naginjati

1. (naginjati se) to lean; to bend over; to lean out
   Ne naginjati se kroz prozor! — Do not lean out of the window!
   Stalno se naginjala preko ograde. — She kept leaning over the railing.
2. (+ acc.) to tilt; to incline
   Kad sluša, uvek naginje glavu u stranu. — When he listens, he always tilts his head to one side.
3. (+ dat. or ka) to lean toward; to tend to
   Više naginjem ka tome da ostanem kod kuće. — I'm leaning more toward staying home.
   Njen otac je oduvek naginjao levici. — Her father has always leaned to the left.

The perfective is nagnuti; in the sense "lean toward" it takes the dative or ka.