Possibly the first non-Biblical use, and the first to show full family relationships rather than a purely patrilineal scheme, was that involving family trees of the classical gods in Boccaccio's Genealogia deorum gentilium ("On the Genealogy of the Gods of the Gentiles"), whose first version dates to 1360.
One technique is a "fan chart", which features a half circle chart with concentric rings: the person of interest is the inner circle, the second circle is divided in two (each side is one parent), the third circle is divided in four, and so forth. While family trees are depicted as trees, family relations do not in general form a tree in the sense of graph theory, since distant relatives can mate, so a person can have a common ancestor on their mother's and father's side.
An ancestry chart, which is a tree showing the ancestors of an individual, will more closely resemble a tree in shape, being wider at the top than the bottom.
In some ancestry charts, an individual appears on the left and his or her ancestors appear to the right.
A descendancy chart, which depicts all the descendants of an individual will be narrowest at the top. One might encompass all direct descendants of a single figure, or all known ancestors of a living person.