Thus, when more than one person dies after the first deceased, and the heirs of each deceased inherit no one but him, the procedure is as follows:

Resolve the first case and determine each heir’s share. Then resolve the case of each subsequent deceased and divide his shares from the first case by it. The result will either divide evenly, be relatively prime, or share a common factor. Then resolve the third case and divide the shares by it; again, the numbers will either share a common factor, be relatively prime, or divide evenly—and so on. Next, combine the cases of the later deceased persons and compare them according to the four numerical relationships: common factor, relative primeness, equality, and inclusion. Where they are equal, one of them suffices; where they share a common factor, reduce one of them by the factor it shares with the other; where one is included in the other, the larger one suffices; and where they are relatively prime, multiply each by the other.

For example, two and four have a relationship of inclusion, so four alone suffices. Four and six share a common factor of one-half, since six has a half and four has a half. Three and three are equal, while three and four are relatively prime. Then multiply the result obtained by comparing them through the four numerical relationships. This is called the share-factor in the case of the first deceased. Whatever total results is the comprehensive basis of the estate. Then multiply the share-factor by each person’s share in the first case. Whoever is alive receives his share; and for whoever has died, divide the resulting amount by his own case. The result is its share-factor, by which the share of each of its heirs is multiplied.

His statement: “If they do not inherit from the second deceased in the same way as from the first, resolve the first case and divide the second deceased’s shares among his heirs. If they divide evenly, the case is resolved on its original basis”—if