 | 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 +... | |
 | George Albert Wentworth - 1887 - 206 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 = sinA : sinB;... | |
 | George Albert Wentworth - 1887 - 346 pages
...and 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 TANGENT8. By § 36, a : b = einA : sinJS;... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...THEORKM. 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...one of those sides and the projection of the other upon that side. D FiG. 1. Let C be an acute angle of the triangle ABC, and DC the projection of AC... | |
 | George Albert Wentworth - 1889 - 264 pages
...legs. 162. 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
...legs. 162. 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 - 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... | |
 | 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, and... | |
 | 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... | |
 | George Irving Hopkins - Geometry, Plane - 1891 - 208 pages
...the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus twice the product of one of those sides and the projection of the other upon that side. Sug. Form an equation by placing the projection of the side opposite the obtuse angle... | |
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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. 
