## Elements of Quaternions, Volume 1 |

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### Common terms and phrases

abcd algebra angle anharmonic co-ordinates anharmonio arbitrary axis Barycentric Calculus Calculus centre circle co-initial coefficients collinear common comp Compare the Note complanar cone conic conjugate considered cubic curve curve denote diplanar direction ellipse ellipsoid equal expressions formula geometrical given plane given points Hamilton's Elements harmonic conjugate harmonic equations homology Ilnd imaginary intersections involution length line at infinity line oa linear equation locus mean point multiplication negative notation null vector oomp opposite perpendicular plane abc points p0 positive pyramids quinary symbols ratios reciprocal relative direction represented respectively revector right line right quaternions right quotient right versors roots scalar second construction sphere spherical spherical angle sub-art supposed surface tangent tangential equation tensor theorem three given three lines three points triangle abc vertex whereof whioh whole numbers write zero