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Books Books 1 - 10 of 56 on THEOREM. The surface of a spherical triangle is measured by the excess of the sum....  
" 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. "
Elements of Geometry and Trigonometry: With Notes - Page 168
by Adrien Marie Legendre - 1822 - 367 pages
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - Navigation - 1810 - 420 pages
...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...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton, Olinthus Gregory - Mathematics - 1811
...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...
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A Course of Mathematics ...: For the Use of Academies, as Well as ..., Volume 2

Charles Hutton - Mathematics - 1812
...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 above two right angles be subtracted^ the angles so diminished may be taken for the angles of a rectilinear triangle^ whose...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - Plane trigonometry - 1816 - 244 pages
...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 above two right angles be subtracted, the angles so diminished may be taken for the angles of a rectilinear triangle, whose...
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A Treatise on Plane and Spherical Trigonometry

Robert Woodhouse - Trigonometry - 1819 - 264 pages
...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 two right angles be subtracted, the angles so diminished may be taken for the angles of a rectilinear triangle, the...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - Navigation - 1826 - 442 pages
...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 angles thus diminished may be taken for the angles of a rectilinear triangle, whose sides are equal...
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New series of The mathematical repository, Volume 5

Thomas Leybourn - Mathematics - 1830
...given in terms of а, Ъ, с, and d. Again, since the area of a spherical triangle is proportional to the excess of the sum of its three angles above two right angles, technically termed the spherical excess, which (spherical excess) by Simon Lhuillier's Theorem, may...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 272 pages
...which have their angles respectively equal to the three angles of the triangle . . t 195 (с) Every spherical triangle is measured by the excess of the sum of its angles above two right angles . cor. 196 (0 A spherical triangle, whose angles are A, I!, and C,...
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Mathematical and astronomical tables: for the use of students in mathematics ...

Mathematics - 1834 - 428 pages
...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, the angles so diminished may be taken for the angles of a rectilineal triangle, whose...
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