By William R. Hamilton

Hamilton published the commencement of a paper entitled

which appeared in the Cambridge and Dublin Mathematical Journal, volume 4 (1849), pp. 161-168.Exercises in Quaternions.

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.

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D.R. Wilkins(

School of Mathematics

Trinity College, Dublin