 | Nathan Scholfield - 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 - 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 - 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 - 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 - 1849 - 80 pages
...sides are very small with respect to the radius of the earth, 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, or in other terms... | |
 | James Hann - 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 - 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 - 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... | |
 | Charles Davies - 1854 - 436 pages
...ungula whose angle is BOD. PROPOSITION XVIII. THEOREM. Tlte 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... | |
 | 1855 - 1124 pages
...products of their bases by their altitudes. 6. Prove that 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. 163 FEEE ACADEMY. EXAMINATION; PAPERS, JULY, 1354. LEGENDRE... | |
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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. 
