 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...and the radivis of whose base is 5. PROPOSITION VI. THEOREM 608. The section of the lateral surface of a circular cone made by a plane parallel to the base is a circle. Hypothesis. A'B'C' is the section of circular cone S-ABC, made by a plane II base ABC whose center... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...of the base is 18 in. Find the altitude. 401. Theorem. — A section of the lateral surface of any circular cone made by a plane parallel to the base is a circle. O Hypothesis. 0-AB 0 is a circular cone ; DEF is a section of the lateral surface made by a plane parallel... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...and the cone is said to be inscribed in the pyramid. PROPOSITION XIX. THEOREM 667. The section of a cone made by a plane parallel to the base is a circle. V .' U ^/ B ~~ JG Let V-ABC be a cone, and abed a section parallel to the base ABCD. To prove abed... | |
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...cone passes through the center of every section parallel to the base. 2. Prove that the radius of the section of a circular cone made by a plane parallel to the base, and the radius of the base are proportional to the distances from the vertex to the cutting plane and... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...by a plane passing through its vertex is an isosceles triangle. PROPOSITION XXIX. THEOREM 681. Every section of a circular cone made by a plane parallel to the base is a circle. (483) (311) Given A'B'C', a section of cone V-ABC made by a plane II ABC, 0 the center of the base,... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...respectively 10 in. and 8 in., 708. Theorem. The section of a circular cone made by a plane parallel to its base is a circle, the center of which is the point where the axis intersects it. Given a circular cone V-ABC, with section EH made by the plane P parallel to the base.... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...are in the ratio of 1:3. 708. Theorem. The section of a circular cone made by a plane parallel to its base is a circle, the center of which is the point where the axis intersects it. Given a circular cone V-ABC, with section EH made by the plane P parallel to the base.... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...ADE and the cone. DE is a straight line. (?) .'. ADE is a A. (?) QED Proposition 293 Theorem Every section of a circular cone made by a plane parallel to the base is a circle, the centre of which is the intersection of the plane with the axis. Hypothesis. DFE is a section of the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...section, is a triangle. QED POLYHEDRONS, CYLINDERS, AND CONES PROPOSITION XXIX. THEOREM 681. Every section of a circular cone made by a plane parallel to the base is a circle. Given A'B'C', a section of cone V-ABC made by a plane II ABC, O the center of the base, and O', the... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...section is a hyperbola. §§ 147-149 105 Proposition 20. Section Parallel to Base 149. Theorem. The section of a circular cone made by a plane parallel to the base is a circle. Given a circular cone with the section A'B'C'D' made by the plane m II to the base. Prove that A'B'C'D'... | |
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Every section of a circular cone made by a plane parallel to the base is a circle. 
