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 ix
... CIRCLE . PAGE . Equation of Circle , . • 70 Conditions that general Equation may represent a Circle , that two Circles may be concentric , Co - ordinates of Points where a given Line meets a given Circle , Imaginary Points ...
... CIRCLE . PAGE . Equation of Circle , . • 70 Conditions that general Equation may represent a Circle , that two Circles may be concentric , Co - ordinates of Points where a given Line meets a given Circle , Imaginary Points ...
Side x
... Circles cutting two Circles at constant Angles , Common Tangent to two Circles , 103 104 105 106 107 · 108 108 Centres of Similitude , 110 • • Axis of similitude , 112 To describe a Circle touching three given Circles ( see also p . 266 ) ...
... Circles cutting two Circles at constant Angles , Common Tangent to two Circles , 103 104 105 106 107 · 108 108 Centres of Similitude , 110 • • Axis of similitude , 112 To describe a Circle touching three given Circles ( see also p . 266 ) ...
Side xii
... Circle circumscribing Triangle formed by three Tangents passes through Focus ( see also pp . 195 , 249 , 261 ) , · Polar Equation of Parabola , CHAPTER XIII . EXAMPLES ON CONICS . • 187 187 Loci , Focal Properties , Locus of Pole with ...
... Circle circumscribing Triangle formed by three Tangents passes through Focus ( see also pp . 195 , 249 , 261 ) , · Polar Equation of Parabola , CHAPTER XIII . EXAMPLES ON CONICS . • 187 187 Loci , Focal Properties , Locus of Pole with ...
Side xv
... Circles , 298 299 301 • • 304 · 305 305 306 308 308 • 309 310 311 313 . • 315 315 316 Conic may be projected so as to become a Circle , and so that any given Line may pass to Infinity , • Pascal's Theorem proved by Projection ...
... Circles , 298 299 301 • • 304 · 305 305 306 308 308 • 309 310 311 313 . • 315 315 316 Conic may be projected so as to become a Circle , and so that any given Line may pass to Infinity , • Pascal's Theorem proved by Projection ...
Side 70
... axes in questions relating to circles . COR . 1. — The equation to rectangular axes of the circle whose centre is the origin is x2 + y2 = r2 . COR . 2. - Let the axis of x be 70 THE CIRCLE . THE CIRCLE PAGE Equation of Circle,
... axes in questions relating to circles . COR . 1. — The equation to rectangular axes of the circle whose centre is the origin is x2 + y2 = r2 . COR . 2. - Let the axis of x be 70 THE CIRCLE . THE CIRCLE PAGE Equation of Circle,
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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 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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