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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 188
by George Albert Wentworth - 1877 - 398 pages

Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...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 these sides and the projection of the other side upon it. Ex. 726. If the sides of a triangle are 7,...

Solid Geometry

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...

Plane Geometry

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...

Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 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,...

Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 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...

Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...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...

Solid Geometry

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...

Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 488 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....

Schultze and Sevenoak's Plane Geometry

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....

Plane and Solid Geometry

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...