 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 and Solid Geometry: Inductive Method - Page 231by Arthur A. Dodd, B. Thomas Chace - 1898 - 406 pagesFull view - About this book
 | Oregon. Office of Superintendent of Public Instruction - Education - 1893 - 268 pages
...circumference. 10. 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... | |
 | Rutgers University. College of Agriculture - 1893 - 682 pages
...intercepted arcs. 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... | |
 | 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... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...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... | |
 | 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*... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...other leg. 342. 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...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... | |
 | 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... | |
 | Joe Garner Estill - Geometry - 1896 - 168 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 + <?... | |
 | 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...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. To prove that... | |
| |
