this post was submitted on 06 Jul 2025
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I don’t remember all my geometric rules I guess, but can an arc, intersecting a line, ever truly be a right angle? At no possible length of segment along that arc can you draw a line that’s perpendicular to the first.
An infinitely small segment of the arc can be.
Geometrically there isn't a problem. If you draw a line from that point to the center of the arc, it will make it clearer.
I guess if we define it as a calculus problem, I can see the point..
I didn’t mean to pun but there it is and I’m leaving it. Any way, there is no infinitely small section that’s perpendicular. Only the tangent at a single (infinitely small) point along a smooth curve, as we approach from either direction. Maybe that’s still called perpendicular.