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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.
Elements of Geometry Upon the Inductive Method: To which is Added an ... - Page 62
by James Hayward - 1829 - 172 pages

## Plane Geometry: A Complete Course in the Elements of the Science

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)...

## Elementary Geometry: Plane

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...

## Handbook of Mathematics for Engineers and Engineering Students

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...