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diff --git a/script.it/shapes/bezier.mli b/script.it/shapes/bezier.mli
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+++ b/script.it/shapes/bezier.mli
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+type t =
+  { p0:Gg.v2      (* The starting point *)
+  ; p1:Gg.v2      (* The end point *)
+  ; ctrl0:Gg.v2   (* The control point *)
+  ; ctrl1:Gg.v2 } (* The control point *)
+
+type quadratic
+
+(**
+   Build a control point for a quadratic curve for passing throuht 3 points.
+   taken from https://xuhehuan.com/2608.html
+
+
+   also look to https://pomax.github.io/bezierinfo/#pointcurves
+*)
+val three_points_quadratic
+  : Gg.v2 -> Gg.v2 -> Gg.v2 -> quadratic
+
+(**
+   Create a curve from three points.
+
+   This is an implementation for
+   https://pomax.github.io/bezierinfo/#pointcurves
+
+*)
+val three_points_cubic
+  : float -> Gg.v2 -> Gg.v2 -> Gg.v2 -> t
+
+val quadratic_to_cubic
+  : quadratic -> t
+
+(** Split a bezier curve in two at a given position *)
+val slice
+  : float -> t -> t * t
+
+(** Return the closest point to the curve by approximation *)
+val get_closest_point
+  : Gg.v2 -> t -> float * Gg.v2
+
+val reverse: t -> t