Page:The Algebra of Mohammed Ben Musa (1831).djvu/141

From Wikisource
Jump to navigation Jump to search
This page has been proofread, but needs to be validated.

( 125 )

capital, equal to eight shares and three-fifths, plus two dirhems and seven twentieths. Complete your capital, by adding to that which you have fifty-nine one-hundred-and-eighty-one parts. Let, then, a share be three hundred and sixty-two, and a dirhem likewise three hundred and sixty-two.[1] The whole capital is then five thousand two hundred and fifty-six, and the legacy out of one-fourth[2] is one thousand two hundred and four, and that out of one-third is four hundred and ninety-nine, and the one-eighth is six hundred and fifty-seven.


On Completement.

“A woman dies and leaves eight daughters, a mother (93), and her husband, and bequeaths to some person as much as must be added to the share of a daughter to make it equal to one-fifth of the capital; and to another person as much as must be added to the share of the mother to make it equal to one-fourth of


  1. The capital=
    If we assume , and , the capital
    Then ; ; ; th of capital .
  2. The text ought to stand “the two first legacies are” instead of “the legacy out of one-fourth is.”
    The first legacy is ........... 724
    The second .................... 480
    ∴ the first + second legacy = 1204