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" Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b... "
Plane and Spherical Trigonometry - Pàgina 173
per James Morford Taylor - 1905 - 234 pàgines
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 432 pàgines
...proper title of the subject would be Trigonometry in Space. THREE SIDES AND AN ANGLE. 878. Theorem. — The cosine of any side of a spherical triangle is...the product of the cosines of the other two sides, increased by the product of the sines of those sides and the cosine of their included angle. 315 Let...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 444 pàgines
...the subject would be Trigonometry in Space. THREE 8IDE8 AND AN ANGLE. 878. Theorem. — The cos)ne of any side of a spherical triangle is equal to the product of the cosines of the other two sides, increased by the product of the sines of those sides and the cosine of their included angle. 315 Let...
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Elements of Trigonometry: Plane and Spherical

Edward Olney - 1885 - 222 pàgines
...thought sufficient for the general student] 143- Prop- — In a Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b cos c + sin b sin...
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A Treatise on Special Or Elementary Geometry, Volums 1-2

Edward Olney - 1872 - 562 pàgines
...thought sufficient for the general student] 143. Prop. — In a Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b cos c '+ sin b sin...
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Elements of Trigonometry, Plane and Spherical

Edward Olney - 1872 - 216 pàgines
...sufficient for the general student.] 143. Prop. — In a Svherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle; that is, (1) cos a — cos b cos c + sin b sin...
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A Treatise on Special Or Elementary Geometry

Edward Olney - 1872 - 472 pàgines
...sufficient for the general student.] 143. Prop. — In a Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b cos с + sin b sin...
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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - 1873 - 508 pàgines
...sin B. (2) sin a : sin c : : sin A : sin C. (3) sin b : sin c : : sin B : sin C. 136. Proposition II. The co-sine of any side of a spherical triangle is equal to the product of the co-sines of the other sides, plus the product of their sines into the co-sine of their included angle. Let ABC be a spherical...
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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - 1864 - 512 pàgines
...A : sin C. (3) sin b : sin с : : sin B : sin C. 136. Proposition П. The co-sine of any side of n spherical triangle is equal to the product of the co-sines of the other side*, plus the product. of their sines into the co-sine of their included angle. t Let ABC be a spherical...
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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - 1864 - 506 pàgines
...C. (3) sin li : sin c : : sin R : sin C. 136. Proposition II. The co-sine of any Me of a uphevical triangle is equal to the product of the co-sines of the other sides, plus the product of their sines into the co-sine of their included angle. Let ABC be a spherical...
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Plane and Spherical Trigonometry and Mensuration

Aaron Schuyler - 1875 - 284 pàgines
...sin B. (2) sin a : sin c : : sin A : sin C. (3) sin b : sin c : : sin B : sin C. 136. Proposition II. The co-sine of any side of a spherical triangle is equal to the product of the co-xines of the other sides, plus the product of their sines into the co-sine of their inchidcd angle....
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