Please, consider a simple truncated cylinder. There are many web sites where you can learn to draw the projection or exploded view of the lateral side. It would be great if I could have the equation of the curve to feed a plotter in order to cut a sheet of the truncated cylinder. The parameters could be the radius of the cylinder and the angle of the intersecting plane. Thanks in advance!
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What have you done? Have you tried solving the system of equations $x^2+y^2=r^2, x=\alpha z$? Where do you get stuck? – KReiser Jun 26 '18 at 04:00
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I have just found it. The answer is in "Unwrapping Curves from Cylinders and Cones" by Tom Apostol. There is a cute example of a painting cylinder submerged at angle in the paint, the resulting pattern is a sine wave like $u(x)=h \space sin \frac{x}{r}$ where $r$ is the radius of the cylinder and $h=r \space tan(\beta)$ being $\beta$ the angle of the cutting plane. Also thanks to member Robert Israel for his response to an unrelated question (just see the animation)
JIC Abe
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