Applying a theorem about fixed geometric figures to quantities defined only in an idealized limiting process conflates the mathematics of actual circles with the mathematics of instantaneous curvature.

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Conflates(in argumentation and logic): Treats two different things as if they're the same thing, or mixes them up in a way that causes confusion.
Theorem: A theorem is a statement that has been proven to be true through logical reasoning and evidence. It's a fact that mathematicians or scientists have carefully verified using step-by-step arguments, starting from things already known to be true. Once proven, theorems become reliable building blocks that others can use to prove even more complex ideas.
fixed geometric figures(as used in geometry): Shapes like circles, triangles, or squares that have definite, unchanging properties and boundaries.
idealized limiting process(as used in calculus and mathematical analysis): A mathematical technique where you imagine something getting closer and closer to a perfect state (like a circle getting smoother and smoother) as a way to understand its properties.

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