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 iii
... Perpendicular on it from Origin , and the Angles it makes with Axes Expression for the Angles a Line makes with Axes ... Perpendicular on a given Line of Perpendiculars of Triangle • • of Perpendiculars at Middle Points of Sides of Line ...
... Perpendicular on it from Origin , and the Angles it makes with Axes Expression for the Angles a Line makes with Axes ... Perpendicular on a given Line of Perpendiculars of Triangle • • of Perpendiculars at Middle Points of Sides of Line ...
Página iv
... perpendicular Length of Perpendicular on a Line Angle between two Lines Perpendiculars at middle Points of Sides meet in a Point Trilinear Co - ordinates Trilinear Equation of Parallel to a given Line of Line joining two Points 89 47 ...
... perpendicular Length of Perpendicular on a Line Angle between two Lines Perpendiculars at middle Points of Sides meet in a Point Trilinear Co - ordinates Trilinear Equation of Parallel to a given Line of Line joining two Points 89 47 ...
Página vii
... Perpendicular on Tangent 164 Angle between Conjugate Diameters 164 Locus of intersection of Tangents which cut at right Angles ( see also pp . 161 , 258 , 339 ) . 166 Supplemental Chords 166 To construct a pair of Conjugate Diameters ...
... Perpendicular on Tangent 164 Angle between Conjugate Diameters 164 Locus of intersection of Tangents which cut at right Angles ( see also pp . 161 , 258 , 339 ) . 166 Supplemental Chords 166 To construct a pair of Conjugate Diameters ...
Página viii
... Perpendicular on Tangent 176 · Angle subtended at the Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 244 , 272 ) 177 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord Polar ...
... Perpendicular on Tangent 176 · Angle subtended at the Focus by a Chord , bisected by Line joining Focus to its Pole ( see also pp . 244 , 272 ) 177 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord Polar ...
Página ix
... Perpendicular from Focus on 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 ...
... Perpendicular from Focus on 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 ...
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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