 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.  Plane Trigonometry - Page 75by Webster Wells - 1887 - 103 pagesFull view - About this book
 | 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 - 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... | |
 | 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... | |
 | Alfred Monroe Kenyon, Louis Ingold - Plane trigonometry - 1919 - 306 pages
...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... | |
 | Chester Laurens Dawes - Electric engineering - 1922 - 564 pages
...2x tan (x + v) tan (x — y) Law of Sines. — In any triangle 6 sin B c 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... | |
 | Leonard Eugene Dickson - Plane trigonometry - 1922 - 225 pages
...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... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...side 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... | |
 | Chester L. Dawes, S. B. - 1922 - 578 pages
...2 tan x 1 - tan 2 x Law of Sirees. — In any triangle • 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... | |
 | Charles Wilbur Leigh - Mechanics, Applied - 1923 - 294 pages
...triangle the 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,... | |
 | Chester Laurens Dawes - Electric engineering - 1925 - 502 pages
...180° - 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... | |
| |
