## Elements of Quaternions |

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### Contents

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### Common terms and phrases

abcd algebra angle anharmonic arbitrary axis Calculus centre CHAP chord coefficients collinear common comp Compare the Note complanar conceive cone conic conjugate considered constant construction cubic cubic equation curvature cyclic cylinder deduced denote derived developable surface differential diplanar direction ellipsoid equa equal expression formula four function geometrical given curve given plane given point harmonic conjugate harmonic equations imaginary interpreted intersection length line OA linear locus multiplication negative normal notation osculating circle osculating plane perpendicular positive quadratic equation quadrilateral quinary radius reciprocal rectangular relative direction represented respect right line right quaternions right quotient roots rotation round satisfied scalar Section sides sphere spherical spherical angle sub-articles supposed surface symbol tangent tensor ternion theorem tion transformations triangle abc twisted cubic variable vector vertex VIII whence whereof write zero