 | William Henry Harrison Phillips - 1878 - 236 lapas
...the adjacent faces are together greater than 2nR — 4R, and less titan 2nR (V., 31). XXI. DEF'. 1 . The excess of the sum of the angles of a spherical polygon over 2»R — 4R is called its •spherical excess. If A, B, and C are the angles of a spherical triangle,... | |
 | William John McClelland, Thomas Preston - 1893 - 402 lapas
...is equal to the sum of the areas of the triangles = (2 + 2ir - n2r) r* = \ S - (n - 2) ir} r* = Et9, where E, the Spherical Excess of the polygon, denotes...If a quadrilateral be inscribed in a small circle, A + C = B + D ; and hence the area of a cyclic quadrilateral is 2(A + C-ir)r\ 112. Area of a Quadrilateral.... | |
 | William James Milne - 1899 - 404 lapas
...of a spherical triangle over two right angles is called the Spherical Excess of the triangle. 707. The excess of the sum of the angles of a spherical polygon over two right angles, taken as many times as the polygon has sides less two, is called the Spherical Excess... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1903 - 996 lapas
...excess, as in casting out nines in the test for divisibility. (See CHECKING.) In spherical trigonometry the excess of the sum of the angles of a spherical polygon over n — 2 straight angles (the sum of the angles of a plane polygon of the same number of sides) is called... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1909 - 886 lapas
...excess, as in casting out nines in the test for divisibility. (See CHECKING.) In spherical trigonometry the excess of the sum of the angles of a spherical polygon over n — 2 straight angles (the sum of the angles of a plane polygon of the same number of sides) is called... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 lapas
...x 3.1416 x 36 sq.'in. 360 .-. area of triangle = 78.54 sq. in. 698. Spherical Excess of a Polygon. The excess of the sum of the angles of a spherical polygon of n sides over (n — 2) X 180° is called the spherical excess of the polygon. EXERCISE 108 Compute... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 lapas
...-^ix 4 x 3.1416 x 36 sq. in. .-. area of triangle = 78.54 sq. in. 698. Spherical Excess of a Polygon. The excess of the sum of the angles of a spherical polygon of n sides over (n — 2) x 180° is called the spherical excess of the polygon. EXERCISE 108 Compute... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 491 lapas
...3.1416 x 36 sq. in, 360 62^ ... area of triangle = 78.54 sq. in. 698. Spherical Excess of a Polygon. The excess of the sum of the angles of a spherical polygon of n sides over (n — 2) x 180° is called the spherical excess of the polygon. EXERCISE 108 Compute... | |
 | Charles Austin Hobbs - 1921 - 216 lapas
...excess of the sum of the angles of a spherical triangle over 180° is called its spherical excess. The excess of the sum of the angles of a spherical polygon of n sides over (n - 2) 180° is called its spherical excess. *Proposition 331 Theorem In a bi-rectangular... | |
 | 1922 - 906 lapas
...excess, as in casting out nines in the test for divisibility. (See CHECKING.) In spherical trigonometry the excess of the sum of the angles of a spherical polygon over n — 2 straight angles (the sum of the angles of a plane polygon of the same number of sides) is called... | |
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EXCESS (Lat. excessus, departure, from excedere, to depart, from ex, out + cedere, to go). The remainder arising from dividing one number by another is often called the excess, as in casting out nines in the test for divisibility. (See CHECKING.) In spherical... 