 | 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 - 424 pages
...compared with the radius of the sphere; iff rant each of zts angles one third of the excess of the sum oj its three angles above two right angles be subtracted, the angles so diminished may be taken J'or the angles of a rectilinear triangle, qiAose sides are equal in length to those of the proposed... | |
 | 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... | |
 | Olinthus Gregory - Plane trigonometry - 1816 - 276 pages
...sides are very small, compared with Ike radius of the sphere) if from each of its angles one third of the excess of the sum of its three angles above...subtracted, the angles so diminished may be taken for theangles of a rectilinear triangle, whose sides are equal in length to those of the proposed spherical... | |
 | 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... | |
 | Charles Hutton - Mathematics - 1822 - 680 pages
....— - --^ -• . • *r /.-••" * ' f • » «,<,-» OJ itianelesone third of the excess o/Jhe sum of its three angles above two right angles be subtracted, the angles so dim? nifhedmay be taken for the angles *f" rectilinear triangle, whose side are equal M length to those-of... | |
 | 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... | |
 | 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
...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... | |
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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. 
