Branches of the dorsal Aorta (down the diaphragm) and the caudal vena cava
The first branch of the dorsla aorta is the coeliac artery carries blood to the stomach adn the spleen, next branch is the cranial mesenteric artery that carries blood to the small intestine, followed by the renal arteries leading to the kidneys. It then send branches to the hind legs (the external iliac arteries) and the the placenta (umbilical arteries). The external iliac artery divides into the femoral artery and the deep femoral artery.
From the caudal vena cava, the renal veins carries blood from the kidneys, the common iliac veins carry blood from the hind legs and the hepatic veins carry blood from the liver to the caudal vena cava.