Page:The Algebra of Mohammed Ben Musa (1831).djvu/159

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namely, one hundred and twenty. This is the legacy (to the slave,) and the ransom is one hundred and eighty.

“Some person on his sick-bed has emancipated a slave, whose price is three hundred dirhems; the slave then dies, leaving four hundred dirhems and ten dirhems of debt, and two daughters, and bequeathing to a person one-third of his capital; the master has twenty dirhems debts.” The computation of this case is the following:[1] Call the legacy to the slave thing; his ransom is the remainder of his price, namely, three hundred less thing. But the slave, when dying, left four hundred dirhems; and out of this sum, his ransom, namely, three hundred less thing, is paid to the


  1. Let the slave’s original cost=; the property he dies possessed of=; the debt he owes =
    He leaves two daughters, and bequeaths to a stranger one-third of his capital.
    The master owes debts to the amount ; where .
    Let what the master gives to the slave, in emancipating him .
    Slave’s ransom=; slave’s property—slave’s ransom=
    Slave’s property—ransom—debt=
    Legacy to stranger
    Residue ...............

    The master, and each daughter, are, by law, severally entitled to
    The master’s heirs receive altogether or , which, on the principle that