collaterality

One can further distinguish cousins by degrees of collaterality and by generation.

Male collaterality: In the absence of male descendants in male line, the closest male collateral relative of the King is the heir.

Two persons of the same generation who share a grandparent count as "first cousins" (one degree of collaterality); if they share a great-grandparent they count as "second cousins" (two degrees of collaterality) and so on.