A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 sider |
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Side viii
... Equation of Perpendicular on a given Line , Equations of Bisectors of Angles between two given Right Lines , Polar ... infinity , .. Cartesian Equations a case of Trilinear , CHAPTER V. RIGHT LINES . 59 8885 60 61 Meaning of an Equation ...
... Equation of Perpendicular on a given Line , Equations of Bisectors of Angles between two given Right Lines , Polar ... infinity , .. Cartesian Equations a case of Trilinear , CHAPTER V. RIGHT LINES . 59 8885 60 61 Meaning of an Equation ...
Side x
... Line meets a Conic , Equation of a Tangent , . of Lines which meet Conic at infinity , Distinction of Ellipse ... infinity , . Condition that a given Line should touch a Conic ( see also p . 251 ) , Locus of centre of Conic through four ...
... Line meets a Conic , Equation of a Tangent , . of Lines which meet Conic at infinity , Distinction of Ellipse ... infinity , . Condition that a given Line should touch a Conic ( see also p . 251 ) , Locus of centre of Conic through four ...
Side xi
... Lines joining two fixed to variable Point make constant Intercept on Asymptote ,. 173 CHAPTER XII . THE PARABOLA . Transformation of the Equation to the form y2 = px , · Parabola the limit of the Ellipse when one Focus passes to infinity ...
... Lines joining two fixed to variable Point make constant Intercept on Asymptote ,. 173 CHAPTER XII . THE PARABOLA . Transformation of the Equation to the form y2 = px , · Parabola the limit of the Ellipse when one Focus passes to infinity ...
Side xv
... Infinity , 306 • Two Conics may both be projected into Circles , 308 Conic may be projected so as to become a Circle , and so that any given Line may pass to Infinity , Pascal's Theorem proved by Projection , Projection of Properties ...
... Infinity , 306 • Two Conics may both be projected into Circles , 308 Conic may be projected so as to become a Circle , and so that any given Line may pass to Infinity , Pascal's Theorem proved by Projection , Projection of Properties ...
Side 61
... line situated altogether at an infinite distance from the origin . 65. We saw ( Art . 63 ) that a line parallel to the line a = 0 has an equation of the form a + C = 0 . Now the last Article shows that this is only an additional ...
... line situated altogether at an infinite distance from the origin . 65. We saw ( Art . 63 ) that a line parallel to the line a = 0 has an equation of the form a + C = 0 . Now the last Article shows that this is only an additional ...
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Andre utgaver - Vis alle
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
anharmonic ratio asymptotes Ax² axes bisected bisector centre of similitude chord of contact chords of intersection circumscribing coefficients common tangents conic section conjugate diameters constant ratio Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focal radius focus four points given points Hence hyperbola intercept joining the points last Article length line at infinity line joining line meets meet the curve middle points mẞ ordinate origin pair parabola parallel pass perpendicular point of contact point x'y points at infinity points of intersection polar equation pole proved quadrilateral radical axis radius vector rectangle represent right angles right line second degree semidiameter sides square substituting tangent theorem tion touch transform triangle vertex