| 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 - 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... | |
| 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... | |
| 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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