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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... "
Elementary Mathematical Analysis: A Text Book for First Year College Students - Page 300
by Charles Sumner Slichter - 1914 - 490 pages
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...any obtuse-angled 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 either of the sides containing the obtuse angle into the projection of the other side on the prolongation...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 472 pages
...any obtuse-angled 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 either of the sides containing the obtuse angle into the projection of the other side on the prolongation...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...obtuse angled triangle, the square of the side opposite to 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 upon that side. Let C be the obtuse angle of the triangle...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...obtuse angled triangle, the square of the side opposite to 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 upon that side. Let C be the obtuse angle of the triangle...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...In any obtuse triangle, the square on the side opposite the obtuse angle is equivalent 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 on that side. A Let C be the obtuse angle of the triangle ABC, and...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...any obtuse Л the square on the side opposite the obtuse Z is equivalent to the mm of the squares on the other two sides increased by twice the product of one of those sides and the projection of the other on thai side) ; and 17?=^ + A~М*-2MСХ MD, §335 (in any Л the square...
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...any obtuse Л the square on the side opposite the obtuse Z is equivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides and the projection of the other on that side) ; and ГC* ^ ЖТ? + AM* -2MCX MD, § 335 any A the square...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...In any obtuse triangle, the square on the side opposite the obtuse angle is equivalent 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 on that side. A Let С be the obtuse angle of the triangle ABC, and...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...an obtuse-angled 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. Let C be the obtuse angle of the triangle...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...obtuse angled triangle, the square of the side opposite to 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 upon that side. A FIG. 1. Fio. 2. PROPOSITION XI.— THEOKEM....
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