 | 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... | |
 | 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... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...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... | |
 | 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... | |
 | 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... | |
 | Mathematics - 1835 - 684 pages
...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... | |
 | 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,... | |
 | 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... | |
 | 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... | |
 | 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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Every section of a circular cone made by a plane parallel to the base is a circle. 
