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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. "
Plane Geometry - Page 107
by Edith Long, William Charles Brenke - 1916 - 276 pages
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pages
...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 these sides and the projection of the other side upon it. Prove. 5. Two equivalent triangles have a...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 214 pages
...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 these sides and the projection of the other side upon it. Prove. 5. Two equivalent triangles have a...
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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...Prove that in any 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...one of those sides and the projection of the other upon that side. 4. Prove that regular polygons of the same number of sides are similar polygons. 5....
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...Prove that in any 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...one of those sides and the projection of the other upon that side. 4. Prove that regular polygons of the same number of sides are similar polygons. 5....
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...triangle, the square on the side opposite an acute angle is equivalent 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 upon that side. A 1 Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC....
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Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...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...one of those sides and the projection of the other upon that side. Show very briefly bow to construct a triangle having given the base, the projections...
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A Graded Question Book: Examination Question from the Primaries to the High ...

F. J. Beck - 1899 - 288 pages
...triangle the square on the side opposite an acute angle is equivalent to the sum of the squares of the two sides diminished by twice the product of one of those sides and the projection of the other upon that side. 6. To construct a square equivalent to the sum of any number of given squares. 7. If...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...In any triangle, the square of the side opposite an acute angle u 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 upon that side. D Fio. 1. FH». 2. Let C be an acute angle of the triangle...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 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 those sides % the projection of the other upon that side. D FIG. l. FIG. 2. Let C be an acute angle of the triangle...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 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 of one of these sides and the projection of the other side upon it. CASE I. When the projection of the vertex...
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