with one-third for the mother and the remainder for the father. Divide the mother’s share among her heirs: a full sister, a paternal half-sister, and a maternal half-sister. The estate is calculated on a basis of six shares: the full sister receives one-half, or three shares; the paternal half-sister receives one-sixth, completing the two-thirds, or one share; and the maternal half-sister receives one-sixth, or one share. By return, it is reduced to five.

The father’s share, two-thirds, is divided among his heirs: a full sister, a paternal half-sister, and a maternal half-sister. The estate is calculated on a basis of six shares: the full sister receives one-half, or three shares; the paternal half-sister receives one-sixth, completing the two-thirds, or one share; and the maternal half-sister receives one-sixth, or one share. By return, it is reduced to five. Hence the author said:

“One-third goes to the maternal aunts in fifths, and two-thirds to the paternal aunts in fifths; the estate is correctly calculated on a basis of fifteen. In the case of three maternal uncles of differing types, the one related through the mother receives one-sixth, and the remainder goes to the one related through both parents, …”

His statement, “One-third goes to the maternal aunts in fifths, and two-thirds to the paternal aunts in fifths; the estate is correctly calculated on a basis of fifteen”: the rule is that when a group traces its connection through another group, divide the estate among those through whom they trace their connection, as though the deceased had died leaving them; then divide the share among those who trace their connection through them, as though those through whom they trace their connection had died leaving them. Thus, the estate is correctly calculated. This is because the inheritance of distant kindred is by representation, not by direct kinship.

His statement, “In the case of three maternal uncles of differing types”: one is the mother’s brother through her mother, the second is her brother through her father, and the third is her full brother.

His statement, “the one related through the mother receives one-sixth”: the maternal uncle related through the mother receives one-sixth.

His statement, “and the remainder goes to the one related through both parents”: for if the mother had died leaving them, the case would be as follows: a full brother, a paternal half-brother, and a maternal half-brother. The maternal half-brother receives one-sixth, the full brother receives the remainder, and the paternal half-brother receives nothing,