A Treatise on Conic Sections: Containing an account of some of the most important modern algebraic and geometric methods. Fourth editionBoD – Books on Demand, 2022 M04 30 - 380 páginas Reprint of the original, first published in 1863. |
Contenido
Des Cartes Method of Coordinates | 3 |
Polar Coordinates | 9 |
0 | 16 |
Length of Perpendicular from a Point on a Linc | 31 |
EXAXPLAS OX DOUT LINZ | 39 |
Problems where it is proved that a Moveable Lino always passes through | 49 |
CHAPTER IL | 55 |
Centre and Axis of Homology | 61 |
Expression for Angle between two Tangents to a Conic | 155 |
Locus of intersection of Tangents which cnt at right Angles sco also | 161 |
Transformation of the Equation to the form yo | 164 |
Properties of | 167 |
Angle subtended at tho Focus by a Chord bisccted by Line joining Focus | 173 |
Parabola the limit of the Ellipso when one Focus passes to infinity | 186 |
Equation of a Tangent | 191 |
Circle eircumscribing Triangle formed by three Tangents passes through | 193 |
Tangential Coordinates | 67 |
Conditions that general Equation may represent a Circle | 77 |
Equation of Polar of a Point with regard to a Circle | 84 |
Circular Laci | 92 |
Equation of Circle cutting three at right Angles sce p 344 | 97 |
CHAPTER VIII | 100 |
Equation of Circlo circumscribing a Quadrilateral | 107 |
Its Tangential Equation | 114 |
CHAPTER X | 126 |
Coordinates of centrc of Conic | 133 |
Transformation of general Equation to the centre | 136 |
Equations of Diameters | 144 |
Functions of tho Coefficients which are unaltered by transformation | 148 |
Equation of a Polar | 201 |
EeCExTRIE AXOLE | 203 |
Lincs joining two fixed to variable Point make constant Intercopt | 204 |
COXTACT OF Conics | 212 |
CHAPTER XIV | 218 |
All Circles have imaginary common Points at infinity sce also p 312 | 224 |
Pascals lheorem see also p 306 | 230 |
Imaginary Right Lincs | 231 |
Angle between two Lines given by a single Equation | 262 |
Harmonic Property of Polars see also p 280 | 280 |
Maclaurins Method of generating Conics acc also p 285 | 285 |
Polar properties of inscribed Quadrilateral see also p 306 | 306 |
Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
angle asymptotes axes axis base becomes called centre chord circle circumscribing co-ordinates coefficients coincide common condition conic conic section conjugate considered constant corresponding cquation curve denote describe determine diameter difference directrix distance double draw drawn ellipse envelope equal equation evidently example express extremities figure find the locus fixed line fixed point focal focus follows four points give given point Hence hyperbola imaginary infinite infinity intercept intersection length line joining locus manner meet method normal obtain origin pair parabola parallel particular pass perpendicular point of contact polar pole position projection proved quantity ratio reciprocal rectangle reduced regard relation represents respect result right angles right line roots satisfied sides square substituting suppose tangents theorem tion touch transform triangle values vanish vertex vertices write written