A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic Andgeometric Methods

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Longmans, Green and Company, 1879 - 399 páginas
 

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Equation of pair of Tangents through a given Point see also p 149
269
To inscribe in a Conic a Triangle whose sides pass through fixed Points see
273
RECIPROCAL POLARS
276
Locus of Focus given four Tangents see also p 277
277
Radical Axes and Centres of Similitude of Conics having double contact with
282
Trilinear Equation given Focus and either three Points or three Tangents
288
CHAPTER XVI
295
Generalizations of Mac Laurins Method of generating Conics see also p 300 251
300
To inscribe in a Conic a Polygon whose sides pass through fixed Points
301
Analytic condition that four Points should form a Harmonic System
305
System of Conics through four Points cut any Transversal in Involution
311
Projective Properties of a Quadrilateral
317
The six Vertices of two selfconjugate Triangles lie on same Conic see also p 341
323
Every Parabola has a Tangent at an infinite Distance
329
Locus of Intersection of Normals to a Conic at the extremities of Chords passing
335
Criterion whether Conics intersect in two real and two imaginary Points or not
337
Tangential equation of four Points common to two Conics
343
Envelope of Base of Triangle inscribed in one Conic two of whose sides touch
349
Equation of reciprocal of two Conics having double contact
356
To form the equation of the sides of selfconjugate Triangle common to
362
Three Conics derived from a single Cubic method of forming its Equation
368
Line which cuts off from a Curve constant Arc or which is of a constant length
374
On systems of Tangential Coordinates
383
On systems of Conics satisfying four Conditions
389
Equation of Line at infinity
394

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