A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 páginas |
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Página vi
... inscribed in a Triangle Its Tangential Equation Equation of inscribed Circle derived from that of circumscribing Length of Tangent to a Circle in Trilinear Co - ordinates 116 118 118 119 119 · 120 121 122 122 124 125 127 126 , 128 , 301 ...
... inscribed in a Triangle Its Tangential Equation Equation of inscribed Circle derived from that of circumscribing Length of Tangent to a Circle in Trilinear Co - ordinates 116 118 118 119 119 · 120 121 122 122 124 125 127 126 , 128 , 301 ...
Página vii
... inscribed Quadrilateral ( see also p . 307 ) Equation of pair of Tangents from given Point to a Conic ( see also p . 257 ) Rectangles under segments of parallel chords in constant ratio to each other Case where one of the lines meets ...
... inscribed Quadrilateral ( see also p . 307 ) Equation of pair of Tangents from given Point to a Conic ( see also p . 257 ) Rectangles under segments of parallel chords in constant ratio to each other Case where one of the lines meets ...
Página ix
... inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of intersection of two Normals 202 ...
... inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of intersection of two Normals 202 ...
Página x
... inscribed quadrilateral 225 · 226 227 227 228 228 228 • Anharmonic Property of Conics proved ( see also pp . 240 , 276 , 306 ) Extension of Property of Focus and Directrix 229 229 • Result of substituting the Co - ordinates of any Point ...
... inscribed quadrilateral 225 · 226 227 227 228 228 228 • Anharmonic Property of Conics proved ( see also pp . 240 , 276 , 306 ) Extension of Property of Focus and Directrix 229 229 • Result of substituting the Co - ordinates of any Point ...
Página xi
... inscribed in one Conic , and whose sides touch one another ( see also p . 336 ) 246 • ENVELOPES , how found 247 ... inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 239 , 269 , 289 ) 261 · Equation of ...
... inscribed in one Conic , and whose sides touch one another ( see also p . 336 ) 246 • ENVELOPES , how found 247 ... inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 239 , 269 , 289 ) 261 · Equation of ...
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Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length 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 rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices