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
... determine a Conic Transformation to Parallel Axes of Equation of second Degree 131 132 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
... determine a Conic Transformation to Parallel Axes of Equation of second Degree 131 132 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
Página vii
... determines Points where Line 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 ...
... determines Points where Line 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 ...
Página 1
... determining the position of any point on a plane was introduced by Des Cartes in his Géométrie , 1637 ; and has been ... determined by the two equations xa , y = b . 2. The parallels PM , PN are called the co - ordinates of the point P ...
... determining the position of any point on a plane was introduced by Des Cartes in his Géométrie , 1637 ; and has been ... determined by the two equations xa , y = b . 2. The parallels PM , PN are called the co - ordinates of the point P ...
Página 4
... determine the two unknown quantities x , y . √ ( 50 ) Ans . x = , y , and the common distance is 3 6. The distance between two points , being expressed in the form of a square root , is necessarily susceptible of a double sign . If the ...
... determine the two unknown quantities x , y . √ ( 50 ) Ans . x = , y , and the common distance is 3 6. The distance between two points , being expressed in the form of a square root , is necessarily susceptible of a double sign . If the ...
Página 5
... determine , then m : n :: PR : RQ :: MS : SN , or - m : n :: x ' x : x - x " , - or mx - mx " = nx ' — nx , hence x = mx " + nx ' m + n In like manner Qxy " R Pry N S M my " + ny ' y = m + n If the line were to be cut externally in the ...
... determine , then m : n :: PR : RQ :: MS : SN , or - m : n :: x ' x : x - x " , - or mx - mx " = nx ' — nx , hence x = mx " + nx ' m + n In like manner Qxy " R Pry N S M my " + ny ' y = m + n If the line were to be cut externally in the ...
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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