 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 Roberts Perkins - Geometry - 1860 - 472 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 on the preceding one, produced if necessary. If the angle... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...any triangle, the square of the side opposite to 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. Let C be an acute angle of the triangle... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...any triangle, the square of the side opposite to 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 thnt side. Let C be an acute angle of the triangle... | |
 | Harvard University - 1874 - 668 pages
...any triangle the square of the side opposite to an acute angle is equal to the Bum 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. The area of a trapezoid is equal to... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...2 MСX 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...one of those sides and the projection of the other upon that side). Add these two equalities, and observe that BM = M С. Then A~ff + AC2 = 2 BM2 + 2... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...opposite the obtuse angle is equivalent 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 on that side. A с ^в Let С be the obtuse angle of the triangle ABC, and CD be the projection of... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...the square on the side opposite an ande angle is equivalent to the sum of the squares of the oiler two sides diminished by twice the product of one of those sides and t he projection of the other upon that side. D Fig. 1. Fig. 2. Let С be an acute angle of the triangle... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...AM* -2MCX MD, § 335 any A the square on the side opposite an acute Z is equivalent to the sum ofthe squares on the other two sides, diminished by twice...one of those sides and the projection of the other upon that side). Add these two equalities, and observe that BM = MC. Then Ä~7? + AC? = 2 BJi* + 2... | |
 | Simon Newcomb - Geometry - 1881 - 418 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. ABC, any triangle having the angle at A acute ; CD, the perpendicular dropped from C on... | |
 | Brookline (Mass.) - Brookline (Mass.) - 1881 - 674 pages
...any triangle, the square of the side opposite to 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. Prove. 4. To find a mean proportional between... | |
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