 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...or (2). (1)1 aAAAff | ~I PROPOSITION XIII 264. Theorem. ln 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 plus twice the product of one of these sides and the projection of tJie... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...SUMMARY : c*=t §317 §317 QED PROPOSITION XIX. THEOREM 326. 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, plus twice the product of one of these sides and the projection of... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...those sides and the projection of the other upon that side. 343. 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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...= mi+yi=ai§317 §317 QED PROPOSITION XIX. THEOREM 326. 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, plus twice the product of one of these sides and the projection of... | |
 | Northwest Territories Council of Public Instruction - 1897 - 628 pages
...(d) The bisectors of the angles of a triangle meet in one point. 2. (a) Prove that in obtuse angled triangles, 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 rectangle contained by either of those sides... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...- 2 BC x CD. . ».' PROP. XXVI. THEOREM. 278. 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 '. sides and the projection of the... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...BC) 2 or by cancellation, PROPOSITION XI. THEOREM. 269. 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 tm'ce the product of one of these sides by the projection... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...AD* + BD!-2BCxBD. (?) BD. (?) QED Proposition 152. Theorem. 187. 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 these sides and the projection... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...+ AC2 —2 BC x CD. PROP. XXVI. THEOREM. 278. 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... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...AE?, and ZC? +~DC* = ~AC*. §371 PROPOSITION XXX. THEOREM. 376. 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 ~by the projection,... | |
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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. 
