| CHARLES DAVIES, LL.D. - 1863
...distant from 0 (B. VI., PV, C.) ; hence, the section is a circle ; which was to be proved. Gor. l. **When the cutting plane passes through the centre of the sphere, the** radius of the section is equal to that of the sphere ; when the cutting plane does not pass through... | |
| 1864
...sphere, is called a section of the sphere. All sections of a sphere made by planes are circles. If **the cutting plane passes through the centre of the sphere, the section is** a great circle ; if it does not, the section is a small circle. All great circles are equal to one... | |
| 1869
...equally distant from 0 (B. VI., PV, C.) ; hence, the section is a circle; which was to be proved. Cor. 1. **When the cutting plane passes through the centre of the sphere, the** radius of the section is equal to that of the sphere; when the cutting plane does not pass through... | |
| Adrien Marie Legendre - Geometry - 1871 - 187 pages
...distant from 0 (B. VI., PV, C.) ; hence, the section is a circle ; which was to be proved. Cor. 1. **When the cutting plane passes through the centre of the sphere, the** radius of the section is equal to that of the sphere ; t when the cutting plane does not pass through... | |
| Charles Davies - Geometry - 1872 - 455 pages
...distant from 0 (B. VI., PV, C.) ; bence, the section is a circle ; which was to be proved. Cor. 1. **When the cutting plane passes through the centre of the sphere, the** radius of the section is equal to that of the sphere; when the cutting plane does not p.iss through... | |
| Charles Davies - 1874
...equally distant from 0 (B. VI., PV, C.); hence, the section is a circle; which was to be proved. (for. 1. **When the cutting plane passes through the centre of the sphere, the** radius of the section is equal to that of the sphere; when the cutting plane does not p.iss through... | |
| Geometry - 1874 - 455 pages
...distant from 0 (B. VI., PV, C.) ; hence, the section is a circle ; which was to be proved. Cor. 1. **When the cutting plane passes through the centre of the sphere, the** radius of the section is equal to that of the sphere; when the cutting plane does not p.iss through... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 512 pages
...equally distant from 0 (B. VI, PV, C.); hence, the section is a circle; which was to be proved. Cor. 1. **When the cutting plane passes through the centre of the sphere, the** radius of the section is equal to that of the sphere; when the cutting plane does not pass through... | |
| John Humphrey Spanton - Geometrical drawing - 1895 - 582 pages
...required. GREAT CIRCLES. If a sphere is intersected by a plane, the section is always a circle. When the **plane passes through the centre of the sphere, the section is called a great circle;** eg the equator and also the meridians are great circles. Let us take the sphere (Fig. 50) and construct... | |
| John Henry Walsh - Algebra - 1903 - 503 pages
...and FG are diameters. 455. If a sphere be cut through at any part, the cut surface will be a circle. **When the cutting plane passes through the centre of the sphere, the** circle is called a great circle ; other circles are called small circles. FXOC is a great circle ;... | |
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