and a maternal grandfather and the daughter of a paternal uncle, we assign them to their corresponding positions. Thus, the maternal uncle, maternal aunt, and maternal grandfather take the position of the mother, while the daughter of the paternal uncle takes the position of the paternal uncle. It is therefore as though he died leaving a mother and a paternal uncle. The mother’s share—one-third—belongs to those through whom they trace their connection to her: namely, her father, brother, and sister. If she had died leaving these relatives, her father would have inherited from her. Thus, the maternal grandfather receives one-third, while the daughter of the paternal uncle receives the remainder, because she traces her connection through the paternal uncle.
His statement, “Paternal aunts and a paternal uncle related through the mother are like the father”: paternal aunts are the father’s sisters, and a paternal uncle related through the mother is the father’s maternal half-brother. They take the position of the father.
His statement, “Every grandmother who traces her connection through a father situated between two mothers, one of whom is herself—such as the mother of the mother’s father”: an example is the mother of the maternal grandfather. She is among the distant kindred, because the one through whom she traces her connection—the maternal grandfather—is among the distant kindred and is not an heir, since a female lies between him and the deceased. Whoever traces his or her connection through distant kindred is likewise among the distant kindred.
His statement, “or through a father above the grandfather, such as the mother of the grandfather’s father”: if a grandmother traces her connection through a father above the grandfather, she is among the distant kindred. Thus, the father’s mother, however far she ascends through mothers, is an heir; and the grandfather’s mother, however far she ascends through mothers, is an heir. But the mother of the grandfather’s father is not an heir, according to the author, because he says, “through a father above the grandfather”; thus, she is among the distant kindred.
We have previously explained that the correct view is that she is an heir, and that every grandmother who traces her connection through an heir is herself an heir, whereas every grandmother who traces her connection through a non-heir is not an heir. Therefore, the mother of the grandfather’s father is an heir, for what difference is there between the mother of the mother of the grandfather’s father and the mother of the grandfather? There is no difference! Both trace their connection through an heir. We must therefore say: everyone who traces her connection through an heir is an heir.