 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...geometrically the algebraic formula K' ~H~~if (a + 6) 2 = a 2 + 2 06 +6 2 . 22. The square constructed upon the difference of two lines is equivalent to the sum of the squares constructed upon these two lines, diminished by twice their rectangle. Given the two lines AB and AC,... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...is equivalent to the sum of the squares described on the lines plus twice their rectangle. Ex. 889. The square described on the difference of two lines is equivalent to the sum of the squares described on the lines diminished by twice their rectangle. HINT. Let AB and CB be the given lines.... | |
 | George Albert Wentworth, George Wentworth - Geometry - 1912 - 602 pages
...rectangle DKHE = and rectangle BEFC = ^1 B x BC. §320 BC, by Ax. 9. QED 22. The square constructed upon the difference of two lines is equivalent to the sum of the squares constructed upon these two lines, diminished by twice their rectangle. „ „ Given the lines AB and... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...proves geometrically the algebraic formula (a -f 6)2 = a- + 2 ab + -62. 22. The square constructed upon the difference of two lines is equivalent to the sum of the squares constructed upon these two lines, diminished by twice their rectangle. Given the two lines AB and AC,... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...geometrically the algebraic formula (a + ft) 2 = a 2 + 2 at + 6 2 . ~H 4 22. The square constructed upon the difference of two lines is equivalent to the sum of the squares constructed upon these two lines, diminished by twice their rectangle. Given the two lines AB and AC,... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...rectangles formed as shown in the figure; give the construction and proof in detail. 28. The square formed on the difference of two lines is equivalent to the sum of the squares formed on each line, minus twice the rectangle formed by the two lines. Or, using a and b as the numerical... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...rectangles formed as shown in the figure; give the construction and proof in detail. 28. The square formed on the difference of two lines is equivalent to the sum of the squares formed on each line, minus twice the rectangle formed by the two lines. Or, using a and 6 as the numerical... | |
| |
From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines. 
