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 vii
... Hyperbola 163 • Conjugate Hyperbola 164 Asymptotes defined 155 , 164 Eccentricity of a Conic given by general Equation 164 Equations for Tangents and Polars 165 , 166 Expression for Angle between two Tangents to a Conic ( see also p ...
... Hyperbola 163 • Conjugate Hyperbola 164 Asymptotes defined 155 , 164 Eccentricity of a Conic given by general Equation 164 Equations for Tangents and Polars 165 , 166 Expression for Angle between two Tangents to a Conic ( see also p ...
Stranica viii
... Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS ASYMPTOTES : how found 186 • 186 190 191 Intercepts on Chord between Curve and Asymptotes are equal Lines joining two fixed to variable Point make constant Intercept on ...
... Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS ASYMPTOTES : how found 186 • 186 190 191 Intercepts on Chord between Curve and Asymptotes are equal Lines joining two fixed to variable Point make constant Intercept on ...
Stranica ix
... Hyperbola , a fourth is given ( see also p . 290 ) Circle circumscribing any self - conjugate Triangle with respect to an Equilateral Hyperbola passes through centre ( see also p . 322 ) Locus of intersection of Tangents which make a ...
... Hyperbola , a fourth is given ( see also p . 290 ) Circle circumscribing any self - conjugate Triangle with respect to an Equilateral Hyperbola passes through centre ( see also p . 322 ) Locus of intersection of Tangents which make a ...
Stranica xii
... Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · • Relation ... Hyperbola Axes of Reciprocal , how found Reciprocal of Properties of Confocal Conics To describe a Circle touching ...
... Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 285 286 · • Relation ... Hyperbola Axes of Reciprocal , how found Reciprocal of Properties of Confocal Conics To describe a Circle touching ...
Stranica xiii
... Hyperbola , or Parabola 327 • Origin of these Names 828 Every Parabola has a Tangent at an infinite Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity · 330 Determination ...
... Hyperbola , or Parabola 327 • Origin of these Names 828 Every Parabola has a Tangent at an infinite Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity · 330 Determination ...
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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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