Simpler version:
- If two people are of the same generation, then they’re:
First cousins if they have a grandparent in common,
second cousins if they have a great-grandparent in common,
third cousins if they have a great-great-grandparent in common,
etc.
2a) If they’re of different generations, the degree of cousinhood is figured in terms of the one who’s closer to the common ancestor.
If my grandfather is your great-great-great-…-grandfather, we’re first cousins, just with a bunch of removes.*
If my **great-**grandfather is your great-great-great-…-grandfather, we’re second cousins, with a bunch of removes.
If my **great-great-**grandfather is your great-great-great-…-grandfather, we’re third cousins, with a bunch of removes.
Etc.
2b) The number of removes is the difference in the number of generations from the common ancestor.
If my grandfather is your great-great-grandfather, the degree of cousinhood is first cousins per 2a, and since you’re two generations further down the family tree, you’re my first cousin, twice removed.
That’s it.
*As was recently mentioned in a thread around here (Deathpool, perhaps?), John Tyler (President of the U.S., 1841-1845) still has two living grandchildren. (He had some kids very late in life by a second marriage, then one of his youngest sons did the same.) But presumably some of the offspring of his oldest children had kids at a reasonably young age, and some of their older children did, etc., so we’d have people who would be the great-great-great-…-grandsons or -granddaughters of John Tyler, for a fairly large number of greats. Those folks would be the first cousins, N times removed, of John Tyler’s two living grandsons, with N being the number of greats.
Would be interesting to know how large N gets, among the currently living descendants of John Tyler.