log·gia /ˈlɒdʒə, ˈloʊdʒiə; It. ˈlɔddʒɑ/

–noun, plural -gias, Italian -gie  /-dʒɛ/
1. a gallery or arcade open to the air on at least one side.
2. a space within the body of a building but open to the air on one side, serving as an open-air room or as an entrance porch.

1735–45; < It; see lodge

Source: Dictionary.com.

At rest upon the ground, Vermoulian’s wonderful peregrine palace, together with its loggias, formal gardens and entrance pavilion, occupied an octagonal site some three acres in extent.

Source: Tales of the Dying Earth by Jack Vance.