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Updated: May 7, 2025
Bernouilli's problem was to find out what that curve must be. Newton solved it correctly; he showed that the curve was a part of what is termed a cycloid that is to say, a curve like that which is described by a point on the rim of a carriage-wheel as the wheel runs along the ground.
Its extremity will not leave the plane and will describe a logarithmic spiral within it. It is, in a more complicated degree, a variant of Bernouilli's 'Eadem mutata resurgo: the logarithmic conic curve becomes a logarithmic plane curve.
In the heat of this Campaign, "July 27th," some four days after the Battle of Zullichau, just while Friedrich was hurrying off for that Intersection at Sagan, and breathless Hunt of Loudon and Haddick, poor Maupertuis had quitted this world. July 27th, 1759; at Basel, on the Swiss Borders, in his friend Bernouilli's house, after long months of sickness painfully spent there.
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