$\newcommand{\kk}{\mathbb{K}}$This is the first of a number, hopefully greater than one, of posts in which I record my understanding of Étienne Bézout’s approach towards his theorem on number of (isolated) solutions of (square) polynomial systems. My source is Eric Feron’s translation (General Theory of Algebraic Equations, Princeton University Press, 2006) of Bézout’s Théorie Générale des… Continue reading Bézout’s theorem in Bézout’s eyes – part 1