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 vii
... curve at infinity Conjugate diameters Equation of a Tangent Equation of a Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 284 ) Polar properties of inscribed Quadrilateral ( see also p . 307 ) Equation of ...
... curve at infinity Conjugate diameters Equation of a Tangent Equation of a Polar Class of a Curve , defined Harmonic Property of Polars ( see also p . 284 ) Polar properties of inscribed Quadrilateral ( see also p . 307 ) Equation of ...
Página xi
... Curves 259 • Chord which subtends a right Angle at a fixed Point on Conic , passes through a fixed Point 259 • Locus ... Curve 259 • · Anharmonic Ratio of four Points the same as that of their Polars Given four Points , Polar of a fixed ...
... Curves 259 • Chord which subtends a right Angle at a fixed Point on Conic , passes through a fixed Point 259 • Locus ... Curve 259 • · Anharmonic Ratio of four Points the same as that of their Polars Given four Points , Polar of a fixed ...
Página xiii
... Curve , has fixed Bisector Projections of Theorems concerning Angles in general Locus of Point cutting in given ratio intercept of variable Tangent between two fixed Tangents 303 305 , 306 · 306 306 307 308 · 308 309 310 • 310 311 311 ...
... Curve , has fixed Bisector Projections of Theorems concerning Angles in general Locus of Point cutting in given ratio intercept of variable Tangent between two fixed Tangents 303 305 , 306 · 306 306 307 308 · 308 309 310 • 310 311 311 ...
Página 13
... curve , which may be continued indefinitely by giving a greater positive or negative values . Ex . 3. Represent the curve y = 3 ± √ ( 20 - x - x2 ) . Here to each value of x correspond two values of y . No part of the curve lies to the ...
... curve , which may be continued indefinitely by giving a greater positive or negative values . Ex . 3. Represent the curve y = 3 ± √ ( 20 - x - x2 ) . Here to each value of x correspond two values of y . No part of the curve lies to the ...
Página 14
... curve be defined by any geo- metrical property , it will be our business to deduce from that property an equation which must be satisfied by the co - ordinates of every point on the curve . Thus , if a circle be defined as the locus of ...
... curve be defined by any geo- metrical property , it will be our business to deduce from that property an equation which must be satisfied by the co - ordinates of every point on the curve . Thus , if a circle be defined as the locus of ...
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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