fractionToPointAndDerivative Method

Return the point (x,y,z) and derivative on the curve at fractional position.

  • Note that the derivative is "derivative of xyz with respect to fraction".
  • The derivative shows the speed of the "fractional point" moving along the curve.
  • The derivative is not generally a unit vector. Use fractionToPointAndUnitTangent for a unit vector.

fractionToPointAndDerivative(fraction: number, result?: Ray3d): Ray3d

@returns a ray whose origin is the curve point and direction is the derivative with respect to the fraction. If the chain is empty, a zero ray is returned.

Parameter Type Description
fraction number fractional position along the geometry.
result Ray3d optional receiver for the result.

Returns - Ray3d

a ray whose origin is the curve point and direction is the derivative with respect to the fraction. If the chain is empty, a zero ray is returned.

Defined in

Last Updated: 06 December, 2025