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 |
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Página iv
... Sides , and of Perpendiculars at Equation of Line at infinity · Cartesian Equations a case of Trilinear Tangential Co - ordinates Reciprocal Theorems CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
... Sides , and of Perpendiculars at Equation of Line at infinity · Cartesian Equations a case of Trilinear Tangential Co - ordinates Reciprocal Theorems CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
Página vii
... infinity Distinction of Ellipse , Hyperbola , and Parabola Co - ordinates of centre of Conic Equations of Diameters Diameters of parabola meet curve at infinity Conjugate diameters Equation of a Tangent Equation of a Polar Class of a ...
... infinity Distinction of Ellipse , Hyperbola , and Parabola Co - ordinates of centre of Conic Equations of Diameters Diameters of parabola meet curve at infinity Conjugate diameters Equation of a Tangent Equation of a Polar Class of a ...
Página viii
... infinity Intercept on Axis by two Lines , equal to projection of distance between their Poles 189 190 · Subnormal Constant Locus of foot of Perpendicular from Focus on Tangent 191 193 • Locus of intersection of Tangents which cut at ...
... infinity Intercept on Axis by two Lines , equal to projection of distance between their Poles 189 190 · Subnormal Constant Locus of foot of Perpendicular from Focus on Tangent 191 193 • Locus of intersection of Tangents which cut at ...
Página ix
... infinity ( see also p . 317 ) 221 • 222 222 • 223 223 224 PAGR if concentric , touch at infinity Similar and similarly CONTENTS . ix.
... infinity ( see also p . 317 ) 221 • 222 222 • 223 223 224 PAGR if concentric , touch at infinity Similar and similarly CONTENTS . ix.
Página x
... infinity Similar and similarly placed Conics have common Points at infinity · All Circles have imaginary common Points at infinity ( see also p . 313 ) Form of Equation referred to a self - conjugate Triangle ( see also p . 242 ) Conics ...
... infinity Similar and similarly placed Conics have common Points at infinity · All Circles have imaginary common Points at infinity ( see also p . 313 ) Form of Equation referred to a self - conjugate Triangle ( see also p . 242 ) Conics ...
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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