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" Every section of a circular cone made by a plane parallel to the base is a circle. "
An Elementary Treatise on the Application of Trigonomentry to Orthographic ... - Página 6
por John Farrar - 1833 - 155 páginas
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Third-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - 1917 - 408 páginas
...section of a cone made by a plane passing through the vertex is a triangle. 13. A section of a circular cone made by a plane parallel to the base is a circle. 14. // a pyramid is cut by a plane parallel to the base, the edges and altitude are divided proportionally;...
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Solid Geometry Developed by the Syllabus Method

Eugene Randolph Smith, William Henry Metzler - 1918 - 232 páginas
...pyramid made by a plane through the vertex is a triangle. 161. Theorem XVII. A section of 'a circular cone made by a plane parallel to the base is a circle, the center of which is the point where the axis meets it. Show that the sects from this point to the...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1918 - 486 páginas
...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,...
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Solid Geometry

Charles Austin Hobbs - 1921 - 216 páginas
...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...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1913 - 484 páginas
...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...
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Essentials of Solid Geometry

David Eugene Smith - 1924 - 256 páginas
...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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