 | 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 - 1838 - 372 pages
...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 perpen- », dicular to the plane AMB ; and different lines CM, CM, to different points of the curve... | |
 | 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... | |
 | Geometry - 1843 - 376 pages
...175 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 perpen- A dicular to the plane AMB ; and different lines CM, CM, to different points of the curve... | |
 | 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,...CO perpendicular to the plane AMB ; and different lines CM, CM to different points of the curve AMB, which terminates the section. The oblique lines... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...the two parallel planes, which form the bases of the zone or segment. 15. Whilst the semicircle DAE (Def. 1.) revolving round its diameter DE, describes...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 perpendicu-... | |
 | Nathan Scholfield - 1845 - 894 pages
...the two parallel planes, which form the bases of the zone or segment. 15. Whilst the semicircle DAE (Def. 1.) revolving round its diameter DE, describes...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 perpend icular... | |
 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...symbal v which 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 perpendicu-... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...symbal v which 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 perpend... | |
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AMB be a section, made by a plane, in the sphere, whose centre is C. From the... 
