| William Mitchell Gillespie - 1897
...are to each other at the opposite sides. THEOREM II.—In every plane triangle, the turn of two rides **is to their difference as the tangent of half the sum of the** angles opporite those sides is to the tangent of half their difference. THEOBBM HI.—In every plane... | |
| 1897
...the sines of the opposite angles. That is, a : b = sin A : sin B The sum of two sides of a triangle **is to their difference as the tangent of half the sum of the** angles opposite is to the tangent of half their difference. That is, a -f J : a — I = tan £ ( A... | |
| William Kent - 1902 - 1113 páginas
...formulas enable us to transform a sum or difference into a product. The sum of the sines of two angles **is to their difference as the tangent of half the sum of** those angles is to the tangent of half their difference. sin A + sin K _ 2 sin \^(A + B) cos J£C4... | |
| William Kent - 1902 - 1129 páginas
...formulœ enable us to transform a sum or difference into a product. The sum of the sines of two angles **is to their difference as the tangent of half the sum of** those angles is to the tangent of half their difference. sin A + sin В 2 sin ЩА + B) cos WA - B)... | |
| James Morford Taylor - 1904 - 171 páginas
...one of which is the law of tangents below. Law of tangents. The sum of any two sides of a triangle **is to their difference as the tangent of half the sum of** their opposite angles is to the tangent of h (1ff their difference. From the law of sines, we have... | |
| Preston Albert Lambert - 1905 - 98 páginas
...B) Since a and b are any two sides of the triangle, in words the sum 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 the difference of these angles. The formula a -H1 _ tan £(A... | |
| James Morford Taylor - 1905 - 234 páginas
...one of which is the law of tangents below. Law of tangents. The sum of any two sides of a triangle **is to their difference as the tangent of half the sum of** their opposite angles is to the tangent of half their difference. From the law of sines, we have By... | |
| International Correspondence Schools - 1906
...formulas are derived in Appendix II. 20. Principle of Tangents. — The sum 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. That is (Fig. 6), a + d _ ta a - b ~ tan... | |
| 1906 - 188 páginas
...formulas are derived in Appendix ll. 20. Principle of Tangents. — The sum 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. That is (Fig. 6), ab tan i (A - B) The... | |
| Fletcher Durell - 1910 - 184 páginas
...sin В 107 TRIGONOMETRY 75. Law of Tangents in a triangle. In any triangle the sum of any two sides **is to their difference as the tangent of half the sum of the** angles opposite the given sides is to the tangent of half the difference of these angles. In a triangle... | |
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