An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side v
... focus and directrix , before considering the General Equation of the Second Degree . I believe that this arrangement is the best for beginners . The examples in the body of each chapter are for the most part very easy applications of ...
... focus and directrix , before considering the General Equation of the Second Degree . I believe that this arrangement is the best for beginners . The examples in the body of each chapter are for the most part very easy applications of ...
Side vii
... FOCUS BEING 105 112 138 146 162 THE POLE • Examples on Chapter VIII . 166 176 CHAPTER IX . GENERAL EQUATION OF THE SECOND DEGREE , Every curve whose equation is of the second degree is a conic Co - ordinates of the centre of a conic 179 ...
... FOCUS BEING 105 112 138 146 162 THE POLE • Examples on Chapter VIII . 166 176 CHAPTER IX . GENERAL EQUATION OF THE SECOND DEGREE , Every curve whose equation is of the second degree is a conic Co - ordinates of the centre of a conic 179 ...
Side 88
... focus , the fixed straight line is called a directrix , and the constant ratio is called the eccentricity . It will be shewn hereafter [ Art . 312 ] that if a right circular cone be cut by any plane , the section will be in all cases a ...
... focus , the fixed straight line is called a directrix , and the constant ratio is called the eccentricity . It will be shewn hereafter [ Art . 312 ] that if a right circular cone be cut by any plane , the section will be in all cases a ...
Side 89
... focus is the point ( a , 0 ) . The directrix is the line x + a = 0 . SPMP = 0A + AN = a + x . 91. Since the equation of the parabola is y = 4ax , and y2 is a positive quantity , a must always be positive , and therefore the curve lies ...
... focus is the point ( a , 0 ) . The directrix is the line x + a = 0 . SPMP = 0A + AN = a + x . 91. Since the equation of the parabola is y = 4ax , and y2 is a positive quantity , a must always be positive , and therefore the curve lies ...
Side 90
... focus perpendicular to the direc- trix is called the axis of the parabola . The chord through the focus perpendicular to the axis is called the latus - rectum . In the figure to Art . 90 , SL = LK = OS = 2a . There- fore the whole ...
... focus perpendicular to the direc- trix is called the axis of the parabola . The chord through the focus perpendicular to the axis is called the latus - rectum . In the figure to Art . 90 , SL = LK = OS = 2a . There- fore the whole ...
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An Elementary Treatise on Conic Sections by the Methods of Co-ordinate Geometry Charles Smith Uten tilgangsbegrensning - 1921 |
Vanlige uttrykk og setninger
2hxy a² b2 angular points asymptotes ax² axes bisect by² Cambridge centre circumscribing coefficients College confocal conics conjugate diameters conjugate hyperbola constant corresponding cross ratio Crown 8vo curve diagonals directrix distance eccentric angles Edition ellipse envelope equal angles Extra fcap fcap find the equation find the locus fixed point fixed straight line foci focus four points given points given straight line harmonic Hence imaginary inscribed latus rectum Let the co-ordinates Let the equation line joining line whose equation meet middle point nine-point circle normals pair of conjugate parabola pass pencil perpendicular point of intersection point Q points at infinity points of contact polar pole Professor projection prove quadrilateral radical axis rectangular hyperbola required equation right angles shew sides square subtend tangents triangle of reference values vertex zero
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