Elements of Quaternions |
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Page i
... opposite and successive vectors , " " origin and term of a vector , " " equal and unequal vectors , " " addition and subtraction of vectors , " " multiples and fractions of vectors , " & c .; with the nota- tion B - A , for the Vector ...
... opposite and successive vectors , " " origin and term of a vector , " " equal and unequal vectors , " " addition and subtraction of vectors , " " multiples and fractions of vectors , " & c .; with the nota- tion B - A , for the Vector ...
Page iv
... 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 ; and on some ...
... 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 ; and on some ...
Page 2
... opposite sides of a parallelogram , ABDC ; the two lines AD , BC becoming thus the two dia- gonals of such a figure , and consequently bisecting each other , in some point E. Conversely , if the two equa- tions , D - E = E - A ...
... opposite sides of a parallelogram , ABDC ; the two lines AD , BC becoming thus the two dia- gonals of such a figure , and consequently bisecting each other , in some point E. Conversely , if the two equa- tions , D - E = E - A ...
Page 3
... opposite vections , we have the formula , 0- ( BA ) = ( AA ) - ( B - A ) = A - B ; so that , if an actual vector AB be subtracted from a null vector AA , the remainder is the revector BA . If then we agree to abridge , generally , an ...
... opposite vections , we have the formula , 0- ( BA ) = ( AA ) - ( B - A ) = A - B ; so that , if an actual vector AB be subtracted from a null vector AA , the remainder is the revector BA . If then we agree to abridge , generally , an ...
Page 4
... opposite vectors ( or of vector and revector ) is a null line ; so that BA + AB = 0 , or ( A - B ) + ( B − a ) = 0 . It follows also that the sums of equal pairs of successive vectors are equal ; or more fully that B Fig . 7 . if B'A ...
... opposite vectors ( or of vector and revector ) is a null line ; so that BA + AB = 0 , or ( A - B ) + ( B − a ) = 0 . It follows also that the sums of equal pairs of successive vectors are equal ; or more fully that B Fig . 7 . if B'A ...
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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