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
| Webster Wells - Geometry - 1886 - 392 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. T> D Let C be an acute angle of the triangle... | |
| George Albert Wentworth - Geometry - 1888 - 274 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...sides and the projection of the other upon that side.** D FiG. 1. Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To prove... | |
| George Albert Wentworth - Geometry, Analytic - 1889 - 266 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** otJier upon that side. A e Let C be the obtuse angle of the triangle ABC, and CD be the projection... | |
| George Albert Wentworth - 1889 - 270 pages
...Theorem In a 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 upon it. 163. Theorem. In an obtuse triangle the square... | |
| George Albert Wentworth - 1889 - 264 pages
...Theorem In a 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 upon it. 163. Theorem. In an obtuse triangle the square... | |
| George Albert Wentworth - Geometry - 1890 - 296 pages
...MD, §342 (in any A the square of the side opposite an acute Z is equal to the sum of the squares of **the other two sides diminished by twice the product...side). Add these two equalities, and observe that** £M— MC. Then Al? + AC* = 2 BM * + 2 AM * . Subtract the second equality from the first. Then AI?... | |
| 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 equal to the... | |
| George Albert Wentworth - Geometry, Plane - 1892 - 264 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 prove AB* = iR?... | |
| George Albert Wentworth - Geometry - 1892 - 468 pages
...acute angle is equal to the sum of the squares of the other two sides diminished by twice the produc.l **of one of those sides and the projection of the other upon that side.** A B D FIG. 1. Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To... | |
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