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- 1up accessDate "2016-01-17".
- 1up authorLink "William Rowan Hamilton".
- 1up chapter "II. Fractional powers, General roots of unity".
- 1up date "1866-01-01".
- 1up edition "1".
- 1up editorFirst "William Edwin".
- 1up editorLast "Hamilton".
- 1up first "William Rowan".
- 1up isCitedBy Cis_(mathematics).
- 1up last "Hamilton".
- 1up location "Dublin".
- 1up others "University Press, Michael Henry Gill, Dublin".
- 1up pages "250–257, 260, 262–263".
- 1up publicationPlace "London, UK".
- 1up publisher Longmans,_Green_&_Co..
- 1up quote "([…] cos […] + i sin […] we shall occasionally abridge to the following: […] cis […]. As to the marks […], they are to be considered as chiefly available for the present exposition of the system, and as not often wanted, nor employed, in the subsequent practise thereof; and the same remark applies to the recent abrigdement cis, for cos + i sin […])".
- 1up title "Elements of Quaternions".
- 1up url 1up.