(2345) 
portion f whether that by him afsigned or any other) thofe will 
be in the fame continual proportion with them. As if for DT5 
DR, DC5 betaken DtjDrjDC, in any continual proportion 
(greater^lefsjor equal to hisj the Arcs on /^,on r/jon Ca, (ex- 
tended) will be in the fame continual proportion. 
But (which is the common fault of Mr. Hobs*$ Demonftrad- 
on) if this Demonftration were good^it would ferve as well for 
any propofition as that for which he brings it. For if, inftead 
off, hehadfaid, orwhatelfehe pleafed^ the De- 
monftration had been juft as good as now it is, without chan- 
ging onefyllable: That is,it will equally prove the proportion 
of theSeraidiameter to the Quadrantal Arc, to bej what yen 
pleafe: As any may prefently fee^ who doth but read over his 
Paper<. 
In his fecond Papery 
HE pretends to confute a Theorem.which bath a long time pajjei 
for truth (and therefore doth no more concern Dr* 
Wallk^than other men*) And 'tis this. The four Jf des of a fquare 
being divided into any number of equal parts, for example, into 1 003 
and fir eight lines drami through the oppejite points ^ wMfh will divide 
the Squares into 100 1 ejjer Squares : 'The received cpinion (faith he j 
and which Dr, Wallis commofdy ufetb^ is^ that the ^oot of thofe i o©^ 
namely i o, is the fide of the whole Square. Which to conf ute^ he 
tells us, The I^oot 10 is a number of Squares ^ whereof the MhoIe con* 
tains 1 00 5 and therefore the l^pot of iCO Squares is 10 of thofe 
Squares^and not the fide of a7iy Square 3 becaufe the fide of a Square 
is not a Superficies ^but a Line. 
For An,f I fayjthat'cis neither the opinion of Doctor Wallis^ 
nor (that 1 knowj of any other (fo far is it from being 2iJ{ecet* 
vfd Opinion^vj\\\ch Matter Hobs infinuates as fuch) that 10 is the 
Root of 100 Squares (For furely a Bare 'Number cannot be the 
fide of a Square Figure :^ Nor yet (as Mafter Hobs would have 
it) that 10 Squares is the Root of 100 Squares: But that lo 
"Lengths is the Root of ico Squares, 'Tis true that the "Number 
10 is the Root of the Number lOO, but not, of a ico Squares ^ 
zvidiyi\\2ii \0 Squares is the Root (not of I00 4y^/:^^r£'/5but) of 100 
squared Squares : Liie as 10 Doufen is the Root, not of iCO 
IXoufen^xil of ico Doujen doufenpv Squares of a Boufeth Andjas, 
ihere^^. 
