Mifcellanea Curioja. 295 



as y ; and GN as ?, and N A as v • and let 

 the Plain P e a be made parallel to the Plain 

 ACG E 3 the Plain NV bT parallel to ABC D j 

 and the Plain L XT ^ parallel to the Plain 

 ABGH. And our firft Produft K * f M be 

 as the Solid 5 TWIPZ^ e 5. The Second, or r * T 

 will be as the Solid E T Z^ e Q^S M L The 

 Third, ]{ f y, as the Solid P^HO Vrt'IS T. And 

 the Fourth, I{ru, as the Sold Z^ab DfVXIf^ 

 Fifthly, f 7>, as the Soiid G QJ{ S I M N O. 

 Sixthly, r Tv, as I K^LMGTZ^A. Seventhly, 

 Kv v > as the Solid I^POBXVPV.. And 

 Laftly, AIX^LMNOP will be as the Pro- 

 duct of the 3 Numbers of Perfons dead, or 

 Ty v. I fhall not apply this in all the Cafes 

 thereof, for brevity- fake ; only to fhew in one 

 how all the reft may be performed, let it be 

 demanded what is the Value of the Reverfion 

 of the younger Life after the two elder pro- 

 pofed. The proportion is as the whole Num- 

 ber of Chances, or N n v to the Product R^y w ; fb 

 is the certain prefent Value of the Sum payable 

 after any Term propofed, to the Value due to 

 fuch Chances as the younger Perfon has to bu- 

 ry both the elder, by the Term propofed j 

 which therefore he is to pay for. Here it 

 is to be noted, that the firft Term of all thefe 

 Proportions is the lame throughout, vi%. N n v. 

 The fecond changing yearly according to the 

 Decreafe of Z^, r, ?, and Increafe of T, >, y. 

 And the third are fuccemVelo the prefent Va- 

 lues of Money payable after one, two, three, 

 (3c. years, according to the Rate of Intertft 

 agreed on. Thefe Numbers, which are in ail 

 Cafes of Annuities of neceiTary life, 1 have put 

 into the following Table, they benig Decimal 

 U 4 Values, 



