 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.  Elements of Plane and Solid Geometry - Page 186by George Albert Wentworth - 1877 - 398 pagesFull view - About this book
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...Theorem VII. In 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...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 is equal... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...Theorem VII. In 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...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 A, B,... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...Theorem VII. In 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...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... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...other pair. PROPOSITION XI. THEOREM 341. In any triangle the square on the side opposite an acute angle is equivalent to the sum of the squares on the other...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
...= AB2. PROPOSITION XI. THEOREM 341. In any triangle the square on the side opposite an acute angle is equivalent to the sum of the squares on the other...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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...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.... | |
 | 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...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 is equal... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...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.... | |
 | 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... | |
 | Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...embody the so-called Law of Cosines: In any triangle, the square on any side is equal to the sum of the squares on the other two sides diminished by twice the product of those two sides times the cosine of the included angle. (b) Second proof. The law of cosines may be... | |
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