Full Overlay 

Doors completely cover the front of the cabinet, no face frame required. Uses cup hinges, which are hidden when a door is shut.

Partial Overlay

Un-notched doors that cover a portion of the face frame are called partial overlay.

Inset

Doors fit perfectly flush with the face frame. Typically used with butt hinges, but also works with cup, knife, and surface hinges.

Partial Inset 

Doors have a notch cut into the outside edge so that only a thin lip overlies the face frame. Often fitted with knife hinges, but can also use cup or surface hinges.

Hinges

Cup Hinge 

Knife Hinge 

Used with inset and partial inset doors.

Steeple-tip Hinge 

Made for inset doors.

Strap Hinge 

Looks like it came from a blacksmith’s forge. Works with inset doors.