Elements of Quaternions |
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Page iv
... Symbol V - 1 admits then of a real in- terpretation , in this as in several other systems ; but when thus treated as real , it is in the present Calculus too vague to be useful : on which account it is found convenient to retain the old ...
... Symbol V - 1 admits then of a real in- terpretation , in this as in several other systems ; but when thus treated as real , it is in the present Calculus too vague to be useful : on which account it is found convenient to retain the old ...
Page xii
... Symbol , p , of Operation on a Vector , p , satisfies ( p . 443 ) a Symbolic and Cubic Equation , of the form , Pages . 435-495 whence 0 = m- m'p + m " p2 − 03 ; mp - 1 = m ' — m ” p + p2 = 4 , ( N ) ( N ' ) = another symbol of linear ...
... Symbol , p , of Operation on a Vector , p , satisfies ( p . 443 ) a Symbolic and Cubic Equation , of the form , Pages . 435-495 whence 0 = m- m'p + m " p2 − 03 ; mp - 1 = m ' — m ” p + p2 = 4 , ( N ) ( N ' ) = another symbol of linear ...
Page xxxiii
... symbol 01 ( comp . pp . 300 , 459 , 662 , 671 , 672 ) ; and conversely , that when this last symbol represents a vector which is not null , the vector thus denoted is an imaginary line , which cuts that circle . It may be noted here ...
... symbol 01 ( comp . pp . 300 , 459 , 662 , 671 , 672 ) ; and conversely , that when this last symbol represents a vector which is not null , the vector thus denoted is an imaginary line , which cuts that circle . It may be noted here ...
Page 3
... symbols , if D - CB - A , then C - DAB , and D - BC – A. which are B Fig . 5 . D Two vectors , CD and EF , equal to ... symbols of opposite vectors , while a and − ( − a ) are , - a for the same reason , symbols of one common vector.
... symbols , if D - CB - A , then C - DAB , and D - BC – A. which are B Fig . 5 . D Two vectors , CD and EF , equal to ... symbols of opposite vectors , while a and − ( − a ) are , - a for the same reason , symbols of one common vector.
Page 5
... symbols , 0 + a = a . If then we agree to abridge generally ( comp . 4 ) the expression 0+ a to + a , and if a still denote a vector , then + a , and + ( + a ) , & c . , are other symbols for the same vector ; and we have , as in ...
... symbols , 0 + a = a . If then we agree to abridge generally ( comp . 4 ) the expression 0+ a to + a , and if a still denote a vector , then + a , and + ( + a ) , & c . , are other symbols for the same vector ; and we have , as in ...
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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