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" In any 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 and the cosine of their included angle. "
Elements of Plane and Spherical Trigonometry with Logarithmic and Other ... - Página 66
por Simon Newcomb - 1882 - 104 páginas
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - 1841 - 151 páginas
...Л а sin B b' It A = 90°, we still have, in conformity with the theorem, 6 sin В = . a 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the...
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - 1858 - 232 páginas
...BA = BD — AD ; If A = 90° we still have in conformity with the theorem, с = a cos B. 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 páginas
...or, as it may be written, a-\-b : a — b : : tan £ (A + -B) : tan (94) — .B). (95) 113. ./« any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 páginas
...or, as it may be written, a + b : a — b : : tan £ (A -\- B) : tan £ (A — B). (95) 113. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 320 páginas
...B) ' « + 6 __ tan % (A + B) tan ^ (A — B) ' (94) (A -\- B) : tan £ (A — B). (95) B 113. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the...
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An Introduction to Plane and Spherical Trigonometry

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...
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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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Plane and Spherical Trigonometry

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...
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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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