 | Charles Davies - Trigonometry - 1849 - 372 pages
....^ and PD*.n Hence the solidity of the frustum of the cone is measured bv PROPOSITION VII. THEOREM. Every section of a sphere, made by a plane, is a circle. Let AMB be a section, made by a plane, in the sphere whose centre is C. From the point C, draw CU perpendicular... | |
 | Anna Cabot Lowell - Astronomy - 1850 - 412 pages
...All the radii of a sphere are equal; all the diameters are also equal, and double the radius. § ¿. Every section of a sphere made by a plane is a circle. If a sphere is cut by a plane which passes through the centre, the section is called a great circle... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...follows that similar cylinders are to each other as the cubes of the linear dimensions. THEOREM XX. Every section of a sphere, made by a plane, is a circle. Let AMB be a section, made by a plane, in the sphere whose centre is C. From the centre C draw CO,... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...follows that similar cylinders are to each other as the cubes of the linear dimensions. THEOREM XX. Every section of a sphere, made by a plane, is a circle. Let AMB be a section, made by a plane, in the sphere whose centre is C. From the centre C draw CO,... | |
 | Alexander Ronald Grant - 1850 - 170 pages
...surface every point of which is equally distant from a point within it, which is called the centre. (1). Every section of a sphere made by a plane is a circle. Let APB be the curve in which, the sphere is cut by the given plane. From 0 the centre of the sphere,... | |
 | Anna Cabot Lowell - Astronomy - 1850 - 378 pages
...All the radii of a sphere are equal ; all the diameters are also equal, and double the radius. § £. Every section of a sphere made by a plane is a circle. If a sphere is cut by a plane which passes through the centre, the section is called a great circle... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...FG will, at the same time, be the diameter of the circumscribed circle. PROPOSITION VIII. THEOREM. Every section of a sphere, made by a plane, is a circle. Let AMB be the section, made by a plane in the sphere whose centre is C. From the point C, draw CO... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...are equal ; all the diameters are equal, and each is double the radius. 12. It will be shown (p. 7,) that every section of a sphere, made by a plane, is a circle : this granted, a great circle is a section which passes through the centre ; a small circle, is one... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...are equal; all the diameters are equal, and each is double the radius. 12. It will be shown (p. 7,) that every section of a sphere, made by a plane, is a circle: this granted, a great circle is a section which passes through the centre; a small circle, is one which... | |
 | Benjamin Peirce - Geometry - 1855 - 184 pages
...a sphere are equal ; and all its diameters are also equal, and double of the radius. 419. Theorem. Every section of a sphere made by a plane is a circle. Proof. From the centre C (fig. 178) of the sphere draw the perpendicular CO to the section J1MB and... | |
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that every section of a sphere, made by a plane, is a circle. 
