| Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...tan~T(A — B)' with similar expressions for the other pairs of sides. (83) FIG. 21 bis. о 63. //( 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... | |
| Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...sin С sin A sin A sin B sin C a : ¿, : с = sin A : sin B : sin C. 96. 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 sides and the cosine of the included... | |
| Edward Albert Bowser - Trigonometry - 1892 - 194 pages
...sin G sin A sin A sin B sin G о : b : с = sin A : sin B : sin С. 56. 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 sides and the cosine of the included... | |
| Daniel Alexander Murray - Plane trigonometry - 1899 - 350 pages
...62 = c2 + a2-2cacos.B, i? = a2 + b*-2abcosC. (3') These formulas can be expressed in words : 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... | |
| James Morford Taylor - History - 1904 - 192 pages
...be equal to the diameter of the circle circumscribed about the triangle ABC. 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... | |
| James Morford Taylor - Trigonometry - 1905 - 256 pages
...be equal to the diameter of the circle circumscribed about the triangle ABС. 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... | |
| Daniel Alexander Murray - 1906 - 466 pages
...manner, or can be obtained from (3) by symmetry : These formulas can be expressed in words : 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... | |
| Lester Gray French - Steam-turbines - 1907 - 440 pages
...the simple formulas of trigonometry. The most important formula used is the one stating that "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."... | |
| Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...c? + a>-2cacosB, i? = a2 + 62 - 2 ab cos C. (3') These formulas can be expressed in words : 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... | |
| Herbert E. Cobb - Mathematics - 1911 - 298 pages
...perpendiculars from A and B we get b2 = a2 + c2 - 2 ac cos B. c2 = a2 + b2 - 2 ab cos 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 less twice the product of these two sides and the cosine of the included... | |
| |