Elements of Quaternions |
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... space of three dimensions . The Second Book introduces a First Con- ception of a Quaternion , considered as the Quotient of two such Vectors . And the Third Book treats of Products and Powers of Vectors , regarded as constituting a ...
... space of three dimensions . The Second Book introduces a First Con- ception of a Quaternion , considered as the Quotient of two such Vectors . And the Third Book treats of Products and Powers of Vectors , regarded as constituting a ...
Page ii
... Space , before proceeding to the Second Book ( pages 103 , & c . ) , which treats of Qua- ternions as Quotients of Vectors . 12-20 SECTION 3. - On Plane Geometrical Nets , SECTION 4. - On Anharmonic Co - ordinates and Equations of ...
... Space , before proceeding to the Second Book ( pages 103 , & c . ) , which treats of Qua- ternions as Quotients of Vectors . 12-20 SECTION 3. - On Plane Geometrical Nets , SECTION 4. - On Anharmonic Co - ordinates and Equations of ...
Page iii
... Space , 62-67 SECTION 4. - On Geometrical Nets in Space , 67-85 SECTION 5. - On Barycentres of Systems of Points ; and on 85-89 · 90-97 Simple and Complex Means of Vectors , SECTION 6. - On Anharmonic Equations , and Vector Ex ...
... Space , 62-67 SECTION 4. - On Geometrical Nets in Space , 67-85 SECTION 5. - On Barycentres of Systems of Points ; and on 85-89 · 90-97 Simple and Complex Means of Vectors , SECTION 6. - On Anharmonic Equations , and Vector Ex ...
Page ix
... Space ( u , or + 1 ) , which is of a scalar rather than a vector character , as admitting merely of change of sign , through reversal of an order of rotation , although it presents itself in this theory as the Fourth Proportional ( ijk ) ...
... Space ( u , or + 1 ) , which is of a scalar rather than a vector character , as admitting merely of change of sign , through reversal of an order of rotation , although it presents itself in this theory as the Fourth Proportional ( ijk ) ...
Page xiii
... Space , 496-501 • • SECTION 3. - On Normals and Tangent Planes to Surfaces , 501-510 SECTION 4. - On Osculating Planes , and Absolute Normals , to Curves of Double Curvature , . . . 511-515 SECTION 5. - On Geodetic Lines , and Families ...
... Space , 496-501 • • SECTION 3. - On Normals and Tangent Planes to Surfaces , 501-510 SECTION 4. - On Osculating Planes , and Absolute Normals , to Curves of Double Curvature , . . . 511-515 SECTION 5. - On Geodetic Lines , and Families ...
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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