 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...the solidity of the frustum of the cone is measured by i«OP x (OA2+PD2+ AO x PD). 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 CO perpendicular... | |
 | Benjamin Peirce - Geometry - 1837 - 216 pages
...radii of 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. Demonstration. From the centre C (fig. 178) of the sphere draw the perpendicular CO to the section... | |
 | John Charles Snowball - 1837 - 322 pages
...INDEX. CHAPTER I. ON CERTAIN PROPERTIES OF SPHERICAL TRIANGLES. AВТ. ГЛОК 1. DEF. A Sphere 1 2, 3. Every section of a sphere made by a plane is a circle 1 4. Objects of SPHERICAL TRIGONOMETRY 2 6. Def. POLES and Axis of a circle 3 8. The Pole of a circle... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...diameters also are equal, and each double of the radius. 439. It will be demonstrated, art. 452, that every section of a sphere made by a plane is a circle. This being supposed, we call a great circle the section made by a plane which passes through the centre,... | |
 | Charles Waterhouse - Arithmetic - 1842 - 180 pages
...spherical polygon is a part of the surface of a sphere terminated by several arcs of great circles. 30. Every section of a sphere made by a plane, is a circle ; hence, a great circle is the section made by a plane which passes through the centre, and a small... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...proportional between those areas, multiplied by a third of its altitude. GEOMETRY. PROPOSITION VII. 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... | |
 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...occurs in this volume, is used to denote because ; when applied in algebraic notation. PROPOSITION I. 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 CO... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...occurs in this volume, is used to denote because; when applied in algebraic notation. 4 PROPOSITION I. THEOREM. Every section of a sphere, made by a plane, is a circle. Let j\MB be a section, made by a plane, in 'the sphere, whose centre is C. From the point G, draw CO... | |
 | Nathan Scholfield - 1845 - 894 pages
...circular sector, as DCF or FCH, describes a solid, which is named a spherical sector. PROPOSITION I. 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 CO... | |
 | Harvey Goodwin - Mathematics - 1846 - 500 pages
...any line passing through the centre and bounded by the surface is called a diameter of the sphere. 3. Every section of a sphere made by a plane is a circle. Let EDF be any such section of a sphere, of which the centre is O. Draw OC from O perpendicular to... | |
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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. 
