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It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
Difficulty: 3 of 5 Latest: Rolling Ellipse
Consider an ellipse fixed at the origin of the xy-plane having semi-major axis 4 and semi-minor axis 3. A congruent ellipse rolls over the first ellipse without slipping. Initially, they share a common major axis.

Find the locus of focus (the one nearer to the origin) of the rolling ellipse, and calculate the distance traveled by the focus in one revolution (around the fixed ellipse).
(No Solution Yet, 1 Comments) Submitted on 2018-12-07 by Danish Ahmed Khan   
Page 3 of 38   << prev next >>    
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