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
... Tangents to two Circles have a given Ratio Radical Centre of three Circles 99 99 Properties of system of Circles having common ... Common Tangent to two Circles 103 Centres of Similitude 105 • Axis of Similitude 108 Locus of centre of Circle ...
... Tangents to two Circles have a given Ratio Radical Centre of three Circles 99 99 Properties of system of Circles having common ... Common Tangent to two Circles 103 Centres of Similitude 105 • Axis of Similitude 108 Locus of centre of Circle ...
Página x
... common Points at infinity · All Circles have imaginary common Points at infinity ( see also p . 313 ) Form of Equation referred to a self - conjugate Triangle ( see also p . 242 ) Conics having same Focus have two imaginary common tangents ...
... common Points at infinity · All Circles have imaginary common Points at infinity ( see also p . 313 ) Form of Equation referred to a self - conjugate Triangle ( see also p . 242 ) Conics having same Focus have two imaginary common tangents ...
Página xii
... common radical axis Degree of Polar Reciprocal in general Pascal's Theorem ... Tangents Reciprocation of Anharmonic Properties 276 • 275 Carnot's Theorem ... Tangents to Parabola 286 287 How any Tangent cuts two Parallel Tangents 287 ...
... common radical axis Degree of Polar Reciprocal in general Pascal's Theorem ... Tangents Reciprocation of Anharmonic Properties 276 • 275 Carnot's Theorem ... Tangents to Parabola 286 287 How any Tangent cuts two Parallel Tangents 287 ...
Página xiv
... common to two Conics 331 Equation of four common Tangents 332 Their eight Points of Contact lie on a Conic 332 Covariants and Contravariants defined 333 Discriminant of Covariant F , when vanishes 335 How to find equations of Sides of ...
... common to two Conics 331 Equation of four common Tangents 332 Their eight Points of Contact lie on a Conic 332 Covariants and Contravariants defined 333 Discriminant of Covariant F , when vanishes 335 How to find equations of Sides of ...
Página 99
... tangents will be equal . The line ( S - S ' ) possesses this property ... common radical axis . Ex . Find the co - ordinates of the centre of Sk2S ... Tangents to two Circles have a given Ratio Radical Centre of three Circles NORMAL: its ...
... tangents will be equal . The line ( S - S ' ) possesses this property ... common radical axis . Ex . Find the co - ordinates of the centre of Sk2S ... Tangents to two Circles have a given Ratio Radical Centre of three Circles NORMAL: its ...
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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