Cousin
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An example of the use of this table would be to find myself ("self"), go diagonally up to my greatgreatgrandparents, and straight down to their child, grandchild, & then greatgrandchild. This person is my 2nd cousin, once removed.




GreatGreatGrandparents 



Great Grandparents  GreatGrand Uncles/Aunts 


Grandparents  Grand Uncles/Aunts  1st Cousin Twice Removed 

Parents  Aunts/Uncles  1st Cousins Once Removed  2nd Cousins Once Removed 
Self  Brothers/Sisters  1st Cousins  2nd Cousins  3rd Cousins 
Children  Nephews/Nieces  1st Cousins Once Removed  2nd Cousins Once Removed  3rd Cousins Once Removed 
Grand Children  Grand Nephews/Nieces  1st Cousins Twice Removed  2nd Cousins Twice Removed  3rd Cousins Twice Removed 
GreatGrand Children  GreatGrand Nephews/Nieces  1st Cousins Thrice Removed  2nd Cousins Thrice Removed  3rd Cousins Thrice Removed 
2nd GreatGrand Children  2nd GreatGrand Nephews/Nieces  1st Cousins 4x Removed  2nd Cousins 4x Removed  3rd Cousins 4x Removed 
To figure out the relationship of a cousin without the table, you need to count the number of generations to the common ancestor for both yourself and the individual in question.
Looking at the two numbers:
 If one of the numbers is zero, then the relationship is one of a direct line relative.
 If one of the numbers is one, then the relationship is one of a sibling or niece/nephew (or aunt/uncle depending which way you are looking at it), etc.
 Otherwise, the smaller of the two numbers will give you the 1st, 2nd, 3rd, etc. cousin after subtracting one.
For example, if I count four generations between myself and the common ancestor AND three generations between the other relative and the same common ancestor, I take the smaller of the two numbers and subtract one giving two, so they are a second cousin with some number removed.
To figure how much removed, I take the larger of the two numbers (3) and subtract the smaller of the two numbers (2) giving 1, so they are once removed.
Another confusing thing is the use of grand and great. Although some use the terms synonymously, they have a predefined definition. When you talking about mother, aunt, niece, etc. and then adding one more generation, the most correct reference is adding grand (grandmother, grandaunt, grandniece, etc.). Adding one more generation adds a great in front of it (greatgrandmother). Another generation adds another great (2nd greatgrandmother) . . . and so on.