A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 oldal |
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1 - 5 találat összesen 36 találatból.
viii. oldal
... respect to a series of Confocal Conics 209 If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan P'FO 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 P'FO is constant ( see also p . 331 ) 210 PAGE Locus of intersection of Normals at extremities of a viii CONTENTS .
ix. oldal
... respect to an Equilateral Hyperbola passes through centre ( see also p . 322 ) 214 • 215 215 Locus of intersection of Tangenta which make a given Intercept on a given Tangent · Locus of Centre , given four Tangents ( see also pp . 254 ...
... respect to an Equilateral Hyperbola passes through centre ( see also p . 322 ) 214 • 215 215 Locus of intersection of Tangenta which make a given Intercept on a given Tangent · Locus of Centre , given four Tangents ( see also pp . 254 ...
xii. oldal
... 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 ...
83. oldal
... 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 ...
91. oldal
... 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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Más kiadások - Összes megtekintése
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2016 |
Gyakori szavak és kifejezések
anharmonic ratio asymptotes ax² axes bisected bisectors centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal express find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points 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 right angles right line second degree sides square substituting tangential equation theorem transform trilinear coordinates values vanish vertex vertices
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