| George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 168 pages
...radius, diameter, as applied to a sphere, will be plain from their definitions as applied to a circle. **Every section of a sphere made by a plane is a circle.** The circle is called a great circle if the plane passes through the centre, a small circle in all other... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...point of the smaller sphere lying within the larger one ? SOLID GEOMETRY PROPOSITION I. THEOREM 675. **Every section of a sphere made by a plane is a circle.** Hyp. CBD is the intersection of plane MN, and a sphere whose center is O. To prove CBD is a circle.... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...point of the smaller sphere lying within the larger one ? SOLID GEOMETRY PROPOSITION I. THEOREM 675. **Every section of a sphere made by a plane 'is a circle.** Hyp. CBD is the intersection of plane MN, and a sphere whose center is 0. To prove CBD is a circle.... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...in. Is every point of the smaller sphere lying within the larger one ? PROPOSITION I. THEOREM 675. **Every section of a sphere made by a plane is a circle.** Hyp. CBD is the intersection of plane MN, and a sphere whose center is 0. To prove CBD is a circle.... | |
| George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...each other when their surfaces have one, and only one, point in common. PROPOSITION I. THEOREM. 743. **Every section of a sphere made by a plane is a circle. Let** 0 be the centre of the sphere, and ABD any section made by a plane. To prove that the section ABD is... | |
| Alan Sanders - Geometry - 1903 - 396 pages
...be generated by revolving a semicircle about its diameter as an axis. PROPOSITION I. THEOREM 1057. **Every section of a sphere made by a plane is a circle. Let** BCE be a section made by a plane cutting the sphere whose center is O. To Prove BCE a circle. Proof.... | |
| George Albert Wentworth - Geometry - 1904 - 496 pages
...their surfaces have one, and only one, point in common. THE SPHERE. PROPOSITION I. THEOREM. \/ 743. **Every section of a sphere made by a plane is a circle. Let** O be the centre of the sphere, and ABB any section made by a plane. To prove that the section ABD is... | |
| James Morford Taylor - Trigonometry - 1905 - 256 pages
...MPN formed by their tangents at this point. 100. Plane sections of a sphere. By Geometry we know that **every section of a sphere made by a plane is a circle.** If the plane passes through the center of the sphere, the plane section is a great circle; if not,... | |
| Education - 1911 - 946 pages
...the axis. [M5.] 16. Parallel sections of a cylindrical surface are congruent. [M3.] IV. Spheres. 1. **Every section of a sphere made by a plane is a circle.** |M10. | (Several corollaries may be added.) 2. The intersection of two spheres is a circle whose axis... | |
| Nathaniel Bowditch - Nautical astronomy - 1906 - 670 pages
...direction, is the perpendicular. The term altitude is sometimes substituted for icnlar in this sense. **Every section of a sphere made by a plane is a circle.** Л great circle of a sphere is a section of the surface made by a plane which passes through ita center.... | |
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