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 Llibres Llibres 51 - 60 de 190 sobre C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides.... C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ... - Pàgina 66
per Jeremiah Day - 1815 - 126 pàgines
Visualització completa - Sobre aquest llibre ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 pàgines
...difference between either of them and 45°. PROP. IV. THEOR. The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference. Let ABC be any plane triangle ; CA+AB...
Visualització completa - Sobre aquest llibre ## Elements of Surveying: Including a Description of the Instruments and the ...

1837 - 249 pàgines
...AC :: sin C : sin B. THEOREM II. In any triangle, the sum of the two sides containing eithet angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference. 58. Let ACB be a triangle : then will AB+AC:...
Visualització completa - Sobre aquest llibre ## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 pàgines
...demonstrated that AB : BC = sin C : sin A. PROPOSITION VI. THEOREM. The sum of two sides of a triangle is to their difference as the tangent of half the sum of me angles at the base to the tangent of half their difference. Let ABC be any triangle, then if B and...
Visualització completa - Sobre aquest llibre ## Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - 1838 - 307 pàgines
...tan £ (A -f- B) : tan \ (A — B) That is to say, the sum of two of the sides of a plane triangle is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. This proportion is employed when two sides...
Visualització completa - Sobre aquest llibre ## A Course of Mathematics: Containing the Principles of Plane ..., Volums 1-3

Jeremiah Day - 1838
...therefore, from the preceding proposition, (Alg. 389.) that the sum of any two sides of a triangle, is to their difference ; as the tangent of half the sum of the opposite angles, to the tangent of half their difference. This is the second theorem applied to the...
Visualització completa - Sobre aquest llibre ## Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 261 pàgines
...AC :: sin C : sin B. THEOREM II. In any triangle, the sum of the two sides containing eithei angk, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of haJ/ their difference. 58. Let ACB be a triangle : then will AB+AC:...
Visualització completa - Sobre aquest llibre ## A Course of Mathematics: Containing the Principles of Plane ..., Parts 2-4

Jeremiah Day - 1839 - 370 pàgines
...therefore, from the preceding proposition, (Alg. 389.) that the sum of any two sides of a triangle, is to their difference ; as the tangent of half the sum of the opposite angles, to the tangent of half their difference. This is the second theorem applied to the...
Visualització completa - Sobre aquest llibre ## Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 261 pàgines
...AC :: sin C : 'sin B. THEOREM II. In any triangle, the sum of the two sides containing eithei angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference. 53. Let ACB be a triangle : then will AB+AC:...
Visualització completa - Sobre aquest llibre ## An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839
...double their opposite angles. PROPOSITION IV. (115) In any plane triangle, the sum of any two sides is to their difference, as the tangent of half the sum of their opposite angles is to the tangent of half their difference, Let ABC be any triangle ; make BE...
Visualització completa - Sobre aquest llibre ## Elements of Surveying, and Navigation, with a Description of the Instruments ...

Charles Davies - 1841 - 359 pàgines
...AC : : sin C : sin B. THEOREM II. In any triangle, the sum of the two sides containing eithei angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference. 58. Let ACB be a triangle : then will AB+AC:...
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