among those who remain alive.

If the heirs of each deceased do not themselves inherit from anyone else (1)—such as brothers whose heirs are their own sons—first correct the calculation for the initial estate; then divide the allotted share of every deceased person according to the particulars of his own case. Treat the correction just as you would a broken share that must be distributed among several groups. Should that prove impossible, adjust the first estate and apportion the shares of the second according to its own calculation; if the division is even, both sets of figures stand validated by the first. Otherwise, multiply the whole of the second base, or its common denominator, by the shares that appear in the first.

Whoever holds a portion in the first estate, multiply that portion by the factor you have just applied to it, and whoever holds a portion (2) from (3) the second estate should have his portion multiplied by the shares of the second, or by its common denominator; apply the same procedure (4) for a third estate and any beyond.

Chapter on Uterine Relatives (Dhawu al-Arhām)

These relatives inherit by being placed in the position of the one through whom they are related, males and females alike (5).

Thus the child of a daughter (6), the child of a son’s daughter, and the child of a sister all take the share of their mothers; while the daughters of brothers, the daughters of their sons, and the child of a maternal half-brother (7) take the share of their fathers.