A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 páginas |
Dentro del libro
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Página iv
... Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Co ... Fixed point · Centre of Mean Position of a series of Points Right Line passes through a Fixed Point if Constants in its ...
... Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Co ... Fixed point · Centre of Mean Position of a series of Points Right Line passes through a Fixed Point if Constants in its ...
Página viii
... Point on Conic passes through a fixed Point on Normal ( see also pp . 259 , 273 ) 168 169 · 170 Co - ordinates of intersection of two Normals 170 • Properties of Foci 171 Sum or difference of Focal Radii constant 172 Property of Focus ...
... Point on Conic passes through a fixed Point on Normal ( see also pp . 259 , 273 ) 168 169 · 170 Co - ordinates of intersection of two Normals 170 • Properties of Foci 171 Sum or difference of Focal Radii constant 172 Property of Focus ...
Página x
... point of Conie on sides of inscribed quadrilateral 225 · 226 227 227 228 228 228 • Anharmonic Property of Conics ... fixed Lines ( see also pp . 307 , 336 ) 239 • To inscribe in a Conic a Triangle whose sides pass through fixed Points ...
... point of Conie on sides of inscribed quadrilateral 225 · 226 227 227 228 228 228 • Anharmonic Property of Conics ... fixed Lines ( see also pp . 307 , 336 ) 239 • To inscribe in a Conic a Triangle whose sides pass through fixed Points ...
Página xi
... Point be within or without a Conic 249 250 Discriminant of Tangential Equation 250 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 251 · • 251 touching four ...
... Point be within or without a Conic 249 250 Discriminant of Tangential Equation 250 Given two points of a Conic having double contact with a third , its Chord of contact passes through one or two fixed Points 251 · • 251 touching four ...
Página xii
... fixed Points to a variable Point , how cut any Parallel to Asymptote 284 285 • · Parallels to Asymptotes through any Point on Curve , how cut any Diameter Anharmonic property of Tangents to Parabola 286 287 How any Tangent cuts two ...
... fixed Points to a variable Point , how cut any Parallel to Asymptote 284 285 • · Parallels to Asymptotes through any Point on Curve , how cut any Diameter Anharmonic property of Tangents to Parabola 286 287 How any Tangent cuts two ...
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Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length 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 polar equation pole proved quadratic quadrilateral radical axis radius vector rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices