| 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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