%0 Journal Article %T Cayley-Bacharach Formulas %A Qingchun Ren %A Jščrgen Richter-Gebert %A Bernd Sturmfels %J Mathematics %D 2014 %I arXiv %X The Cayley-Bacharach Theorem states that all cubic curves through eight given points in the plane also pass through a unique ninth point. We write that point as an explicit rational function in the other eight. %U http://arxiv.org/abs/1405.6438v2