## Elements of Quaternions, Volume 2 |

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angle arbitrary auxiliary axes axis centre chord coefficients common comp condition cone confocal conjugate const constant corresponding cubic surface curve in space cusp-edge cyclic cylinder deduced denote derived developable surface differential equation direction ellipse ellipsoid expression formula generatrix geodetic geometrical given curve given point given surface helix hodograph hyperbola hyperboloid initial vectors integral intersection linear lines of curvature locus normal plane osculating circle osculating plane osculating sphere parallel perpendicular quadric quadric cone quaternions radius radius of curvature real or imaginary reciprocal rectangular rectifying line represents respect result right line rotation satisfied scalar equations scalar variable second curvature second order self-conjugate semiaxes semidiameter spherical sub-articles supposed tangent plane theorem transformation twisted cubic umbilicar variable vector vector equation vector function velocity vertex VIII whence whereof whioh write XVII XVIII XXIII XXVII