A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica 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 . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) 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 . 296 ) Polar properties of inscribed Quadrilateral ( see also p . 319 ) Equation of ...
Stranica xi
... Curves 270 Chord which subtends a right Angle at a fixed Point on Conic passes through a fixed Point 270 Locus of the ... Curve 270 • Anharmonic Ratio of four Points the same as that of their Polars Given four Points , Polar of a fixed ...
... Curves 270 Chord which subtends a right Angle at a fixed Point on Conic passes through a fixed Point 270 Locus of the ... Curve 270 • Anharmonic Ratio of four Points the same as that of their Polars Given four Points , Polar of a fixed ...
Stranica xiv
... Curve parallel to a Conic PAGE 337 Equation of Evolute of a Conic 338 Meaning of the Invariants when one Coric is a pair of Lines Criterion whether six lines touch the same conic 338 • 339 Equation of pair of Tangents whose Chord is a ...
... Curve parallel to a Conic PAGE 337 Equation of Evolute of a Conic 338 Meaning of the Invariants when one Coric is a pair of Lines Criterion whether six lines touch the same conic 338 • 339 Equation of pair of Tangents whose Chord is a ...
Stranica 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 ...
... 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 ...
Stranica 14
... curve be defined by any geometrical property , it will be our business to deduce from that property an equation which must be satisfied by the coordinates of every point on the curve . Thus , if a circle be defined as the locus of a ...
... curve be defined by any geometrical property , it will be our business to deduce from that property an equation which must be satisfied by the coordinates of every point on the curve . Thus , if a circle be defined as the locus of a ...
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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