## Elements of Quaternions |

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abcd algebra angle anharmonic arbitrary axis called centre chord co-ordinates coefficients common comp Compare the Note complanar conceived condition cone confocal conic conjugate considered constant construction corresponding cubic cubic equation cyclic cylinder deduced denote derived developable surface diplanar direction ellipsoid equa equal expression formula four function geodetic geometrical given curve given plane given point harmonic conjugate hodograph hyperbola imaginary intersection length line OA linear lines of curvature locus multiplied negative notation osculating circle osculating plane parallel perpendicular positive quadric quadric cone quaternion quinary quotient radius reciprocal rectangular represents respect result right line right quotient roots satisfied scalar scalar equations scalar variable second order Section sides spherical sub-articles supposed surface symbol tangent plane tensor ternion theorem tion transformation twisted cubic versor vertex VIII whence whereof write