 | 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... | |
 | 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 + <?... | |
 | 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... | |
 | 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.... | |
 | 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.... | |
 | 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.... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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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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. 
