[net.puzzle] Temperatures

5131eds@hound.UUCP (E.SHIPLEY) (12/29/83)

Regardless of whether you use Centigrade or Fahrenheit to measure it, the
temperature is the same. Only the numbers used to describe the temperature
are different! At -40 , nevertheless, the Fahrenheit scale and the
Centigrade scale give the same number.
			Ed Shipley

halle1@houxz.UUCP (J.HALLE) (12/29/83)

Do farenheit and centegrade have a common point?  Well, yes and no.
-40 F = -40 C, but C=Celcius now, not centigrade, so the latter does
not exist! ( :-) )  Actually, any two systems where the temperature
intervals are different will intersect.  (It might not be at a real
attainable point, however, for bizzare scales.)

msimpson@bbncca.ARPA (Mike Simpson) (12/30/83)

***
	>>Do Fahrenheit and Centigrade have an equivalent temperature?

		Yes, forty degrees below zero.  The algebra is simple--

	Let X be the Fahrenheit temperature, and let Y be the Celsius
		temperature.  Then

		(9/5)Y+32 = X

		(9)Y + 160 = (5)X

		      160 = (-4)X

			-40 = X

		        -- cheers,
			   Mike Simpson
			   Bolt Beranek and Newman Inc.
			   Ten Moulton Street,
				   Cambridge, MA 02238 (USnail)
			   msimpson@bbn-unix (ARPA)
			   decvax!bbncca!msimpson (Usenet)
			   msimpson.bbn-unix@udel-relay (CSNET)
			   617-497-2819 (Ma Bell)
-- 
		        -- cheers,
			   Mike Simpson
			   Bolt Beranek and Newman Inc.
			   Ten Moulton Street,
				   Cambridge, MA 02238 (USnail)
			   msimpson@bbn-unix (ARPA)
			   decvax!bbncca!msimpson (Usenet)
			   msimpson.bbn-unix@udel-relay (CSNET)
			   617-497-2819 (Ma Bell)

dje@pyuxbb.UUCP (D J Ellis) (01/04/84)

Regarding equivalence between degrees Fahrenheit and Celsius:

	F = 9/5 * C + 32 = C

is a linear equation with root C = -40.