This is the second in a series of three papers examining Euclidean triangle geometry via complex cross ratios [for part I see ibid., No. 1-2, 30-54 (1996; see the paper above)]. In this paper the author introduces complex triangle coordinates in the Euclidean plane using cross ratios, and uses them to prove theorems about triangles. She then develops a complex version of Ceva's theorem, and applies it to proofs of several new theorems.