From ISOGG Wiki
The patriline is a term used in genetic genealogy to describe the line of descent through the all-male line. It is also sometimes referred to as the agnatic line.
The patrilineal line corresponds with the path of transmission of the Y chromosome. The patrilineal line generally also corresponds with the transmission of surnames. If a non-paternity event has occurred the genealogical patriline will not be the same as the genetic patriline.
In contrast the term paternal line strictly speaking refers to any line of descent on the father's side of the family.
The term matriline refers to the all-female line of descent through the matrilineal line.