 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...intersection with th,e plane of the base ts tangent to the base. PROPOSITION IV 572. 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. s / / Let... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...the section, is a triangle. QED CONES PROPOSITION XXX. THEOREM 317 659. Every section of a circular cone made by a plane parallel to the base is a circle. ~_\D' 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,... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...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.... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...CD is a straight line, SCD is a triangle. QED PROPOSITION IX. THEOREM 1027. A section of a circular cone made by a plane parallel to the base is a circle. .8 Let MN be a section of the circular cone S-ABC parallel to the base. To Prove MN a circle. Proof.... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...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... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...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... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...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.... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...the section SBD is a triangle. § 134 QED PROPOSITION XXXV. THEOREM 732 Every section of a circular cone made by a plane parallel to the base is a circle. HYPOTHESIS. The section abd of the circular cone S-ABD is parallel to the base ABD. CONCLUSION. The... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...section SBD is a triangle. § 134 QED 356 CONES PROPOSITION XXXV. THEOREM 732 Every section of a circular cone made by a plane parallel to the base is a circle. HYPOTHESIS. The section abd of the circular cone S-ABD is parallel to the base ABD. CONCLUSION. The... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...Also CD is a straight line (?). .-. OCD is a A (?) (23). QED 684. i THEOREM. Any section of a circular cone made by a plane parallel to the base is a circle. , Given: Cone O — AB; circle C its base; section A'B' II to base. To Prove: A'B' also a O. Proof:... | |
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Every section of a circular cone made by a plane parallel to the base is a circle. 
