 ... side of the triangle, CB, which remains fixed, is called the axis, or altitude of the cone, and the point C, the vertex of the cone21 If a cone be cut by a plane parallel to the base, the section will be a circle...  Elements of Geometry and Trigonometry - Side 138av C. Davies - 1867Uten tilgangsbegrensning - Om denne boken
 | Eli Todd Tappan - 1864 - 288 sider
...249 hight by the circumference of a section midway between the two bases (665). 728. Corollary. — If a cone be cut by a plane parallel to the base, the cone cut off is similar to the whole (656). EXERCISES. 729. — 1. Two cones are similar when they... | |
 | Euclides - 1865 - 80 sider
...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... | |
 | Euclides - 1865 - 402 sider
...planes passing through them will be parallel to either. 20. 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. N LOXDOX PR1STsD sY SPOTTISTOOnE AXD CO. XEW-8TRKKT SQCARE PATERNOSTKR... | |
 | Robert Potts - 1865 - 528 sider
...mean ratio in G, II, shew that GlfCB is a square. 64. If a pyramid with a polygon for its base 'ie cut by a plane parallel to the base, the section will be a polygon similar to the base. VIII. 65. If a straight line be at right angles to a plane, the intersection... | |
 | Eli Todd Tappan - 1868 - 444 sider
...249 hight by the circumference of a section midway between the two bases (665). *728. Corollary. — If a cone be cut by a plane parallel to the base, the cone cut off is similar to the whole (656). EXERCI8E8. 729. — 1. Two cones are similar when they... | |
 | Robert Potts - 1868 - 434 sider
...which these two lines shall be two of the edges. 35. If a pyramid with a polygon for its base be out 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 - 1873 - 288 sider
...249 hight by the circumference of a section midway between the two bases (665). 72S. Corollary — If a cone be cut by a plane parallel to the base, the cone cut off is similar to the whole (656). EXERCISES. 9. — 1. Two cones are similar when they are... | |
 | Robert Potts - 1876 - 446 sider
...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... | |
 | Charles Davies - 1886 - 352 sider
...remains fixed, 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,...while in the revolution of the right angled triangle SA C, the line CA describes the base of the cone, its parallel FG will describe a circle FKHI, parallel... | |
 | Ephraim Hunt - 1894 - 118 sider
...four are called conic sections. Because they can all be made by cutting a right cone properly. If the cone be cut by a plane parallel to the base, the section is a circle. Cut through the cone obliquely, the section is an ellipse. A section parallel to a side... | |
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