 In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.  Plane and Solid Geometry - Page 168by Isaac Newton Failor - 1906 - 418 pagesFull view - About this book
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...any triangle the square on the side opposite the acute angle is equal to the sum of the squares on the other two sides diminished by twice the product...one of those sides and the projection of the other upon it. Given the A ABC in which C is an acute angle. Let a, b, c be the sides opposite the angles... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...any triangle the square on the side opposite the acute angle is equal to the sum of the squares on the other two sides diminished by twice the product...one of those sides and the projection of the other upon it. Then, in Why? Why? Why? FIG. 139 Given the A ABC in which C is an acute angle. Let a, b, c... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...triangle the square on the side opposite an acute angle is equal to the sum of the squares on t/ie other two sides diminished by twice the product of...one of those sides and the projection of the other upon it. 200. Theorem VIII. In any obtuse triangle the square on the side opposite the obtuse angle... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...triangle the square on the side opposite an acute angle is equivalent to the sum of the squares on the other two sides diminished ~by twice the product of one of those sides ~by the projection of the other upon that side. c c DB FIG. 1 FIG. 2 Given the triangle ABC, A being... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...triangle the square on the side opposite an acute angle is equivalent to the sum of the squares on the other two sides diminished ~by twice the product of one of those sides by the projection of the other upon that side. o G c DB FIG. 1 FIG. 2 Given the triangle ABC, A being... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...opposite the acute angle is equal to the sum of the squares on the other two sides diminished by tivice the product of one of those sides and the projection of the other upon it. 138 Fio. 139 Given the A ABC in which C is an acute angle. Let a, b, c be the sides opposite... | |
 | Herbert Ellsworth Slaught - Logarithms - 1914 - 400 pages
...: Theorem 1. In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice...one of those sides and the projection of the other upon that side. Theorem 2. In any obtuse triangle, the square of the side opposite the obtuse angle... | |
 | Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...: Theorem 1. In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice...one of those sides and the projection of the other upon that side. Theorem 2. In any obtuse triangle, the square of the side opposite the obtuse angle... | |
 | Charles Sumner Slichter - Functions - 1914 - 516 pages
...theorem: The square of any side opposite an acute angle of an oblique triangle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides by the projection of the other side on it. Thus in Fig. 119 (1) : o2 = 62 _|_ C2 _ 2bd (1) Now: d =... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...side opposite the obtuse angle is equivalent to the sum of the squares of the other two sides, plus twice the product of one of those sides and the projection of the other side upon it. Given the obtuse triangle ABC, the angle ACB being obtuse, and d and AD being the projections of a... | |
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