SCIENTIFIC NEWS. 



oiiJy interpolated fome old tables, without allowing for the 

 variation of the differences. The other work is really valu- 

 able, it is a table of fquares and cubes to a much greater ex- 

 tent than that, which was publidied by the Board of Longi- 

 tude in 1781, under the care of Dr. Hutton*. This table 

 was calculated for the f<^uares of all numbers from 1 to 

 -1285-1.0, and for the cubes of all from 1 to 26560. . But tiiere 

 is an interval in the fquares from 28261 to 29061. It appears 

 to have been originally left in the manufcripl, although it is 

 impoffible to conjecture the reafon of the omiffion. The gro- 

 cer, who had purchafed tbe papers, had begun to tear this 

 <able before it co>ild be refcued out of his hands; but as he 

 had not got beyond the number 6000, this circum fiance is 

 comparatively of little confequence. In all other refpefts the 

 work is complete. It is written in a clear hand, and (having 

 been examined in feveral hundred places) appears to pofiefs a 

 degree of corrednefs, which may in general be depended 

 upon. 



Among the papers were propofals for printing this table; 

 they are dated 1758. There were, likewife, two flieets of 

 an introdu(5lion to them, printed in 1761. At this diflance of 

 time, it is impoffible to afcertain the reafon, which prevented 

 the publication ; but it is not improbable that Mr. C. might 

 have been ftopped by the great expence of the undertaking. 

 Had Dr. Hutton been in poffeffionof this manufcript, it might 

 have faved much of his valuable time, and if any man of fci-* 

 ence ftiould be employed in continuing his work, it will be ufei- 

 till to him to know that Mr. Councer's has been preferved. 



P, S. Mr. Councer had, likewife, calculated all the powers 

 from the ift to the 13th (inclufive) of the feries of numbers 

 from 1 to 20. And he has continued this, for the nine digits, 

 as iar as the 26th power. . S. R. 



*,(.* I received the preceding notice from the refpe6table 

 gentleman whofe initials are fubjoined; and am enabled to give 

 fuch fartiier information as may conduce to render the papers 

 of public utility. W, N. 



* Dr. Hutton's table is for the fquares of all numbers from 1 to 

 25000, and the cubes of all from 1 to 10000. 



Phojphoric 



m 



