:class:`Curve`
==============

.. py:class:: ansys.geometry.core.shapes.curves.curve.Curve

   Bases: :py:obj:`abc.ABC`


   
   Provides the abstract base class representing a 3D curve.
















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.. py:currentmodule:: Curve

Overview
--------

.. tab-set::

   .. tab-item:: Abstract methods

      .. list-table::
          :header-rows: 0
          :widths: auto

          * - :py:attr:`~parameterization`
            - Parameterize the curve.
          * - :py:attr:`~contains_param`
            - Check a parameter is within the parametric range of the curve.
          * - :py:attr:`~contains_point`
            - Check a point is contained by the curve.
          * - :py:attr:`~transformed_copy`
            - Create a transformed copy of the curve.
          * - :py:attr:`~__eq__`
            - Determine if two curves are equal.
          * - :py:attr:`~evaluate`
            - Evaluate the curve at the given parameter.
          * - :py:attr:`~project_point`
            - Project a point to the curve.



   .. tab-item:: Methods

      .. list-table::
          :header-rows: 0
          :widths: auto

          * - :py:attr:`~trim`
            - Trim this curve by bounding it with an interval.








Import detail
-------------

.. code-block:: python

    from ansys.geometry.core.shapes.curves.curve import Curve





Method detail
-------------
.. py:method:: parameterization() -> ansys.geometry.core.shapes.parameterization.Parameterization
   :abstractmethod:


   
   Parameterize the curve.
















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.. py:method:: contains_param(param: ansys.geometry.core.typing.Real) -> bool
   :abstractmethod:


   
   Check a parameter is within the parametric range of the curve.
















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.. py:method:: contains_point(point: ansys.geometry.core.math.point.Point3D) -> bool
   :abstractmethod:


   
   Check a point is contained by the curve.

   The point can either lie within the curve or on its boundary.















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.. py:method:: transformed_copy(matrix: ansys.geometry.core.math.matrix.Matrix44) -> Curve
   :abstractmethod:


   
   Create a transformed copy of the curve.
















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.. py:method:: __eq__(other: Curve) -> bool
   :abstractmethod:


   
   Determine if two curves are equal.
















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.. py:method:: evaluate(parameter: ansys.geometry.core.typing.Real) -> ansys.geometry.core.shapes.curves.curve_evaluation.CurveEvaluation
   :abstractmethod:


   
   Evaluate the curve at the given parameter.
















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.. py:method:: project_point(point: ansys.geometry.core.math.point.Point3D) -> ansys.geometry.core.shapes.curves.curve_evaluation.CurveEvaluation
   :abstractmethod:


   
   Project a point to the curve.

   This method returns the evaluation at the closest point.















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.. py:method:: trim(interval: ansys.geometry.core.shapes.parameterization.Interval) -> ansys.geometry.core.shapes.curves.trimmed_curve.TrimmedCurve

   
   Trim this curve by bounding it with an interval.





   :Returns:

       :obj:`TrimmedCurve`
           The resulting bounded curve.











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