A connector piece for connecting breathing tubes of an anaesthetic breathing circuit to an endotracheal tube for use with a mammal. The connector piece having a gallery from which radiate first, second and third tube connectors. The first tube connector disposed between the second and third tube connectors. The first, second and third tube connectors having respective first, second and third longitudinal axes. The first and second tube connectors for connection to respective first and second the breathing tubes. The third tube connector for connection to the endotracheal tube. The third tube connector disposed at an obtuse angle to the first tube connector with the third longitudinal axis intersecting the first longitudinal axis within the gallery, and the second tube connector disposed at an acute angle to the first tube connector, with the second longitudinal axis intersecting said first longitudinal axis outside of the connector piece.