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 Geometry - Page 107by Edith Long, William Charles Brenke - 1916 - 276 pagesFull view - About this book
| 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... | |
| 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... | |
| Yale University - 1898 - 212 pages
...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 two sides diminished by twice...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
...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 two sides diminished by twice...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.... | |
| James Howard Gore - Geometry - 1898 - 232 pages
...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 the product...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.... | |
| Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 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...one of those sides and the projection of the other upon that side. Show very briefly bow to construct a triangle having given the base, the projections... | |
| 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, Plane - 1899 - 278 pages
...In any triangle, the square of the side opposite an acute angle u 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 Fio. 1. FH». 2. Let C be an acute angle of the triangle... | |
| George Albert Wentworth - Geometry - 1899 - 498 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 of one of those sides % the projection of the other upon that side. D FIG. l. FIG. 2. Let C be an acute angle of the triangle... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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... | |
| |