 | William Chauvenet - Geometry - 1871 - 380 pages
...surface, and the remaining perpendicular side OA generating thejjase. PROPOSITION IV.— THEOREM. 18. Every section of a cone made by a plane passing through its vertex it a triangle. Let the cone S-ABCD be cut by a plane SBC which passes through the vertex S and cuts... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...surface, and the remaining perpendicular side OA generating the base. PROPOSITION IV.—THEOREM. 18. Every section of a cone made by a plane passing through its vertex is a triangle. Let the cone S-ABCD be cut by a plane SBC which passes through the vertex 8 and cuts the base in the... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...its base is inscribed in the base of the cone. GEOMETRY. BOOK VII. PROPOSITION- XXXII. THEOREM. 655. Every section of a cone made by a plane passing through its vertex is a triangle. Let SBD be a section of the cone S-ABC through the vertex S. We are to prove the section SBD a triangle.... | |
 | William Chauvenet - Geometry - 1884 - 384 pages
...remaining perpendicular side OA generating the base. A f-'~- '.- A... PROPOSITION IV— THEOREM. 18. Every section of a cone made by a plane passing through its verttx is a triangle. Let the cone S-ABCD be cut by a plane SBC which passes through the vertex S and... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...surface, and the remaining perpendicular side OA generating the base. PROPOSITION III.—THEOREM. 15. Every section of a cone made by a plane passing through its vertex is a triangle. Let the cone S-ABCD be cut by a plane SBC, which passes through the vertex 8 and cuts the base in the... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 342 pages
...= AC, B'C' — BC, and A'B' = AB, since they subtend equal angles. PROPOSITION III.—THEOREM. 15. Every section of a cone made by a plane passing through its vertex is a triangle. Let the cone S-ABCD be cut by a plane SBC, which passes through the vertex S and cuts the base in the... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...cone passes through the centres of all the sections parallel to the base. EXERCISES. 1. Prove that every section of a cone made by a plane passing through its vertex is a triangle. 2. Required the volume of a circular cylinder whose altitude is 25 inches and diameter of the base... | |
 | George Albert Wentworth - Geometry - 1888 - 466 pages
...the portion of any element of the cone included between the bases. PROPOSITION XXXV. THEOBEM. 667. Every section of a cone made by a plane passing through its vertex is a triangle. Let a plane pass through the vertex S and cut the base in BD. To prove the section SBD a triangle.... | |
 | William Chauvenet - 1893 - 340 pages
...the centres of the bases passes through the centres of all the parallel sections. PROPOSITION III. Every section of a cone made by a plane passing through its vertex is a triangle. PROPOSITION IV. If the base of a cone is a circle, every section made by a plane parallel to the base... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...radii ; and their volumes are to each other as the cubes of their altitudes, or of their radii. 667. Every section of a cone made by a plane passing through its vertex is a triangle. 668. Every section of a circular cone made by a plane parallel to the base is a circle. 669. Cor. The... | |
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ABC, a section of the cone made by plane passing through vertex A. To prove ABC a triangle. Proof. 
