(570 
TheMultiplicesbf 8,r ^ 
Thofe divided by the 
Remainders are i. 3. 5, t. ''f;^\'^ 
' Here you fee ai. and 45. for the purpofe, and take the Pro- 
greffion, adding the common difference 24 ( which is the leaft Di- 
vidend meafured by 5. and 8.) and you have 21. 45. 
117^:141^. 
Admit , the Queftlon had concerned thefe three Divi- 
ibrs; 
^ ■■ ■■ ;y - ' ■- 
wherefore I cdiicl liidej that the third and fixth of thefe Numbers 
are thofe fought, to wit 69. ox 141 and fo on progreflively : 
WliereaSj if you^ had propounded the Remainder of to have 
been any other Nu«iber^ than 6^ the Problem, as conc^rn'ingf 
thefe, had not been poflible. 
S(Me e^e Cafes of the Problerm are thefe : 
When the Remainder of fome Divifor iso, and of each of the 
reft of the Divifors, , an vmtyfy^lt^Q by.^a Unity then the Divi- 
Ibr. ^ \. ' . ' ' ' . .'^ , ■ , ^ : ^ 
In which Gafes you are to find Cuch z Multiplex of the Produdl 
or leaft Dividend meafurable by thofe Diviforsj that have Re- 
mainders, which, increafed or dimifli*t by an Unit^xmy be a juft 
Multiplex' of that Divifo'r, that hath no Remainder. Thefe Ca- 
' fes are handled by T acquets and Bachet in bis Prohlemes flaifans & 
dekltables. 
PKOBLEME. 
to ^ni the Tear of the ^nlian Period for mj Tear of our Lord 
fropofed. 
It is neceflfary to be furniftit with the Sum Cycle ^ the Prime 
Number^ and the Numjyer of the Komm lndiSHon^ which the in- 
duftrious Mr, Street thus performs : 
when 
