Slike stranica
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Relation connecting common Tangents of four Circles touched by same fifth
Method of Inversion of Curves

Quantities unchanged by Inversion

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Parabola the limit of the Ellipse when one Focus passes to infinity
Intercept on Axis by two Lines, equal to projection of distance between their
Poles

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Locus of foot of Perpendicular from Focus on Tangent

Locus of intersection of Tangents which cut at right Angles (see also pp. 285, 352) 205
Angle between two Tangents half that between corresponding Focal Radii
Circle circumscribing Triangle formed by three Tangents passes through Focus
(see also pp. 214, 274, 285, 320)

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Radii Vectores through Foci have equal difference of Reciprocals.
Examples on Parabola

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Locus of Centre, given four Tangents (see also pp. 254, 268, 339)

ditto, given three Tangents and sum of squares of Axes

Locus of Foci, given four Points

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Equations of Conics having double contact with each other
Every Parabola has a Tangent at infinity (see also p. 329)

Similar and similarly placed Conics have common Points at mfinity
if concentric, touch at infinity

All Circles have imaginary common Points at infinity (see also p. 325).

Form of Equation referred to a self-conjugate Triangle (see also p. 253)

Conics having same Focus have two imaginary common Tangents (see also

pp. 320, 353)

Method of finding Coordinates of Foci of given Conic (see also p. 353)

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