190 Mifcetlanea Curiofa. 



Term of Years, the Product of the two re- 

 maining Sums is tjie Chances that both the 

 Perfbns are living. The Product of the two 

 Differences, being the numbers of the Dead 

 of both Ages, are the Chances that both the 

 Perfbns are dead. And the two Produces of 

 the remaining Sums of the one Age multipli- 

 ed by thofe dead of the other, (hew the Chan- 

 ces that there are, that each Party furvives 

 the other : Whence is derived the Rule to 

 eftimate the Value of the Remainder of one 

 Life after another. Now as the Product of 

 the Two Numbers in the Table for the Two 

 Ages propofed, is to the difference between 

 that Product, and the Product of the two num- 

 bers of Perfbns deceafed in any (pace of time ; 

 fo is the Value of a Sum of Money to be paid 

 after fb much time, to the Value thereof un- 

 der the Contingency of Mortality. And as 

 the aforefaid Product of the two Numbers an- 

 Iwering to the Ages propofed, to the Pro* 

 duct of the Deceafed of one Age multiplied 

 by thofe remaining alive of the other % fb 

 the Value of a Sum of Money to be paid af- 

 ter any time propofed, to the Value of the Chan- 

 ces, that the one Party has that he furvives 

 the orher , whole number of Deceafed you 

 made ufe of, in the fecond Term of the Pro* 

 portion. This perhaps may be "better under- 

 ftood, by putting N for the number of the 

 younger Age, and n for that of the Elder ; 

 T y y the Deceafed of both Ages reflectively, 

 and r for the Remainders ; and H- T 

 =z N, and r -+ y == n. Then (hall N n be 

 the whole Number of Chances; N« — Ty 

 be the Chances that one of the two Perfbns is 



living, 



