' . 1 ' ( 57 * ) 
Cur'd by its An djvifor, leaving the remainder propofed ^ and if 
we add the reft of the produ&is thereto we onely add a Mufti- 
flex of its own Divifor, which in Divifton enlarges h the J$dote r 
but not the Remainder, 
particularly the fecond Muldplieris zBXi i e)£ Eeraairtder 2 
all which is but a Multiplex of 28* 
And fo the third Product is 28^ i^x * 3 % Remainder. 
And what hath been laid concerning the Sum of the Products?, 
being divided by. - the .$rft and. leaving the Remainder 
thereto aftign’d, may be faid of each refpe&ively. 
3 . The fum of the Products divided by the f did of the three Divk 
fort) leaves a Remainder fo qualified as the [aid Sum . 
For concerning the faid Sum, his evident by the fecond hereof ^ 
that it is no other, than the £rft Prod increas’d by adding a juft 
Multiflex of the firft Divifor , that thereby we did only enlarge. 
the Jfgpte, not alter the Remainder . By the like reafon , the fob- 
firacting a juft Multiflex thereof, doth only alter the ffn ote , not. 
the Remainder 5 but the Solid of all three Divifors, multiplied here 
by the Quote, as there by the Remainder^ is no other than a jjB& 
Multi flex of the firft Divifor, Wherefore the Remainder, after 
this Divifionis perform’d, is of the fame Quality, as the fum of 
the Produdts, and divided by the firft Divifor, leaves the Remain- 
der proper thereto And the like may be faid concerning each 
Divifor,. 
A S in rhe Method hitherto deliver’d, we required the Divifors-* 
be Primitive to each other • fo, if we take the ^roblemeds- 
generally propofed, in the Preface to Helvicus his Chronolo- 
gic ? we are told , common Arithmetick fades in the Solution 
thereof, and Tacquet denies it to be performable by the Me— 
gula Falft , and being unlimited, we muft do it by. TSryals^ 
Wherefore, 
When any two Divifor s with their Remainders are propofed^ Try- 
the Mult if Ikes of one of them , increafed by it sJLem kinder > and Dk 
vide byyfe other ? if you find fuch Remainders , as are not for the- 
and that they are repeated , the Probleme is imfofsibh „ 
& 3 °- 
iple, . Dmibr* _ Remainders 
