late 15c., “interior, inward, internal,” from Old French intrinsèque “inner” (14c.), from Medieval Latin intrinsecus “interior, internal,” from Latin intrinsecus (adv.) “inwardly, on the inside,” from intra “within” (see intra-) + secus “along, alongside,” from PIE *sekw-os- “following,” suffixed form of root *sekw- (1) “to follow.”