Interpenetration of a cone and cylinder
Figures by Ms. Johanna Pék Ph.D.
There are a cone and a cylinder given in Monge' projection. The cone is standing on the first image plane, the cylinder is perpendicular to the second image plane. Construct their intersection curve and the tangent line at an arbitrary point.
Note 1: the first figure is an explanatory 3D depiction.
Note 2: in case the horizontal cylinder had a general position, it is easy to create a fourth image perpendicular to its axis, the fourth image will be the same as the second image in this simple example.
The most important (always compulsory) intersection points in this case:
- symmetry points: S1 and S2
- first contour points on the cylinder: S3 and S4
- second contour points on the cylinder: -
- first contour points on the cone: -
- second contour points on the cone: S1 and S2
- topmost point: S1 (note: the topmost generator of the cylinder does not take part in the interpenetration in this case)
- bottommost points: A1 and A2
- general points: P1 and P2