Atherosclerosis- A disease of the arteries characterized by the deposition of fatty material on their inner walls.

Arteriosclerosis- The 
thickening and hardening of the walls of the arteries, occurring typically in old age.
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Both terms are frequently used as same condition. Both conditions are related to coronary artery diseases.
Arteriosclerosis: It is the condition of thickening, hardening, and loss of elasticity of the walls of the arteries.

Atherosclerosis : It is an artery wall thickness (hardening ), and caused by plaque building up in the vessel. Plaque causes thickening of the walls of the artery. Stiffness and a loss of elasticity also the result.