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0 votes
2 answers
99 views

What kind of curve does $a*(x+y) = x*y$ form?

If $a$ is a constant, what is the name of a curve of the form $a*(x+y) = x*y$? And how is this equation related to more this curve's more general equations/characteristics? Plotting this curve, I ...
raflex's user avatar
  • 1
3 votes
0 answers
57 views

Approximating the intersection of a line and the iPhone X screen as well as its normals

I am creating a simulation where little, fast moving, particles need to intersect with the edges of the iPhone X screen. Previously I have had no difficulty with my collisions. The particles have ...
J.Doe's user avatar
  • 485
3 votes
2 answers
596 views

Ball rolling along a see-saw

Suppose we have a see-saw which is 2 metres long, whose mid-point is connected to a fulcrum which is 0.5 metres tall. The see-saw has a mass of 1kg, and has uniform thickness and density. The see-saw ...
Thomas Delaney's user avatar
1 vote
1 answer
52 views

Analytical calculation of a reflected light ray in glass fibre

I am trying to analytically calculate the propagation of a light ray in a glass fiber. While the physics of it is clear to me, I am not sure how describe arbitrary geometries of the fiber and then ...
Sterla's user avatar
  • 55
3 votes
0 answers
1k views

What's so special about involute curves??

An involute curve (specifically, an involute of a circle) is very commonly used to define the shape of the teeth on a gear. Apparently this idea goes back to Euler. Why is this? What special ...
bubba's user avatar
  • 43.7k