( 2247 ) 
whicfe is notorioufly falfe*) This he contradids in the very 
next words^ But Square numbers (^beginning at i)intermit firfitw§ 
number s^then four. then fix 5 [0 that mne of the intermitted num- 
bers is a Square number ^nor hath any Square root^ (If thefe inter-- 
mitted numbers^ between 4, 9^ 163 be not Squares how 
is ic that every one in the whole row is a Square^and that of fome 
Integer number ? ) But this again is contradicted pro^^'2. where 
aoc(one of fuch intermitted numbers) is made SLSqmrey and 
147^ thQl^ooto£ iu • 
Again ; in his Definition he tells us, that a Square "Root multi- 
plied into it (elf -pr 0 due eth a Square t But Qrop,7») he mulciphcch 
the l{oot 14 1| ( not into it felt,but) into 14 (a part thereof, J to 
make 200, which he will have to be the Square of that Root. 
Nor is it ameer flip of negligence in the computation, but his 
Rule directs to it | Any number given is produced by the greatejl 
Root multiplied into it felf^ and into the remaining FraUion, Where- 
of he gives this inftance : Let the number given be soo Squares y 
the greatefi Root is Squares (he fliould rather have faid 
Lengths '-i but that is a Imall fault with him 5 ) //^/, that 200 is 
equaltotheproduB of i^intoitfelf(rvh{chis 196^) together with 
multipliedinto (which is equal to ^i^ thatis 14- multiplied into 
14. But this calculation is again contradidied in his third pro- 
pofition, where he calculates «S^^w^ir^ other wifej as we 
fliall fee by and by. In the mean time let's confider this alone, 
and fee the contradictions within it felf* His Rule bids us 
multiply the greatefi J^oot into it felf^^c* This greatefi Root he fays 
is 14-5 yet doth he not multiply this^ but 14 (a part thereof) 
into it [elf and into the FraUion Again 5 if 14-^ be the greatejl 
Root^ what fliall the remaining FraBion} Doth he take the 
Root of 200 to be more than 14^ by fome further remaining 
FraUion ? Iffo, he fiiould have told us what that Fraftion is ^ 
for 7^ it is notjthis being part of his greatefi 'Root 14^. But if 
we fliould allow (as I think we muft^) that by the greatefi Root 
hemeans fometimes 14^^ fometiraes 14, f^h^^ is, if we allow 
him to contradict himfelf,) yet how comes he by the Fradiion 
> For,- is too much (thefquare of r4~beingeiore then 200, 
as by multiplying 14^ into itfeif will appear 5) which deflroys 
his whole defigni for 14, multiplied into i&^^^^ willnotraake 
acOjbut 198 ; contrary to his role* But further^ it is fo grofs a 
miftake^to make 200 the Square of 141-5 that every Apprentice 
O o o boyy 
