 | Webster Wells - 1887 - 200 pàgines
...we have (Art. 14). Thus formula (48) may be put in the form g + b _ cot a - b ~ ,ч * ' 116. In any triangle, the square of any side is equal to the sum of the squares of the other two sides, minus tunee their product into the cosine of their included angle.... | |
 | Edwin Schofield Crawley - 1890 - 184 pàgines
...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 - 1892 - 392 pàgines
...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 - 1892 - 194 pàgines
...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... | |
 | Ephraim Miller - 1894 - 222 pàgines
...three formulae may be written А = Ш"-В-C. , _ « sin B a sin С sm(B+C) 60. THEOREM II. In any plane triangle the square of any side is equal to the sum of the squares of the other two sidfs, less twice the product of these two sides by the cosine of their included... | |
 | Daniel Alexander Murray - 1899 - 350 pàgines
...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 - 1904 - 192 pàgines
...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... | |
 | Preston Albert Lambert - 1905 - 120 pàgines
...Hence 62 = a2 -\- c2 — 2ac cos Д that is the square of any side of a triangle equals the sum of the squares of the other two sides minus twice their product into the cosine of their included angle. Solving for cos В, (17) _ a' cos В = — - c» _ b2 ~2ac~ This formula, known as the cosine formula,... | |
 | James Morford Taylor - 1905 - 256 pàgines
...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 pàgines
...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... | |
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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. 
