This chapter develops an alternative method of coordinating a metric affine plane, by embedding it into a projective plane, and using the orthogonality relation to define a matrix-representable transformation on the line at infinity. The construction will be central to our subsequent treatment of metric affine spaces of higher dimension, and its description now requires us to review a substantial body of additional ideas.
KeywordsProjective Plane Projective Transformation Orthogonality Relation Linear Fractional Transformation Collinear Point
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