A hyperbola with rectangular asymptotes.
- Certainly by 1661 Huygens understood the relation between the rectangular hyperbola and the logarithm.
- The method which Eutocius describes to cut a sphere in a given ratio, crediting it to Dionysodorus, uses a parabola and a rectangular hyperbola.
- With these tools he was able to show that rotating the unlimited area of a rectangular hyperbola between the y-axis and a fixed point on the curve, resulted in a finite volume when rotated round the y-axis.
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