-ancestor" and "proper
-ancestor" are always both transitive. But it is only under certain circumstances that it will be an aliorelative or connected. Consider, for example, the relation to one's left-hand neighbour at a round dinner-table at which there are twelve people. If we call this relation
, the proper
-posterity of a person consists of all who can be reached by going round the table from right to left. This includes everybody at the table, including the person himself, since twelve steps bring us back to our starting-point. Thus in such a case, though the relation "proper
-ancestor" is connected, and though