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 xiii
... find their Points of Contact , 218 218 · · 219 219 • If three Conics have a ... Locus of Vertex of Triangle whose sides touch a given Conic , and base ... Locus of Intersection of Tangents to a Parabola which cut at a given Angle , 234 ...
... find their Points of Contact , 218 218 · · 219 219 • If three Conics have a ... Locus of Vertex of Triangle whose sides touch a given Conic , and base ... Locus of Intersection of Tangents to a Parabola which cut at a given Angle , 234 ...
Side xiv
... Locus of Pole of a fixed Point , or Envelope of Polar of fixed Line , · Equation of Asymptotes to a Conic , • Lines joining corresponding Vertices of Conjugate Triangles meet in a Point , Hearn's Method of finding Locus of Centre of a ...
... Locus of Pole of a fixed Point , or Envelope of Polar of fixed Line , · Equation of Asymptotes to a Conic , • Lines joining corresponding Vertices of Conjugate Triangles meet in a Point , Hearn's Method of finding Locus of Centre of a ...
Side 11
... find the case to be similar to the so- lution of a class of geometrical problems , with which the learner is ... locus . So we shall find , that although one equation between the two co - ordinates THE RIGHT LINE . 11.
... find the case to be similar to the so- lution of a class of geometrical problems , with which the learner is ... locus . So we shall find , that although one equation between the two co - ordinates THE RIGHT LINE . 11.
Side 12
... determine a point , it is , however , sufficient to limit it to a certain locus . In fact , the equation asserts , that a certain relation subsists between the co - ordinates of every point repre- sented by it . Now , although this ...
... determine a point , it is , however , sufficient to limit it to a certain locus . In fact , the equation asserts , that a certain relation subsists between the co - ordinates of every point repre- sented by it . Now , although this ...
Side 13
... found as above will form a locus , every point of which satisfies the con- ditions of the equation , and which is , therefore , its geometrical signifi- cation . We see then that every equation we can write down between PPP " a ά a " a ...
... found as above will form a locus , every point of which satisfies the con- ditions of the equation , and which is , therefore , its geometrical signifi- cation . We see then that every equation we can write down between PPP " a ά a " a ...
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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 chord of contact chords of intersection circumscribing common tangents conic having double conic section conjugate diameters constant ratio corresponding Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focal focus four points given conic given points Hence hyperbola infinite distance inscribed intercept joining the points last Article line at infinity line joining line meets meet the curve middle points 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 reciprocal rectangle represent right line second degree sides square substituting tangents theorem triangle values vertex vertices
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