The dimension \(\operatorname {dim}(\mathcal A)\) of an affine space \(\mathcal A=(A,V_A,v)\) is the dimension of the corresponding vector space \(V_A\):
\[\operatorname {dim}(\mathcal A):=\operatorname {dim}(V_A)\]
Note: If \(\operatorname {dim}(V_A)\) is finite, say \(n\), then this means that we need \(n+1\) affinely independent points. \[P_0,P_1,P_2\ldots,P_n\] to form an affine basis of \(\mathcal A\).
Corollaries: 1
Definitions: 2 3 4 5 6 7 8
Proofs: 9