 | Thomas Keith - 1810 - 478 Seiten
...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 Seiten
...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 - 424 Seiten
...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 - 624 Seiten
...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 - 618 Seiten
...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 - 652 Seiten
...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 - 470 Seiten
...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 Seiten
....— - --^ -• . • *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 Seiten
...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 - 244 Seiten
...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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... third of the excess of the sum of its three angles above two right angles... 
