 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 - Pàgina 71906 - 188 pàginesVisualització completa - Sobre aquest llibre
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1920 - 328 pàgines
...150°. Theorem 9 330. In any triangle the square of the side opposite an acute angle equals the sum of the squares of the other two sides minus twice the product of one of these sides by the projection of the other side upon it. Fio. 1 FIG. 2 Given the triangle ABC,... | |
 | Chester L. Dawes, S. B. - 1922 - 578 pàgines
...bc sin A sin sin C 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 included angle. That is: 44. 46. cos A = 46. cos /.' 47. cos C = b 2 + c 2... | |
 | Raleigh Schorling, William David Reeve - 1922 - 460 pàgines
...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 angle. Given the triangle ABC. To prove that c2 = a2 + J2 - 2... | |
 | Robert Remington Goff - 1922 - 136 pàgines
...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... | |
 | Chester Laurens Dawes - 1925 - 502 pàgines
...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 included angle. That is: 34. a2 = 62 + c2 - 26c cos A (See triangle in 33)... | |
 | Frederick Wilbur Medaugh - 1925 - 550 pàgines
...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... | |
 | Nels Johann Lennes - 1926 - 240 pàgines
...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... | |
 | Nels Johann Lennes, Archibald Shepard Merrill - 1928 - 300 pàgines
...logarithms. If there are two or more factors in either, cologs may be used. 108. The law of cosines. — In any triangle, the square of one side is equal to the sum of the squares of the other two sides diminished by twice their product multiplied by the cosine of the included... | |
 | 1909 - 1288 pàgines
...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... | |
 | Julian Chase Smallwood, Frank Wolfert Kouwenhoven - 1928 - 208 pàgines
...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... | |
| |
