and Records ) can never happen alike. And thefe remarques 
being given, the year of the Julian Period is by the former Rule 
infallibly found. * 
Thls Perhd is fifed by the faid Arch-hi/hop in Us Annals, and is 
by him accounted to. exceed; the &ge bith&Kforld 769. years. 
Thofe 3 that defire further fatisfadionabout *AEras , . Epochal , 
Periods ^ may repaire to many Authors, and among them to 
Gregorys Pofthuma , in Englifh , Helvici chronologia , *ALgidti 
Straw chit Mevurium Ghromlogicurn y $ho is one of the lateft Au- 
thors. ; ■ •; ■ : 
Now as to the Problems it felf, it may be thus propofed. 
Any Number of Divifors , together with their Remainders after 
Divifion, being propofed^ to find the Dividend. 
This thus generally propofed is no new probleme, and was re- 
folved long fince, by fohn Geyfius , by the help of particular Mul- 
tipliers, fuch as thofe above-mentioned, and publi/ht by Alfiedi 
us in his Encyclopedia in An. 1630, and by V an-Schooten in his 
Mifcdlamesi 
We /hall clear up, what Authors have omitted concerning the 
.Definition and Demonstration of fuch fixed Multipliers, &c. And 
therefore fay, that each Multiplier is relative to the Divifor, to 
which it belongs, and thus define it 5 
It is fuch a Number) as Divided by the reft of the Divifors, or 
their Product 3 the Remainder is 6 ; but Divided by its own Divifor 9 
the Remainder is an Unit. , 
We require the Divifors propofed to be Primitive each to o 
ther, i t e. that no two or more of them can be reduced to iefler 
terms by any common Divifor. For, if fo,the Quefiionmay be 
pofsible in itfelf,but not fefolvable by help Of fuch Multipliers 3 
fuch being impo/fible to be found, . The reafon is, becaufe the 
Produdof an Odd and an Even Number is alwayes Even, and 
that divided by an Even Number* leaves either Nothing, or an 
Even Number, , ; • 
" The Multijtfiers-- 1 relative • 
Divifors 1 9 > thwetoare * 
. . : 1 5 * f;, \ , . ; 
The Definition affords light enough for the difcovery of theft 
.Numbers, - Tp mftance inthe|fr^ ‘ T he Pfodud °f M 2nd 2% 
IS, 
