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 Llibres Llibres 131 - 140 de 191 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 Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1876 - 170 pàgines
...proposition, therefore, applies in every case. BOOK Ш. 2. 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. For, by (90), a : 6 : : sin A : sin B;...
Visualització completa - Sobre aquest llibre ## Plane and Spherical Trigonometry

Henry Nathan Wheeler - 1876 - 208 pàgines
...sides of any triangle are proportional to the sines of { 72. The surn of any two sides of a triangle is to their difference as the tangent of half the sum of the opposite angles Is to the tangent of half their difference . . 78 § 73. The square of any side of...
Visualització completa - Sobre aquest llibre ## The Elements of Plane Trigonometry

1876 - 109 pàgines
...that sin B is equal to the sine of its supplement CBP. § 72. The sum of any two sides of a triangle is to their difference as the tangent of half the sum of tlie opposite angles is to the tangent of half their difference. From  we get, by the theory of...
Visualització completa - Sobre aquest llibre ## Elements of Trigonometry: Plane and Spherical

Edward Olney - 1877 - 201 pàgines
...horizontal parallax. PLANE TR1GONOMETRY. 86. Prop.— The sum of any two sides of aplane triangle 's to their difference, as the tangent of half the sum of the angles oppos'te is to the tangent of half their difference. DEM. — Letting a and b represent any two sides...
Visualització completa - Sobre aquest llibre ## Annual Report

1878
...TRIGONOMETRY. Scientific Clatt. 1. Demonstrate, that in any plane triangle, the sure 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. 2. Give the limiting values of the circular...
Visualització completa - Sobre aquest llibre ## A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

1878 - 508 pàgines
...to each other at the opposite sides. THEOREM IL—In every plane triangle, the sum of two tides it to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of kalf their difference. THEOKEJI III.—In every plane triangle,...
Visualització completa - Sobre aquest llibre ## The Elements of Plane Trigonometry

Eugene Lamb Richards - 1878 - 112 pàgines
...since C is a right angle, its sine is 1 (Art. 35). Also 49. In any triangle, the SUM of any TWO RIDES is to their DIFFERENCE as the TANGENT of HALF the sum of the OPPOSITE ANGLES 18 to the TANGENT of HALF their DIFFERENCE. Let A CB be any triangle. Then EC+CA _...
Visualització completa - Sobre aquest llibre ## The Elements of Plane and Spherical Trigonometry

Eugene Lamb Richards - 1879 - 300 pàgines
...since C is a right angle, its sine is 1 (Art. 35). Also 49. In any 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. Let ACB be any triangle. Then BC+CA _ tan....
Visualització completa - Sobre aquest llibre ## The Civil-engineer & Surveyor's Manual: Comprising Surveying, Engineering ...

Michael McDermott - 1879 - 586 pàgines
...their contained Angle given to Find the other Side and Angles. 203. Rule. The sum of the 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 -f Ъ : a — b : : tan. J (A...
Visualització completa - Sobre aquest llibre ## American Practical Navigator

1880
...triangle (supposing an;/ side to be the base, and calling the other two the sides, the sum of the sides is to their difference as the. tangent of half the sum of the angles at tht base is to the tangent of half the difference of the same angles. Thus, in the triangle ABC,...
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