Introduction to Quaternions: With Numerous ExamplesMacmillan, 1882 - 232 σελίδες |
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Σελίδα xii
... PARABOLA AND HYPERBOLA · Equation of the parabola in terms of øp , with examples , 52-54 ; equations of the parabola , ellipse and hyperbola in a form corre- sponding to those with Cartesian co - ordinates , with examples , 55 ...
... PARABOLA AND HYPERBOLA · Equation of the parabola in terms of øp , with examples , 52-54 ; equations of the parabola , ellipse and hyperbola in a form corre- sponding to those with Cartesian co - ordinates , with examples , 55 ...
Σελίδα 105
... , is bisected by the smaller ellipse at Q. 13. If TP , TQ be tangents to an ellipse , and PCP ' be the diameter through P , then P'Q is parallel to CT . CHAPTER VII . THE PARABOLA AND HYPERBOLA . 51. As EX . 6. ] 105 THE ELLIPSE .
... , is bisected by the smaller ellipse at Q. 13. If TP , TQ be tangents to an ellipse , and PCP ' be the diameter through P , then P'Q is parallel to CT . CHAPTER VII . THE PARABOLA AND HYPERBOLA . 51. As EX . 6. ] 105 THE ELLIPSE .
Σελίδα 106
... parabola which may be conveniently developed by a process more analogous to that of the Cartesian geometry . This process we shall develope presently . In the meantime we proceed to give a brief outline of the application to the parabola ...
... parabola which may be conveniently developed by a process more analogous to that of the Cartesian geometry . This process we shall develope presently . In the meantime we proceed to give a brief outline of the application to the parabola ...
Σελίδα 107
... ( 5 ) , and there results by ( 6 ) whence x + Sa ̄1p = 1 , 1 ( x − 1 ) a = a - asa ̄p ; - i.e. vector AT = -vector AN ( by 11 ) ; .. line AT = AN ; and ST = xa gives ST = ( a - ART . 52. ] THE PARABOLA AND HYPERBOLA . 107.
... ( 5 ) , and there results by ( 6 ) whence x + Sa ̄1p = 1 , 1 ( x − 1 ) a = a - asa ̄p ; - i.e. vector AT = -vector AN ( by 11 ) ; .. line AT = AN ; and ST = xa gives ST = ( a - ART . 52. ] THE PARABOLA AND HYPERBOLA . 107.
Σελίδα 109
... parabola , the ratio of the rectangles of their segments is always ART . 54. ] THE PARABOLA AND HYPERBOLA . 109.
... parabola , the ratio of the rectangles of their segments is always ART . 54. ] THE PARABOLA AND HYPERBOLA . 109.
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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