The Celsius or centigrade temperature scale is based on the water tristate, placing the 0 at the point when the liquid water becomes ice, and the 100 at the point when the liquid water becomes gas, both at 1 atm pressure. Its unit is represented with ℃ 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 Celsius using the formula $$Celsius × {4 \over 5}$$
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