If your cousin had a child, what would their relationship to you be?

Your cousin's child would be your first cousin once removed.

OK, I'm feeling a bit dumb here for I don't get what is meant by first cousin once removed.

I've always been taught or known of my parents' siblings' children to be my first cousins, hence, making any children my first cousins may have my second cousins. Could someone enlighten me on this or what is meant by first cousin once removed? Now I'm confused about this.

Children of your aunts and uncles are your first cousins. Children of your first cousins are your first cousins once removed, meaning they are one generation distant from you.

Children of your first cousins are second cousins to your children.

https://en.wikipedia.org/wiki/Cousin#Basic_definitions

First cousins share a grandparent.

Second cousins share a great grandparent.

First cousin once removed share a common ancestor who is one's grandparent but the other's great grandparent (such as your cousin's son).

The general trick to remember is, cousins are all of the same generation. When the next generation comes around you start using the "removed" bit. First cousins indeed share a grandparent. For every generation back the common ancestor goes, you add another digit to the "n" in "nth cousins".

Well, another thing to remember is that most people do not know who their third or fourth cousins are, let alone any more distant relations than that. My father's family tree has some 350 names on it going back at least six generations.

When the word "removed" is used to describe a relationship, it indicates that the two people are from different generations. You and your first cousins are in the same generation (two generations younger than your grandparents), so the word "removed" is not used to describe your relationship.

The words "once removed" mean that there is a difference of one generation. For example, your mother's first cousin is your first cousin, once removed. This is because your mother's first cousin is one generation younger than your grandparents and you are two generations younger than your grandparents. This one-generation difference equals "once removed."

Twice removed means that there is a two-generation difference. You are two generations younger than a first cousin of your grandmother, so you and your grandmother's first cousin are first cousins, twice removed.

http://genealogy.com/genealogy/16_cousn.html

It's a matter of generational differences.

Let's start with first cousins:

The first cousin of your parent is your first-cousin once-removed. That is, the child of your mother's or father's aunt or uncle is your mother's or father's first cousin -- right? And that same child is your first-cousin-once-removed. By the same token, the child of YOUR first cousin is also your first-cousin once-removed.

So: the child of your first-cousin-once-removed is your first-cousin-twice-removed. All this has to do with steps in families -- with different generations and their relationships with one another.

So, who is your second cousin? He or she usually belongs to your generation and the two of you are the offspring of people who are first cousins.

That is: Jane and Sue are first cousins (their mothers are sisters.)

Jane has a daughter named Ann. Sue has a daughter named Lee.

Ann and Lee are second cousins. BUT Ann is Sue's first-cousin-once-removed, and Lee is Jane's first- cousin-once-removed.

And if Ann has a daughter, that child will be Sue's second-cousin-once-removed --

and so on ....

Here's a cool little chart on the subject.

http://www.obliquity.com/family/misc/cousin.html