| 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... | |
| 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.... | |
| Joe Garner Estill - 1896 - 214 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... | |
| 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...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... | |
| 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... | |
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