 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
 | George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...Á~M*—2MC X MD, §335 (in any Л the. square on the side opposite an acute Z is equivalent to the sum of the squares on the other two sides, diminished by...product of one of those sides and the projection of tlie other upon that side). Add these two equalities, and observe that BM = M С. . Then A~ff + AC?... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...square on the side opposite an acute anale equals the sum of the squares of the other two sides minus twice the product of one of those sides and the projection of the other upon that side. In the A ABC, let с be an acute Z., and PC the projection of AC upon BC. A To prove... | |
 | George Albert Wentworth - Geometry - 1882 - 442 pages
...opposite an acute Z is equivalent to the sum of the squares on the other two sides, .diminished bg twice the product of one of those sides and the projection of the other upon that side). Add these two equalities, and observe that BM = MC. Then A~& + AG1 = 2 BM* + 2 A~Ж\... | |
 | Henry Elmer Moseley - Universities and colleges - 1884 - 214 pages
...that the square of a side of a triangle 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 that side. 7. Two tangents drawn from the same point... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...less than the sum of the squares on the other two sides by twice the rectangle contained by either of those sides and the projection of the other side upon it. HYPOTHESIS. A ABC, with £ C acute. CONCLUSION, c2 -f- zbj = a2 -f- b2. PROOF. By 295, ^_ b2 + j2 =... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...greater than the sum of the squares on the other two sides by twice the rectangle contained by either of those sides and the projection of the other side upon it. HYPOTHESIS. A ABC, with £ CAB obtuse. CONCLUSION, a* = b* + C* + 2bj. PROOF. By 294, (b + JY = P +... | |
 | 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, Analytic - 1889 - 264 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 - 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 - 1889 - 276 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... | |
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