74 



PHILOSOPHICAL TRANSACTIONS. 



[a.vno 1791. 



those instances in which I h.ive compared some of the foregoing rules with the 

 approximations now in use, I have invariably found the latter to be erroneous; 

 nay, in some cases, the values were almost twice as great as they ought to have 

 been. This is particularly true when one of the lives is very young, and both 

 or either of the other lives are very old. In reversions of this kind I believe that 

 this is generally the case, and that it seldom happens that the ages of the 3 lives 

 are nearly equal. The approximations therefore can hardly ever be used with 

 safety, and it will certainly be most prudent not to have recourse to them when 

 the correct values can be obtained. Should the difficulties attending the solution 

 of the remaining problems which involve 3 lives be surmounted (and tlie task 

 may not perhaps be impossible), the hypothesis of an equal decrement of life, 

 as far as it relates to any useful purpose in the doctrine of annuities, may then 

 be totally abandoned. Or should it even be found impracticable to deduce solu- 

 tions of those problems which are strictly and accurately true; yet I am satisfied, 

 from my own experience, that such near approximations may be procured as to 

 render this hypothesis equally unnecessary. 



XVIII. Abstract of a Register of the Barometer, Thermometer, and Rain, at 

 Lyndon in Rutland. By T. Barker, Esq.; with the Rain in Surrey and 

 Hampshire; for 179O. And of a Chalk-pit found in Rutland, p. 278. 

 Barometer. Thermometer. , Rain. 



Jan. 



Feb 



Mar. 



Apr. 



May 



June 



July 



Aug, 



Sept 



Oct. 



Nov, 



Dec. 



Morn. 



Aftern. 



Morn. 



Aftern. 



Morn. 



Aftern. 



Mom. 



Aftern. 



Morn. 



Aftern. 



Morn. 



Aftern. 



Morn. 



Aftern. 



Mom. 



Aftem. 



Morn. 



Aftern. 



Morn. 



Aftern. 



Morn. 



Aftern. 



Morn. 



Aftern. 



30.05 

 30.13 

 29.85 

 29.8O 

 29.86 

 29.73 

 29.6s 

 29.95 

 29.81 

 29.88 

 29.87 



Means and sums 



Highest. 



Inches. 

 29.97 



Lowest. 



Inchefi. 



28.48 

 29.20 

 29.31 

 29.01 

 28.93 

 28.98 

 29.90 

 29.17 

 28.88 

 28.89 

 28.49 

 28.32 



Mean. 



I aches 

 29.55 



29.71 



29.77 



29.42 



29.45 



29.56 



29.35 



29.49 



29.53 



29.43 



29.35 



29.33 



In the House. 

 Hig. Low Mean 



49 

 49 

 48 



36 

 36 

 40 



29.50 



49^1 41 



44 



40 



41 



50^ 



51 



54,^ 



55^ 



57 



58 



56 



57 



52 



53 



45 i 



45 



37 



38 



36 



36 



50^ 



51" 



51 



52.^ 



58 



59 h 



71 



75J 



64 



66 



66 



67h 



62 



61 



57 



59 



49 i 



49 J 



46 



47 



41 



41^ 



43i 



44| 



46 



47 



44 



45 



54 



55 



^9 



60 i 



60 



61 



601 



62 



55| 



57 



52 



53 



44 



45 



40 



40A 



Abroad. 

 Hig. Low Mean 



50,^ 

 <oI 



48 

 57 

 48,^ 

 60' 



491 



61 



57 



72 



65,^ 



85 



62 



7!<h 



64 



80 



59h 



72.^1 



55 



65 



48 



51^ 



48 



49 



26^ 



34^ 



30 



40,1 



31' 



42i 



32 



38 



43,i 



52^, 



48. -i 



56' 



■i9l 

 62 



49 



57 



42 



55.^ 



36 



46 



30 



32 



25A 



31' 



37 



41 



38| 



47 



39i 



50 



38| 



49 



49J 



61 



55h 



67 1 



57 



69 



56 



69 

 493 



61 



45^ 



55 



40 



44^ 



38| 



43 



Lyndon. Surry. | Hampshire. 



S. Lamb. Selbourn Fyfield. 



50j 



50 



1.871 

 0.236 

 0.259 

 0.676 



2.911 



2.3S5 

 2.246 

 1.735 

 1.566 

 0.991 

 3.145 

 3.6O8 



luch. 



1.49 



0.20 



0.24 



2.54 



3.70 



0.64 



2.42 



2.26 



0.52 



1.72 



3.40 



3.18 



1-99 



0.49 



1.72 

 0.43 



21.629 22.31 



