 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 186by George Albert Wentworth - 1877 - 398 pagesFull view - About this book
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...In any 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...one of those sides and the projection of the other side upon it. Given in A abc, p the projection of b upon c, and the angle opposite a an acute angle.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...side opposite the obtuse angle is equivalent 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 side upon it. Given the obtuse triangle ABC, the angle ACB being obtuse, and d and AD being the projections... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...side opposite the obtuse angle is equivalent 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 side upon it. § 381. Theorem. In any triangle, the square of a side opposite an acute angle is equivalent... | |
 | Robert Remington Goff - 1922 - 136 pages
...side opposite an obtuse angle of a triangle equals 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 it. 341. Group articles 282, 339, and 340 under one general statement. 342. The sum of the squares... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...In any 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...one of those sides and the projection of the other side upon it. Given in A abc, p the projection of 6 upon c, and the angle opposite a an acute angle.... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...square of the side opposite an acute •angle of any triangle is equal to the sum of the squares of the other two sides diminished by twice the product...one of those sides and the projection of the other side upon it. BA Given the A ABC with an acute ZA, and a' and V, the projections of a and 6 respectively... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...The square of the side opposite an acute angle of any triangle is equal to the sum of the squares of the other two sides diminished by twice the product...one of those sides and the projection of the other side upon it. In the £\ABC the projection of AC upon AB is the segment AD cut off on AB by a perpendicular... | |
 | Ovid Wallace Eshbach, Byron D. Tapley - Technology & Engineering - 1990 - 2104 pages
...perpendicular to AC. The square of the side opposite an acute angle equals the sum of the squares of the other two sides diminished by twice the product of one of those sides by the orthogonal projection of the other side upon it. In Fig. 2.8, a2 = b~ + c2 - 2b • AE. The... | |
 | 1889 - 1032 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 sides and tbe projection of the other upon that side. SCHOOL LAW. 1. Name the different grades of certificates... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 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 those sides and the projection of the other upon it. FIG. 1 FIG. 2 Given, in the triangle ABC, that p is the projection of the side b upon the side... | |
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