 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...Find the area of a triangle whose base is 10 inches and altitude 6 inches. PROPOSITION X. — THEOREM. The rectangle contained by the sum and difference of two lines is equivalent to the difference of their squares. Given. — Let AB and BC be any two lines. To Prove. — Then we are to prove that (AB+BC)(AB-BC)... | |
 | James McMahon - Geometry, Plane - 1903 - 380 pages
...difference is equivalent to the square on half their sum." Ex. Prove again that " the rectangle of the sum and difference of two lines is equivalent to the difference of their squares." Squares on equal parts and on unequal parts. 54. THEOREM 17. // a line is divided into... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...(AB - BCf = Zfi2 + BC1 - 2 AB X BC. 729. The rectangle AC ED whose sides are respectively equal to the sum and difference of two lines is equivalent to the difference of the squares of the two lines (484) : (AB + BC) (AB - BC) =~AB* - BC* 730. The square constructed on the hypotenuse... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...BC. This theorem is expressed algebraically, thus : (a - 6)2 = a2 - 2 ab + 62. 817 The rectangle of the sum and difference of two lines is equivalent to the difference of the squares on the lines. Let AB and AC be two lines. Construct the squares ABDE and ACFG. Prolong GF to K, making... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...BC. This theorem is expressed algebraically, thus : (a - 6)2 = a2 - 2 ab + 62. 817 The rectangle of the sum and difference of two lines is equivalent to the difference of the squares on the lines. Let AB and AC be two lines. Construct the squares ABDE and A CFG. Prolong GF to K, making... | |
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The rectangle contained by the sum and difference of two lines, is equivalent to the difference of the squares of those lines. 
