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. Elements of Plane and Solid Geometry - Page 188by George Albert Wentworth - 1877 - 398 pagesFull view - About this book
| John Gale Hun, Charles Ranald MacInnes - Trigonometry - 1911 - 236 pages
...: tan КС + A). 53. Law of Cosines. The square on one side of any triangle is equal to the sum of **the squares on the other two sides diminished by twice the product of** these sides times the cosine of the angle between them. To prove ať - 6r + c2 - 26c cos A. ma. ; Similarly... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 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 and the projection of the other side upon it. Ex. 726. If the sides of a triangle are 7,... | |
| Geometry, Plane - 1911 - 192 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 of one of** these sides and the projection of the other upon that side. 4. Prove that regular polygons of the same... | |
| William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 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 those sides and the projection of the other upon** it. FIG. 1 FIG. 2 Given, in the triangle ABC, that p is the projection of the side b upon the side... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 360 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 the other** iipon it. Given, in the triangle ABC, that p is the projection of the side b upon the side a, and that... | |
| George Clinton Shutts - Geometry - 1912 - 392 pages
...side opposite an obtuse angle of a triangle equals the sum of the squares of the two other sides plus **twice the product of one of those sides and the projection of the other upon** it. Given a A with sides a, b, c, side a being opposite an obtuse angle, and m being the projection... | |
| George Clinton Shutts - Geometry - 1912 - 392 pages
...side opposite an acute angle of a triangle equals the sum of the squares of the two other sides minus **the product of one of those sides and the projection of the other upon** it. Given a A with the sides a, b, c, side a being opposite an acute angle and m being the projection... | |
| George Wentworth - Geometry - 1912 - 602 pages
...manner : In any triangle the square on the side opposite In any triangle the square on any side is **equivalent to the sum of the squares on the other two sides diminished,** if the side is opposite an acute angle, and increased, if the side is opposite an obtuse angle, by... | |
| Arkansas Education Association - Education - 1912 - 270 pages
...oblique 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** two sides and the projection of the other one on that one." When we come to this theorem we know already... | |
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