 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.  Plane and Solid Geometry - Σελίδα 150των Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | David Sands Wright - 1906 - 104 σελίδες
...described on the side of a triangle opposite an acute angle is equal to the sum of the squares described on the other two sides diminished by twice the product of one of those sides by the projection of the other side upon it. Problem. To find the area of a triangle, when the three... | |
 | Lawrence Robert Dicksee - 1907 - 128 σελίδες
...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... | |
 | Henry Sinclair Hall - 1908 - 286 σελίδες
...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... | |
 | Fletcher Durell - 1909 - 360 σελίδες
...THEOREM 349. In any oblique 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 time sides by the projection of the other side upon it. KB. 2 Given acute ZC in A ABC, and DC the projection... | |
 | Grace Lawrence Edgett - 1909 - 104 σελίδες
...incommensurable. 9. The square of the side opposite an acute angle, in any triangle, 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 that side. 10. In any obtuse-angled triangle the square... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 286 σελίδες
...XXXVII. THEOREM. 398. 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 by the projection of the other upon that side. Given the A ABC, £ A being acute and CD J. AB. To prove... | |
 | George Albert Wentworth, David Eugene Smith - 1910 - 287 σελίδες
...triangle the square on the side opposite an acute angle is equivalent to the sum of the squares on the other two sides diminished by twice the product of one of those sides by the projection of the other upon that side. c a' DB FIG. 1 FIG. 2 Given the triangle ABC, A being... | |
 | David Eugene Smith - 1911 - 358 σελίδες
...squares. 1 THEOREM. 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 by the projection of the other upon that side. THEOREM. A similar statement for the obtuse triangle.... | |
 | 1911 - 192 σελίδες
...Prove that in any triangle the square on the side opposite an acute angle is equivalent 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 that side. 4. Prove that regular polygons of the same... | |
 | Clara Avis Hart, Daniel D. Feldman - 1911 - 328 σελίδες
...as follows: 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. Ex. 726. If the sides of a triangle are 7,... | |
| |
