 | Horatio Nelson Robinson - 1862 - 356 Seiten
...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 - 362 Seiten
...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 - 166 Seiten
...(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 - 178 Seiten
...(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 - 226 Seiten
...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 - 204 Seiten
...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 - 128 Seiten
...— 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 - 262 Seiten
...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 - 260 Seiten
...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 - 188 Seiten
...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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In any triangle, the square of the 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 and the projection of the other side upon it. 
