A polishing method usable in an apparatus including a rotatable member rotatable about a first axis, at least one substrate head assembly supported on said rotatable member, and at least two polishing surfaces arranged below said rotatable member at respective angular positions about said first axis is described. In one implementation, a substrate can be mounted onto a first one of said at least one substrate head assembly. The rotatable member can be rotated to a position so that the substrate overlies a selected one of the polishing surfaces. The substrate can be engaged with said selected polishing surface and relative linear movement imparted between the selected polishing surface and the first substrate head assembly, while the substrate is engaged with the selected polishing surface.