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WordNet
falciform ligament

n. a ligament that attaches part of the liver to the diaphragm and the abdominal wall

Wikipedia
Falciform ligament

The falciform ligament is a ligament that attaches the liver to the anterior (ventral) body wall. It is a broad and thin antero-posterior peritoneal fold, falciform (Latin "sickle-shaped"), its base being directed downward and backward and its apex upward and backward. The falciform ligament droops down from the hilum of the liver.