Introduction to QuaternionsMacmillan and Company, 1882 - 232 |
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Strona xi
... of DIVISION , VERSOR and QUATERNION , 24-28 ; examples , 29 ; conjugate quaternions , 30 ; interpretation of formulæ , 31 . ADDITIONAL EXAMPLES TO CHAPTER III . PAGES 1-5 6-31 32-58 CHAPTER IV . THE STRAIGHT LINE AND PLANE Equations of.
... of DIVISION , VERSOR and QUATERNION , 24-28 ; examples , 29 ; conjugate quaternions , 30 ; interpretation of formulæ , 31 . ADDITIONAL EXAMPLES TO CHAPTER III . PAGES 1-5 6-31 32-58 CHAPTER IV . THE STRAIGHT LINE AND PLANE Equations of.
Strona xiii
... conjugate diameters and diame- tral planes , with examples , 60-64 ; the cone , 65 , 66 ; examples on central surfaces , 67 ; Pascal's hexagram , 68 ADDITIONAL EXAMPLES TO CHAPTER VIII . CHAPTER IX . FORMULE AND THEIR APPLICATION ...
... conjugate diameters and diame- tral planes , with examples , 60-64 ; the cone , 65 , 66 ; examples on central surfaces , 67 ; Pascal's hexagram , 68 ADDITIONAL EXAMPLES TO CHAPTER VIII . CHAPTER IX . FORMULE AND THEIR APPLICATION ...
Strona 52
... Conjugate Quaternions . - 30. If we designate by q the expression - cos + esin 0 , we have seen that it may be regarded as a versor through an angle in a certain direction . Now if we write in place of 0 in this expression it assumes ...
... Conjugate Quaternions . - 30. If we designate by q the expression - cos + esin 0 , we have seen that it may be regarded as a versor through an angle in a certain direction . Now if we write in place of 0 in this expression it assumes ...
Strona 53
Philip Kelland, Peter Guthrie Tait. versor , we have Sir W. Hamilton's conjugate quaternion defined thus : The conjugate of a quaternion q , written Kq , has the same tensor , plane and angle as q has , only the angle is taken in the ...
Philip Kelland, Peter Guthrie Tait. versor , we have Sir W. Hamilton's conjugate quaternion defined thus : The conjugate of a quaternion q , written Kq , has the same tensor , plane and angle as q has , only the angle is taken in the ...
Strona 98
... conjugate to one another . 49. Our object being simply to illustrate the process , we shall set down in this Article a few of the properties of conjugate diameters without attempting to classify or complete them . 1. If CP , CD are the ...
... conjugate to one another . 49. Our object being simply to illustrate the process , we shall set down in this Article a few of the properties of conjugate diameters without attempting to classify or complete them . 1. If CP , CD are the ...
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A. S. WALPOLE A. W. VERRALL ALGEBRA ARITHMETIC Assistant Master aßy axis BEGINNERS bisects Cambridge centre chord circle cone CONIC SECTIONS conjugate diameters constant drawn Edited ELEMENTARY TREATISE ellipse ellipsoid ENGLISH equal EXAMPLES Exercises Fcap find the locus G. E. FASNACHT GEOMETRY given lines given point gives GRAMMAR GREEK Hence HISTORY hyperbola Illustrated intersection Introduction and Notes ISAAC TODHUNTER J. P. MAHAFFY LATIN Litt Litt.D LL.D M.A. BOOK M.A. Cr MACMILLAN'S Mathematics middle points parabola parallelepiped parallelogram PRIMER Prof Professor quaternion revised right angles rotation Sapa Saß scalar School shews Spop squares strain tangent plane tetrahedron Translated triangle Trinity College unit vectors values Vaß vector parallel vector perpendicular Vẞy whence yẞ αβγ φρ
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