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" 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. "
Elements of Plane and Solid Geometry - Page 188
by George Albert Wentworth - 1877 - 398 pages
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...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 and the projection of the other side upon it. T> D Let C be an acute angle of the triangle...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 274 pages
...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...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 upon BC. To prove...
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A Text-book of Geometry

George Albert Wentworth - Geometry, Analytic - 1889 - 266 pages
...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...
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Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 270 pages
...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...
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Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1889 - 264 pages
...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...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1890 - 296 pages
...MD, 342 (in any A the square of the side opposite an acute Z is equal to the sum of the squares of the other two sides diminished by twice the product...side). Add these two equalities, and observe that M— MC. Then Al? + AC* = 2 BM * + 2 AM * . Subtract the second equality from the first. Then AI?...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...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...
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Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ...

George Irving Hopkins - Geometry, Plane - 1891 - 208 pages
...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 equal to the...
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A Text-book of Geometry

George Albert Wentworth - Geometry, Plane - 1892 - 264 pages
...side opposite an acute angle is equal to the sum of the squares of the other two sides diminished Ity twice the product of one of those sides and the projection of the other upon that side. Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To prove AB* = iR?...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1892 - 468 pages
...acute angle is equal to the sum of the squares of the other two sides diminished by twice the produc.l of one of those sides and the projection of the other upon that side. A B D FIG. 1. Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To...
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