 | John Charles Snowball - 1837 - 322 σελίδες
...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 - 1841 - 288 σελίδες
...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 - 1842 - 180 σελίδες
...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 - 1844 - 268 σελίδες
...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 perpendicular... | |
 | Nathan Scholfield - 1845 - 506 σελίδες
...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 perpendicu-... | |
 | Nathan Scholfield - 1845 - 894 σελίδες
...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 perpend... | |
 | Nathan Scholfield - 1845 - 542 σελίδες
...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... | |
 | Harvey Goodwin - 1846 - 500 σελίδες
...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 - 1847 - 326 σελίδες
...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 perpendicularly... | |
 | Benjamin Peirce - 1847 - 204 σελίδες
...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 AMB and... | |
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It will be shown that every section of a sphere made by a plane is a circle... 
