A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 sider |
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Side x
... Parabola , 124 Co - ordinates of centre of Conic , . 126 Equations of Diameters , 127 Conjugate Diameters , 129 Equation of Polars , 131 Harmonic Property of Polars ( see also p . 272 ) , 132 Polar properties of inscribed Quadrilateral ...
... Parabola , 124 Co - ordinates of centre of Conic , . 126 Equations of Diameters , 127 Conjugate Diameters , 129 Equation of Polars , 131 Harmonic Property of Polars ( see also p . 272 ) , 132 Polar properties of inscribed Quadrilateral ...
Side xi
... PARABOLA . Transformation of the Equation to the form y2 = px , · Parabola the limit of the Ellipse when one Focus passes to infinity , 176 . 178 Expression for Parameter of Parabola given by general Equation , 179 ditto , given lengths ...
... PARABOLA . Transformation of the Equation to the form y2 = px , · Parabola the limit of the Ellipse when one Focus passes to infinity , 176 . 178 Expression for Parameter of Parabola given by general Equation , 179 ditto , given lengths ...
Side xii
... Parabola , 187 187 CHAPTER XIII . EXAMPLES ON CONICS . Loci , Focal Properties , Locus of Pole with respect to a series of Confocal Conics , 189 190 191 If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan PFO is ...
... Parabola , 187 187 CHAPTER XIII . EXAMPLES ON CONICS . Loci , Focal Properties , Locus of Pole with respect to a series of Confocal Conics , 189 190 191 If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan PFO is ...
Side xiii
... Parabola has a Tangent at infinity ( see also p . 306 ) , Similar and similarly placed Conics have common Points at infinity , if concentric , touch at infinity , all Circles have imaginary common Points at infinity , Anharmonic ...
... Parabola has a Tangent at infinity ( see also p . 306 ) , Similar and similarly placed Conics have common Points at infinity , if concentric , touch at infinity , all Circles have imaginary common Points at infinity , Anharmonic ...
Side xiv
... Parabola touching three fixed Lines , Discriminants , • Condition that a Line should touch a Conic , Condition that two Conics should touch each other , CHAPTER XV . METHOD OF RECIPROCAL POLARS , Degree of Reciprocal in general , To ...
... Parabola touching three fixed Lines , Discriminants , • Condition that a Line should touch a Conic , Condition that two Conics should touch each other , CHAPTER XV . METHOD OF RECIPROCAL POLARS , Degree of Reciprocal in general , To ...
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
anharmonic ratio asymptotes Ax² axes bisected bisector chord of contact chords of intersection circumscribing common tangents conic having double conic section conjugate diameters constant ratio corresponding Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focal focus four points given conic given points Hence hyperbola infinite distance inscribed intercept joining the points last Article line at infinity line joining line meets meet the curve middle points origin pair parabola parallel pass perpendicular point of contact point x'y points at infinity points of intersection polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle represent right line second degree sides square substituting tangents theorem triangle values vertex vertices
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