Byzantine,
The terms Chris is talking about stem back to WWI when the first warplanes were being pressed into service. In line refers to being arranged in such a way that it allows the angine to "cut" through the air. The inline engines come in various subtypes like you describe, but eventually it comes down to the overall form of the engine and its cowl.
In-line examples come to more of a point, often, and are somewhat rectangular in design whereas radial can be seen because of the round or oval opening in the cowl that is anything BUT aerodynamic.