  Blood vessels which carry blood back to the heart from the rest of the body are called veins.   The main vein is the vena cava, which carries deoxygenated blood to th … e right atrium. The pulmonary vein carries oxygenated blood from the lungs to the left atrium.  The arteries are blood vessels which carry blood away from the heart. The main artery is the aorta, which carries oxygenated blood from the heart to the rest of the body.The pulmonary artery carries deoxygenated blood from the right ventricle to the lungs.25 people found this useful. The arteries are blood vessels which carry blood away from the heart. The main artery is the aorta, which carries oxygenated blood from the heart to the rest of the body. The pulmonary artery carries deoxygenated blood from the right ventricle to the lungs. 25 people found this useful.