Euclid's Elements Book 3 Proposition 36 applies strictly to static chord-secant relationships in a completed circle, not to dynamically evolving geometric quantities approaching a limit.
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An ancient Greek textbook written around 300 BCE that systematically laid out the foundations of geometry—basically the rulebook for how shapes and lines work.
Secant(in geometry)
A straight line that crosses through a circle, intersecting it at two points (like a chord extended outward).
Static(Describing a world that doesn't change, contrasted with our world that's always changing)
Unchanging, fixed, and staying the same forever—the opposite of moving or evolving.