Farmwelding wrote:
Of course if someone wants to show me where it is used I would be delighted to hear about it!
I can do this all day! (not really, but at least this one last time)
Here's a real world problem-
Had to do a restoration on a four point (british) arch for a restoration in which the building had shifted and distorted the original frame. To do this, we had to develop the equation of the circle for the upper corners, the one for the laterals that make the arch, and find all of the points of intersection between the vertices and segments of circles.
So starting with the height and width, using the arc chord theorem to develop the circles, and creating a system of equations to find the points of intersection for all of the above, you can end up with a work of art that sits in the national registry of historical buildings.
Sincerely Farmwelding, this stuff (maths, algebra, trig, calc) is something you can take as far as you want, but you have to have it to take it there.