 ... stretched taut from one point to the other. The string will not lie on the parallel, but will evidently be in a plane which passes through the centre of the sphere. If the two points be on a meridian, the stretched string will lie on the meridian....  The elements of plane trigonometry - Pàgina 5per John Charles Snowball - 1837Visualització completa - Sobre aquest llibre
 | 1840 - 468 pàgines
...small line on the sphere to its projection); varies from point to point, and is = J secj_i_, where 8 is the angle subtended at the centre of the sphere, by the arc of a great circle drawn from the part represented to that pole of the primitive plane which is opposite... | |
 | John Charles Snowball - 1880 - 256 pàgines
...Therefore В is the pole of AFC. [The proof holds whether AFC be a great or a small circle.] Сок. Hence also it appears that the intersection of two...pole of that circle. 12. The angle subtended at the center of the sphere by the arc of a great circle which joins the poles of two great circles, is the... | |
 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 pàgines
...passes through two fixed points, and that the angle at which two great circles intersect is equal to the angle subtended at the centre of the sphere by the arc joining their poles. 7. Having given the horizontal and vertical projections of two straight lines,... | |
 | Daniel Alexander Murray - 1906 - 466 pàgines
...stretched string will lie on the meridian. By angular distance between two points on a sphere is meant the angle subtended at the centre of the sphere by the arc joining the given points. Thus in Fig. 4 the angle NO A is the angular distance of A from N. d. Propositions... | |
 | Daniel Alexander Murray - 1908 - 132 pàgines
...stretched string will lie on the meridian. By angular distance between two points on a sphere is meant the angle subtended at the centre of the sphere by the arc joining the given points. Thus in Fig. 4 the angle NOA is the angular distance of A from N. d. Propositions... | |
 | Daniel Alexander Murray - 1908 - 358 pàgines
...stretched string will lie on the meridian. By angular distance between two points on a sphere is meant the angle subtended at the centre of the sphere by the arc joining the given points. Thus in Fig. 4 the angle NOA is the angular distance of A from N, »/. Propositions... | |
 | Alec A. Golding - 1915 - 250 pàgines
...through P (Fig. 6). It is then quite VERTICAU.Y SHADED ANCLE THE LATITUDE OF p. Fig. 6. clear that the angle subtended at the centre of the sphere by the arc of the meridian between the equator and the point P will give us the latitude of that point. It is... | |
 | Devendra Náth Mallik - 1921 - 252 pàgines
...angle subtended at the centre of the sphere by the line joining these points. This is, evidently , also the angle subtended at the centre of the sphere by the arc of the great circle passing through these points. For, the section of the sphere by the plane containing... | |
 | Donald Fenna - 2006 - 512 pàgines
...sphere (see Tutorial 22). Again replacing PN and P by P0 = (A0, 00) and P, = (A,,0,), and denoting the angle subtended at the centre of the sphere by the arc spanning these points by 4),i we have do./ =arccos{sin0o sin0, +cos0o cos0/ cos(A, - AO)} =<5,.o ........... | |
 | 1882 - 248 pàgines
...angle subtended at the centre of the sphere by the line joining these points. This is evidently also the angle subtended at the centre of the sphere by the arc of the great circle passing through these points. For the section of the sphere by the plane containing... | |
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