( « 7 * )

• II (ball also observe, that the Gron/tb and Encrease vf Mankini is not (ömuch Sttntedby an/ thing in the nature of the Speciet, as it is from theCautious Difficulty most People make to adventure on the State of Montage,"frora the Prospekt of the Trouble and Charge of providing for % Fanny.For by Computation from the TaUe, I find that there are nearly. iyoooPersins above 1 6 and under 45*, of which at least 7000 are Womert Capableto Bear Children: Of thesi notwithstanding there are hüt lr.z8 Btmytzr-ly, which is hüt lictle more than a 6 tb part. So that about One in 6, of :heseWomtn, do Breedytarly whereas were they All Married, it would not Ap-pear Strange or Unlikely, that 4, of 6, fhould bring a Child Every Tear.The Political Consequences hereof I (hall not insist on; only the Strengtband Glory of z King, being in the Multitude of his SubjeSs, l (hall Hint,that above all things Celibacy oughc to be Difcouragtd; asby ExtraordinaryTaxing and Military Service: Aed those who have Humerous Familiesof Children to be Countenanced and Encouraged, by such Laws as the JusTrium Liberorum among the Romans; But especially by an effcctualCare to provide for the Subsistence of the Poor, by finding thera Employ -ments, whereby they may Earn their Bread, without being Chargeable to-the Publick.

frablexls touch-«jti/>Compound

»Iuterdt and An-nuines ; Rc/blvedby M/“. AdamJUartindile; witbExplicattonSy byAir. J.Collins.Pb.Ctl, n.,i,

?-4-

XXXV. Tvselve Problems touchiog Interefi Compound, and Amuities, Ex-pressed in Symbols , to be Resolved by Logarithms , and Di(lingui(hed intothree Ranks whosc Symbols are thus to be understood.

?

r

t

’Principal o

» Rate, viz. I. lib. with its Rate > Common to all the 3 Ranks.. i&sTtme S

a ^ ap Amount or Aggregate ei.~y

s to Stm of Principal and Arrearages > proper to< 2. > Rank.d j \JPijserence of Principal znAWotth J (z.)

Their Capitals stand for the Lsgarithmes of the Number Signified by theSmall Letten. I> } signifies Data ; j^uaßtum ; Prob. Problem ; Ref.Refo^dution.

The Firfi Rank, touching Compound Interefi for a Single Sum of Moncy.

1. Prob. D p, r, t. Q^a ? Ref. Rt -f- P = A.

2 . Prob. D. a, r, t. p ? Ref. A ~Rt = P.

3. Prob. D. p, a, t.Q.r ? Ref R.

4. Prob. D. p, r, t. E- t '? Ref — t.

The Second Rank concerning Annuities in Arrear at Compound -Interefi,grounded upon thesi two Axioms.

1. The Annui ty and Rate of Interest being Given, the Principal Correfpo *-dznt to the Annuity is in Fffecl given also; being eajßly fmn.i out by the Ruleof Three; thus, As