An Elementary Treatise on Quaternions |
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Page v
... Surface , & c . , which are reprinted in the present work from the Quarterly Mathematical Journal and the Proceedings of the Royal Society of Edinburgh . ' Sir W. Hamilton , when I saw him but a few days before his death , urged me to ...
... Surface , & c . , which are reprinted in the present work from the Quarterly Mathematical Journal and the Proceedings of the Royal Society of Edinburgh . ' Sir W. Hamilton , when I saw him but a few days before his death , urged me to ...
Page xi
... 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 in such applications , and , though I have not ...
... 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 in such applications , and , though I have not ...
Page xvi
... surface . § 105 . Interpretation of aßy when it is a vector . § 106 . Examples of variety in simple transformations ... surfaces , and solids . §§ 116-119 . Proof that .1 r − 1 ( p2 q2 ) 3 q − 1 = U ( rq + Kr Kg ) . § 120 . Proof of ...
... surface . § 105 . Interpretation of aßy when it is a vector . § 106 . Examples of variety in simple transformations ... surfaces , and solids . §§ 116-119 . Proof that .1 r − 1 ( p2 q2 ) 3 q − 1 = U ( rq + Kr Kg ) . § 120 . Proof of ...
Page xviii
... surface if Proof that when is not self - conjugate Proof that , if mSpp - 1p = ghp2 . φρ = φ'ρ + Περ . q = αφα + βφβ ... SURFACES OF THE SECOND ORDER . 135-151 · EXAMPLES TO CHAPTER VIII . 151-154 CHAPTER IX . - GEOMETRY OF CURVES AND ...
... surface if Proof that when is not self - conjugate Proof that , if mSpp - 1p = ghp2 . φρ = φ'ρ + Περ . q = αφα + βφβ ... SURFACES OF THE SECOND ORDER . 135-151 · EXAMPLES TO CHAPTER VIII . 151-154 CHAPTER IX . - GEOMETRY OF CURVES AND ...
Page xx
Peter Guthrie Tait. Problem on reflecting surfaces . § 406 . Fresnel's Theory of Double Refraction . Various forms of the equation of Fresnel's Wave - surface ; S.p ( pp ) -p - 1 , Tp - 2-4-2 ) -p = 0 , 1 pp2 ( T + S ) Vλp Vμp , The ...
Peter Guthrie Tait. Problem on reflecting surfaces . § 406 . Fresnel's Theory of Double Refraction . Various forms of the equation of Fresnel's Wave - surface ; S.p ( pp ) -p - 1 , Tp - 2-4-2 ) -p = 0 , 1 pp2 ( T + S ) Vλp Vμp , The ...
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Common terms and phrases
a₁ axes axis Cartesian centre of inertia Chapter circle cloth cone conjugate constant cöordinates coplanar curvature curve developable surface diameters differential direction drawn easily ellipsoid envelop equal evidently expression Extra fcap extremity fcap Find the equation Find the locus given equation given line given vectors gives Hamilton Hence hodograph integral intersection last section length linear and vector locus normal obviously once operator origin osculating osculating plane P₁ parabola parallel perpendicular properties quaternion radius rectangular represents result right angles rotation S.aßy Saß scalar scalar equations second order self-conjugate shew solution sphere spherical straight line suppose surface surface of revolution tangent plane Taylor's Theorem tensor theorem three vectors triangle unit-vectors Vaß vector function versor w₁ write written Τρ φρ