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 страници |
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Страница iv
... Properties of a Quadrilateral proved ( see also p . 305 ) Homologous triangles : Centre and Axis of Homology Condition that two Lines should be mutually perpendicular Length of Perpendicular on a Line Angle between two Lines ...
... Properties of a Quadrilateral proved ( see also p . 305 ) Homologous triangles : Centre and Axis of Homology Condition that two Lines should be mutually perpendicular Length of Perpendicular on a Line Angle between two Lines ...
Страница v
... - ordinates of Point on Circle by auxiliary Angle Problems where a variable Line always touches a Circle Examples on Circle solved by Polar Co - ordinates 93 94 95 96 CHAPTER VIII . PROPERTIES OF TWO OR MORE CIRCLES . CONTENTS . A.
... - ordinates of Point on Circle by auxiliary Angle Problems where a variable Line always touches a Circle Examples on Circle solved by Polar Co - ordinates 93 94 95 96 CHAPTER VIII . PROPERTIES OF TWO OR MORE CIRCLES . CONTENTS . A.
Страница vi
... PROPERTIES OF TWO OR MORE CIRCLES . PAGE Equation of radical Axis of two Circles 98 · Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles 99 99 Properties of system of Circles having common ...
... PROPERTIES OF TWO OR MORE CIRCLES . PAGE Equation of radical Axis of two Circles 98 · Locus of Points whence Tangents to two Circles have a given Ratio Radical Centre of three Circles 99 99 Properties of system of Circles having common ...
Страница vii
... Properties 161 CONJUGATE DIAMETERS : their Properties ( see also p . 154 ) 162 163 · Length of central Perpendicular on Tangent 164 Angle between Conjugate Diameters 164 Locus of intersection of Tangents which cut at right Angles ( see ...
... Properties 161 CONJUGATE DIAMETERS : their Properties ( see also p . 154 ) 162 163 · Length of central Perpendicular on Tangent 164 Angle between Conjugate Diameters 164 Locus of intersection of Tangents which cut at right Angles ( see ...
Страница viii
... 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 intersection ...
... 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 intersection ...
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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