Elements of Quaternions |
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Page i
... VECTORS , Pages . 1-102 • 1-11 SECTION 2. - On Differences and Sums of Vectors , taken two SECTION 1. - On the Conception of a Vector ; and on Equa- lity of Vectors , 1-3 by two ,. 3-5 5-7 8-11 SECTION 3. - On Sums of Three or more Vectors ...
... VECTORS , Pages . 1-102 • 1-11 SECTION 2. - On Differences and Sums of Vectors , taken two SECTION 1. - On the Conception of a Vector ; and on Equa- lity of Vectors , 1-3 by two ,. 3-5 5-7 8-11 SECTION 3. - On Sums of Three or more Vectors ...
Page iii
... Vectors , SECTION 6. - On Anharmonic Equations , and Vector Ex- pressions , of Surfaces and Curves in Space , SECTION 7. - On Differentials of Vectors , An application of finite differences , to a question connected with ba- rycentres ...
... Vectors , SECTION 6. - On Anharmonic Equations , and Vector Ex- pressions , of Surfaces and Curves in Space , SECTION 7. - On Differentials of Vectors , An application of finite differences , to a question connected with ba- rycentres ...
Page vii
... vector a , namely a second vector , which has an in- verse length , and an opposite direction . Multiplication of Vectors is thus proved to be ( like that of Quaternions ) a Distributive , but not generally a Commutative Operation . The ...
... vector a , namely a second vector , which has an in- verse length , and an opposite direction . Multiplication of Vectors is thus proved to be ( like that of Quaternions ) a Distributive , but not generally a Commutative Operation . The ...
Page viii
... vectors , a product of two vectors is treated as the product of the two right quaternions , of which those vectors are the indices ( II . i . 5 ) . It is shown that , on the same plan , the Sum of a Scalar and a Vector is a Quaternion ...
... vectors , a product of two vectors is treated as the product of the two right quaternions , of which those vectors are the indices ( II . i . 5 ) . It is shown that , on the same plan , the Sum of a Scalar and a Vector is a Quaternion ...
Page xii
... Vector or a Quaternion : with some connected Investigations , In this Section it is shown , among other things , that a Linear and Vector Symbol , p , of Operation on a Vector , p , satisfies ( p . 443 ) a Symbolic and Cubic Equation ...
... Vector or a Quaternion : with some connected Investigations , In this Section it is shown , among other things , that a Linear and Vector Symbol , p , of Operation on a Vector , p , satisfies ( p . 443 ) a Symbolic and Cubic Equation ...
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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