A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica viii
... respect to a series of Confocal Conics 209 If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan PFO is constant ( see also p . 331 ) 210 PAGE Locus of intersection of Normals at extremities of a viii CONTENTS .
... respect to a series of Confocal Conics 209 If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan PFO is constant ( see also p . 331 ) 210 PAGE Locus of intersection of Normals at extremities of a viii CONTENTS .
Stranica ix
... respect to an Equilateral Hyperbola passes through centre ( see also p . 322 ) Locus of intersection of Tangents which make a given Intercept on a given Tangent • Locus of Centre , given four Tangents ( see also pp . 254 , 268 , 339 ) ...
... respect to an Equilateral Hyperbola passes through centre ( see also p . 322 ) Locus of intersection of Tangents which make a given Intercept on a given Tangent • Locus of Centre , given four Tangents ( see also pp . 254 , 268 , 339 ) ...
Stranica xii
... respecting Triangle cut by Conic ( see also p . 319 ) Reciprocal , when Ellipse , Hyperbola , or Parabola ; when Equilateral Hyperbola Axes of Reciprocal , how found Reciprocal of Properties of Confocal Conics To describe a Circle ...
... respecting Triangle cut by Conic ( see also p . 319 ) Reciprocal , when Ellipse , Hyperbola , or Parabola ; when Equilateral Hyperbola Axes of Reciprocal , how found Reciprocal of Properties of Confocal Conics To describe a Circle ...
Stranica 83
... respect to the coordinates xy , x'y ' , is unchanged by this operation . The equation then written above ( which when x'y ' is a point on the curve , represents the tangent at that point ) , when x'y ' is not on the curve , represents a ...
... respect to the coordinates xy , x'y ' , is unchanged by this operation . The equation then written above ( which when x'y ' is a point on the curve , represents the tangent at that point ) , when x'y ' is not on the curve , represents a ...
Stranica 91
... respect to the circle of A , B , C , we form a new triangle A'B'C ' called the conjugate triangle , A ' being the pole of BC , B ' of CA , and C ' of AB . In the particular case where the polars of A , B , C respectively are BC , CA ...
... respect to the circle of A , B , C , we form a new triangle A'B'C ' called the conjugate triangle , A ' being the pole of BC , B ' of CA , and C ' of AB . In the particular case where the polars of A , B , C respectively are BC , CA ...
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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