- 1.7k Downloads
Either state a list of axioms, describing incidence properties, like “through two points passes a unique line”. This is the way followed by Euclid (and more recently by Hilbert). Even if the process and a fortiori the axioms themselves are not explicitly stated, this is the way used in secondary schools.
Or decide that the essential thing is that two points define a vector and define everything starting from linear algebra, namely from the axioms defining the vector spaces.
KeywordsVector Space Convex Subset Affine Transformation Vector Subspace Affine Mapping
Unable to display preview. Download preview PDF.