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 |
Iz unutrašnjosti knjige
Rezultati 1 - 5 od 76.
Stranica vii
... Diameters Diameters of Parabola meet 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 ...
... Diameters Diameters of Parabola meet 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 ...
Stranica ix
... Diameters Radius of Circle circumscribing an inscribed Triangle ( see also p . 333 ) . Area of Triangle formed by three Tangents or three Normals 215 • 216 216 217 • 217 217 219 220 220 · SIMILAR CONIO SECTIONS 222 Condition that Conics ...
... Diameters Radius of Circle circumscribing an inscribed Triangle ( see also p . 333 ) . Area of Triangle formed by three Tangents or three Normals 215 • 216 216 217 • 217 217 219 220 220 · SIMILAR CONIO SECTIONS 222 Condition that Conics ...
Stranica x
... Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics , each having double contact with a third 242 • Diagonals of inscribed and circumscribed ...
... Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics , each having double contact with a third 242 • Diagonals of inscribed and circumscribed ...
Stranica xii
... Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to 296 Asymptote • 297 Parallels to Asymptotes through any Point on Curve , how cut any Diameter 298 Anharmonic Property of Tangents ...
... Diameters form Harmonic Pencil Lines from two fixed Points to a variable Point , how cut any Parallel to 296 Asymptote • 297 Parallels to Asymptotes through any Point on Curve , how cut any Diameter 298 Anharmonic Property of Tangents ...
Stranica 75
... diameter , and the axis of y a per- pendicular at its extremity , then a = r , B = 0 , and the equation becomes x2 + y2 = 2rx . 80. It will be observed that the equation of the circle , to rectangular axes , does not contain the term xy ...
... diameter , and the axis of y a per- pendicular at its extremity , then a = r , B = 0 , and the equation becomes x2 + y2 = 2rx . 80. It will be observed that the equation of the circle , to rectangular axes , does not contain the term xy ...
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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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