Elements of Quaternions |
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Page xx
... equal ( p . 595 ) to the quarter of the deviation ( 397 ) of the same near point P , from the osculating circle at P , multiplied by the sine of the small angle spss , which the small are ss , of the locus of the spheric centre s ( or ...
... equal ( p . 595 ) to the quarter of the deviation ( 397 ) of the same near point P , from the osculating circle at P , multiplied by the sine of the small angle spss , which the small are ss , of the locus of the spheric centre s ( or ...
Page xlvi
... equal to the living force ( h2 ) divided by the square ( Ti2 ) of the semidiameter of the ellipsoid ( P3 ) , which has the direction of that axis ; and hence may be derived , with the help of the first general construc- tion of an ...
... equal to the living force ( h2 ) divided by the square ( Ti2 ) of the semidiameter of the ellipsoid ( P3 ) , which has the direction of that axis ; and hence may be derived , with the help of the first general construc- tion of an ...
Page 2
... equal , and may therefore be denoted by a common symbol , such as that used for zero ; so that we may write , A - A = B - B = & c . = 0 ; but that two actual vectors , AB and CD , are not ( in the present full sense ) equal to each ...
... equal , and may therefore be denoted by a common symbol , such as that used for zero ; so that we may write , A - A = B - B = & c . = 0 ; but that two actual vectors , AB and CD , are not ( in the present full sense ) equal to each ...
Page 3
... equal to the same third vector , AB , A are also equal to each other ; and these three equal vectors are , in general , the three parallel edges of a prism . E Fig . 6 . B SECTION 2. - On Differences and Sums of Vectors taken two by two ...
... equal to the same third vector , AB , A are also equal to each other ; and these three equal vectors are , in general , the three parallel edges of a prism . E Fig . 6 . B SECTION 2. - On Differences and Sums of Vectors taken two by two ...
Page 5
... equal vectors be added to equal vectors , the sums are equal vectors , even if the summands be not given as successive ( comp . 5 ) ; and if a null vector be added to an actual vector , the sum is that actual vector ; or , in symbols ...
... equal vectors be added to equal vectors , the sums are equal vectors , even if the summands be not given as successive ( comp . 5 ) ; and if a null vector be added to an actual vector , the sum is that actual vector ; or , in symbols ...
Contents
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37 | |
55 | |
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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