Definition 11.1.2 .

Assume that ( q j ) j = 1 , , n subscript subscript 𝑞 𝑗 𝑗 1 𝑛 (q_{j})_{{j}=1,\ldots,n} ( italic_q start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ) start_POSTSUBSCRIPT italic_j = 1 , … , italic_n end_POSTSUBSCRIPT , n 8 𝑛 8 n\leq 8 italic_n ≤ 8 are points in 2 superscript 2 {\mathbb{P}}^{2} blackboard_P start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT . The points ( q j ) j subscript subscript 𝑞 𝑗 𝑗 (q_{j})_{j} ( italic_q start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ) start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT are in general position if and only if