Tom Brady appeared to react to Gisele Bündchen's recent divorce comments by sharing a mysterious quote from a famed American poet on social media -- one that referenced dealing with "the betrayal of false friends."

Brady posted a Ralph Waldo Emerson passage on his IG story Thursday morning ... some 24 hours after Gisele's comments to Vanity Fair about their breakup dropped.

The post was all about the definition of success ... and in a part of it, it said in order to win at life, ya gotta "endure the betrayal of false friends."