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The medial profile was calculated by defining a plane that passes through the most anterior, distal, and posterior points on the medial condyle.
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A line and a point define a plane.
Then, a point, P, solves this equation exactly when the vector from O to P is perpendicular to A. And, I claim that defines a plane.
Furthermore, for each point α on a manifold, we can define a plane, passing from that point, which can be understood as a local linearization of the manifold around α.
Mathematical translation: polyhedrons have a minimum of four sides, three points define a plane, two is a divisor of all even numbers, and any number raised to the power of zero is one.
For example, "On the fourth day of Christmas, my true love gave to me: the smallest possible number of sides on a polyhedron, the number of points that define a plane, the divisor of even numbers and any other number to the power of zero".
Three non-collinear points define a plane.
Another possibility could be to select the three closest neighboring points (therefore, defining a triangle) and assume that the corresponding 3D points define a plane.
This defines a plane of symmetry, since the only asymmetry in the problem stems from a non-zero component of the IMF perpendicular to the x-axis.
The proposed mechanical design with two DOFs uses the fundamental principle that three points are sufficient to define a plane in space.
He then showed how to define a plane by capturing the intuition that given two distinct points a plane is the collection of points in space that are the same distance from each of the two given points.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com