mid-15c., "sick bay in a monastery," formerly also enfermerie, also firmary, fermery, from Old French enfermerie "hospital" and directly from Medieval Latin infirmaria "a place for the infirm," from Latin infirmus "weak, frail," (see infirm). According to OED, the common name for a public hospital in 18c. England.
infinitesimal
infinitive
infinitude
infinity
infirm
infirmary
infirmity
inflame
inflammable
inflammation
inflammatory