Temporary hardness of water is primarily due to the presence of bicarbonates of calcium and magnesium. 
Boiling removes temporary hardness by decomposing bicarbonates into carbonates which precipitate out. 
Clark's method involves the addition of lime (Ca(OH)\(_2\)) which reacts with bicarbonates to form insoluble carbonates. 
Calgon method, on the other hand, is used to remove permanent hardness, not temporary hardness.