laryngotracheotomy

from The Collaborative International Dictionary of English v.0.48

laryngotracheotomy \la*ryn`go*tra`che*ot"o*my\, n. [Larynx +
   tracheotomy.] (Surg.)
   The operation of cutting into the larynx and the upper part
   of the trachea, -- a frequent operation for obstruction to
   breathing.
   [1913 Webster]