| Brookline (Mass.) - Brookline (Mass.) - 1881 - 672 pages
...work. 3. In 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... | |
| 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... | |
| George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...§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 twice the 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\... | |
| George Albert Wentworth - Trigonometry - 1882 - 234 pages
...and the law may be stated as follows : The square of any side of a triangle is equal to the sum of **the squares of the other two sides, diminished by twice the product of** the sides and the cosine of the included angle. § 38. LAW OF TANGENTS. By § 36, a : b = sin A : sin... | |
| Henry Elmer Moseley - Universities and colleges - 1884 - 214 pages
...chords. 6. Prove 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 Albert Wentworth - Trigonometry - 1884 - 330 pages
...and the law may be stated as follows : The square of any side of a triangle is equal to the sum of **the squares of the other two sides, diminished by twice the product of** the sides and the cosine of the included angle. § 38. LAW OF TANGENTS. By § 36, a : b = sin A : sin... | |
| 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 =... | |
| Webster Wells - Geometry - 1886 - 392 pages
...THEOREM. 341. 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... | |
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