Explanation:

Bevel gears are a type of gear system that have conically-shaped teeth and are used to transmit power and motion between intersecting shafts. They are commonly used in applications where the direction of rotation needs to be changed, such as in automotive differentials and power tools.

Pressure angle:
The pressure angle is a key parameter in bevel gears that describes the angle between the line of action and the tangent to the pitch surface of the gear tooth. It determines the amount of force that is transmitted between the gears, as well as the efficiency and smoothness of the gear system. The pressure angle is an important design consideration and is typically specified based on the application requirements.

Face angle:
The face angle is not a commonly used terminology in respect to bevel gears. In fact, there is no specific definition or meaning associated with the term "face angle" in relation to bevel gears. Therefore, option 'B' is the correct answer as it is the odd terminology in this context.

Root angle:
The root angle is an important parameter in bevel gears that describes the angle between the tooth root and the pitch surface. It affects the strength and durability of the gear tooth, as well as the amount of contact area between the gears. The root angle is typically specified based on the application requirements and the desired gear tooth profile.

Core center:
The core center is not a commonly used terminology in respect to bevel gears. In fact, there is no specific definition or meaning associated with the term "core center" in relation to bevel gears. Therefore, option 'D' is not the odd terminology in this context.

In summary, the odd terminology in respect to bevel gears is the "face angle" (option 'B'). The other three terminologies - pressure angle, root angle, and core center - are all commonly used and important parameters in the design and analysis of bevel gears.