A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica iv
... Polar Equation of a Right Line • CHAPTER III . EXAMPLES ON THE RIGHT LINE . Investigation of Rectilinear Loci of Loci leading to Equations of Higher Degree Problems where it is proved that a Moveable Line always passes through a Fixed ...
... Polar Equation of a Right Line • CHAPTER III . EXAMPLES ON THE RIGHT LINE . Investigation of Rectilinear Loci of Loci leading to Equations of Higher Degree Problems where it is proved that a Moveable Line always passes through a Fixed ...
Stranica v
... Polar of a Point with regard to a Circle or Conic Length of Tangent to a Circle · · Line cut harmonically by a Circle , Point , and its Polar Equation of pair of Tangents from a given Point to a Circle . Circle through three Points ...
... Polar of a Point with regard to a Circle or Conic Length of Tangent to a Circle · · Line cut harmonically by a Circle , Point , and its Polar Equation of pair of Tangents from a given Point to a Circle . Circle through three Points ...
Stranica vii
... Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) Equation of pair of Tangents from given Point to a Conic ( see also p . 269 ) Rectangles ...
... Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) Equation of pair of Tangents from given Point to a Conic ( see also p . 269 ) Rectangles ...
Stranica viii
... Polar Equation , Focus being Pole Segments of Focal Chord have constant Harmonic Mean 183 183 • • 184 185 • Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS ASYMPTOTES : how found 186 • 186 190 191 ...
... Polar Equation , Focus being Pole Segments of Focal Chord have constant Harmonic Mean 183 183 • • 184 185 • Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS ASYMPTOTES : how found 186 • 186 190 191 ...
Stranica xi
... Polar of a Point with regard to a Conic given by the general Equation 265 • · DISCRIMINANTS defined ; discriminant of a Conic found ( see also pp . 72 , 149 , 153 , 155 ) 266 • · • Coordinates of Pole of a given Line 266 Condition that ...
... Polar of a Point with regard to a Conic given by the general Equation 265 • · DISCRIMINANTS defined ; discriminant of a Conic found ( see also pp . 72 , 149 , 153 , 155 ) 266 • · • Coordinates of Pole of a given Line 266 Condition that ...
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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