 | John Charles Snowball - Logarithms - 1844 - 236 pages
...DBF. The line joining the centre with any point in the surface is called the radius of the sphere. 2. Every section of a sphere made by a plane is a circle. Let ABCD be a sphere of which the centre is O; AFCG the curve in which a plane cutting the sphere intersects... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...proportional between tnose areas, multiplied by a third of its altitude. 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 perpendicular... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...sector, as DCF or FCH, describes a solid, which is named a spherical sector. 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 perpend... | |
 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...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 perpendicular... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...between the two parallel planes, which form the bases of the zone or segment 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 perpendicular... | |
 | Nathan Scholfield - 1845 - 894 pages
...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 perpendicular... | |
 | 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 the... | |
 | George Roberts Perkins - Geometry - 1847 - 326 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 B / centre is C. From the point C, draw CO... | |
 | Thomas Grainger Hall - Trigonometry - 1848 - 192 pages
...angles 110 XIII. Examples Ill SPHERICAL TRIGONOMETRY. CHAPTER I. PAGE I. Definition of a sphere 115 II. Every section of a sphere made by a plane is a circle 116 III. In a spherical triangle, any side is less than the sunn of the other two / IV. The sum of... | |
 | 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... | |
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(1). Every section of a sphere made by a plane is a circle. Let 
