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
... Condition that three Lines may 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 ...
... Condition that three Lines may 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 ...
Página v
... Condition that Equation of second Degree should represent Right Lines ( see also pp . 144 , 148 , 150 , 255 ) Number of conditions that higher Equations may represent Right Lines Number of terms in Equation of nth Degree CHAPTER VI ...
... Condition that Equation of second Degree should represent Right Lines ( see also pp . 144 , 148 , 150 , 255 ) Number of conditions that higher Equations may represent Right Lines Number of terms in Equation of nth Degree CHAPTER VI ...
Página vii
... Condition that a given Line should touch a Conic ( see also pp . 255 , 328 ) Locus of centre of Conic through four Points ( see also pp . 243 , 260 , 290 , 308 ) CHAPTER XI . CENTRAL EQUATIONS . PAGE 133 134 135 138 139 140 141 141 142 ...
... Condition that a given Line should touch a Conic ( see also pp . 255 , 328 ) Locus of centre of Conic through four Points ( see also pp . 243 , 260 , 290 , 308 ) CHAPTER XI . CENTRAL EQUATIONS . PAGE 133 134 135 138 139 140 141 141 142 ...
Página ix
... Condition that Conics should be similar , but not similarly placed CONTACT OF CONICS 203 · 204 204 204 205 205 206 ... Condition that four Points of a Conic should lie on a Circle Relation between three Points whose osculating Circles ...
... Condition that Conics should be similar , but not similarly placed CONTACT OF CONICS 203 · 204 204 204 205 205 206 ... Condition that four Points of a Conic should lie on a Circle Relation between three Points whose osculating Circles ...
Página xi
... Condition that two Lines should be conjugate 256 Condition that a Line should tonch a Conic ( see also pp . 147 , 328 ) 255 Hearn's Method of finding Locus of Centre of a Conic , four conditions being given 256 Equation of pair of ...
... Condition that two Lines should be conjugate 256 Condition that a Line should tonch a Conic ( see also pp . 147 , 328 ) 255 Hearn's Method of finding Locus of Centre of a Conic , four conditions being given 256 Equation of pair 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