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

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Longmans, Green, and Company, 1879 - 399 páginas

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CHAPTER XVI
295
Algebraic Expression for Anharmonic Ratio of a Pencil i 56
299
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
Foci how found when two pairs of corresponding Points are given
310
Harmonic Properties of a Quadrilateral proved see also p 317
317
Anharmonic Properties of Points and Tangents of a Conic see also pp 240 288
318
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
330
Condition that two Conics should touch
336
Six vertices of two selfconjugate Triangles lie on a Conic
341
Anharmonic ratio of four Points on a Conic abcd abcd if the Lines
342
Discriminant of Covariant F when vanishes
347
Meaning of the Constants in Equation of a Right Line
349
Equation of Conic touching five Lines
353
Centre and Axis of Homology
354
Contact having double contact
355
23
358
Four Conics having double contact with S and passing through three Points
359
Area of common conjugate Triangle of two Conics
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
Trilinear Coordinates
384
Loci
389
Equation of Line at infinity
394
If a Point A lie on the polar of B B lies on the polar of
395
Focal Properties
396
Number of conditions which determine a Conic
398
332
399
64
6
Examples on Circle solved by Polar Coordinates 96
22

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