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 iv
... Centre of Mean Position of a series of Points Right Line passes through a Fixed Point if Constants in its Equation be connected by a Linear Relation Loci solved by Polar Co - ordinates · · CHAPTER IV . THE RIGHT LINE - ABRIDGED NOTATION ...
... Centre of Mean Position of a series of Points Right Line passes through a Fixed Point if Constants in its Equation be connected by a Linear Relation Loci solved by Polar Co - ordinates · · CHAPTER IV . THE RIGHT LINE - ABRIDGED NOTATION ...
Страница v
... Centre and 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 ...
... Centre and 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 ...
Страница vi
... Centres of Similitude 105 • Axis of Similitude 108 Locus of centre of Circle cutting three given Circles at equal Angles 108 · To describe a Circle touching three given Circles ( see also pp . 115 , 130 , 279 ) Mr. Casey's Solution of ...
... Centres of Similitude 105 • Axis of Similitude 108 Locus of centre of Circle cutting three given Circles at equal Angles 108 · To describe a Circle touching three given Circles ( see also pp . 115 , 130 , 279 ) Mr. Casey's Solution of ...
Страница vii
... centre of Conic through four Points ( see also pp . 243 , 260 , 290 , 308 ) CHAPTER XI . CENTRAL EQUATIONS . PAGE 133 134 135 138 139 140 141 141 142 · 142 143 . 143 144 • 145 146 • 147 148 Transformation of general Equation to the centre ...
... centre of Conic through four Points ( see also pp . 243 , 260 , 290 , 308 ) CHAPTER XI . CENTRAL EQUATIONS . PAGE 133 134 135 138 139 140 141 141 142 · 142 143 . 143 144 • 145 146 • 147 148 Transformation of general Equation to the centre ...
Страница ix
... centre ( see also p . 310 ) Locus of intersection of Tangents which make a given Intercept on a given Locus of centre , given four Tangents ( see also pp . 243 , 256 , 327 ) ditto , given three tangents and sum of squares of axes Locus ...
... centre ( see also p . 310 ) Locus of intersection of Tangents which make a given Intercept on a given Locus of centre , given four Tangents ( see also pp . 243 , 256 , 327 ) ditto , given three tangents and sum of squares of axes Locus ...
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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