Elements of Quaternions |
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Page iv
... Quaternion ; and on the Index of a Right Quotient , or Quaternion , . . 117-120 SECTION 6. - On the Reciprocal , Conjugate , Opposite , and • · · • 129-133 Norm of a Quaternion ; and on Null Quaternions , 120-129 SECTION 7. - On Radial ...
... Quaternion ; and on the Index of a Right Quotient , or Quaternion , . . 117-120 SECTION 6. - On the Reciprocal , Conjugate , Opposite , and • · · • 129-133 Norm of a Quaternion ; and on Null Quaternions , 120-129 SECTION 7. - On Radial ...
Page v
... Quaternion ; and on the Distributive Property of the Multiplication of Quaternions , Pages . 162-174 175-190 . 190-233 SECTION 14. - On the Reduction of the General Quaternion to a Standard Quadrinomial Form ; with a First Proof of the ...
... Quaternion ; and on the Distributive Property of the Multiplication of Quaternions , Pages . 162-174 175-190 . 190-233 SECTION 14. - On the Reduction of the General Quaternion to a Standard Quadrinomial Form ; with a First Proof of the ...
Page vi
... Quaternions ; and on the Existence of n Real Quaternion Roots , of any such Equation of the nth Degree , • SECTION 6. On the n2n Imaginary ( or Symbolical ) Roots of a Quaternion Equation of the nth Degree , with Coefficients of the ...
... Quaternions ; and on the Existence of n Real Quaternion Roots , of any such Equation of the nth Degree , • SECTION 6. On the n2n Imaginary ( or Symbolical ) Roots of a Quaternion Equation of the nth Degree , with Coefficients of the ...
Page vii
... QUATERNION , .. • The first six Sections of this Chapter ought to be read , even in a first perusal of the work . · SECTION 1. - On a First Method of Interpreting a Product of Two Vectors as a Quaternion , SECTION 2. - On some ...
... QUATERNION , .. • The first six Sections of this Chapter ought to be read , even in a first perusal of the work . · SECTION 1. - On a First Method of Interpreting a Product of Two Vectors as a Quaternion , SECTION 2. - On some ...
Page viii
... Quaternion . SECTION 6. - On the Interpretation of a Product of Three or more Vectors as a Quaternion , • Pages . . 316-330 This interpretation is effected by the substitution , as in recent Sections , of Right Quaternions for Vectors ...
... Quaternion . SECTION 6. - On the Interpretation of a Product of Three or more Vectors as a Quaternion , • Pages . . 316-330 This interpretation is effected by the substitution , as in recent Sections , of Right Quaternions for Vectors ...
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Common terms and phrases
ABCD algebra angle anharmonic axis centre CHAP circle coefficients collinear comp Compare the Note complanar cone conic conjugate considered construction curvature curve cyclic deduced denote derived differential diplanar direction ellipsoid equal equation expression formula four fourth proportional function geometrical given plane given points harmonic conjugate imaginary interpreted intersection length line oa linear locus multiplication negative notation osculating osculating circle osculating plane P₁ parallelogram perpendicular positive quadratic quadrilateral quinary radius reciprocal relative direction represented right line right quaternions right quotient right versors roots rotation round scalar SECTION sides sphere spherical spherical angle sub-articles supposed surface symbol tangent tensor ternion theorem tion triangle ABC twisted cubic variable vector VIII whence whereof write