 | Fletcher Durell - Geometry - 1911 - 553 pages
...349. In any oblique triangle, tlie 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 side upon it. ADO Fig. 1 Given acute ZC in A ABC, and DC the projection... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...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 those sides by the projection of the other side upon it. Given acute ZC in A ABC, and DC the projection of the... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...THEOREM. 375. 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. D Fio. 1. Fio. 2. Let C be an acute angle of the triangle... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 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...one of those sides and the projection of the other side upon it. Fig. 1 Fig. 2 HYPOTHESIS. In the A ABC, the £ B is acute, and BD is the projection of... | |
 | 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...one of those sides and the projection of the other side upon it. Fig. 1 Fig. 2 HYPOTHESIS. In the A ABC, the / B is acute, and BD is the projection of... | |
 | David Sands Wright - Geometry - 1906 - 104 pages
...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... | |
 | Fletcher Durell - Geometry, Plane - 1909 - 360 pages
...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 - 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 the square... | |
 | Francis Rolt-Wheeler - History of mathematics - 1909 - 356 pages
...equal to the sum of the squares on the other two sides diminished (increased) by twice the rectangle of one of those sides and the projection of the other upon it. The figure of the Pythagorean theorem was called by the Persians the Princess, and other two figures... | |
 | 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 and CD J. AB. To prove... | |
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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. 
