geometry.braik_mac_construction
===============================

.. py:module:: geometry.braik_mac_construction

.. autoapi-nested-parse::

   braikenridge_maclaurin_construction
   https://mathworld.wolfram.com/ConicSection.html
   5 Points define a conic section on a 2D normal orthogonal plane using this technique.



Classes
-------

.. autoapisummary::

   geometry.braik_mac_construction.BraikMac
   geometry.braik_mac_construction.Point


Module Contents
---------------

.. py:class:: BraikMac

   Given a list of 5 points, determine the corresponding
   conic section equation and provide it to the user

   | x**2   xy  y**2  x  y  1 |
   | x1**2 x1y1 y1**2 x1 y1 1 |
   | x2**2 x2y2 y2**2 x2 y2 1 | = 0
   | x3**2 x3y3 y3**2 x3 y3 1 |
   | x4**2 x4y4 y4**2 x4 y4 1 |
   | x5**2 x5y5 y5**2 x5 y5 1 |

   >>> p1 = Point(0.0,0.0)
   >>> p2 = Point(5.0,0.0)
   >>> p3 = Point(2.0,3.0)
   >>> p4 = Point(1.0,10.0)
   >>> p5 = Point(6.0,7.0)
   >>> BraikMac([p1,p2,p3,p4,p5]) # doctest: +NORMALIZE_WHITESPACE
   BraikMac(p_list=[Point(x=0.0, y=0.0), Point(x=5.0, y=0.0),
   Point(x=2.0, y=3.0), Point(x=1.0, y=10.0), Point(x=6.0, y=7.0)])


   .. py:method:: __post_init__() -> None


   .. py:property:: generate
      :type: str



   .. py:attribute:: p_list
      :type:  list[Point]
      :value: []



.. py:class:: Point

   A point defined by 2 floats representing a length on a normalized
   orthogonal coordinate system
   default coordinate is the origin

   >>> Point(-1.0, 0.0)
   Point(x=-1.0, y=0.0)


   .. py:method:: __post_init__() -> None


   .. py:attribute:: x
      :type:  float
      :value: 0.0



   .. py:attribute:: y
      :type:  float
      :value: 0.0