Introduction to Quaternions: With Numerous ExamplesMacmillan, 1882 - 232 σελίδες |
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Σελίδα xiii
... cone , 65 , 66 ; examples on central surfaces , 67 ; Pascal's hexagram , 68 ADDITIONAL EXAMPLES TO CHAPTER VIII . CHAPTER IX . FORMULE AND THEIR APPLICATION Formulæ , 69 , 70 ; examples , 71 . ADDITIONAL EXAMPLES TO CHAPTER IX . PAGES ...
... cone , 65 , 66 ; examples on central surfaces , 67 ; Pascal's hexagram , 68 ADDITIONAL EXAMPLES TO CHAPTER VIII . CHAPTER IX . FORMULE AND THEIR APPLICATION Formulæ , 69 , 70 ; examples , 71 . ADDITIONAL EXAMPLES TO CHAPTER IX . PAGES ...
Σελίδα 128
... CONE . 56. The Ellipsoid . In discussing central surfaces of the second order , we shall speak as if our results were limited to the ellipsoid . That such limitation is not , in most cases , necessarily imposed on us , will be apparent ...
... CONE . 56. The Ellipsoid . In discussing central surfaces of the second order , we shall speak as if our results were limited to the ellipsoid . That such limitation is not , in most cases , necessarily imposed on us , will be apparent ...
Σελίδα 144
... cone . 1. To find the equation of a cone of revolution whose vertex is the origin 0 . then Let a be a unit vector along the axis OA , ρ the vector to a point P on the surface of the cone ; being the angle POA . Sap = - Tp cos 0 , But ...
... cone . 1. To find the equation of a cone of revolution whose vertex is the origin 0 . then Let a be a unit vector along the axis OA , ρ the vector to a point P on the surface of the cone ; being the angle POA . Sap = - Tp cos 0 , But ...
Σελίδα 145
... cone . COR . 1. Every section by a plane parallel to Sapa is a circle . For the equation of a plane parallel to is Sap = - a3 2 Sap aa3 , which being substituted in the equation of the cone gives the equation of a circle . COR . 2. The ...
... cone . COR . 1. Every section by a plane parallel to Sapa is a circle . For the equation of a plane parallel to is Sap = - a3 2 Sap aa3 , which being substituted in the equation of the cone gives the equation of a circle . COR . 2. The ...
Σελίδα 146
... cone which has its vertex at the origin [ the centre of the ellipsoid ] , and which passes through all the points of contact of the tangent planes with the ellipsoid . Let a be the vector to the external point , p a point in the ...
... cone which has its vertex at the origin [ the centre of the ellipsoid ] , and which passes through all the points of contact of the tangent planes with the ellipsoid . Let a be the vector to the external point , p a point in the ...
Άλλες εκδόσεις - Προβολή όλων
Introduction to Quaternions, with Numerous Examples Philip Kelland,Peter Guthrie Tait Πλήρης προβολή - 1873 |
Introduction to Quaternions, with Numerous Examples. Philip Kelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2010 |
Introduction to Quaternions, with Numerous Examples P. Kelland,P. G. Tait Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ALGEBRA ARITHMETIC Assistant Master aßy axis BEGINNERS bisects Cambridge centre chord circle Clifton College cone CONIC SECTIONS conjugate diameters constant drawn Edited ELEMENTARY TREATISE ellipse ellipsoid ENGLISH equal EXAMPLES FASNACHT Fcap find the locus G. E. FASNACHT GEOMETRY given lines given point gives GRAMMAR GREEK Hence hyperbola Illustrated intersection Introduction and Notes ISAAC TODHUNTER J. P. MAHAFFY LATIN Lecturer LL.D M.A. Cr m₁ MACMILLAN'S Mathematics middle points Owens College p₁ parabola parallelepiped parallelogram PRIMER Prof Professor quaternion revised right angles rotation Sapa Saß scalar School shews squares strain tangent plane tetrahedron Translated triangle Trinity College unit vectors Vaß vector parallel vector perpendicular Vẞy whence yẞ αβγ φρ
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