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" Every section of a circular cone made by a plane parallel to the base is a circle. Let the section abcd of the circular cone S-ABCD be parallel to the base. To prove that abcd is a circle. "
Plane and Solid Geometry - Page 416
by Fletcher Durell - 1911 - 546 pages
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An Elementary Treatise on the Application of Trigonometry to Orthographic ...

John Farrar - Logarithms - 1822 - 244 pages
...a circle ; since the cone formed, as above described, is a right cone, and every section of a right cone, made by a plane parallel to the base, is a circle. When, however, the circle is oblique to the plane of projection, the cone formed by the visual rays...
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An Elementary Treatise on the Application of Trigonometry: To Orthographic ...

John Farrar - Logarithms - 1822 - 270 pages
...a circle ; since the cone formed, as above described, is a right cone, and every section of a right cone, made by a plane parallel to the base, is a circle. When, however, the circle is oblique to the plane of projection, the cone formed by the visual rays...
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An Elementary Treatise on the Application of Trigonomentry to Orthographic ...

John Farrar - Trigonometry - 1833 - 274 pages
...a circle ; since the cone formed, as above described, is a right cone, and every section of a right cone, made by a plane parallel to the base, is a circle. When, however, the circle is oblique to the plane of projection, the cone formed by the visual rays...
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An Elementary Treatise on the Application of Trigonomentry to Orthographic ...

John Farrar - Trigonometry - 1833 - 276 pages
...a circle ; since the cone formed, as above described, is a right cone, and every section of a right cone, made by a plane parallel to the base, is a circle. When, however, the circle is oblique to the plane of projection, the cone formed by the visual rays...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...NOP — BCD, &c. The polygons are therefore similar, by art. 169. 378. Corollary. The section of a cone made by a plane parallel to the base is a circle. 379. Corollary. If the perpendicular ST is let fall from S upon the base, meeting the section at R,...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...C, JVOP = B CD, &c. The polygons are therefore similar, by i5 170. 378. Corollary. The section of a cone made by a plane parallel to the base is a circle. Equivalent Pyramids and Cones. 379. Corollary. If the perpendicular ST is let fall from S upon the...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...we should find Therefore the polygons GI and BD are similar (II. 19). 40. Corollary. A section of a cone made by a plane parallel to the base is a circle. THEOREM VIII. 41 1 The convex surface of a right pyramid is equal to the perimeter of its base multiplied...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 262 pages
...— IH:DC, &c. Therefore the polygons GI and BD are similar (II. 19). 40, Corollary. A section of a cone made by a plane parallel to the base is a circle. THEOREM VIII. 41 i The convex surface of a right pyramid is equal to the perimeter of its base multiplied...
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Annual Statement, Volumes 11-20

1876 - 646 pages
...triedral angle is greater than the third. 7. If the base of a cone is a circle, every section of the cone made by a plane parallel to the base is a circle. 8. Calculate the area in square feet of a spherical triangle on a sphere whose radius is 10 ft., the...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...planes is a straight line). .'. the section SB D is а Д. § 446 QED PROPOSITION XXXIII. THEOREM. 656. Every section of a circular cone made by a plane parallel to the base is a circle. S Let the section ab e of the circular cone SA B С be parallel to the base. We are to prove that ab...
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