Your mother's first cousin's child is your second cousin. To your children this person is a second cousin once removed.
Your child's children are your grandchildren. Your great uncle's children are your parent's first cousins and your first cousins, once removed. Your grandchildren and your great uncle's children are first cousins, three times removed.
Yes, the children of your cousins are also your cousins, but a different kind of cousin. The child of your first cousin is your first cousin, once removed. The child of your second cousin is your second cousin, once removed. The child of your first cousin, once removed, is your first cousin, twice removed. On the other hand, your child and the child of your first cousin are second cousins to each other. Your grandchild and the grandchild of your first cousin are third cousins to each other.
Because that is the way it works. Your cousin's child is your cousin once removed because you are separated by one generation while you and your cousin are of the same generation. Your cousin's child is not your neice or nephew because that relationship is reserved for the children of your brothers and sisters.
Your niece and your child are first cousins. Your niece's child and your child are first cousins, once removed. The children of your niece's child and of your child are second cousins to each other.
The children of your mother's first cousins are your second cousins. The children of your mother's second cousins are your third cousins. The children of your mother's third cousins are your fourth cousins. And so forth.
Your first cousin's child would be your second cousin
Your child and your sister's children are first cousins. Your grandchild and your sister's children are first cousins once removed.
Your first cousin and your grandchildren (your child's children) are first cousins once removed.
The children of your first cousins are your children's second cousins.The children of your second cousins are your children's third cousins,And so forth.
You are first cousin, once removed to the children of your great uncle.
The child of your father's first cousin would be your first cousin, once removed. Then when that person has a child, their child will be your first cousin, three times removed. A second cousin is the children of first cousins. For example, your child and your cousin's child are second cousins. Then their children will be second cousins, once removed to each other.
Your mother's first cousin is your first cousin, once removed. Your mother's second cousin is your second cousins, once removed. Your mother's third cousin is your third cousin, once removed. The potential relationships become more complex if your are talking about your mothers cousins once, twice or more removed.