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 страници |
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Страница v
... Radius Condition that two Circles may be concentric that a Curve should pass through the origin Co - ordinates of Points where a given Line meets a given Circle Imaginary Points General definition of Tangents 75 76 77 77 77 77 78 ...
... Radius Condition that two Circles may be concentric that a Curve should pass through the origin Co - ordinates of Points where a given Line meets a given Circle Imaginary Points General definition of Tangents 75 76 77 77 77 77 78 ...
Страница vi
... Radius are given Distance between two Points expressed in Trilinear Co - ordinates Determinant Notation • Determinant expressions for Equations of Circles through three Points , or cutting three at right Angles Relation connecting ...
... Radius are given Distance between two Points expressed in Trilinear Co - ordinates Determinant Notation • Determinant expressions for Equations of Circles through three Points , or cutting three at right Angles Relation connecting ...
Страница ix
... Radius of Circle circumscribing an inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates ...
... Radius of Circle circumscribing an inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates ...
Страница xiii
... Radius of Circle circumscribing inscribed Triangle 319 319 319 320 · • 321 CHAPTER XVIII . INVARIANTS AND COVARIANTS . Equation of Chords of Intersection of two Conics 322 Locus of Intersection of Normals to a Conic at the extremities ...
... Radius of Circle circumscribing inscribed Triangle 319 319 319 320 · • 321 CHAPTER XVIII . INVARIANTS AND COVARIANTS . Equation of Chords of Intersection of two Conics 322 Locus of Intersection of Normals to a Conic at the extremities ...
Страница 9
... radius vector ; the fixed point is called the pole ; and this method is called the method of polar co- ordinates . θ B It is very easy , being given the x and y co - ordinates of a point , to find its polar ones , or vice versâ . C ...
... radius vector ; the fixed point is called the pole ; and this method is called the method of polar co- ordinates . θ B It is very easy , being given the x and y co - ordinates of a point , to find its polar ones , or vice versâ . C ...
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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