Introduction to QuaternionsMacmillan and Company, 1882 - 232 |
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Strona xii
... ELLIPSE · CHAPTER VI . 73-90 . 91-105 Equations of the ellipse , 43 ; properties of pp , 44 ; equation of tangent , 45 ; Cartesian equations , 46 ; -1p , p , & c . 47 ; properties of the ellipse , with examples , 48-50 . ADDITIONAL ...
... ELLIPSE · CHAPTER VI . 73-90 . 91-105 Equations of the ellipse , 43 ; properties of pp , 44 ; equation of tangent , 45 ; Cartesian equations , 46 ; -1p , p , & c . 47 ; properties of the ellipse , with examples , 48-50 . ADDITIONAL ...
Strona 69
... ellipse . * Ex . 8. If a plane be drawn through the points of bisection of two opposite edges of a tetrahedron it will bisect the tetrahedron . Let D , E be the middle points of OB , AC : DFEG the cutting plane : OA , OB , OC = a , B ...
... ellipse . * Ex . 8. If a plane be drawn through the points of bisection of two opposite edges of a tetrahedron it will bisect the tetrahedron . Let D , E be the middle points of OB , AC : DFEG the cutting plane : OA , OB , OC = a , B ...
Strona 90
... points is constant . its locus is a sphere . Prove that 12. A sphere touches each of two given straight lines which do not meet ; find the locus of its centre . CHAPTER VI . THE ELLIPSE . 43. 1 . 1. 90 [ CHAP . V. QUATERNIONS .
... points is constant . its locus is a sphere . Prove that 12. A sphere touches each of two given straight lines which do not meet ; find the locus of its centre . CHAPTER VI . THE ELLIPSE . 43. 1 . 1. 90 [ CHAP . V. QUATERNIONS .
Strona 91
... ellipse , a few of whose properties we are about to exhibit . 2. SA , SA ' are multiples of a : call one of them xa : then , by equation ( 1 ) , putting xa for p , we get Q D x2 = e3 ( 1 − x ) 3 ; C ... - x = E } A S M C H A ' . * . x ...
... ellipse , a few of whose properties we are about to exhibit . 2. SA , SA ' are multiples of a : call one of them xa : then , by equation ( 1 ) , putting xa for p , we get Q D x2 = e3 ( 1 − x ) 3 ; C ... - x = E } A S M C H A ' . * . x ...
Strona 92
... ellipse , which we shall as usual abbreviate by 2a . If C be the centre of the ellipse A'S CS - SA ' = ae , e -e - e - ; ) SD = eCA and if vector CS be designated by a ' , CP by p ' , we have a ' = eo 2 a and p ' = p + a ' ; whence , by ...
... ellipse , which we shall as usual abbreviate by 2a . If C be the centre of the ellipse A'S CS - SA ' = ae , e -e - e - ; ) SD = eCA and if vector CS be designated by a ' , CP by p ' , we have a ' = eo 2 a and p ' = p + a ' ; whence , by ...
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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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