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Llibres Llibres 1 - 10 de 137 sobre In any triangle, the square of the side opposite an acute angle is equal to the sum....
" 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. "
Plane Trigonometry - Pągina 19
1906 - 188 pągines
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CONIC SECTIONS AND ANALYTICAL GEOMETRY

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...
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Conic Sections and Analytical Geometry: Theoretically and Practically ...

Horatio Nelson Robinson - 1863 - 350 pągines
...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...
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An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - 1865 - 150 pągines
...(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...
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The elements of plane and spherical trigonometry

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...
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Elements of geometry, with ... trigonometry

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...
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The Elements of Plane Trigonometry

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...
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Plane and Spherical Trigonometry

Henry Nathan Wheeler - 1876 - 208 pągines
...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...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - 1877 - 240 pągines
...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...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - 240 pągines
...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...
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Elements of Plane and Spherical Trigonometry with Logarithmic and ..., Volum 1

Simon Newcomb - 1882 - 168 pągines
...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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