 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
 | Edward Albert Bowser - Geometry - 1890 - 420 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 these sides by the projection of the other side upon it. Hyp. Let B be an acute Z of the A ABC, and... | |
 | George Irving Hopkins - Geometry, Plane - 1891 - 208 pages
...the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus twice the product of one of those sides and the projection of the other upon that side. Sug. Form an equation by placing the projection of the side opposite the obtuse angle... | |
 | George Albert Wentworth - Geometry, Plane - 1892 - 266 pages
...side opposite an acute angle is equal to the sum of the squares of the other two sides diminished Ity twice the product of one of those sides and the projection of the other upon that side. Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To... | |
 | Euclid - Geometry - 1892 - 460 pages
...of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of those sides, and the projection of the other side upon it. Prop. 13 may be written AC2=AB2+BC2-2CB.BD, and it may also be enunciated as follows : In every triangle... | |
 | 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... | |
 | Rutgers University. College of Agriculture - 1893 - 682 pages
...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... | |
 | Oregon. Office of Superintendent of Public Instruction - Education - 1893 - 268 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 sides and the projection of the other upon that side. SCHOOL LAW. 1. Name the different grades of certificates... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...Prove that in any 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.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 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...one of those 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... | |
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