 | Encyclopedias and dictionaries - 1865 - 856 pages
...call these х and >/, we have xy = 24, the first of the equations above given. Again, we know that the sum of the squares on the sides is equal to the square on the diagonal ; hence, we have the second equation, zs + y- = 62. From these two equations, we should be... | |
 | Encyclopedias and dictionaries - 1868 - 856 pages
...we call these x and y, we have xy = 24, the first of the equations above given. Again, we know that the sum of the squares on the sides is equal to the square on the diagonal ; hence, we have the second equation, x2 + y1 = 62. From these two equations, we should be... | |
 | James Blaikie - 1892 - 74 pages
...show that AC2+BD2=2 (EF2+FG2+GH2 + HE-), and' apply the previous Ex. AH BFC 4. In any quadrilateral, the sum of the squares on the sides is equal to the sum of the squares on the diagonals, together with four times the square on the straight line joining... | |
 | Encyclopedias and dictionaries - 1897 - 898 pages
...we call these x and y, we have xy = 24, the first of the equations above given. Again, we know that the sum of the squares on the sides is equal to the square on the diagonal , hence, we have the second equation, .e* 4- y* = 52. From these two equations, we should... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1907 - 328 pages
...ascertain whether under any reasonable interpretation they are both applicable to the problem. 151. If squares are constructed on the two sides, and also...BC Hence it is called the Pythagorean proposition. QUADRATIC AND LINEAR EQUATIONS 5sq. es ii-f t. PROBLEMS 1. The sum of the sides about the right angle... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1908 - 520 pages
...ascertain whether under any reasonable interpretation they are both applicable to the problem. 151. If squares are constructed on the two sides, and also...BC Hence it is called the Pythagorean proposition. QUADRATIC AND LINEAR EQUATIONS 1. f Ml s 1.Lft 6s ft. •16-sc^fPROBLEMS 1. The sum of the sides about... | |
 | 1908 - 650 pages
...AB and AC is equal to the difference of the squares on AD and AE. 8. Prove that in any parallelogram the sum of the squares on the sides is equal to the sum of the squares on the diagonals. BOOK-KEEPING. One hour and a half allowed for this paper. NB —... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 402 pages
...+ 3 = 0. EQUATIONS SOLVED BY FACTORING 120. Pythagorean Proposition. It is proved in geometry that if squares are constructed on the two sides, and also...the sides is equal to the square on the hypotenuse. HISTORICAL NOTE The Pythagorean Theorem. The theorem that the square on the hypotenuse of a right triangle... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 412 pages
...+ 3 = 0. EQUATIONS SOLVED BY FACTORING 120. Pythagorean Proposition. It is proved in geometry that if squares are constructed on the two sides, and also...the sides is equal to the square on the hypotenuse. HISTORICAL НОТЕ The Pythagorean Theorem. The theorem that the square on the hypotenuse of a right... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...sides. (This theorem is probably due to Gregory of St. Vincent [1584-1657].) *12. In any quadrilateral, the sum of the squares on the sides is equal to the sum of the squares on the diagonals plus four times the square on the line joining the middle points... | |
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If squares are constructed on the two sides, and also on the hypotenuse of a right-angled triangle, then the sum of the squares on the sides is equal to the square on the hypotenuse. 
