 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.  Schultze and Sevenoak's Plane and Solid Geometry - Page 193by Arthur Schultze, Frank Louis Sevenoak - 1913 - 457 pagesFull view - About this book
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...350. In any obtuse triangle, the square of the side opposite an obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of the sides by the projection of the other side upon that side. A c Given the obtuse /.ACB in the A ABC,... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...than the sum of the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other side upon it. (ii) Comparing the Enunciations of II. 12, i. 47, II. 13, we see that in the triangle ABC, if the angle... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...In 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 by the projection of the other side upon it. 5. The sides of a right triangle are 1o in. and 5 in.... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...374 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, increased by twice the product of one of those sides and the projection of the other side upon it. HYPOTHESIS. In the A ABC, the ^ C is obtuse,... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...374 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, increased by twice the product of one of those sides and the projection of the other side upon it. HYPOTHESIS. In the A ABC, the ZC is obtuse,... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...the side opposite the obtuse angle is equal to the sum, of the squares on the other two sides plus twice the product of one of these sides and the projection of the other side upon it. Given: A ABC, an obtuse ZB, A and the projection BD of AB on CB. To Prove : AC2 = AB2 + BC2 + < 2 BC X BD.... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it. AA B C B Fio. 1. Fio. 2. Draw acute-angled A ABC ; draw also &ABC having an obtuse angle at B. Let... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...the side opposite an acute angle is equal to the sum of the squares of the other two sides, 'minus twice the product of one of these sides and the projection of the other side upon it. O D B a B Fio. 1. FIG. 2. Draw acute-angled &ABC ; draw also AABC having an obtuse angle at -B. Let... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...on the side opposite an acute angle is equal to the sum of the squares on the other two sides minus twice the product of one of these sides and the projection of the oiher sule upon it. AA Given : A ABC, an acute ZC, and the projection DC of AC on BC. To Prove : AB2... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 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...one of these sides and the projection of the other upon that side. 11. DE is a line parallel to AB, the hypotenuse of the right triangle ABC, meeting... | |
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