An Elementary Treatise on QuaternionsClarendon Press, 1873 - 296 pagina's |
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Pagina xi
... effect the application of Quaternions to line , surface , and volume integrals , such as occur in Hydrokinetics , Electricity , and Potentials generally . I was first attracted to the study of Quaternions by their promise of usefulness ...
... effect the application of Quaternions to line , surface , and volume integrals , such as occur in Hydrokinetics , Electricity , and Potentials generally . I was first attracted to the study of Quaternions by their promise of usefulness ...
Pagina xx
... Effect of on various functions of p = ix + jy + kz . Vp = -3 , VTp - Up , Up : Applications of the theorem Sapa , Vap = 2a . 2 • Τρ Vap S.Opv 8.8p Tp 1 = SS.av §§ 449-457 . Τρ Farther examination of the use of as applied to ...
... Effect of on various functions of p = ix + jy + kz . Vp = -3 , VTp - Up , Up : Applications of the theorem Sapa , Vap = 2a . 2 • Τρ Vap S.Opv 8.8p Tp 1 = SS.av §§ 449-457 . Τρ Farther examination of the use of as applied to ...
Pagina 2
... effect on any line is to make it rotate ( positively ) about the origin through an angle of 90 ° . 5. ] In such a system , a point is defined by a single imaginary expression . Thus a + b1 may be considered as a single quan- tity ...
... effect on any line is to make it rotate ( positively ) about the origin through an angle of 90 ° . 5. ] In such a system , a point is defined by a single imaginary expression . Thus a + b1 may be considered as a single quan- tity ...
Pagina 25
... is a positive , or rather a signless , number . 2nd . Turn OA about O until its direction coincides with that of OB , and ( remembering the effect of the first operation ) we see that the two vectors now coincide or become.
... is a positive , or rather a signless , number . 2nd . Turn OA about O until its direction coincides with that of OB , and ( remembering the effect of the first operation ) we see that the two vectors now coincide or become.
Pagina 28
... effect of the other . The joint effect of these factors is therefore merely to multiply twice over by the common tensor . 53. ] It is evident from the results of § 50 that , if a and ß be of equal length , their quaternion quotient ...
... effect of the other . The joint effect of these factors is therefore merely to multiply twice over by the common tensor . 53. ] It is evident from the results of § 50 that , if a and ß be of equal length , their quaternion quotient ...
Overige edities - Alles bekijken
Veelvoorkomende woorden en zinsdelen
a₁ axes axis Cartesian centre of inertia Chapter circle condition cone conjugate cöordinates coplanar curvature curve developable surface differential direction drawn easily Eliminating ellipsoid envelop equal evidently expression extremity Find the equation Find the locus formula given equation given lines given point gives Hamilton Hence hodograph integral intersection LAOB last section length linear and vector magnetism normal obviously once operator origin osculating plane P₁ parabola parallel pass perpendicular properties prove quaternion radius represents result right angles rotation S.aßy Saß scalar scalar equations second order shew solution sphere spherical conic straight line suppose surface surface of revolution tangent plane tensor tetrahedron theorem three vectors triangle unit-vectors Vaß vector function vector perpendicular versor write written Τρ φρ
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Pagina 299 - SCRIPTURES, &c. The Cambridge Paragraph Bible of the Authorized English Version, with the Text revised by a Collation of its Early and other Principal Editions...
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Pagina 299 - Students of the Bible should be particularly grateful to (the Cambridge University Press) for having produced, with the able assistance of Dr Scrivener, a complete critical edition of the Authorized Version of the English Bible, an edition such as, to use the words of the Editor, 'would have been executed long ago had this version been nothing more than the greatest and best known of English classics.
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