 | Thomas Keith - 1810 - 478 páginas
...with the radius of the sphere, being proposed; if from each of its angles you subtract one-third of the excess of the sum of its three angles above two right angles, the ayjgles thus diminished may be taken for the angles of a rectilinear triangle, whose sides are... | |
 | Charles Hutton - 1811 - 404 páginas
...sides are very small, compared with the radius of the sphere; if from each of its angles one third of the excess of the sum of its three angles above two right angles be subtracted, tlie angles so diminished may be taken for the angles of a rectilinear triangle, •wJwse... | |
 | Charles Hutton - 1812 - 624 páginas
...sides are very tmall, compared with the radius of the sfihere ; if from each of its angles tne third of the excess of the sum of its three angles above two right angles be subtracted^ the angles so diminished may be taken for the angles of a rectilinear triangle^ whose... | |
 | Olinthus Gregory - 1816 - 278 páginas
...sides are very small, compared with the radius of the sphere; if from, each of it's angles one third of the excess of the sum of its three angles above two right angles be subtracted, the angles so diminished may be taken for the angles of a rectilinear triangle, whose... | |
 | Robert Woodhouse - 1819 - 300 páginas
...sides are very small relatively to the radius of the sphere, if from each of its angles one-third of the excess of the sum of its three angles above two right angles be subtracted, the angles so diminished may be taken for the angles of a rectilinear triangle, the... | |
 | Thomas Keith - 1826 - 504 páginas
...with the radius of the sphere, being proposed; if from each of its angles you subtract one third of the excess of the sum of its three angles above two right angles, the angles thus diminished may be taken for the angles of a rectilinear triangle, whose sides are equal... | |
 | Thomas Leybourn - 1830 - 630 páginas
...given in terms of а, Ъ, с, and d. Again, since the area of a spherical triangle is proportional to the excess of the sum of its three angles above two right angles, technically termed the spherical excess, which (spherical excess) by Simon Lhuillier's Theorem, may... | |
 | Pierce Morton - 1830 - 584 páginas
...which have their angles respectively equal to the three angles of the triangle . . t 195 (с) Every spherical triangle is measured by the excess of the sum of its angles above two right angles . cor. 196 (¿0 A spherical triangle, whose angles are A, I!, and C,... | |
 | William Galbraith - 1834 - 454 páginas
...sides are very small compared with the radius of the sphere ; if from each of its angles, one-third of the excess of the sum of its three angles, above two right angles be subtracted, the angles so diminished may be taken for the angles of a rectilineal triangle, whose... | |
 | 1835 - 684 páginas
...which have their angles respectively equal to the three angles of the triangle . . . . 195 (e) Every spherical triangle is measured by the excess of the sum of its angles above two right angles . cor. 196 (d) A spherical triangle, whose angles are A, B, and C, is... | |
| |
THEOREM. The surface of a spherical triangle is measured by the excess of the sum of its three angles above two right angles, multiplied by the tri-rectangular triangle. 
