make or work out a plan for; devise; They contrived to murder their boss; design a new sales strategy; plan an attack
come up with (an idea, plan, explanation, theory, or principle) after a mental effort; excogitate a way to measure the speed of light
[ Syn: invent , devise , excogitate , formulate , forge ]
put or send forth; She threw the flashlight beam into the corner; The setting sun threw long shadows; cast a spell; cast a warm light