Thanks,
Scott
You and your first cousin have the same grandparents. Your first
cousin's child is your "first cousin, once removed," 1 generation
removed from you. Your grandparents are this child's great-grandparents.
Your first cousin's child and your child are second cousins. These two
have the same great-grandparents, different grandparents.
Your first cousin's grandchild is your "first cousin, twice removed," 2
generations removed from you. Your grandparents are this child's
great-great-grandparents.
Your first cousin's grandchild and your grandchild are third cousins.
They have the same great-great-grandparents, different
great-grandparents, different grandparents.
And so on