 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 of one of those sides and the projection of the other side upon it.  Plane and Solid Geometry - Page 169by Claude Irwin Palmer, Daniel Pomeroy Taylor - 1918 - 436 pagesFull view - About this book
 | Isaac Newton Failor - Geometry - 1906 - 431 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 other side upon it. HYPOTHESIS. In the A ABC, the ZC is obtuse, and CD is the projection of AC upon BC produced. Let AB... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...THEOREM. 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 plus twice the product of one of these two sides and the projection of the other side upon that one. Given : Obtuse A ABC ; etc. To... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...THEOREM. 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 plus twice the product of one of these two sides and the projection of the other side upon that one. Given: Obtuse A ABC; etc. To Prove:... | |
 | Lawrence Robert Dicksee - Accounting - 1907 - 128 pages
...the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by one of those sides and the projection of the other side upon it. Q. 8. — Prove that the opposite angles of any quadrilateral inscribed in a circle are together equal... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...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 the other side upon it. Draw A ABC having an obtuse angle at C ;... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...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 the other side upon it. Draw A ABC having an obtuse angle at C; draw... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...sum of the squares on the sides containing that angle diminished by twice the rectangle contained by one of those sides and the projection of the other side upon it. 227 THEOREM 56. In any triangle the sum of the squares on two sides is equal to twice the square on... | |
 | Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...345. In an cbtuse 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 two sides and the projection of the other side upon that one. 346. In any triangle the square... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...439. THEOREM. The square of the side opposite an obtuse angle of a triangle 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 the other upon it. c A ° BD Outline of Proof : Let ZB be the given... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 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, plus twice the product of one of these sides and the projection of the other side upon it. Draw A ABC, obtuse-angled at B. Let the projection,... | |
| |
