adv. phr. [L. ad to, infīnītum infinity, prop. neut. of adj. infīnītus endless.] Without limit, endlessly, for ever.
1678. Bunyan, Pilgr., Apol. 17. Ill put you by your selves, lest you at last Should prove ad infinitum.
1733. Swift, On Poetry, Wks. 1755, IV. I. 194. A flea Hath smaller fleas that on him prey, And these have smaller still to bite em, And so proceed ad infinitum.
1856. Emerson, Eng. Traits, xvi. The rule of art is that a colonnade is more beautiful the longer it is, and that ad infinitum.
1860. Adler, Provenç. Poet., iii. 48. The character of their execution varied ad infinitum.