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The proper hepatic artery supplies oxygenated blood to the liver. Follow this artery superiorly as it divides into the right hepatic artery and the left hepatic artery. Now, trace the proper hepatic artery inferiorly to its origin from the common hepatic artery. The common hepatic artery is one of three major branches of the celiac trunk. Follow the common hepatic artery distally and identify the gastroduodenal artery. This artery passes inferiorly , posterior to the first part of the duodenum. Reflect the stomach superiorly and follow the gastroduodenal artery to its terminal branches, the right gastroepiploic artery and superior pancreaticoduodenal artery.

Links and References:
Grant's: 2.40, 2.50
Netter: 282, 284
Rohen/Yokochi: 295, 296