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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Resultat 1-5 av 58
Side x
... Pole of the Line at infinity ( see also p . 272 ) , Equation of the Axes , how found , • Functions of the Coefficients which are unaltered by transformation , Sum of Squares of Reciprocals of Semidiameters at right Angles is constant ...
... Pole of the Line at infinity ( see also p . 272 ) , Equation of the Axes , how found , • Functions of the Coefficients which are unaltered by transformation , Sum of Squares of Reciprocals of Semidiameters at right Angles is constant ...
Side xi
... Pole , 168 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord , 168 Polar Equation : Focus being Pole , Segments of Focal Chord have constant Harmonic Mean , Origin of names Parabola , Hyperbola , and Ellipse ...
... Pole , 168 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord , 168 Polar Equation : Focus being Pole , Segments of Focal Chord have constant Harmonic Mean , Origin of names Parabola , Hyperbola , and Ellipse ...
Side xii
... Pole with respect to a series of Confocal Conics , If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan P'FO is constant ( see also p . 315 ) , 189 190 191 191 Locus of intersection of Normals at extremities of a ...
... Pole with respect to a series of Confocal Conics , If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan P'FO is constant ( see also p . 315 ) , 189 190 191 191 Locus of intersection of Normals at extremities of a ...
Side xiv
... Pole of a fixed Point , or Envelope of Polar of fixed Line , Equation of Asymptotes to a Conic , 241 243 Lines joining corresponding Vertices of Conjugate Triangles meet in a Point , Hearn's Method of finding Locus of Centre of a Conic ...
... Pole of a fixed Point , or Envelope of Polar of fixed Line , Equation of Asymptotes to a Conic , 241 243 Lines joining corresponding Vertices of Conjugate Triangles meet in a Point , Hearn's Method of finding Locus of Centre of a Conic ...
Side 9
... pole ; and this method is called the method of polar co - ordinates . It is very easy , being given the x and y co - ordinates of a point , to find its polar ones , or Y vice versa . First , let the fixed line coin- cide with the axis ...
... pole ; and this method is called the method of polar co - ordinates . It is very easy , being given the x and y co - ordinates of a point , to find its polar ones , or Y vice versa . First , let the fixed line coin- cide with the axis ...
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Andre utgaver - Vis alle
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 axis bisected centre chord of contact chords of intersection circumscribing common tangents conic having double conic section conic touching conjugate diameters constant ratio corresponding Cy² directrix double contact drawn Edition ellipse envelope equal find the equation find the locus fixed line fixed point 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 origin parabola parallel Pascal's theorem perpendicular plane point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree square substituting subtended theorem triangle vertex vertices vols
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