 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, minus twice the product of one of these sides and the projection of the other side upon it.  Drill Book in Plane Geometry - Page 73by Robert Remington Goff - 1922Full view - About this book
 | George Clinton Shutts - Geometry - 1913 - 494 pages
...representing the projected side. The theorem may be stated in general as follows: The square of any side of a triangle equals the sum of the squares of the...those sides and the projection of the other upon it. NUMERAL RELATIONS C, MA Given a A with sides a, 6, c, Z. A being acute, obtuse, or right, and m, the... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...side opposite the obtuse angle is equal to the sum of the squares on the other tioo sides increased by twice the product of one of those sides and the projection of the other upon it. Given the obtuse A ABC A iii which C is the obtuse angle. Let a, ft, c be the sides opposite the angles... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...side opposite the acute angle is equal to the sum of the squares on the other two sides diminished by twice the product of 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 be the sides... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...the side opposite the obtuse angle is equal to the sum of the squares on the other sides increased by twice the product of one of those sides and the projection of the other upon it. 201. Problem 1. To construct a square whose area shot, tie equal to the sum of the areas of two given... | |
 | 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 the angles... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...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 side upon it. Given in A abc, p the projection of b upon c, and the angle opposite a an acute angle.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...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 side upon it. Given in A abc, p the projection of b upon c, and the angle opposite a an acute angle.... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 306 pages
...Marsh's Trigonometry, page 126. V THEOREM 15 The square of the side opposite an acute angle of any triangle equals the sum of the squares of the other two sides minus twice the product of one of the two and the projection of the other upon it. Express as an equation the value of the projection... | |
 | Herbert Ellsworth Slaught - Logarithms - 1914 - 400 pages
...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. Theorem 2. In any obtuse triangle, the square of the side opposite the obtuse angle is equal... | |
 | Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...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. Theorem 2. In any obtuse triangle, the square of the side opposite the obtuse angle is equal... | |
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