 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 - Sivu 416tekijä(t) Fletcher Durell - 1911 - 546 sivuaKoko teos - Tietoja tästä kirjasta
 | John Farrar - 1822 - 244 sivua
...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 - 1822 - 270 sivua
...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 - 1833 - 274 sivua
...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 - 1833 - 276 sivua
...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... | |
 | Benjamin Peirce - 1837 - 216 sivua
...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 - 1847 - 204 sivua
...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 - 1872 - 124 sivua
...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... | |
 | William Frothingham Bradbury - 1872 - 262 sivua
...— 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... | |
 | 1876 - 646 sivua
...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... | |
 | George Albert Wentworth - 1877 - 426 sivua
...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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