# Newton To Réaumur

Calculates the Réaumur temperature from the given Newton scale value

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## Newton to Réaumur

The Newton temperature scale was defined by Isaac Newton in 1701 setting as 0 on this scale "the heat of air in winter at which water begins to freeze", or in other words, 0 as in Celsius scale, and the value 33 for "heat at which water begins to boil", so around 100 ℃, being exactly 100 the value commonly used for conversions between both scales. The Newton is represented as °N after the value.

The Réaumur temperature scale was proposed by René Antoine Ferchault de Réaumur in 1730, and it is based on the water tristate as well as Celsius, placing the 0 at the point when the liquid water freezes, and the value of 80 at the point when the liquid water boils. Its unit is represented with °Ré, with °Re, and sometimes with °r after the value.

The Réaumur temperature scale values are calculated from Newton using the formula $$Newton × {80 \over 33}$$