Elements of Quaternions |
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... regards the method of expo- sition , which it has been thought convenient on this occasion to adopt . [ 2. ] The present treatise is divided into Three Books , each designed to develope one guiding conception or view , and to illustrate ...
... regards the method of expo- sition , which it has been thought convenient on this occasion to adopt . [ 2. ] The present treatise is divided into Three Books , each designed to develope one guiding conception or view , and to illustrate ...
Page viii
... regards the present exposition ) an important one ; and if it have been read with care , after a perusal of the portions previously indicated , no difficulty will be experienced in passing to any subse- quent applications of Quaternions ...
... regards the present exposition ) an important one ; and if it have been read with care , after a perusal of the portions previously indicated , no difficulty will be experienced in passing to any subse- quent applications of Quaternions ...
Page 6
... regard AD , either as the sum of ab , bd , or as the sum of AC , CD , we are allowed to establish the follow- ing general formula of association , for the case of any three summand lines , a , ẞ , y : ( y + B ) + a = y + ( ẞ + a ) = y + ...
... regard AD , either as the sum of ab , bd , or as the sum of AC , CD , we are allowed to establish the follow- ing general formula of association , for the case of any three summand lines , a , ẞ , y : ( y + B ) + a = y + ( ẞ + a ) = y + ...
Page 35
... regards their substance ( although investigated by a totally different analysis ) , from that highly original treatise of MÖBIUS , which was referred to in a former note ( p . 23 ) . Compare Note B , upon the Barycentric Calcu- lus ...
... regards their substance ( although investigated by a totally different analysis ) , from that highly original treatise of MÖBIUS , which was referred to in a former note ( p . 23 ) . Compare Note B , upon the Barycentric Calcu- lus ...
Page 83
... regard it as evident , at least on com- parison with the analogous property ( 42 ) of the plane net , that every point , line , or plane , to which such constructions can conduct , must necessarily be rational ( 77 ) ; or that it must ...
... regard it as evident , at least on com- parison with the analogous property ( 42 ) of the plane net , that every point , line , or plane , to which such constructions can conduct , must necessarily be rational ( 77 ) ; or that it must ...
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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