ter for a large Confutation : yet I am fcarce inclined to be- 
lieve, that any will beftow fo much pains upon it. For,if that 
be true, which (in his Preface) he faith of himfelf , j4ut [olustn* 
fame Ego^aut foluftion infanio : it would either be 2V^^^/f/f, ov to 
m Purpose. For,by his own confc'ffion, All others^ if they be not 
mad themfelveSj ought to think Him fo : And therefore, as to 
Them, a Confutation would be needle fs ; who, its like, are well 
enough fatisfied already : at leaft out of danger of being (edu- 
ced. And, as to himfelfj it would be to m purpo[e,¥oVi\i He be 
the Mad man, it is not to be hoped that he will be convinced by 
jReafon : Or,if ^// IVe be fo ; we are in no capacity to attempt it. 
But there is yet another Reafon, why I think it not to need 
a Confutation. Becaule what is in itjhath been fufficiently con- 
futed already / (and, fo Effedually i as that he profelTeth him- 
felf not to Hope, that This Age is like to give fentence for him ; 
what ever 'Nondumimhuta PojterUas may do. ) Nor doth there 
appear*' any ReafoUj why he fhould again Repeat it , unlcfs he 
can hope. That, what was at firft Faljfe, may by oft Repeating, 
become True. 
I fliall therefore, inftead of alarge Anfwer, onely give you a 
brief Account, n?^^^ is in tt^ d^^where it hath been already Anfwered. 
The chiefof whathe hath to fay, in his firft fo Chapters,, a- 
gainft Euclids Definitions, amounts but to this, That he thinks, 
£//rft^/5. ought to have allowed his Point {omc Eigne/s j his Line^ 
fome Breadth ; and his Surfacr^(omQ Tkieknefs. ^ 
But wherein his pag. I 5 1,152. ii§ folemnly under- 
takes to Demonftrate it s (for it is there, his 41th Propafition:) his 
Demenftration amounts to no more but this ; That, unlefs a 
Ling be allowed fome Latitude i itisnotpo£iblethathis§luadratures 
€an bsTrue, For finding himfelt reduced to the(e inconveni- 
ences i I. That h\% Geometrical Conflruiluns ^ would not confift 
with Arithmetical calculations^ nor with what Archimedes and 
others have long fince demonftrated : 2. That the Arch 
of a Circle rauft be allowed to be fometimes Shorter than 
its Chord, and fometim#|»^ longer than its Tangent: ^.That the 
fame Straight Line mnft be allowed, atone place onely to 
Touch^zud at another place to the fame Circle: (with others 
of like nature;) He findes ic'necefTary , that thefe things may 
not feem Abfurd, to allow his Lines fome Breadth, (that fo, as he 
(peaks . While a Sraight Line rvith its Qut^ fide doth at one place 
Touch 
