Measurement Of A Circle by Archimedes
A concise geometric treatise that proves the area of a circle equals the area of a right triangle with legs equal to the radius and the circumference, derives the relation between circumference and diameter, and employs the method of exhaustion—using inscribed and circumscribed regular polygons (up to a 96-gon)—to obtain rigorous numerical bounds for the constant now called π (notably 223/71 < π < 22/7), with clear constructions and proofs for approximating a circle’s circumference and area.
- Published
- -249
- Nationality
- Greek
- Length
- Unknown
- Pages
- Unknown
- Original Language
- Ancient greek
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- Alternate Titles
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- De mensura circuli
- On the Measurement of the Circle
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