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Archimedes: On Spirals
Published $c. 250 BCE$.
- If a straight line of which one extremity remains fixed be made to revolve at a uniform rate in a plane until it returns to the position from which it started, and if, at the same time as the straight line revolves, a point moves at a uniform rate along the straight line, starting from the fixed extremity, the point will describe a spiral in the plane.
- $28$ propositions, including:
- Some sources suggest that his discovery of the Tangent to Archimedean Spiral at Point was discovered by techniques which are nothing short of differential calculus.