 In any obtuse triangle, the square of the 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 these sides and the projection of the other side upon it.  The Elements of Geometry - Page 167by Webster Wells - 1886 - 371 pagesFull view - About this book
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...upon 21. [See practical problems, pp. 298 and 299.] PROPOSITION XXXVII. THEOREM 333. In any obtuse triangle, the square of the 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 these sides and the projection... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...Show that if c = a in Fig. 138, 62 = 2 ap. v 200. Theorem VIII. In any obtuse triangle the square on the side opposite the obtuse angle is equal to the sum of the squares on the other two sides increased by twice the product of one of those sides and the projection... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...sides and the projection of the other upon it. 200. Theorem VIII. In any obtuse triangle the square on the side opposite the obtuse angle is equal to the sum of the squares on the other sides increased by twice the product of one of those sides and the projection... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...Show that if c = a in Fig. 138, b2 = 2 ap. 176 200. Theorem VIII. In any obtuse triangle the square on the side opposite the obtuse angle is equal to the sum of the squares on the other tioo sides increased by twice the product of one of those sides and the projection... | |
 | Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...product of one of those sides and the projection of the other upon that side. Theorem 2. In any obtuse triangle, the square of the 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... | |
 | Herbert Ellsworth Slaught - Logarithms - 1914 - 400 pages
...product of one of those sides and the projection of the other upon that side. Theorem 2. In any obtuse triangle, the square of the 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... | |
 | Herbert Ellsworth Slaught - Logarithms - 1914 - 296 pages
...2. In any obtuse triangle, the square of .the 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 other upon that side. The proof of Theorem 1 (repeated from Geometry)... | |
 | Charles Sumner Slichter - Functions - 1914 - 520 pages
...that the square of any side opposite an obtuse angle of an oblique triangle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides by the projection of the other on it. Thus in Fig. 119 (2): a2 = 62 _|_ C2 _|_ 2bd (3)... | |
 | College Entrance Examination Board - Mathematics - 1915 - 72 pages
...degrees, find the number of degrees contained in the sum of the angles A and C. 5. (a) In any obtuse triangle, the square of 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 the sides by the projection of the... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...four lines is equal to twice the square of the diameter. PROPOSITION XXXIX. THEOREM 336. In an obtuse triangle the square of 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 these two sides and the projection... | |
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