15 CONSTRUCTIONS IN EUCLIDEAN GEOMETRY

Now that the previous chapters have given us such a range of elements of Euclidean geometry as the blades in the conformal model, we want to combine them into useful constructions. As always, this is no more than the application of operations we introduced in Part I, but they take on intriguing and useful meanings.

The meet is greatly extended in its capabilities to intersect arbitrary flats and rounds (though always with the same formula image, or to compute other incidences. The results can be real or imaginary, or even the infinitesimal tangents. The dual of the meet provides a novel operation: the plunge, which ...

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