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 страници |
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Страница iv
... meet in a Point ( see also Area of Triangle formed by three given Lines Equation of Line through the Intersection of two given Lines 28 29 30 p . 34 ) • Test that three Equations may represent Right Lines meeting in a point Connexion ...
... meet in a Point ( see also Area of Triangle formed by three given Lines Equation of Line through the Intersection of two given Lines 28 29 30 p . 34 ) • Test that three Equations may represent Right Lines meeting in a point Connexion ...
Страница v
... meets a given Circle Imaginary Points General definition of Tangents 75 76 77 77 77 77 78 Condition that Circle ... meet on its Polar 92 26 • Distances of two Points from the centre , proportional to the distance of each from Polar ...
... meets a given Circle Imaginary Points General definition of Tangents 75 76 77 77 77 77 78 Condition that Circle ... meet on its Polar 92 26 • Distances of two Points from the centre , proportional to the distance of each from Polar ...
Страница vii
... meets a Conic Equation of Lines which meet Conic at infinity Distinction of Ellipse , Hyperbola , and Parabola Co - ordinates of centre of Conic Equations of Diameters Diameters of parabola meet curve at infinity Conjugate diameters ...
... meets a Conic Equation of Lines which meet Conic at infinity Distinction of Ellipse , Hyperbola , and Parabola Co - ordinates of centre of Conic Equations of Diameters Diameters of parabola meet curve at infinity Conjugate diameters ...
Страница ix
... meet Conic again in the same Point 217 • 218 218 9 Co - ordinates of centre of Curvature Evolutes of Conics ( see also pp . 325 , 326 ) . CHAPTER XIV . ABRIDGED NOTATION . Meaning of the Equation SkS ' 219 • 220 Three values of k for ...
... meet Conic again in the same Point 217 • 218 218 9 Co - ordinates of centre of Curvature Evolutes of Conics ( see also pp . 325 , 326 ) . CHAPTER XIV . ABRIDGED NOTATION . Meaning of the Equation SkS ' 219 • 220 Three values of k for ...
Страница x
... meet in a Point When five Lines are given , the five Points so found lie on a Circle Given five Tangents to find their Points of Contact 235 235 236 Mac Laurin's Method of generating Conics ( see also p . 287 ) 236 · Given five Points ...
... meet in a Point When five Lines are given , the five Points so found lie on a Circle Given five Tangents to find their Points of Contact 235 235 236 Mac Laurin's Method of generating Conics ( see also p . 287 ) 236 · Given five Points ...
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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