 | William James Milne - Geometry - 1899 - 398 pages
...points win the axis of the cone pierce all the sections that are parallel to the base ? Theorem. Any section of a circular cone made by a plane parallel to the base is a circle. Data : Any circular cone, as Q-ABC and any section of it, as DEF, made by a plane parallel to the base.... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...section SBD is a triangle. §117 BOOK VII. SOLID GEOMETRY. PROPOSITION XXXVII. THEOREM. 718. Every section of a circular cone made by a plane parallel to the base is a circle. Let the section abed of the circular cone S-ABCD be parallel to the base. To prove that abed is a circle.... | |
 | Arthur Schultze - 1901 - 392 pages
...surface. (Why?) .'. ABC, the section, is a triangle. QED CONES PROPOSITION XXX. THEOREM 659. Every section of a circular cone made by a plane parallel to the base is a circle. Hyp. A'B'C'D' is a section of cone V-ABCD made by a plane II to ABCD, 0 the center of the base, 0'... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...by a plane passing through its vertex is an isosceles triangle. PROPOSITION XXX. THEOREM 659. Every section of a circular cone made by a plane parallel to the base is a circle. Hyp. A'B'C'D' is a section of cone V-ABCD made by a plane II to ABCD, 0 the center of the base, 0'... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...circular cone, its intersection with the plane of the base is tangent to the base. § 571. (3) Any section of a circular cone made by a plane parallel to the base is a circle, and its centre lies upon the straight line joining the vertex to the centre of the base. § 572. 4.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...surface. (Why?) .'. ABC, the section, is a triangle. QED CONES PROPOSITION XXX. THEOREM 659. Every section of a circular cone made by a plane parallel to the base is a circle. Hyp. A'B'C'D' is a section of cone V-ABCD made by a plane II to ABCD, O the center of the base, O'... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...straight lines. Therefore, the section SBD is a triangle. §117 PROPOSITION XXXVII. THEOREM. 718. Every section of a circular cone made by a plane parallel to the base is a circle. Let the section abed of the circular cone S-ABCD be parallel to the base. To prove that abed is a circle.... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...straight lines). Art. 81. QED ' *• BOOK VIII. SOLID GEOMETRY PROPOSITION VII. THEOREM 718. Every section of a circular cone made by a plane parallel to the base is a circle. Given the circular cone SAB with apb a section made by a plane parallel to the base. To prove apb a... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...bounded by three straight lines). QED BOOK VIII. SOLID GEOMETRY PROPOSITION VII. THEOREM 718. Every section of a circular cone made by a plane parallel to the base is a circle. Given the circular cone SAB with apb a section made by a plane parallel to the base. To prove apb a... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...section SBD is a triangle. §117 BOOK VII. SOLID GEOMETRY. PROPOSITION XXXVII. THEOREM. 718. 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.... | |
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Every section of a circular cone made by a plane parallel to the base is a circle. 
