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 v
... EXAMPLES ON CIRCLE . Circular Loci 88 Condition that intercept by Circle on a given Line may subtend a right Angle at a given Point If a Point A lie on the polar of B , B lies on the polar of RE 90 91 Conjugate and self - conjugate ...
... EXAMPLES ON CIRCLE . Circular Loci 88 Condition that intercept by Circle on a given Line may subtend a right Angle at a given Point If a Point A lie on the polar of B , B lies on the polar of RE 90 91 Conjugate and self - conjugate ...
Página ix
... Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 , 263 , 278 , 329 ) 201 Area of Triangle formed by three Tangents 201 Radius of Circle ...
... Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 , 263 , 278 , 329 ) 201 Area of Triangle formed by three Tangents 201 Radius of Circle ...
Página xi
... Examples of Envelopes 248 · Formation of Trilinear Equation of a Conic from Tangential , and vice versa Criterion whether a Point be within or without a Conic 249 250 Discriminant of Tangential Equation 250 Given two points of a Conic ...
... Examples of Envelopes 248 · Formation of Trilinear Equation of a Conic from Tangential , and vice versa Criterion whether a Point be within or without a Conic 249 250 Discriminant of Tangential Equation 250 Given two points of a Conic ...
Página 1
... example , that we are given PN = a , PM = b , Now , if Y P N X ' X M Y we need only measure OM = a and ON = b , and draw the parallels PM , PN which will intersect in the point required . It is usual to denote PM parallel to OY by the ...
... example , that we are given PN = a , PM = b , Now , if Y P N X ' X M Y we need only measure OM = a and ON = b , and draw the parallels PM , PN which will intersect in the point required . It is usual to denote PM parallel to OY by the ...
Página 4
... example , were in the angle XOY ' , the sign of y " would be changed , and the line PS would be the sum and not the difference of y ' and y " . The learner will find no difficulty , if , having written the co- ordinates with their ...
... example , were in the angle XOY ' , the sign of y " would be changed , and the line PS would be the sum and not the difference of y ' and y " . The learner will find no difficulty , if , having written the co- ordinates with their ...
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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