Great Circles on Werner Projection

[Rhombic]

Hello all, I'm new here.
So after reading quite a bit about map projections I stumbled with the interesting Werner projection. The fact that the distances to the North pole are correct and that (curved) distances along parallels are correct too intrigued me.
In fact, the map proves to be a very useful one to measure distances (without further computational help).
Given two points, you measure the distance to the North pole and, hence, by knowing the position in the map of the two points, one could trace a great circle. Here's where the problem begins. How does a great circle look like in the Werner projection? If it is a simple geometrical shape, such as a circle, how should it be drawn (e.g. centre of the circle, radius, etc.)?

Thank you!!

♦ Rhombic ♦

[daan]

Hello Rhombic, and welcome to the forums!

The Werner has the properties you describe. However, great circles are not simple curves on the projection. For example, consider the meridians. A meridian is a great circle, but on Werner it is a complex curve. Other great circles are even more complex. It is possible to work out formulas describing the path of a great circle if you need them.

Regards,
— daan

[Piotr]

But aren't circle outlines also complex curves?
Proof: https://www.quora.com/Is-circle-outline-a-complex-curve

[daan]

But aren't circle outlines also complex curves?
Proof: https://www.quora.com/Is-circle-outline-a-complex-curve

Different meaning of “complex”. In this posting, I just mean “complicated” beyond just conic sections. The Quora posting explains that a line segment can be mapped to a circle on the complex plane by means of a complex analytic function.

Regards,
— daan