 | Thomas Keith - 1810 - 478 sider
...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 - 1811 - 404 sider
...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 two right angles be subtracted, tlie angles so diminished may be taken for the angles of a rectilinear triangle, •wJwse sides are... | |
 | Charles Hutton - 1811 - 424 sider
...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... | |
 | Olinthus Gregory - 1816 - 278 sider
...the 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...rectilinear triangle, whose sides are equal in •length to those of the proposed spherical triangle.* SCHOLIUM. We have already given (in sect. 6, chap, vi.)... | |
 | Olinthus Gregory - 1816 - 276 sider
...which the 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...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... | |
 | Robert Woodhouse - 1819 - 470 sider
...the 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...be taken for the angles of a rectilinear triangle, the sides of which are equal in length to those of the proposed spherical triangle'1 The demonstration... | |
 | Charles Hutton - 1822 - 680 sider
....— - --^ -• . • *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 - 1822 - 394 sider
...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... | |
 | John Farrar - 1822 - 270 sider
...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... | |
 | John Farrar - 1822 - 244 sider
...iti angles we subtract a third of the excess of the sum of the three angles aver two ri^ht 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... | |
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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. 
