...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'...

...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...

...ABC, the section, is a triangle. QED 386 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...

...intersects the surface in a second element also. PROPOSITION VI. 655. THEOREM. Every section of a circular cone made by a plane parallel to the base is a circle. Given F — OGH a circular cone with base O — GH and a section O'— G'H' parallel to the base, (?',...

...of AB on XY. SOLID GEOMETRY 315. THEOREM. If the base, of a cone is a circle, every section of the cone made by a plane parallel to. the base is a circle. s Given S-ABC, a cone whose base ABC is a circle with center 0 ; AfB'C' a section of S-ABC made by...

...Find the radius of the sphere and the area of the zone. 5. (a) Prove that the section of a circular cone made by a plane parallel to the base is a circle. (b) Given a circular cone of altitude h and with a base of radius r. Find the volume of the cone cut...

...and the cone is said to be inscribed in the pyramid. PROPOSITION XIX. THEOREM 667. The section of a cone made by a plane parallel to the base is a circle. V .' U ^/ B ~~ JG Let V-ABC be a cone, and abed a section parallel to the base ABCD. To prove abed...

...base is 18 in. Find the altitude. 401. Theorem. — A section of the lateral surface of any circular cone made by a plane parallel to the base is a circle. O Hypothesis. 0-AB 0 is a circular cone ; DEF is a section of the lateral surface made by a plane parallel...

...projection (§ 575) of the center of projection. PROPOSITION VII. THEOREM 666. Every section of a circular cone made by a plane parallel to the base is a circle. Given the circular cone V-ABCD, with the section A'.B'C'D' made by a plane parallel to the base. To...

...radivis of whose base is 5. PROPOSITION VI. THEOREM 608. The section of the lateral surface of a circular cone made by a plane parallel to the base is a circle. Hypothesis. A'B'C' is the section of circular cone S-ABC, made by a plane II base ABC whose center...