 | James Wallace MacDonald - Geometry - 1894 - 76 pages
...contained by the lines. SCHOLIUM. Compare (a — b)* = a" — 2 ab + b*. Proposition X. A Theorem. 245. The rectangle contained by the sum and difference of two lines is equal to the difference of their squares. SCHOLIUM. Compare (a + b) (a — b) = a1 — 63. Proposition... | |
 | George Irving Hopkins - 1891 - 210 pages
...upon the L'-vo lines, minus twice the rectangle formed by the two lines. 425. The rectangle formed by the sum and difference of two lines is equivalent to the difference of the squares upon the two lines. 426. The square described upon the hypothenuse of a right triangle is equivalent... | |
 | Education - 1891 - 740 pages
...circumference can be drawn through three points not in the same straight line. Demonstrate. 6. Show that the rectangle contained by the sum and difference of two lines is equal to the difference of their squares. 7. Find the area of a square inscribed in a circle whose... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...(i. Enunciata and prove either of the propositions of the second book bv which it ean lie shewn that the rectangle contained by the sum and difference of two lines is equal to the difference of the squares described upon them, and shew how the ali.ive result follows... | |
 | W. J. Johnston - Geometry, Analytic - 1893 - 448 pages
...the product of the lengths of its sides, and (2) (a + b) (a - b) = a2 - b2, we deduce the theorem : The rectangle contained by the sum and difference of two lines is equal to the difference of the squares on those lines. As another example let us solve this problem... | |
 | John Macnie - Geometry - 1895 - 386 pages
...SCHOLIUM. This result may be expressed algebraically thus : (rt ± b) 2= a2 ± 2 ab + b2. 337. COR. 2. The rectangle contained by the sum and difference...lines is equivalent to the difference of the squares of the lines. Let A and B be the lines. Then (A + B) . (A — B)=s= A (A — B) + B(A — B), =c= A2... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...BC be the given lines. 434. The rectangle whose sides are the sum and the difference of two straight lines is equivalent to the difference of the squares described upon the two lines. ABC Hint. — Let AB and SCbe the given lines. Question. — To what three formulas of algebra* do... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...BC be the given lines. 434. The rectangle whose sides are the sum and the difference of two straight lines is equivalent to the difference of the squares described upon the two lines. ABC Hint.— Let AB and £Cbe the given lines. Question. — To what three formulas of algebra* do... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...the sum of the squares described on the lines, diminished by twice the rectangle of the lines. 595. The rectangle contained by the sum and difference of two lines is equivalent to the difference of their squares. 596. If two fixed parallel tangents are cut by a variable tangent, the rectangle of... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...on the lines minus twice the rectangle on the lines. 313. THEOREM. The rectangle on the sum and the difference of two lines is equivalent to the difference of the squares on the lines. PROPOSITION III. THEOREM. 314. The square on the hypotenuse of a right triangle is equivalent... | |
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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. 
