(i) Take two arbitrary points {A,B} and a line L.

(ii) Consider an arbitrary but fixed line N and a point P varying on this line.

(iii) Draw lines {PA,PB} and their intersections {A

The coordinates {x,y} of points {A

This follows from the inverse construction to the Chasles-Steiner generation of conics (see Chasles_Steiner.html ). In fact it suffices to consider the degenerate conic consisting of the pair of lines (M,N), where M is the line containing {A,B} and apply this inverse procedure.

Chasles_Steiner_Envelope.html

Chasles_Steiner.html

Chasles_Steiner2.html

ChaslesSteinerExample.html

HomographicRelation.html

HomographicRelationExample.html

Line_Homography.html

ProjectiveBase.html

RectHypeRelation.html

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