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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
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## Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pages
...the circle. 4. 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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## Pamphlets in Philology and the Humanities, Volume 2

English language - 1897 - 726 pages
...is, a -f J : a — I = tan £ ( A + B) : tan | ( A — B) The square of a side is equal to the sum of the squares of the other two sides diminished by twice the product of these sides multiplied by the cosine of the angle opposite the first side. That is, a? •= V + <?...
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## Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...4. Prove that 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. Show very briefly how to construct a triangle having given the base, the projections...
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## Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...THEOREM. 267. In any 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...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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## Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 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...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
...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...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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## 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 and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...THEOREM. 375. 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 by the projection of the other upon that side. D FIG. i. Fio. 2. Let C be an acute angle of the triangle...
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## Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...THEOREM. 375. 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 by the projection of the other upon that side. A Let C be an acute angle of the triangle ABC, and DC...
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## The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...Theorem. 186. 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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