In the old English book on timber framing a brace that goes from plate or upper timber to post is called a hanging brace.
A brace that goes from sill to post is called a standing brace.
A brace that goes from horizontal timber to horizontal timber, in a corner for example is called a lodging brace.
Examples of braces in a new MA barn:
This could be called a "hanging brace":

This could be called a "standing brace":

This could be called a "lodging brace":

This is truly a "knee brace":

Jim Rogers