Final answer:
According to the Gospels, Jesus sat down by the well in an encounter with a Samaritan woman.
Step-by-step explanation:
The question asks about the event when Jesus sat down by the well, which is described in John 4:6 of the New Testament, stating it occurred around noon. This event is often depicted in historical texts and religious studies, though the provided excerpts do not contain a direct answer to when Jesus sat down by the well. The account of this event can be found in the Gospel according to John, specifically John 4:6, where it states that Jesus, tired from his journey, sat down by the well around noon.