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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 186
by George Albert Wentworth - 1877 - 398 pages
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1893 - 270 pages
...side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of tJie other upon that side. A Let C be the obtuse angle of the triangle ABC, and CD be the projection...
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Report, Volume 10

Oregon. Office of Superintendent of Public Instruction - Education - 1893 - 268 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 sides and the projection of the other upon that side. SCHOOL LAW. 1. Name the different grades of certificates...
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Report

Rutgers University. College of Agriculture - 1893 - 680 pages
...3. In any triangle, the square of the side of 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 by the projection of the other side upon it. 4. The areas of similar triangles are to each...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...proof is not required.) 3. Prove that in any triangle the square of 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 these sides and the projection of the other upon that side. 4. Prove that regular polygons of the same...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1895 - 468 pages
...square of the side opposite an acute angle is equal to the sum of the squares of the other two sidles diminished by twice the product of one of those sides and the projection of the other upon that side. A Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To prove 1J?= BC*...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 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...sides and the projection of the other upon that side. 343. In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of...
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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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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...proof is not required. 3. 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...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. If the radius of...
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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...proof is not required. 3. 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...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. If the radius of...
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