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‘The method which Eutocius describes to cut a sphere in a given ratio, crediting it to Dionysodorus, uses a parabola and a rectangular hyperbola.’
‘The solution is effectively produced by the intersection of a circle and a rectangular hyperbola.’
‘Certainly by 1661 Huygens understood the relation between the rectangular hyperbola and the logarithm.’
‘The relationship of yield loss to the level of weed infestation has been modelled from empirical observations using a variety of functions, but is usually best described by 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.’