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... third of the excess of the sum of its three angles above two right angles...
Elements of Plane and Spherical Trigonometry: With Their Applications to ... - Pągina 225
per Olinthus Gregory - 1816 - 244 pągines
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## An Introduction to the Theory and Practice of Plane and Spherical ...

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

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...
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## A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

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...
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## A Course of Mathematics: For the Use of Academies as Well as ..., Volum 2

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...
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## A Course of Mathematics ...: For the Use of Academies, as Well as ..., Volum 2

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...
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## A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volum 2

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...
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## A Treatise on Plane and Spherical Trigonometry

Robert Woodhouse - 1819 - 264 pągines
...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...
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## Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 367 pągines
...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...
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## An Elementary Treatise on the Application of Trigonometry to Orthographic ...

John Farrar - 1822 - 153 pągines
...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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## An Elementary Treatise on the Application of Trigonometry: To Orthographic ...

John Farrar - 1822 - 153 pągines
...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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