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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 those sides and the projection of the other upon that side. "
Logarithmic and Trigonometric Tables - Page 85
edited by - 1914 - 97 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 - 474 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...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 CD be the projection of AC upon...
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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...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 on the side opposite an ас1аe...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...any obtuse Л the square on the aide opposite the obtuse Z is cquivalent 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 thе other on that side) ; and A~C* = STC* + AM* — 2MCX MD, §335 (in any Д the square on the side...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...side opposite an acute angle is equivalent 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 thai side. Let С be ал acate angle of the triangle ABС, and D С the projection of AС upon B С....
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Elements of Geometry: And the First Principles of Modern Geometry

William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...[acute'] angle is equal to the sum of the squares of the other two sides [,£jj twice the rectangle of one of those sides, and the projection of the other upon it. HYPOTH. In the triangles ABC, the angle ACB is obtuse in Fig, 1, and acute in Figs. 2 and 3 (produced)...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 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...one of those sides and the projection of the other on that side) ; and ГC* ^ ЖТ? + AM* -2MCX MD, § 335 any A the square on the side opposite an acute...
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