| HORATIO N. ROBINSON - 1862
...of a plane triangle would be given by the equation cos. A "Whence, a2=b2+c^— 2bc cos. A. That is, **The square of one side is equal to the sum of the** squares of the other two sides, minus twice the rectangle of the other two sides into the cosine of... | |
| Horatio Nelson Robinson - 1863 - 350 páginas
...would be given by the equation b*+c*—a* cos. A= - JTT 26c Whence, a3=6*+c*— 26c cos. A. That is, **The square of one side is equal to the sum of the** squares of the other two sides, minus twice the rectangle of the other two sides into the cosine of... | |
| Alfred Challice Johnson - 1865 - 150 páginas
...(A) Which proves Rule II. PROPOSITION II. The square of any side of a triangle is equal to the sum of **the squares of the other two sides, minus twice the product of** those two sides, and the cosine of the angle included by them. First, let the triangle А В С be... | |
| Alfred Challice Johnson - 1871
...(А) Which proves Rule II. PROPOSITION II. The square of any side of a triangle is equal to the sum of **the squares of the other two sides, minus twice the product of** those two sides, and the cosine of the anale included by them. First, let the triangle А В С be... | |
| André Darré - 1872
...H THEOREM. 91. In any triangle the square of a side opposite an acute angle is equal to the sum of **the squares of the other two sides, minus twice the product of** one of these sides by the projection on it of the other. Def. The projection of one line on another... | |
| Henry Nathan Wheeler - 1876 - 208 páginas
...of half their difference . . 78 § 73. The square of any side of a triangle is equal to the sum of **the squares of the other two sides, minus twice the product of** those sides into the cosine of their included angle 73 § 74. Formula for the side of a triangle, in... | |
| Henry Nathan Wheeler - 1876
...— C)' 6 — c tani(B — C)' § 73. The square 'of any side of a triangle is equal to the sum of **the squares of the other two sides, minus twice the product of** those sides into the cosine of their included angle. FIG. 43. FIG 44. Through c in the triangle ABC... | |
| William Frothingham Bradbury - 1877 - 240 páginas
...XXVIII. 68 1 In a triangle the square of a side opposite an acute angle is equivalent to the sum of **the squares of the other two sides minus twice the product of** one of these sides and the distance from the vertex of this acute angle to the foot of the perpendicular... | |
| William Frothingham Bradbury - 1880 - 240 páginas
...XXVIII. 68. In a triangle the square of a side opposite an acute angle is equivalent to the sum of **the squares of the other two sides minus twice the product of** one of these sides and the distance from the vertex of this acute angle to the foot of the perpendicular... | |
| Simon Newcomb - 1882 - 168 páginas
...III. Given the three sides. THEOREM III. In a triangle the square of any side is equal to the sum, of **the squares of the other two sides minus twice the product of these two sides** into the cosine of the angle included oy them. In symbolic language this theorem is expressed in any... | |
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