## Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method; of which the Principles Were Communicated in 1843 to the Royal Irish Academy; and which Has Since Formed the Subject of Successive Courses of Lectures, Delivered in 1848 and Subsequent Years, in the Halls of Trinity College, Dublin: with Numerous Illustrative Diagrams, and with Some Geometrical and Physical Applications, Volumes 2-4 |

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analogous analysis angle arcual associative principle axes axis binary products biradial bisected calculus called centre circle common conceived cone conical rotation conjugate connexion considered construction continued product coplanar corners cylinder denote differential direction ellipse ellipsoid equa equal equation example expression Faciend factors figure foregoing formula fourth proportional function Geocentric Vector geometrical Heliocentric imaginary inscribed interpretation Lecture length line of curvature locus multiplication namely negative neral nion notation operation opposite ordinary algebra parallel pentagon perpendicular polygon position present Profactor proposed Provector quadrant quadratic equation quadrilateral quater quaternion quotient radius recent reciprocal rectangular regarded relation represented respectively result REVECTOR right line rotation round scalar shew shewn significations space sphere spherical angles spherical polygons spherical triangle square subtraction successive sides supposed surface surface of revolution symbol tensor theorem tion transvector triplets Vectum Vehend versor write