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 xi
... Focus by a Chord , bisected by Line joining Focus to its Pole , Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord , 168 168 Polar Equation : Focus being Pole , 169 Segments of Focal Chord have constant Harmonic ...
... Focus by a Chord , bisected by Line joining Focus to its Pole , Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord , 168 168 Polar Equation : Focus being Pole , 169 Segments of Focal Chord have constant Harmonic ...
Side xii
... Focus ( see also pp . 195 , 249 , 261 ) , Polar Equation of 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 ...
... Focus ( see also pp . 195 , 249 , 261 ) , Polar Equation of 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 ...
Side xiii
... Focus and Directrix , . PAGE . 211 212 213 213 214 215 216 217 Result of substituting the Co - ordinates of any Point in the Equation of a Conic , . 217 Property of Chords of Intersection of two Conics , each having double contact with ...
... Focus and Directrix , . PAGE . 211 212 213 213 214 215 216 217 Result of substituting the Co - ordinates of any Point in the Equation of a Conic , . 217 Property of Chords of Intersection of two Conics , each having double contact with ...
Side xiv
... Focus of 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 ...
... Focus of 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 ...
Side xv
... Focus of Section of a Right Cone ,. 305 Every Parabola has a Tangent at Infinity , 306 Two Conics may both be projected into Circles , 308 may pass to Infinity , Conic may be projected so as to become a Circle , and so that any given ...
... Focus of Section of a Right Cone ,. 305 Every Parabola has a Tangent at Infinity , 306 Two Conics may both be projected into Circles , 308 may pass to Infinity , Conic may be projected so as to become a Circle , and so that any given ...
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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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