 | Thomas Keith - Navigation - 1810 - 478 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 ayjgles thus diminished may be taken for the angles of a rectilinear triangle, whose sides are... | |
 | Charles Hutton - Mathematics - 1811 - 404 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 two right angles be subtracted, tlie angles so diminished may be taken for the angles of a rectilinear triangle, •wJwse sides are... | |
 | Charles Hutton - Mathematics - 1816 - 618 pages
...sides are very small, compared frith 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 to diminished may be taken for the angles of a rectilinear triangle, whose sides are equal in length... | |
 | Charles Hutton - Arithmetic - 1818 - 652 pages
...sides are very small, compared with the radius of ike 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 anglet so diminished may be taken for the angles of a rectilinear triangle, whose sides are equal in... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...whose angle is BOD. PROPOSITION XXIII. THEOREM. The surface of any spherical triangle is measured by the excess of the sum of its three angles above two right angles. Let ABC be the proposed triangle : produce its sides till they meet the great circle DEFG drawn anywhere... | |
 | Thomas Keith - Navigation - 1826 - 504 pages
...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... | |
 | 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... | |
 | Thomas Keith - 1839 - 498 pages
...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 rectilineal triangle, whose sides are equal... | |
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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. 
