APPENDIX A. 217 



injurious to society? Have they not rather in- 

 cluded in the same proscription religion and the 

 abuse of it ?" 



" The belief in an all-powerful Being, who loves 

 us and watches over us, gives to the mind great 

 strength to endure misfortune." 



" A religion suited to the soul and preached by 

 men worthy of respect would exercise the most 

 salutary influence upon society and customs." 



II. NOTES OF SADI CARNOT OK MATHEMATICS, 

 PHYSICS, AND OTHEE SUBJECTS. 



Up to the present time the changes caused in 

 the temperature of bodies by motion have been 

 very little studied. This class of phenomena mer- 

 its, however, the attention of observers. When 

 bodies are in motion, especially when that motion 

 disappears, or when it produces motive power, re- 

 markable changes take place in the distribution of 

 heat, and perhaps in its quantity. 



We will collect a few facts which exhibit this 

 phenomenon most clearly. 



1. The Collision of Bodies. We know that in 

 the collision of bodies there is always expenditure 

 of motive power. Perfectly elastic bodies only form 

 an exception, and none such are found in nature. 



