 In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.  Elements of Plane and Solid Geometry - Page 201by Alan Sanders - 1908 - 384 pagesFull view - About this book
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...triangle the square on the side opposite the obtuse angle is equivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides by the projection of the other upon that side. Given the obtuse triangle ABC, A being the... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...obtuse triangle the square on the side opposite the obtuse angle is equal to the sum of the squares on the other two sides increased by twice the product of one of those sides and the projection of the other upon it. Given the obtuse A ABC in which C is the obtuse... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...triangle the square on the side opposite the obtuse angle is equivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides by the projection of the other upon that side. Given the obtuse triangle ABC, A being the... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...triangle the square on the side opposite the obtuse angle is equivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides by the projection of the other upon that side. Given the obtuse triangle ABC, A being the... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...obtuse triangle the square on the side opposite the obtuse angle is equal to the sum of the squares on the other two sides increased by twice the product of one of those sides and the projection of the other upon it. Given the obtuse A ABC in which C is the obtuse... | |
 | Charles Sumner Slichter - Functions - 1914 - 520 pages
...that the square of any side opposite an obtuse angle of an oblique triangle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides by the projection of the other on it. Thus in Fig. 119 (2): a2 = 62 _|_ C2 _|_ 2bd (3)... | |
 | Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...2. In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of the other upon that side. The proof of Theorem 1 (repeated from Geometry)... | |
 | Herbert Ellsworth Slaught - Logarithms - 1914 - 296 pages
...2. In any obtuse triangle, the square of .the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of the other upon that side. The proof of Theorem 1 (repeated from Geometry)... | |
 | George Wentworth - Plane trigonometry - 1914 - 348 pages
...triangle the square on the side opposite the obtuse angle is equivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides by the projection of the other upon that side. This and the analogous proposition are given... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...side opposite an acute angle is equivalent to the sum of the squares of the other two sides, minus twice the product of one of these sides and' the projection of the other side upon it. •Af FiG. 1 FIG. 2 Given the triangle ABC, having an acute angle C, and d the projection of a upon... | |
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