| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...and PD2.Ť Hence the solidity of the frustum of the cone is measured by iŤOP 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 - 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- ť, dicular to the plane AMB ; and different lines CM, CM, to different points of the curve... | |
| 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... | |
| Nathan Scholfield - Geometry - 1845 - 506 pages
...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- A, lar to the plane AMB ; and different lines CM, CM, to different points of the curve... | |
| 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 perpend icular... | |
| 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 perpendicu-... | |
| 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 perpend... | |
| |