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" 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. "
Elements of Geometry: Plane geometry - Page 148
by Andrew Wheeler Phillips, Irving Fisher - 1896
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Schultze and Sevenoak's Plane and Solid Geometry

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...
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Solid Geometry

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...
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Plane Geometry

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...
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Plane and Solid Geometry

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...
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Plane Trigonometry and Applications

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...
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Logarithmic and Trigonometric Tables

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...
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Constructive Text-book of Practical Mathematics, Volume 2

Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...theorem 14. V THEOREM 16 The square of the side opposite the obtuse angle of a triangle equals the sum of the squares of the other two sides plus twice the product of one of the two and the projection of the other upon it. Express algebraically the value of the projection...
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Examination Questions in Mathematics: Third Series, 1911-1915

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...
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Robbin's New Plane Geometry

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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Plane Geometry

Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...6 = 18, c = 12, and pc = 4. PROPOSITION XXII. THEOREM 311. In any triangle having an obtuse angle, 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 sides and the projection of...
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