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Mr. Hargreave, 



I am glad to deliver into your hands this* Royal Medal for the 

 mathematical paper with which you have enabled the Council to 

 adorn the Philosophical Transactions. 



It is a paper, from its nature indeed, more suited for the attentive 

 study of the closet, than for reading before an audience, however 

 scientific, but it is not on that account less valuable. 



Mathematical analysis is doubly important : important in itself, 

 and important as one of the great instruments of philosophical in- 

 vestigation. Every extension of it must then be at all times most 

 highly welcome to a Society founded for the advancement of natural 

 knowledge, and I, therefore, in its name, tender its thanks and an 

 expression of the hope that it will not be the last communication that 

 we shall receive at your hands. 



Mr. Adams, 



It is a great pleasure to me to be the channel by which the 

 Council of the Royal Society gives you this Copley Medal. 



In their award, I am sure that they have not done more than 

 justice to the scientific zeal, industry, and skill exerted by you in 

 the search of the great and distant body that caused the perturba- 

 tions of the planet Uranus, a search crowned with success, both in 

 your case and in that of your illustrious friend Le Verrier. 



If he be an honour to his nation, not the less so are you to En- 

 gland ; if he is a worthy follower of La Place, not less so are you of 

 Newton. His name and yours will remain imperishably united in 

 the annals of the glorious science which you both cultivate with so 

 much zeal and so much success. 



Lieut.-Col. Sabine, 



I have to request of you, when transmitting to M. Regnault this 

 Rumford Medal, to state to him the importance which the Royal 

 Society attaches to his researches, determining with a degree of 

 accuracy hitherto unobtained, the laws which govern the connexion 

 between the temperature and elasticity of saturated steam, and the 

 quantity of heat absorbed by a given weight of water under different 

 densities and pressures. 



The laws which govern the expansion of atmospheric air, under 

 different pressures, and the expansion and densities of different gases 

 and mercury, and the measurement of temperatures by these means, 

 form in a series of memoirs altogether the most important investi- 

 gations hitherto made on this subject. 



Had the philosophical and philanthropical founder of this 

 Medal been now living, I am sure that he would have cordially 

 approved of the award of it to inquiries connected with the most 

 important power that Providence has, as yet, given to man for 

 lightening and assisting his industry, and for giving him speed for 

 crossing sea and land, compared with which, the fabled wings of 



