 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...THEOREM 373 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 side upon it. Fig. 1 Fig. 2 HYPOTHESIS. In the A... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...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... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...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... | |
 | David Eugene Smith - Geometry - 1911 - 358 pages
...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... | |
 | Geometry, Plane - 1911 - 192 pages
...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... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...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... | |
 | John Gale Hun, Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...A). 53. Law of Cosines. The square on one side of any triangle is equal to the sum of the squares on the other two sides diminished by twice the product of these sides times the cosine of the angle between them. To prove a» - 6r + c2 - 26c cos A. ma. ; Similarly Therefore... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...THEOREM 420. 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 it. FIG. 1 FIG. 2 Given, in the triangle ABC,... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...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... | |
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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. 
