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" Every section of a circular cone made by a plane parallel to the base is a circle. "
Plane Geometry Developed by the Syllabus Method - Seite 297
von Eugene Randolph Smith - 1909 - 192 Seiten
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An Elementary Treatise on the Application of Trigonometry: To Orthographic ...

John Farrar - 1822 - 270 Seiten
...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 - 1822 - 244 Seiten
...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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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 Seiten
...made by a plane passing through the vertex is rectilineal, and, again, that every section which is made by a plane parallel to the base is a circle. The former follows from the definition (V. def. 4.) of a cone : the latter will be demonstrated at large...
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An Elementary Treatise on the Application of Trigonomentry to Orthographic ...

John Farrar - 1833 - 274 Seiten
...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 - 1833 - 276 Seiten
...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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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 Seiten
...made by a plane passing through the vertex is rectilineal, and, again, that every section which is made by a plane parallel to the base is a circle. The former follows from the definition (V. def. 4.) of a cone ; the latter will be demonstrated at large...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1837 - 216 Seiten
...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 - 1847 - 204 Seiten
...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 - 1872 - 124 Seiten
...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 - 1872 - 262 Seiten
...— 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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