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 vii
... variable tangent on two parallel tangents ( see also pp . 275 , 287 ) 167 · . Or on two conjugate diameters 167 Given two conjugate diameters to find the axes 168 PAGE NORMAL : its Properties To draw a Normal through CONTENTS . vii.
... variable tangent on two parallel tangents ( see also pp . 275 , 287 ) 167 · . Or on two conjugate diameters 167 Given two conjugate diameters to find the axes 168 PAGE NORMAL : its Properties To draw a Normal through CONTENTS . vii.
Página viii
... NORMAL : its Properties To draw a Normal through a given Point ( see also p . 323 ) Chord subtending a right Angle at any Point on Conic passes through a fixed Point on Normal ( see also pp . 259 , 273 ) 168 169 · 170 Co - ordinates of ...
... NORMAL : its Properties To draw a Normal through a given Point ( see also p . 323 ) Chord subtending a right Angle at any Point on Conic passes through a fixed Point on Normal ( see also pp . 259 , 273 ) 168 169 · 170 Co - ordinates of ...
Página ix
... Normal Co - ordinates of intersection of two Normals 202 • 203 Tangent 9 • · • Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 326 ) Given three Points on Equilateral Hyperbola ...
... Normal Co - ordinates of intersection of two Normals 202 • 203 Tangent 9 • · • Locus of intersection of Normals at the extremities of Chords passing through a given Point ( see also p . 326 ) Given three Points on Equilateral Hyperbola ...
Página xiii
... Normals to a Conic at the extremities of Chords passing through a given Point 323 Condition that two Conics should touch 324 Criterion whether Conies intersect in two real and two imaginary Points or not 325 Equation of Curve parallel ...
... Normals to a Conic at the extremities of Chords passing through a given Point 323 Condition that two Conics should touch 324 Criterion whether Conies intersect in two real and two imaginary Points or not 325 Equation of Curve parallel ...
Página 99
... the equations of the three radical axes are S PROPERTIES OF A SYSTEM OF TWO OR MORE CIRCLES . 99 Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles NORMAL: its Properties.
... the equations of the three radical axes are S PROPERTIES OF A SYSTEM OF TWO OR MORE CIRCLES . 99 Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles NORMAL: its Properties.
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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