 | Military Academy, West Point - 1934 - 964 páginas
...radii. 11 10 Theorem: In any triangle, the square of the side opposite an acute angle is erçu^ sum if the squares of the other two sides, minus twice the product of oœ nt uan<i the projection of the other side upon it. (Consider only the case in whiefc ; > of the... | |
 | United States Military Academy - 1942 - 1028 páginas
...radii. Theorem: In any triangle, the square of the side opposite an acute angle U equal '•' sum of the squares of the other two sides, minus twice the product of one of ttw • and the projection of the other side upon it. (Consider only the case in which eit'i""... | |
 | 1992 - 270 páginas
...and an angle art given. 167. Law of Cosines In any triangle, the square of any side equals the sum of the squares of the other two sides minus twice the product of these two sides times the cosine of the angle between them. Thus, a* = b* + c* — 2bc cos A b* = o* + c1 — 2ac cos... | |
 | Lyndon O. Barton - 1993 - 744 páginas
...remembered using Figure B.3. 270' Figure B.3 Sign diagram. Laws for Oblique Triangles Law of Cosines In any triangle, the square of any side is equal to the sum of the squares of the other sides minus twice their product times the cosine of their included angle. For... | |
 | Fred Safier - 1997 - 420 páginas
...side is the same for all three sides: a a sin« sinjS sin« sin/ sin ß sin 7 LAW OF COSINES: In any triangle, the square of any side is equal to the sum of the squares of the other two sides, diminished by twice the product of the other two sides and the cosine... | |
 | Haym Kruglak, John Moore, Ramon Mata-Toledo - 1998 - 508 páginas
...LAW OF COSINES The law of cosines states that the square of any triangle 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. Thus, expressed in terms of the sides and angles given... | |
 | Robert E. Moyer - 1998 - 246 páginas
...sin C For a proof of the law of sines, see Prob. 11.1. or b 11.3 LAW OF COSINES In any triangle ABC, the square of any side is equal to the sum of the squares of the other two sides diminished by twice the product of these sides and the cosine of the... | |
 | Christopher J. McCauley - 2000 - 532 páginas
...sinB asinB sinA asinC sinA or b = csiaA sinC fsinB sinC fcsinC Mil/1' The Law of Cosines. — 1n any 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 the included angle; or... | |
 | Richard Gentle, Peter Edwards, William Bolton - 2001 - 305 páginas
...angle C (Figure 5.1.8). The cosine rule can be stated as: the square of a side is equal to the sum of the squares of the other two sides minus twice the product of those sides multiplied by the cosine of the angle between them and so: a2 = b2 + c2 - 2bc cos A b2... | |
 | Gerald James Holton, Stephen G. Brush - 2001 - 604 páginas
...angles for general triangles. (a) Law of cosines: The square of any one side is equal to the sum of the squares of the other two sides minus twice the product of those two, multiplied by the cosine of their included angle. For example, c2 = a2 + b2 - lab cos y.... | |
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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. 
