 | John Farrar - Logarithms - 1822 - 270 pages
...its angles Ttie subtract a third of the excess of the sum of the three angles over two right angles, the angles so diminished may be taken for the angles of a plane triangle, the sides of which are equal in length to those of the spherical triangle. In other... | |
 | Charles Hutton - Geometry - 1826 - 682 pages
...small, compared with the raclins i>/ the sphere; if from each of its angles one-third of the r.rcess of the sum of its three angles above two right angles be subtracted, the angles no diminishedmay be taken for the angles of a rectilinear triangle, vhosr. sides are equal in length... | |
 | Thomas Keith - Navigation - 1826 - 504 pages
...when compared 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 - Mathematics - 1830 - 630 pages
...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... | |
 | Charles Hutton - Mathematics - 1831 - 656 pages
...proposed, of which the 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 tux> right angles be subtracted, the angles so diminished may be taken for the angles of a rectilinear... | |
 | John Farrar - Trigonometry - 1833 - 274 pages
...its angles we subtract a third of the excess of the sum of the three angles over two right angles, the angles so diminished may be taken for the angles of a plane triangle, the sides of which are equal in length to those of the spherical triangle. In other... | |
 | John Farrar - Trigonometry - 1833 - 276 pages
...its angles we subtract a third of the excess of the sum of the three angles over two right angles, the angles so diminished may be taken for the angles of a plane triangle, the sides of which are equal in length to those of the spherical triangle. In other... | |
 | William Galbraith - Astronomy - 1834 - 454 pages
...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...angles so diminished may be taken for the angles of a rectilineal triangle, whose sides are equal in length to those of the proposed triangle. To find the... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...ungula whose angle is BOD. PROPOSITION XX. 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. Let ABC be the proposed triangle : produce its sides till... | |
 | Adrien Marie Legendre - Geometry - 1838 - 372 pages
...whose angle is BOD. PROPOSITION XX. THEOREM. The surface of a spherical triangle is measured by tlte excess of the sum of its three angles above two right angles, multiplied by the tri-rectangular triangle. Let ABC be the proposed triangle : produce its sides till... | |
| |
... third of the excess of the sum of its three angles above two right angles... 
