 | John Hymers - Logarithms - 1841 - 244 pages
...sphere. 14. The area of a spherical triangle is the same fraction of the area of a hemisphere, that the excess of the sum of its three angles above two right angles is of ЗбО°. Let ABC (fig. 5.) be a spherical triangle; produce the arcs which contain its angles... | |
 | John Carr - Physics - 1843 - 408 pages
...viz. : — A spherical A being proposed, of which the eides are very small with regard to the radins of the sphere, if from each of its angles one-third of the excess of the snm of its three ¿•s above two right /'s be snbtracted, the angles so diminished may be taken for... | |
 | Francis Henney Smith - Arithmetic - 1845 - 710 pages
...be expected, viz. :— A spherical A being proposed, of which the sides are very small with regard to the radius of the sphere, if from each of its angles one-third of the excess of the sum of its three ^'s above two right /'s be subtracted, the angles so diminished may be taken for the ^'s of a rectilineal... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...ungula whose angle is BOD. PROPOSITION XXH. 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... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...OBNDO, whose angle is BOD. PBOPOSITION XXII. 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... | |
 | Nathan Scholfield - 1845 - 894 pages
...OBNDO, whose angle is BOD. PROPOSITION XXII. 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... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...whose angle is BOD. Y PROPOSITION XXXV. 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... | |
 | James Hann - Spherical trigonometry - 1849 - 82 pages
...consequently, by addition, or г2 (а + b + c — 180°). Hence the area of a spherical triangle is equal to the excess of the sum of its three angles above two right angles, which is called the spherical excess. The late Professor Woodhouse, in his able work on Trigonometry,... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...whose angle is BOD. PROPOSITION XX. THEOREM. The surface of a spherical triangle is measured by tIte 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 - 1852 - 436 pages
...ungula whose angle is BOD. PROPOSITION XVIII. THEOEEM. The surface of a spherical triangle is equal to the excess of the sum of its' three angles above two right angles, multiplied by the tri-rectangular triangle. Let ABC be any spherical triangle : then will its surface... | |
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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. 
