Volume of Cone is Third of Cylinder on Same Base and of Same Height/Historical Note
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Historical Note
This theorem is Proposition $10$ of Book $\text{XII}$ of Euclid's The Elements.
The treatise The Method of Archimedes, discovered in $1906$, tells us that this result was discovered by Democritus.
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.3$: Democritus (ca. $\text {460}$ – $\text {370}$ B.C.)
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.6$: How Archimedes Discovered Integration