Hamilton published the commencement of a paper entitled
Exercises in Quaternions.which appeared in the Cambridge and Dublin Mathematical Journal, volume 4 (1849), pp. 161-168.
This paper is available in the following formats:
This short and elementary paper was intended to be the first installment of a longer expository paper, and covers only the basic properties of addition and subtraction of vectors, and multiplication of vectors by scalars, with their geometrical significations. No further installments were published.