| Henry Nathan Wheeler - 1876 - 208 páginas
...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... | |
| Henry Nathan Wheeler - 1876 - 109 páginas
...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 [67] we get, by the theory of... | |
| Edward Olney - 1877 - 201 páginas
...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... | |
| Eugene Lamb Richards - 1878 - 112 páginas
...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 _... | |
| 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... | |
| 1878 - 508 páginas
...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... | |
| Eugene Lamb Richards - 1879 - 300 páginas
...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.... | |
| Michael McDermott - 1879 - 586 páginas
...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... | |
| 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... | |
| Cornell University. Department of Mathematics - 1881
...negative direction from the origin used. Тнм. 2. In any plane triangle, the sum of any two sides **is to their difference as the tangent of half the sum of the two** opposite angles is to the tangent of half their difference : 106] ie, (a + b) : (a~b) = tan ¿(A +... | |
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