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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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General Mathematics, Libro 2

Raleigh Schorling, William David Reeve - 1922 - 460 páginas
...of a triangle differs from the sum of the squares on the other two sides. AREAS 466. Theorem. 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 sides and the cosine of the included...
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Drill Book in Plane Geometry

Robert Remington Goff - 1922 - 136 páginas
...line upon a line? 339. The square of the side opposite an acute angle of a triangle equals the sum of the squares of the other two sides minus twice the product of one of those sides and the projection of the other upon it. 340. The square of the side opposite an...
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Practical Mechanics and Strengths of Materials

Charles Wilbur Leigh - 1923 - 294 páginas
...sides are to each other as the sines of the opposite angles, or bc (lg) (3) Law of cosines. In any triangle, the square of any side is equal to the sum of the squares of the dther two sides, minus twice their product into the cosine of their included angle,...
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Industrial Electricity, Parte2

Chester Laurens Dawes - 1925 - 502 páginas
...20° - 127.1° = 32.9°. Ans. b 12 , ,„ 0.543 sin 32.9° sin 20° 0.342 " Law of Cosines. — 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 into the cosine of their...
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Elementary Surveying

Frederick Wilbur Medaugh - 1925 - 550 páginas
...of the opposite angles. Law of Cosines. The square of the side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides times the cosine of the included angle. (When applying the law of cosines remember that...
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A Survey Course in Mathematics

Nels Johann Lennes - 1926 - 240 páginas
...two sides. 2. 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. 3. In an obtuse triangle the square...
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Plane Trigonometry

Nels Johann Lennes, Archibald Shepard Merrill - 1928 - 300 páginas
...proposition. (9) The square of a side opposite an acute angle of a triangle 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 one upon it. (10) The square of a side opposite...
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Bulletin, Temas6-11

1909 - 1288 páginas
...constructions. 2. 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 ui>on it. 3. The areas of two similar triangles...
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Mechanics for Engineers: Statics and Kinetics

Julian Chase Smallwood, Frank Wolfert Kouwenhoven - 1928 - 208 páginas
...be obtained from the trigonometric relation : The square of one side of a triangle equals the sum of the squares of the other two sides minus twice the product of those sides times the cosine of the angle included between them. PROBLEM 94. Check the answer of Problem...
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Handbook Encyclopedia of Engineering: A Compact Work of Reference Containing ...

Franklin D. Jones - 1928 - 1254 páginas
...the other side; or, if a and I, be the sides, and A and B the angles opposite them: a sin A b sin B In a triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice their product times the cosine of the included angle; or...
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