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Foundations of Euclidean Geometry
Analytic Foundations of Euclidean Geometry
Euclidean Foundations: Coordinates, Lines, Betweenness, and Orthogonality
Euclidean Foundations for Orthogonality: The Missing Piece of Structure in Ordered Pairs
Euclidean Foundations: Orthogonal Axes, Change in Coordinates, and Reflections
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Other "orthogonal" pairs of axes Intuition: for any nonzero vector (x,y)(x,y)(x,y), each two "neighboring" pairs among (x,y)(x,y)(x,y), (−y,x)(-y,x)(−y,x), (−x,y)(-x,y)(−x,y), (…
By Victor Wang, Moor Xu
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