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 multiplied by the cosine of their included angle. Elements of Applied Mathematics - Page 146by Herbert E. Cobb - 1911 - 274 pagesFull view - About this book
| John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...10° 12', B = 46°, 36'. Ans. C = 123° 12', 6 = 205.1, c = 236.4. 202 OBLIQUE TRIANGLES 463. 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... | |
| Alfred Monroe Kenyon, William Vernon Lovitt - Mathematics - 1917 - 368 pages
...brought under this head, since we may find the third angle which lies opposite the given side. 100. 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... | |
| Mathematics - 1917 - 284 pages
...solved by aid of the following theorem, which is known as the Cosine Law. 186a. Theorem: In any oblique 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 their included angle.... | |
| Leonard Magruder Passano - Trigonometry - 1918 - 168 pages
...8.8691 a = .07398 56. The Law of Cosines. Case IV may be solved by means of the following theorem : 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 those sides by the cosine of their included... | |
| Leonard Magruder Passano - Trigonometry - 1918 - 176 pages
...8.8691 a = .07398 56. The Law of Cosines. Case IV may be solved by means of the following theorem : 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 those sides by the cosine of their included... | |
| Alfred Monroe Kenyon, Louis Ingold - Plane trigonometry - 1919 - 306 pages
...systematic method of solution of oblique triangles, which is given in the following chapter. 38. The 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 their product into the cosine of their included angle. Denote... | |
| Leonard Eugene Dickson - Plane trigonometry - 1922 - 225 pages
...of the embankment at its base. 17. Solve Exs. 2 and 7 of Art. 88 by using only right triangles. 90. Law of cosines. In any triangle the square of any side is equal to the sum of the squares of the remaining two sides diminished by double the product of those two sides multiplied by... | |
| Chester Laurens Dawes - Electric engineering - 1922 - 552 pages
...sin x = — cot i = sin x = — cos x = — tan x APPENDIX APPENDIX D Simple Trigonometric Formulas 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... | |
| |