 | George Irving Hopkins - Geometry, Plane - 1891 - 208 pages
...to the sum of the squares upon the two lines, plus twice the rectangle formed by the two lines. 424. The square described on the difference of two lines is equivalent to the sum of the squares upon the two lines, minus twice the rectangle formed by the two lines. 425. The rectangle formed by... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...to the sum of the squares on the lines plus twice the rectangle on the lines. 312. COR. The square on the difference of two lines is equivalent to the sum of the squares on the lines minus twice the rectangle on the lines. 313. THEOREM. The rectangle on the sum and the... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...theorem corresponds to the algebraic formula Proposition 17O. Theorem. 206. The square constructed on the difference of two lines is equivalent to the sum of the squares constructed on the two lines, diminished by twice the rectangle contained by the lines. Hh HINT. The... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...combined areas of the other squares minus double the area of the rectangle ? Theorem. The square upon the difference of two lines is equivalent to the sum of the squares upon the lines minus twice the rectangle formed by the lines. Data: Any two lines, as AC and BC, and... | |
 | William James Milne - Geometry - 1899 - 398 pages
...combined areas of the other squares minus double the area of the rectangle ? Theorem. The square upon the difference of two lines is equivalent to the sum of the squares upon the lines minus twice the rectangle formed by the lines. E Data : Any two lines, as AC and BC,... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...the four figures AH, BI, GE, and HF are all squares. PLANE GEOMETRY.— BOOK IV. PROPOSITION IX. — THEOREM. The square described on the difference of two lines is equivalent to the sum of the squares described on the lines, diminished by twice the rectangle of the lines. Given. — Let AC and BC be... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...lines is equivalent to the sum of the squares of the lines increased by twice their rectangle. 18. The square described on the difference of two lines is equivalent to the sum of the squares of the lines diminished by twice their rectangle. 19. The rectangle having for its sides the sum and the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...illustrates geometrically the algebraic formula, PROPOSITION IX. THEOREM 357. The square constructed on the difference of two lines is equivalent to the sum of the two squares constructed on these lines, diminished by twice the rectangle of these lines. HINT.—Demonstrate... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...the algebraic formula, (a + Hf = a2 + 2 ah + b\ PROPOSITION IX. THEOREM 357. The square constructed on the difference of two lines is equivalent to the sum of the two squares constructed on these lines, diminished by twice the rectangle of these lines. HINT. —... | |
 | Arthur Schultze - 1901 - 260 pages
...twice the rectangle contained by AB and BC. QED PROPOSITION IX. THEOREM 357. The square constructed on the difference of two lines is equivalent to the sum of the two squares constructed on these lines, diminished by twice the rectangle of these lines. HINT.—Demonstrate... | |
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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. 
