 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.  Plane and Solid Geometry - Σελίδα 150των Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | George Bruce Halsted - 1886 - 394 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1888 - 272 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 264 σελίδες
...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 - 1890 - 420 σελίδες
...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 - 1890 - 186 σελίδες
...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 - 1891 - 208 σελίδες
...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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