A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 páginas |
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Página iv
... 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 Point · Centre of Mean Position of a series of ...
... 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 Point · Centre of Mean Position of a series of ...
Página v
... EXAMPLES ON CIRCLE . PAGE 67 · 68 69 70 71 ས ** 72 74 74 75 75 76 77 77 • 77 77 78 79 80 , 81 81 82 , 83 84 85 85 86 86 • 87 Circular Loci Condition that intercept by Circle on a given Line may subtend a right Angle at a given Point ...
... EXAMPLES ON CIRCLE . PAGE 67 · 68 69 70 71 ས ** 72 74 74 75 75 76 77 77 • 77 77 78 79 80 , 81 81 82 , 83 84 85 85 86 86 • 87 Circular Loci Condition that intercept by Circle on a given Line may subtend a right Angle at a given Point ...
Página viii
... EXAMPLES ON CONICS . Loci 208 Focal Properties 209 • Locus of Pole with respect to a series of Confocal Conics 209 If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan P'FO is constant ( see also p . 331 ) 210 PAGE ...
... EXAMPLES ON CONICS . Loci 208 Focal Properties 209 • Locus of Pole with respect to a series of Confocal Conics 209 If a Chord of a Conic pass through a fixed Point O , then tan PFO . tan P'FO is constant ( see also p . 331 ) 210 PAGE ...
Página xi
... Examples of Envelopes 259 Formation of Trilinear Equation of a Conic from Tangential , and vice versa Criterion whether a Point be within or without a Conic 260 261 · Discriminant of Tangential Equation 262 Given two points of a Conic ...
... Examples of Envelopes 259 Formation of Trilinear Equation of a Conic from Tangential , and vice versa Criterion whether a Point be within or without a Conic 260 261 · Discriminant of Tangential Equation 262 Given two points of a Conic ...
Página 1
... example , that we are given PN = a , PM = b , X ' Y Now , if Y P N X Ο M we need only measure OM = a and ON = b , and draw the parallels PM , PN , which will intersect in the point required . It is usual to denote PM parallel to OY by ...
... example , that we are given PN = a , PM = b , X ' Y Now , if Y P N X Ο M we need only measure OM = a and ON = b , and draw the parallels PM , PN , which will intersect in the point required . It is usual to denote PM parallel to OY by ...
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Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors by² centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article 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 reciprocal rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices
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