THESAURUS
hit upon
alight upon, arrive at, arrive upon, blunder upon, bump into, chance upon, come across, come at, come down on, come on, come up against, come upon, descend upon, discover serendipitously, drop on, encounter, fall in with, fall on, fall upon, get at, happen upon, light upon, meet up with, meet with, pitch upon, reach, run across, run into, run up against, settle on, strike upon, stumble on, stumble upon, tumble on
ROGET THESAURUS
hit upon
Plan
VB
plan, scheme, design, frame, contrive, project, forecast, sketch, devise, invent, set one's wits to work, spring a project, fall upon,
hit upon, strike out, chalk out, cut out, lay out, map out, lay down a plan, shape out a course, mark out a course, predetermine, concert, preconcert, preestablish, prepare, hatch, hatch a plot concoct, take steps, take measures, cast, recast, systematize, organize, arrange, digest, mature, plot, counter-plot, counter-mine, dig a mine, lay a train, intrigue.
Discovery
VB
discover, find, determine, evolve, learn, fix upon, pick up, find out, trace out, make out, hunt out, fish out, worm out, ferret out, root out, fathom, bring out, draw out, educe, elicit, bring to light, dig out, grub up, fish up, unearth, disinter, solve, resolve, elucidate, unriddle, unravel, unlock, crack, crack open, pick up, open the lock, find a clue, find clew a to, find the key to the riddle, interpret, disclose, trace, get at, hit it, have it, lay one's finger, lay one's hands upon, spot, get at the truth, arrive at the truth, put the saddle on the right horse, hit the right nail on the head, be near the truth, be warm, get warmer, burn, smoke, scent, sniff, catch a whiff of, smell a rat, open the eyes to, see through, see daylight, see in its true colors, see the cloven foot, detect, catch, catch tripping, pitch upon, fall upon, light upon,
hit upon, stumble upon, pop upon, come across, come onto, meet with, meet up with, fall in with, recognize, realize, verify, make certain of, identify, Int, eureka!, aha!, I've got it!.