VOL. XLVII.] PHILOSOPHICAL TRANSACTIONS. 127 



104"; on the second clay his pulse was quick, and full, his mouth foul, and he 

 complained of thirst, a nausea, and head-ach. A thermometer being then kept 

 for some time in his arm-pit, rose to 106°. On the third day all the symptoms 

 increased, though the thermometer applied to his body, rose no higher than the 

 day before ; but on Dr. S. representing the danger from the heat, he was enlarged, 

 and immediately recovered. The heat in this instance was several degrees 

 beyond what the learned professor Boerhaave tjiought sufficient to coagulate the 

 blood. 



4. That a damp air (caeteris paribus) gives a sensation of greater heat or cold 

 than a dry air, viz. a sensation of greater heat, when the mercury is about 70° 

 or upwards; and of cold, when about 50°, or below that point. 



5. That we are able to endure the open air, when heated to a degree consi- 

 derably greater than the air of a room, that is heated by a fire ; and, since one 

 may stay some hours in a bagnio, where the heat is at 100°, we may conclude, 

 that the open air, heated to that degree, will be suffered with less uneasiness, 

 than when it is so confined, 



6. That medicines, for whose operation a pretty high degree of heat is neces- 

 sary, cannot be taken safely, where the heat is very variable, though it should 

 not be less than the degree requisite for the working of such medicines. Thus 

 a mercurial salivation may be carried on safely, where the heat is kept from 66 

 to 72°; but, were the heat suddenly to vary 15 or 20°, the change would be 

 dangerous, though the heat was not to fall below 66°. 



7. That the body is sometimes difi^rently affected, according to the different 

 constitutions of the air; though the air remains the same, so fer as we can judge, 

 witli regard to heat, humidity, and gravity. 



8. That, when the thermometer is high, our bodies are very sensible of a 

 small addition of heat : but it is uncertain, whether this proceeds from the heat 

 being near the greatest degree we can bear ; or, that a greater proportion of heat 

 is requisite to raise the thermometer the same number of degrees after it is high, 

 than when it is low. If this be the case, then, in graduating the thermometers, 

 the degrees ought to be marked shorter, proportionally to the height of the mer- 

 cury ; but in what proportion, is not yet discovered. .inKm :. 



JV. A General Method for exhibiting the falue of an Algebraic Expression in- 

 volving several Radical Quantities in an Infinite Series : wherein Sir Isaac 

 Newton s Theorem for involving a Binomial, ivith another of the same Author, 

 relating to the Roots of Equations, are demonstrated. By T. Simpson, F. R. S. 

 p. 20. 



Among all the great improvements, which the art of computation has in these 



