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 iv
... Sides of a Triangle are cut by any Transversal 35 by Lines through the Vertices which meet in a point Polar Equation of a Right Line 2221888 31 32 32 33 34 36 36 CHAPTER III . EXAMPLES ON THE RIGHT LINE . Investigation of rectilinear ...
... Sides of a Triangle are cut by any Transversal 35 by Lines through the Vertices which meet in a point Polar Equation of a Right Line 2221888 31 32 32 33 34 36 36 CHAPTER III . EXAMPLES ON THE RIGHT LINE . Investigation of rectilinear ...
Página vi
... sides of Triangle may be given Equation of Tangent to circumscribing Circle at any vertex Tangential Equation of circumscribing Circle Conditions that general Equation should represent a Circle Radical Axis of two Circles in Trilinear ...
... sides of Triangle may be given Equation of Tangent to circumscribing Circle at any vertex Tangential Equation of circumscribing Circle Conditions that general Equation should represent a Circle Radical Axis of two Circles in Trilinear ...
Página x
... sides touch a given Conic , and base Angles move on fixed Lines ( see also pp . 307 , 336 ) 239 • To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 261 , 269 , 289 ) . Generalizations of MacLaurin's ...
... sides touch a given Conic , and base Angles move on fixed Lines ( see also pp . 307 , 336 ) 239 • To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 261 , 269 , 289 ) . Generalizations of MacLaurin's ...
Página xi
... sides touch one another ( see also p . 336 ) 246 • ENVELOPES , how found 247 Examples of Envelopes 248 · Formation ... sides pass through fixed Points , and base Angles move along Conics 260 261 261 To inscribe in a Conic a Triangle ...
... sides touch one another ( see also p . 336 ) 246 • ENVELOPES , how found 247 Examples of Envelopes 248 · Formation ... sides pass through fixed Points , and base Angles move along Conics 260 261 261 To inscribe in a Conic a Triangle ...
Página xiv
... Sides of self - conjugate Triangle common to two Conics ( see also p . 347 ) 335 Envelope of Base of Triangle inscribed in one Conic , two of whose sides touch another 336 • Locus of free Vertex of a Polygon all whose sides touch one ...
... Sides of self - conjugate Triangle common to two Conics ( see also p . 347 ) 335 Envelope of Base of Triangle inscribed in one Conic , two of whose sides touch another 336 • Locus of free Vertex of a Polygon all whose sides touch one ...
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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