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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.
Schultze and Sevenoak's Plane and Solid Geometry - Page 192
by Arthur Schultze, Frank Louis Sevenoak - 1918 - 457 pages

## Plane Geometry

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...

## Solid Geometry

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...

## 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...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...

## Plane and Solid Geometry

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...

## Plane and Solid Geometry

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...

## Schultze and Sevenoak's Plane and Solid Geometry

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....

## 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...

## Plane Trigonometry and Applications

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...