 | Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these sides and the cosine of the included angle. We are to prove a2 = I', + ca — 2bc cos A. In one figure BD = AB — AD, and in the other BD = AD-AB;... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...Theorem. 330. 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 by the projection of the other side upon it. Hyp. Let B be an acute Z of the A ABC,... | |
 | George Albert Wentworth - Surveying - 1890 - 186 pages
...the law may be stated as follows : The square of any side of a triangle is equal to the sum of (he 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... | |
 | Edward Albert Bowser - Trigonometry - 1894 - 206 pages
...any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these sides and the cosine of the included angle. In an acute-angled triangle (see first figure) we have (Geom., Book III., Prop. 26) BC2 = AC2 + AB2... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these sides and the cosine of the included angle. In an acute-angled triangle (see С first figure) we have (Gcom., Book III., Prop. 26) ь, BC2 = AC2... | |
 | Oregon. Office of Superintendent of Public Instruction - Education - 1893 - 268 pages
...circumference. 10. 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 sides and the projection of the other upon that side. SCHOOL LAW. 1. Name the different grades... | |
 | Rutgers University. College of Agriculture - 1893 - 682 pages
...intercepted arcs. 3. In any triangle, the square of the side of 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. 4. The areas of similar triangles are... | |
 | Joe Garner Estill - 1896 - 186 pages
...the circle. 4. 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. Prove. 5. Two equivalent triangles... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...the circle. 4. 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. Prove. 5. Two equivalent triangles... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...other leg. 342. 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. 343. In any obtuse triangle, the... | |
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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. 
