Elements of Quaternions |
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Page iv
... Conjugate , Opposite , and • · · • 129-133 Norm of a Quaternion ; and on Null Quaternions , 120-129 SECTION 7. - On Radial Quotients ; and on the Square of a Quaternion , . SECTION 8. - On the Versor of a Quaternion , or of a Vec- tor ...
... Conjugate , Opposite , and • · · • 129-133 Norm of a Quaternion ; and on Null Quaternions , 120-129 SECTION 7. - On Radial Quotients ; and on the Square of a Quaternion , . SECTION 8. - On the Versor of a Quaternion , or of a Vec- tor ...
Page xii
... conjugate , then this last cubic has three real roots , c1 , c2 , c3 ; while , in the same case , the vector ... conjugation , is given at a later stage , in the few first subarticles to Art . 415 ( pp . 698 , 699 ) . CONTENTS . Spop ...
... conjugate , then this last cubic has three real roots , c1 , c2 , c3 ; while , in the same case , the vector ... conjugation , is given at a later stage , in the few first subarticles to Art . 415 ( pp . 698 , 699 ) . CONTENTS . Spop ...
Page xx
... conjugate , of the variable vector p of the cubic curve . The number of the scalar constants , in the form ( Y ... conjugation of the function in ( Y ) . ( j ) . Deviation of a near point P , of the given curve , from the sphere ( 395 ) ...
... conjugate , of the variable vector p of the cubic curve . The number of the scalar constants , in the form ( Y ... conjugation of the function in ( Y ) . ( j ) . Deviation of a near point P , of the given curve , from the sphere ( 395 ) ...
Page xxix
... Conjugate Points , and of Conjugate Di- arts , with respect to the surface fp = 1 , f ( 0 , p ) = 1 , ( P1 ) , and ƒ ( p , p ' ) = 0 ; ( P1 ) Condition of Contact , of the same surface with the right line PP ' , ( ƒ ( p , p ' ) − 1 ) 3 ...
... Conjugate Points , and of Conjugate Di- arts , with respect to the surface fp = 1 , f ( 0 , p ) = 1 , ( P1 ) , and ƒ ( p , p ' ) = 0 ; ( P1 ) Condition of Contact , of the same surface with the right line PP ' , ( ƒ ( p , p ' ) − 1 ) 3 ...
Page xxxi
... conjugate , with respect to that indicating curve : the equation of such conjugation , of two tangents and r ' , being in the present notation ( see again p . 668 ) , STOT ' = 0 , or Sr'pr = 0 . ( U1 " ) ( ƒ ) . New proof ( p . 669 ) of ...
... conjugate , with respect to that indicating curve : the equation of such conjugation , of two tangents and r ' , being in the present notation ( see again p . 668 ) , STOT ' = 0 , or Sr'pr = 0 . ( U1 " ) ( ƒ ) . New proof ( p . 669 ) of ...
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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