ADVERTISEMENT TO THE SECOND EDITION.
1 HAVii reserved for the Appendix to this Volume the longer additional and illustrative notes which I have written for the new edition of the " Eieuent3."
Some of those notes would have been inconveniently long as footnotes; others would have been inconveniently placed. Tor example, although the Note on Screws relates naturally to Art. 416 and that on the Kinematical Treatment of Curves to Art. 396, I havo placed the Note on Screws before the Note on Curves because Hamilton's remarks on screw motion in the earlier Article required some development in order to make the Note on Curves easily intelligible. Accordingly the order of the notes has been arranged with reference to the notes themselves rather than with reference to the text. The selection and treatment of the subjects of these notes have been subordinated to tho illustration of quaternion methods. I have not hesitated to sacrifice brevity for suggestive-ness, and above all I have tried
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Sir William Rowan Hamilton (1805-65) was a distinguished Irish mathematician who worked in the fields of classical mechanics, optics and algebra, as well as in physics and astronomy. He first described quaternions in 1843, and devoted much of his subsequent life to studying and lecturing on the concept.
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