Elements of Quaternions |
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Results 1-5 of 96
Page iii
... Means of 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 ...
... Means of 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 ...
Page v
... Mean Proportional , Square Root ; General Reduction of a Quaternion in a given Plane , to a Standard Bino- mial Form , · SECTION 2. - On Continued Proportion of Four or more Vec- tors ; whole Powers and Roots of Quaternions ; and Roots ...
... Mean Proportional , Square Root ; General Reduction of a Quaternion in a given Plane , to a Standard Bino- mial Form , · SECTION 2. - On Continued Proportion of Four or more Vec- tors ; whole Powers and Roots of Quaternions ; and Roots ...
Page vi
... Means of Vectors ; with Remarks on the Anhar- monic Quaternion of a Group of Four Points , and on Conditions of Concircularity , In this last Section ( II . ii . 7 ) the short first Article 258 , and the following Art . 259 , as far as ...
... Means of Vectors ; with Remarks on the Anhar- monic Quaternion of a Group of Four Points , and on Conditions of Concircularity , In this last Section ( II . ii . 7 ) the short first Article 258 , and the following Art . 259 , as far as ...
Page xii
... means of definite integration ( pp . 434 , 435 ) , to deduce the known area and volume of a sphere , or of portions thereof ; together with the theorem , that the vector sum of the directed elements of a spheric segment is zero : each ...
... means of definite integration ( pp . 434 , 435 ) , to deduce the known area and volume of a sphere , or of portions thereof ; together with the theorem , that the vector sum of the directed elements of a spheric segment is zero : each ...
Page xxvii
... means of a Diacentric Sphere and a Point ( p . 227 , comp . Fig . 53 , p226 ) , which was among the earliest geometrical results of the Qua- terations . The three semiaxes , a , b , c , are expressed ( comp . p . 230 ) in terms of 4 ...
... means of a Diacentric Sphere and a Point ( p . 227 , comp . Fig . 53 , p226 ) , which was among the earliest geometrical results of the Qua- terations . The three semiaxes , a , b , c , are expressed ( comp . p . 230 ) in terms of 4 ...
Contents
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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