Lea,
Here is the 71 pages work sheet between your first visit in this collab and your e-mail. Pages 14, 15, 44, 59 are for the circle centered in the Cartesian [0, 0]. The "goat" problem is another case as it leads to Valery constant. The level control is another case with the line horizontal. For these two cases, the intersection were not analyzed.
Hope it helps. I will read your work sheet again.
My e-mail does not send, maybe a parental control is still active ? For the big sheet, follow the instruction at the top of the page, strictly !!!. Some 3D might lose specifications ( a bug in Mathcad 11.2a).
Apparently, 14 does not like the serial definition
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if so: convert it
Jean