( 6S; )
lag to mefrom a xd. will be vt$ Muhiplitdbj (of, (which i» thePresentValu« of Monty to be paid aster Two Teart ;) and that from a z<i. HandReporter — thrice Multiplied into it seif; (thc Valu# of Mpney pay-able at the end of 3 Tears,) &c.
Corollary. And therefore, as at the Rate of 6 fer Cent, Interest the Pre-sent Value of any Sum Payable aster 11 Teart, it but Half the Sum : Siif th« Probabilitjt or Proportion of Ctrtitude Transmitted by each Reporterbe the Proportion of Certainty aster 12 such Transmission?, will bobut »s a Half i and it will grow by that Time an Equal.Lay, .whether thcReport be True or No. In the sime naanner, if the Proportion of Certaintybe set at ft?, it will come toa Half from the ]otb. Hand, Andis at jff?from the 6 <y<ptb.
Erop. II. Concerning Concurrent Testiscatim.
If 7 wo Concurrent Reporters have, each of them, as « of Certainty, theywill both give tne Assurance of yr of 3 y to One\ if Tbree, an Assuranceof i ", or of 215. to One.
For if one of them gives a Certainty for 1200/. as of there re.ijiainsbut an Assurance of i. or of 200/. wanting to me, for the Whple. Andtowards that the 2 d. Attefier contributos, according to his Proportion ofCredebiUty, That is, to £. of Certainty betöre had, he adds £ of the j. whichwas Wanting. 80 that there is now Wanting but \< of J ; that is ^ ;
and conscquently I have, from them both, of Certainty. So from Tbree.»!«. &c.
of Certainty , and
That is, if the First Witnefs gives me
wanting of it -- : the Second Attefier will add —-— of that
a 4- c
«■+• c'
a
c
And conscquently leave nothing but ~ °f that - — - •=■
,2
a
€
And in like manner the 3 d. Attefier adds his of that
T, and!
a-t-c
leaves Wanting only - z , &c.
a -t~c
Corollary. Hence it follows, that if a Single Witvtss fliould be only sofar Credible, as to givepiethe Half of a Füll Certainty • a Second of the simeCrtdibility, would (joyned with the First) give me a Tbird f. &c. So thatthe Coattefiation of a 7 entb, would give me of Certainty ; and
the Coattefiation of a Twentitth, ??f or above Two Million s to one. &c,.
Prop. III. Concerning the Credit of a Reporter for a Particular Articleof that Narrative, for the Whole of which he it Credible in a eertainDegree.
Ut