To make this yet more evident, I have added _Fig. 8._ wherein these eight several Products are at one view exhibited. Let the rectangled Parallelepipedon _ABCDEFGH_ be constituted of the sides _AB_, _GH_, _&c._ proportional to _N_ the Number of the younger Age; _AC_, _BD_, _&c._ proportional to _n_; and _AG_, _CE_, _&c._ proportional to the Number of the elder, or ν. And the whole Parallelepipedon shall be as the Product _Nnν_, or our whole Number of Chances. Let _BP_ be as _R_, and _AP_ as _Y_; let _CL_ be as _r_, and _Ln_ as _y_; and _GN_ as ρ, and _NA_ as υ; and let the Plain _PRea_ be made parallel to the Plain _ACGE_; the Plain _NVbY_ parallel to _ABCD_; and the Plain _LXTQ_ parallel to the Plain _ABGH_. And our first Product _Rrρ_ shall be as the Solid _STWIFZeb_. The Second, or _rρY_ will be as the Solid _EYZeQSMI_. The Third, _Rρy_, as the Solid _RHOVWIST_. And the Fourth, _Rrυ_, as the Solid _ZabDWXIK_. Fifthly, _ρYy_, as the Solid _GQRSIMNO_. Sixthly, _rYυ_, as _IKLMGYZA_. Seventhly, _Ryυ_, as the Solid _IKPOBXVW_. And Lastly, _AIKLMNOP_ will be as the Product of the 3 Numbers of Persons dead, or _Yyυ_. I shall not apply this in all the Cases thereof, for brevity sake; only to shew in one how all the rest may be performed, let it be demanded what is the Value of the Reversion of the younger Life after the two elder proposed. The proportion is as the whole Number of Chances, or _Nnν_ to the Product _Ryυ_; so is the certain present Value of the Sum payable after any Term proposed, to the Value due to such Chances as the younger Person has to bury both the elder, by the Term proposed; which therefore he is to pay for. Here it is to be noted, that the first Term of all these Proportions is the same throughout, _viz._ _Nnν_. The second changing yearly according to the Decrease of _R_, _r_, _ρ_, and Increase of _Y_, _y_, _υ_. And the third are successively the present Values of Money payable after one, two, three, _&c._ years, according to the Rate of Interest agreed on. These Numbers, which are in all Cases of Annuities of necessary Use, I have put into the following Table, they being Decimal Values of one Pound payable after the Number of Years in the Margent, at the Rate of 6 _per Cent._