Final answer:
The three-phase connection where line voltage equals phase voltage is a Delta connection, which forms a closed triangle-like path and does not utilize a neutral wire.
Step-by-step explanation:
The type of three-phase connection where the line voltage equals the phase voltage is known as a Delta (Δ) connection. In a Delta connection, each phase is connected in a loop, forming a closed triangle-like path. This contrasts with a Star (Y) connection, where one end of each phase coil is connected to a common point (the neutral). In the Delta configuration, the lines are connected directly to the phase windings of the transformer, and there are no neutral wires. The Delta connection is often used when a neutral is not needed for the loads or when high starting torques for motors are required.