14 NEW PRIMITIVES FOR EUCLIDEAN GEOMETRY

This chapter continues the development of the conformal model of Euclidean geometry. We have seen in the previous chapter how the model includes flats and directions as blades and Euclidean transformations on them as versors. That more or less copied the capabilities of the more familiar homogeneous model, though in a structure-preserving form, which permits metrically significant interpolation.

In this chapter, we show that the blades of the conformal model can represent many more elements that are useful in Euclidean geometry: They give us spheres, circles, point pairs, and tangents as direct elements of computation. Having those available will extend the range of computations that can be done by the ...

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