C'5-7 « ) 
fur'd by itsowndivifor, leaving the remainder propofed ^ and if 
we add the reft of the Produdls theretg^ weonely add a I^ulti'^' 
flexoi its own Divifor, which in Divilion enlargeth the ^ote^ 
hwinoiiht Rewawder, 
Particularly the fecond Multiplier is 2r8 f 15+ 10 f Remainder^, 
all which is but a Multiplex of 280 
And fo the third Produdi is 28 f ipf 13 f Remainder. 
And what hath been faid concerning the Sum of the ProducS^", 
being divided by the firft Divifor, and leaving the Remainder 
thereto affign'd, may be faid of each refpediv-ely. 
3 . T he [urn of the Products divided by thefolid of the three Divi-' 
fors^ leaves a Remainder fo qnaliped as the faid Sum. 
For concerning the faid Sum, 'tis evident by the fecond hereof ^ 
that it is no other, than the fitft Prodnft^ increased by adding a juft 
Multiflex of the firft Divifor ^ that thereby we did only enlarge 
the ^ote^ not alter the Remainder, By the like reafon , the fui^^ 
^/acting a ]\x& Multif lex thereof^ doth only alter the ^ote^ not 
the Remainder 5 but the Solid of all three Divifors^ multiplied hert 
by the Qiiote^ zs there by the igf;^^/^^^, is no other tharv a juft^- 
Muliiflex of the firft Divifor. Wherefore the Remainder^, after^ 
this Divifion is perform'd^ is of the fame Quality, as the fum of f 
the Produ6ls> and divided by the firft Divifor^^ leaves the Remain- - 
der proper thereto: And the like may; be faid concerning eacB^ 
Divifor,. 
AS in the Method hitherto deirver'djWe required the Diviforr- 
be Primitive to each other 5 fo, if we take the Vroblemc as*-- 
generally propofed, in the Preface to Helvicm his Chronolo- 
gia, we are told, common ArithmeticK failes in the Solutioir'^ 
thereof, miTacquet deiiies it to be performable by the i?^- 
gala Falfi y and being unlimited ^ we muft da it by" Ttyals;. 
Wherefore, 
when any two Divifors with their Remainders are fropvftd; frf 
the Multiflices of one of them^ increafediy its Remainder, and Di- 
vide by the other : if you find fuch Remmders^ as are not fgrth^- 
furpfc^ and that4hef^are repeated , the FroUme i> imfofsibh, 
Exafl:iple, Divifors Remainders 
