Fetching details from the dictionary...

to be anxious (about); to be concerned (about); to worry (about); to fear
to think out (e.g. a plan); to work out; to devise; to consider; to ponder
to investigate
to stroke; to rub; to pat; to grasp (the hilt of one's sword)
両親は子供の将来を案じて心配しているようだ。
The mother is worried about her son's health.
解決策を案じていますが思いつきません。
I'm trying to devise a solution but can't think of one.
よく案じてから決断してください。
Please decide after careful consideration.