1. a walking about, walking , (Plato Philosophus), etc.

2. a place for walking, a covered walk , (Xenophon Historicus)

3. discourse during a walk, a philosophical discussion , (Aristophanes Comicus)

4. οἱ ἐκ τοῦ περιπάτου the Peripatetics, school of Aristotle , because he taught walking in a περίπατος of the Lyceum at Athens, (Plutarch), etc. (ML)