^Hiitff9r cutis DV i ( fag. 43 % line 33.) into thtk {p. 44- /. S- ) ^^-^'^ 
tptor Liniis^ nempe ^uadrnflHs ReSla DV: And would thence perfwade you, 
that Mr. i^oc^i^had affigned a SoMe^ equal to a Line, But Ur, Rook^s Demon- 
ftration was clear enough for Mr, Hohfc'f Comment. Nor do 1 know any Ma- 
thematician (unlefs you take Mr. Boh to be one ) who thinks that a Line 
wultiplyedhy a Nnmher mil wakj a S^uare-^ (what ever Afr* Hobs is pleafed 
10 teach us.) But, l^hdiX. a N^iml^er multiply sd hj a. Nnrhbsr^ may m^ks ^ 
Square Nwtmhtr ; and, lliat a Lint draivn into a Line may maks a f^uarc Fi- 
gure, Mr* Hobs ( if he were , what he would be thought to be ) might have 
known before now* Or, ( if he had not before known ic ) he might have 
learned, ( by what ) fbew him upon ■?>. hkeoccaiion, in my Heb. Hea^a. fag^ 
142. 143. i 44.)'Hc7^toundcrllandthat I anguage, without an Abfurdiiy. 
Juft in the fame manner he doth, in the next page, deal wi-JiC/^-t/ifc-j* For 
having given us his words, pig, 45 1* ^ • 4, Vico Line Limam Perfmdktd.i- 
rem extra circnlum cadere ( becaufe neither intra Ctrcnhim^ nor in Feyifhe" 
ria • ) He doth, when he would fhew an errour, firft make one, by tainfying 
his words i5» where inftead of Limam- Perpendicular em, he fubrii- 
tutes Fm^tm A. hsxiEudtdeov C/^Wi/j h.:d- dcnyed the Futnt A. (the 
utm.oft point of the Radim^ to be in the Circumference Or,as if Mr, Hohi\ 
by proving the Foint to be in the Circumference, had thereby proved^ 
that the Ferfen^icular T angent A E had alfo lyen in the Circumference of 
the Circle. But this is a Trade, which Mr* Hobs doth drive fo often, as i! he 
were as well faulty in his Aiords , as in his Mathemi^dei^u 
The ^adrattirs of a Circle^ which here he gives vss^Chap, 20. s i . 2 ? , is 
one of thofe Twelve of hi«i, which in my Hobbius HeaHion-tir^erur/tenus (from 
pag^ \Q^.lopag 119 ) are already confuted ; And is the Ninth in order 
( as I there rank them ) which is particularly coniidercd, pag, io<5. 107. i o8» 
i call it OnSy beciiufe he takes it fo to be ; though it might as well be called 
T wo. For, as there, fo here, it confideth of T wo branches^ which arc Both- 
Falfe^ and each overthrow the other. For if the Arch of a ^mdrantht^ 
equal to the Aggregate of the Semid4ameter and of the Tangent of lO. Degrees^ 
(as he would H^re have it, in C^^/J* 20. andT/^^rf, in the dole of frc/?, 27;) 
1 hen is it not equal to th^t Line, ^A^bfe SojU^re is eaual to T en fe^uares of the 
Semradius, { as, There, he would have it, in Prop, iF*. and. Here, in Chap^- 
23.) And if it be equal to T/?//, then not to ykr* For 7"^//, and T^^r,are 
r.ot equaJ: As 1 then demonftrared • and need not now repeat it. 
The grand Fault of l\is Dcmonftration ( C/?<«p» 20. ) wherewith he would 
now New- vamp his old Falfe quadrature • lyes in thofe words Page 40. line 
30,51. ^^od Impoffibile efl mji ba tranfeat per c. which is no impoilibility at 
all. For though he nrft bid us draw the Line R r,.and afterwards the Line R d^ 
Yet, Becaafe he hath no where proved ( nor is it true j that thcfc two are the 
fame Line (that is, that the point lyes in the Line R r, or that R c paiTeth 
through di ) His proving that K d cms of from ab a Line e^ml to the Ime of 
JB «-,doth not prove,that^?^ pafTetb through c : For ibis it may well do,ihoug'h 
fib lye finder c.(vid, in cafe d lye beyond the line i? r , that is, further from Ai^ 
or though it lye above' (vid. in cafe ^ be nearer, than Rc, to the point A. ) 
And therefore, unlefs he firll: prove ( which he cannot do ) that A d{z fixih 
pa-rti)f A D) doth juft reach t:) the line R c and no funher • he onely [ r jves 
that 
i ■ ^ 
