...the conical surface; then section OCD is bounded by str. lines. THE CONE PROP. VII. THEOREM 497. A section of a circular cone made by a plane parallel to the base is a circle. S . Given A'B'C' a section of circular cone S-ABC, made by a plane II to the base. To Prove A'B'C'...

...145. A section of a 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...

...surface without being tangent intersects the surface in a second element also. PROPOSITION VI. 654. THEOREM. Every section of a circular cone made by...OGH a circular cone with base O — GH and a section O'-G'H' parallel to the base, O',G',H' being the points in which the plane intersects the elements...

...to the diameter and the volume of one is jV that of the other. Find the ratio of the altitudes. 654. THEOREM, Every section of a circular cone made by...circle. Given F — OGH a circular cone with base 0 — OH and a section O'—G'H' parallel to the base, 0', G',H' being the points in which the plane...

...surface without being tangent intersects the surface in a second element a/so. PROPOSITION VI. 666. THEOREM. Every section of a circular cone made by...GH and a section O'— G'H' parallel to the base, G', H', O' being the points in which the plane intersects the elements FG, FH, and the axis FO respectively....

...BC is a straight line. (480) .-. ABC, the section, is a triangle. QED 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, 0 the center of the base, and O ' , the point...

...the plane are straight lines. COKES PROPOSITION XXVI. THEOREM 365 601. In a circular cone a section made by a plane parallel to the base is a circle. Given the circular cone V-ABCD, with the section A'B'C'D1 parallel to the base. To prove that A'B'C'D' is...

...section A VB is a triangle, by § 28. QBD, PROPOSITION XXVI. THEOREM 601. In a circular cone a section made by a plane parallel to the base is a circle. Given the circular cone V-ABCD, with the section A'B'C'D' parallel to the base. To prove that A'B'C'D' is...

...surface and the plane are straight lines. PROPOSITION XXVI. THEOREM 601. In a circular cone a section made by a plane parallel to the base is a circle. Given the circular cone V-ABCD, with the section parallel to the base. To prove that A'B'C'D f is a circle....

...their areas are proportional to the squares of their distances from the vertex. [Mi.] (See II, 13.) 15. Every section of a circular cone made by a plane parallel to its base is a circle, the center of which is the intersection of the plane with the axis. [Ms.] 16....