窺知 （キチ） perception, understanding

管窺 （カンキ） narrow insight, narrow view

窺う （うかがう） to peep (through), to peek, to examine (esp. covertly), to await (one's chance), to guess, to infer, to gather, to surmise

覗く （のぞく） to peek (through a keyhole, gap, etc.), to look down into (a ravine, etc.), to peek into (a shop, bookstore, etc.), to sneak a look at, to take a quick look at, to peep (through a telescope, microscope, etc.), to stick out (a scarf from a collar, etc.), to peek through (sky through a forest canopy, etc.), to examine (an expression), to study (a face), to face