$ § 9 Mijcellanea Curiofa. 



vqts after the fame Term ; and G F, D I, 

 thofe of that Age that are dead at that time. 

 Then {hall the whole Parallelogram A B C D 

 be Nk, or the Product of the two Numbers 

 of Perfons, reprefenting fuch a number of Per- 

 fons of the two Ages given ; and by what 

 was (aid before, after the Term propofed, the 

 Rectangle HD {hall be as the number of Per- 

 fons of the younger Age that furvive, and 

 the Rectangle A E as the number of thofe that 

 die. So like wife the Rectangles A I, FD 

 {hall be as the Numbers, living and dead, of 

 the other Age. Hence the Rectangle HI 

 (hall be as an equal number of both Ages fur- 

 viving. The Rectangle F E being the Pro- 

 duct of the Decealed, or Ty, an equal num- 

 ber of both dead. The Rectangle G D or 1^7, 

 a number living of the younger Age, and dead 

 of the elder : And the Rectangle AG or rT 

 a number living of the elder Age, but dead 

 of the younger. This being underftood, it is 

 obvious, that as the whole Rectangle A D or 

 N n is to the Gnomon F A B D E G or N n—Ty 9 

 fo is the whole number of Perfbns or Chances, 

 to the number of Chances that one of the two 

 Perfons is living : And as A D or N n is to 

 F E or Ty 9 fo are all the Chances, to the 

 Chances that both are dead , whereby may be 

 computed the Value of the Reverfion after 

 both Lives. And as AD to G D ok fy 9 

 fo the whole number of Chances, to the Chan- 

 ces that the younger is living, and the other 

 dead ; whereby may be caft up what Value 

 ought to be paid for the Reverfion of one Life 

 after another, as in the Cafe of providing for 

 Clergymen's Widows, and others, by fuch 



Reverfions. 



