| Robert Woodhouse - Plane trigonometry - 1819 - 300 pages
...Reduction of the Oblique to an Horizontal Angle, by the direct, by Delambre's approximate, Method. — **Excess of the Sum of the Three Angles of a Spherical Triangle above** Two Right Angles. — Roy's Theorem. — Legendre's Reduction of a small Spherical to a Rectilinear... | |
| John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...sin. 2C + ™ . sin. 3C, &c. 2 3 m^being the value of the fraction ~ . b 6. Find an expression for **the excess of the sum of the three angles of a spherical triangle above** two right angles. 7. In the revolution of a body round the focus of an ellipse of small excentricity,... | |
| 1827 - 616 pages
...knowledge did not extend beyond plane trigonometry. I drew up the computations in that form which I diought **the most proper for publication, but he was continually...above 180°, (which since that time has been quoted as** Gen. Roy's theorem,*) and would not insert it until he had consulted the Hon. Henry Cavendish. For... | |
| Thomas Leybourn - Mathematics - 1830 - 630 pages
...I thought the most prOpe.rf6rpiiblicat.ion, but he was continually making alterations. He did riot **even understand the rule I made use of for finding...of the three angles of a spherical triangle above** j8oe, (which since that time has been quoted as Gener&l Roy's theorem* J and would not insert it until... | |
| J. A. Beil - 1855 - 756 pages
...spherical fuze (Art.) * Der SchrapneJl-Zilnder * Fuse'e/. pour obus Shrapnel!. The spherical excess **(the excess of the sum of the three angles of a spherical triangle above** two right angles) * Der sph&rische Excess * Exces m. spherique. The spherical triangle (a triangle... | |
| Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...ercessus, from excedo, to go beyond]. That which goes beyond. See Property o/9'í. EXCESS SPHERICAL. **The excess of the sum of the three angles of a spherical triangle** over two right angles, or 180°, is called the »phcncal excess. This element is of much importance... | |
| Henry Percy Smith - English language - 1883 - 542 pages
...geometry ; those between the trigonometrical functions of the sides and angles, of S. trigonometry. **The excess of the sum of the three angles of a spherical triangle above** two right angles is its .9. excess. А .$'. segment is the part of a sphere cut off by a plane ; a... | |
| John Ogilvie - Encyclopedias and dictionaries - 1883 - 834 pages
...angle formed on the surface of a sphere by the intersection or two great circles. — Spherical excess, **the excess of the sum of the three angles of a spherical triangle above** two right angles or ISO", the three angles of every spherical triangle being greater than two right... | |
| Henry Percy Smith - English language - 1883 - 564 pages
...geometry ; those between the trigonometrical functions of the sides and angles, of S. trigonometry. **The excess of the sum of the three angles of a spherical triangle above** two right angles is its S. excess. A S. segment is the part of a sphere cut off by a plane ; a S. lector... | |
| Royal Society (Great Britain) - Mathematics - 1828 - 490 pages
...usually employed on the continent, and is that of which I shall avail myself on the present occasion. **The excess of the sum of the three angles of a spherical triangle above** two right angles, termed the spherical excess, is useful to indicate the degree of reliance which may... | |
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