane geometry. But if a cone be cut by a plane parallel to another... | |
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... or cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a... 
