diff --git a/packages/core/src/path.mjs b/packages/core/src/path.mjs
index 4b606b4189e..5388676eb78 100644
--- a/packages/core/src/path.mjs
+++ b/packages/core/src/path.mjs
@@ -7,6 +7,7 @@ import {
   curvesIntersect,
   pointOnLine,
   pointOnCurve,
+  relativeOffsetOnCurve,
   curveEdge,
   round,
   __addNonEnumProp,
@@ -902,7 +903,13 @@ Path.prototype.split = function (point) {
         break
       }
     } else if (path.ops[1].type === 'curve') {
-      let t = pointOnCurve(path.ops[0].to, path.ops[1].cp1, path.ops[1].cp2, path.ops[1].to, point)
+      let t = relativeOffsetOnCurve(
+        path.ops[0].to,
+        path.ops[1].cp1,
+        path.ops[1].cp2,
+        path.ops[1].to,
+        point
+      )
       if (t !== false) {
         let curve = new Bezier(
           { x: path.ops[0].to.x, y: path.ops[0].to.y },
diff --git a/packages/core/src/utils.mjs b/packages/core/src/utils.mjs
index 22bc34fb6d5..9a5ecf17fd7 100644
--- a/packages/core/src/utils.mjs
+++ b/packages/core/src/utils.mjs
@@ -541,16 +541,30 @@ export function pointOnBeam(from, to, check, precision = 1e6) {
 /**
  * Finds out whether a Point lies on a (cubic) Bezier curve
  *
- * @param {Point} from - Start of the curve
+ * @param {Point} start - Start of the curve
  * @param {Point} cp1 - Control point at the start of the curve
- * @param {Point} cp1 - Control point at the end of the curve
+ * @param {Point} cp2 - Control point at the end of the curve
  * @param {Point} end - End of the curve
  * @param {Point} check - Point to check
- * @return {bool} result - True of the Point is on the curve, false when not
+ * @return {boolean} result - True of the Point is on the curve, false when not
  */
 export function pointOnCurve(start, cp1, cp2, end, check) {
-  if (start.sitsOn(check)) return true
-  if (end.sitsOn(check)) return true
+  return relativeOffsetOnCurve(start, cp1, cp2, end, check) !== false
+}
+
+/**
+ * Finds where a Point lies on a (cubic) Bezier curve
+ *
+ * @param {Point} start - Start of the curve
+ * @param {Point} cp1 - Control point at the start of the curve
+ * @param {Point} cp2 - Control point at the end of the curve
+ * @param {Point} end - End of the curve
+ * @param {Point} check - Point to check
+ * @return {false|number} result - relative position on the curve (value between 0 and 1), false when not on curve
+ */
+export function relativeOffsetOnCurve(start, cp1, cp2, end, check) {
+  if (start.sitsOn(check)) return 0
+  if (end.sitsOn(check)) return 1
   let curve = new Bezier(
     { x: start.x, y: start.y },
     { x: cp1.x, y: cp1.y },