214 Royal Society. 



**>* — = '00418 40760 01074 72386 45382 14959 18545 27410 48065 30763 



*39 19508 27019 61288 71817 78341 42289 32737 82605 81362 29094 

 54975 45066 64448 63756 05245 83947 89311 86505 89221 28833 

 09280 08462 71962 33077 33759 47634 60331 84734 14570 33198 

 60154 548^4 80599 24498 30211 46039 12539 49527 60779 68815 

 58881 27339 78533 46518 04574 25481 35867 46447 51979 10232 

 83097 70020 64652 82763 46532 9691048183 86543 56078 91959 

 14512 32220 94463 68627 66155 2^0831 67964 26465 74655 11032 

 51034 35262 82445 12693 55670 49968 44452 47904 3 



ir = 3 -14159 ^6535 89793 23846 26433 83279 50288 41971 69399 37510 

 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 

 82148 08651 32823 06647 09384 46095 50582 23172 53594 08128 

 48111 74502 84102 70193 85211 05559 64462 29489 54930 38196 

 44288 10975 66593 34461 28475 64823 37867 83165 27120 19091 

 45648 56692 34603 48610 45432 66482 13393 60726 02491 41273 

 72458 70066 06315 58817 48815 20920 96282 92540 91715 36436 

 78925 90360 01133 05305 48820 46652 13841 46951 94151 16094 

 33057 27036 57595 91953 09218 61173 81931 61179 3 



Commencing at the 441st decimal place, Mr. Shanks* additional 

 figures are as follow : — 



Aan"" —V.. 78985 02007 52236 96837 96139 22783 54193 2557a 23284 13846 

 5^ 4774413529097054651224383026975605183775 



Aan"^ -i- v.. 33177 28393 07086 31401 93869 51950 37058 64107 70855 85540 

 239^ 45223 55388 14237 67708 36515 69182 52702 00228 



(tt)... 31051 18548 07446 23799 62749 56735 18857 52724 89122 79381 

 83011 94912 98336 73362 44065 66430 86021 39488 



In conclusion, the author states that Mr, Shanks has computed 

 the value of the base of the Napierian system of logarithms as well 

 as the values of the Napierian logarithms of 2, 3, 5 and 10, to the 

 extent of 140 places of decimals. 



2. " An Account of a Deep-sea Sounding in 7706 fathoms, in 

 36° 49' South Latitude, and 37° 6' West Longitude." By Captain 

 Henry Mangles Denham, R.N., F.R.S. 



This sounding was obtained on a calm day, October 30, 1852, 

 in the course of the passage of H.M. ship Herald, from Rio de Ja- 

 neiro to the Cape of Good Hope. The sounding-line was yi^th of 

 an inch in diameter, laid into one length, and weighing, when dry, 

 lib. for every hundred fathoms. Captain Denham received from 

 Commodore iPKeever of the United States Navy, commanding the 

 Congress Frigate, a present of 15,000 fathoms of this line, 10,000 

 fathoms on one reel, and 5000 on another ; and considers it to have 

 been admirably adapted for the purpose for which it was made and 

 to which it was applied. The plummet weighed 91bs,, and was 11*5 

 inches in length, and 1*7 inch in diameter. When 7706 fathoms 

 had run off the reel the sea-bottom was reached. Captain Denham 

 states that Lieut. Hutcheson and himself, in separate boats, with 

 their own hands, drew the plummet up 50 fathoms several times, 

 and after it had renewed its descent, it stopped, on each occasion, 

 abruptly at the original mark to a fathom, and would not take an- 



