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" ... 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... "
Chambers's Encyclopædia: A Dictionary of Universal Knowledge for the People ... - Página 174
1878
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Elements of Geometry: With Practical Applications, for the Use of Schools

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...
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Elements of Geometry, Theoretical and Practical: Including Constructions of ...

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....
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

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....
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Elements of Conic Sections

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...
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An elementary course of mathematics, Volume 2

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,...
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ELEMENTS OF CONIC SECTIONS

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,...
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Elements of Conic Sections

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,...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

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...
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Chambers's Encyclopaedia: A Dictionary of Universal Knowledge for the People ...

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...
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Chambers's Encyclopaedia: A Dictionary of Universal Knowledge for ..., Volume 3

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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