| 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 - 184 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. 200. Theorem VIII. In any obtuse triangle the square on the side opposite the obtuse angle... | |
| 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. o G 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. c c DB FIG. 1 FIG. 2 Given the triangle ABC, A being... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...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. Given in A** a6c, p the projection of 6 upon c, and the angle opposite a obtuse. To prove a 2 = 6 2 + c 2 + 2 cp.... | |
| 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... | |
| 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... | |
| 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... | |
| 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 =... | |
| |