156 Intelligence and Miscellaneous Articles. 



the same at Madras that it does at London, he can also show that 

 the vibrations of the same pendulum will be performed in the same 

 time at each place. 



In forming the little table that I sent to you, I thought there was 

 something novel in its showing how the weight of a body varies in 

 each degree of latitude ; at all events it was new to me ; but that the 

 weight of bodies does vary when they are carried into different lati- 

 tudes, was I thought a recognised fact admitting of no dispute. Thus 

 Newton, Principia, lib. iii. prop. 20, prob. 4, has " Invenire et inter 

 se comparare pondera corporum in terra? hujus regionibus diversis." 

 Having discussed the problem, he says, " Unde tale confit Theorema; 

 quod incrementum ponderis pergendo ab sequatore ad polos, sit quam 

 proxime ut sinus versus latitudinis duplicate, vel quod perinde est, 

 ut quadratum sinus recti latitudinis." This problem would seem to 

 have some reference to the subject, but Newton appears to have for- 

 gotten the scales. 



The 227th question in the Leeds Correspondent is, " To find how 

 much lighter the cargo of an East India ship, burden 1000 tons, will 

 be at the equator than when she left the port of London." 



Two solutions were inserted ; they agree very nearly with the di- 

 minution shown in my table. The accomplished editor states that 

 true solutions were also sent by Messrs. Godward and Riley, names 

 quite familiar to readers of mathematical periodicals. The editor 

 however does not remind his correspondents that they have for- 

 gotten the scales. 



I fear I have occupied too much of your valuable space, but I have 

 been anxious to remove all ambiguity from my meaning. If I am 

 in error, I hope I have shown no wish to conceal it. I am solicitous 

 that your readers, without much trouble, should be enabled to form 

 their own judgement upon the point under discussion : in addition to 

 this, your Correspondent honoured my very trifling communication 

 with an exposition. I trust I have been equally attentive to his pro- 

 duction : but, upon the whole, I am sorry that the title of the article 

 referred to was not more distinct ; and I regret it the more, because 

 after all my endeavours to clear up the matter, I am obliged to con- 

 clude my remarks quite in doubt as to whether that somewhat dubi- 

 ous title did not mislead your Correspondent, or whether he had not 

 altogether forgotten to make himself at all acquainted with the sub- 

 ject before he wrote the comment that'was published in the last (June) 

 Magazine. This too is a point which I must beg to refer to the 

 judgement of your readers. I remain, Gentlemen, 



Your very obedient Servant, 



June 15, 1843. '. J. J. 



ON OLIVILE. BY MONS. A. SOBRERO. 



Olivile, discovered and analysed in 1 81 G by M. Pelletier, is very 

 easily obtained by first digesting the powdered resin of the olive- 

 tree in aether, afterwards dissolving the residue in boiling alcohol, 

 and allowing it to crystallize by cooling after filtration. It is easily 

 freed from the resinous matter by which it is rendered impure by 

 washing it on a filter with cold alcohol, which dissolves but very 



