 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...acute. Then a2 = 62+c2-2c6' (The square of the side opposite the 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 A other upon it.) FIG. 79 Since b' = b cos A, it follows... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...XXXVI. THEOREM 331. In any 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 those sides and the projection of the other side upon it. Given in A abc, p the projection of... | |
 | John Wesley Young, Frank Millett Morgan - Plane trigonometry - 1923 - 154 pages
...cosines. It may be stated as follows : Tlie 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 these two sides times the cosine of their included angle.* 32. Solution of Triangles. To solve a triangle... | |
 | Arthur Horace Blanchard - Pavements - 1919 - 1692 pages
...finding of log sin C. THE LAW OK COSINES. 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 those sides multiplied by the cosine of their included angle. That is, a2 = b5 + c2 — 2 be cos A... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...Theorem 39a. 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 by the projection of the other upon it. b Fro. 1. D FIQ. 2. Given: In AABC, H^A... | |
 | James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...Cosine Law, and 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 two sides and the cosine of the included angle. 80. The formulae of Art. 79 are not convenient... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...any triangle the square of any side is equal to the sum of the squares of thetother two sides minus twice the product of these sides and the cosine of the included angle. Given the triangle ABC. To prove that c2=a?+P-2ab cos C. STATEMENTS Proof REASONS 1. Draw the altitude... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...XXXVI. THEOREM 331. In any 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 those sides and the projection of the other side upon it. Given in A abc, p the projection of... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...234. Theorem. The square of the side opposite an acute •angle of any triangle 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 side upon it. BA Given the A ABC with an acute ZA,... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...adjacent sides. 10. The square of the side opposite an acute angle of any triangle 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 side upon it. In the £\ABC the projection of AC... | |
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In any 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 those sides and the projection of the other side upon it. 
