| Thomas Keith - 1810 - 420 páginas
...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
...propned, 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 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
...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 - 1812
...the 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...rectilinear triangle^ whose sides are equal in length to** thote of the proposed sfiherical triangle*. Scholium. We have already given, at th. 5 chap, iv, expressions... | |
| Charles Hutton - 1816
...proposed, of which the 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 - 1818
...proposed, of which the 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... | |
| Robert Woodhouse - 1819 - 264 páginas
...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... | |
| Adrien Marie Legendre - 1822 - 367 páginas
...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 - 153 páginas
...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... | |
| John Farrar - 1822 - 153 páginas
...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... | |
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