| Timothy Walker - 1829 - 129 páginas
...the prism. We shall divide the reasoning into four distinct propositions. DEM. 1. — If a pyramid **be cut by a plane parallel to the base, the section is a** polygon similar to the base. Let GHIKL (fig. 93) be a section F 93 parallel to the base BCDE F. We... | |
| Eugenius Nulty - 1836 - 220 páginas
...denominated a solid of revolution. § 1. OF THE SECTIONS OF A CONE BY A PLANE. THEOREM I. 16. If a cone **be cut by a plane parallel to the base, the section is a circle.** D В Let AB С D be a cone, and EFG a section parallel to the base ABС ; this section is a circle.... | |
| A. Bell - 1837 - 164 páginas
...the solids between each of them and the base, are cylinders. • COR. 3. — If a cone or cylinder **be cut by a plane parallel to the base, the section is a circle.** COR. 4. — Any plane touching the axis of a cone or cylinder, cuts every parallel section in its diameter.... | |
| Isaac Wilber Jackson - 1845 - 87 páginas
...denominated the upper and lower nappes of the cone respectively. PROPOSITION I. THEOREM. If a conic surface **be cut by a plane parallel to the base, the section is** the circumference of a circle having its centre in the axis. Let ACBD (Fig. 29) be the base, S the... | |
| Samuel Hunter Christie - 1847
...surface of which passes through the vertices of the four solid angles of the pyramid. 6. If a cylinder **be cut by a plane parallel to the base, the section is a circle** equal to the base. 7. If a cone be cut by a plane passing through its axis, perpendicular to the base,... | |
| 1850
...denominated the upper and lower nappes of the cone respectively. PROPOSITION I. THEOREM. If a conic surface **be cut by a plane parallel to the base, the section is** the circumference of a circle having its centre in the axis. Let ACBD [Fig. 29, Plate V.] be the base,... | |
| 1850 - 96 páginas
...denominated the upper and lower nappes of the cone respectively. PROPOSITION I. THEOREM. If a conic surface **be cut by a plane parallel to the base, the section is** the circumference of a circle having its centre in the axis. Let ACBD [Fig. 29, Plate V.] be the base,... | |
| Eli Todd Tappan - 1864 - 276 páginas
...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 formed are... | |
| 1864
...the plane of the base at an angle other than a right angle. A truncated C. is the lower part of a C. **cut by a plane parallel to the base. — Four curves, called the CONIC** SECTIOSS, may be formed by cutting the right C. in different directions. If the C. be cut by a plane... | |
| 1868
...the plane of the base at an angle other than a right angle. A truncated C. is the lower part of a C. **cut by a plane parallel to the base. — Four curves,...called the CONIC SECTIONS, may be formed by cutting** tile right C. in different directions. If the C. be cut by a plane parallel to the base, the section... | |
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