 | Webster Wells - Geometry - 1894 - 400 pages
...sphere ; in this case the sphere is said to be inscribed in the polyedron. PROPOSITION V. THEOREM. 581. A section of a sphere made by a plane is a circle. f Let ABC be a section of the sphere APC made by a plane. To prove ABC a circle. Let O be the centre... | |
 | John Macnie - Geometry - 1895 - 386 pages
...ways by the surface. 585. COR. All diameters of a sphere are equal. PROPOSITION V. THEOREM. 586. Every section of a sphere made by a plane is a circle. Given: A plane section ABC of a sphere whose center is O; To Prove: ABC is a circle. 1°. If the plane passes... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...points of such a surface are equally distant from the centre of the O. (?) PROP. IX. THEOREM. 566. A section of a sphere made by a plane is a circle. Given ABC a section of sphere APC made by a plane. To Prove ABC a O. Proof. Let O be the centre of the sphere,... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...equal. 3. Two spheres are equal if their radii or their diameters are equal. PROPOSITION I. THEOREM 738. A section of a sphere made by a plane is a .circle. Given the sphere 0, and POD a section made by a plane cutting the sphere. To prove that PCD is a circle.... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...equal, 3. Two spheres are equal if their radii or their diameters are equal. PROPOSITION I. THEOREM 738, A section of a sphere made by a plane is a circle. Given the sphere 0, and POD a section made by a plane cutting the sphere. To prove that POD is a circle.... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...distance from the center is less than, equal to, or greater than, the radius. THEOREM I 645. Every section of a sphere made by a plane is a circle. Given : ABCDE a section of the sphere O made by the plane M. To Prove : ABCDE a circle. Proof: Draw OO' JL... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...all points of such a surface are equally distant from the centre of the O. (?) PROP. I. THEOREM 517. A. section of a sphere made by a plane is a circle. P Given ABC a section of sphere APC made by a plane. To Prove ABC a 0. Proof. 1. If O is centre of... | |
 | Webster Wells - Geometry - 1908 - 329 pages
...all points of such a surface are equally distant from tlie centre of the O. (?) PROP. I. THEOREM 517. A section of a sphere made by a plane is a circle. p ^ 0 Given ABC a section of sphere APC made by a plane. To Prove ABC a O. Proof. 1. If 0 is centre... | |
 | United States. Office of Education - 1911 - 1154 pages
...12.49 inches; what Is the volume generated If the triangle revolves about one side? 11. Prove that a section of a sphere made by a plane is a circle. 12. What is the locus of the centers of spheres whose surfaces are tangent to all three sides of a... | |
 | Education - 1911 - 1030 pages
...12.49 inches; what is the volume generated if the triangle revolves about one side? 11. Prove that a section of a sphere made by a plane is a circle. 12. What is the locus of the centers of spheres whose surfaces are tangent to all three sides of a... | |
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Every section of a sphere made by a plane is a circle. Given CBD, the intersection of plane MN, and a sphere whose center is 0. 
