dpi) 
Touch the Circle y it may with its In- fide at another place Cut it, icc\') 
But I (hould fooner take this to be a Confutation of His §lmdra< 
tures^ than a Demonjiration of theBreadth ©/'^(Mathenaatical) Line, 
Of which, fee my Hobbius Heauton-timorumenus^ irom ^ag, 1 14, 
to I i 9 . 
And what he now Adds^ being to this purpofe ; That though 
Euclid's 2n|w«oy , which we tranflate, a Point , be not indeed No^ 
men ^an^i; yet cannot this be actually reprefemed by any thing, 
but what will have forae Magnitude 5 nor can a Patntery no not 
Jpeltes himfelfj draw a Line Ib fmall, but that it will have fome 
Breadth > nor can Thread be fpun fo Fine, but that it will have 
lome Bignefs 5 (/'^^.2,:^,i9,2 1 . Jis nothing to the Bufinefs 5 For 
Euclide doth not fpeak either of fuch Points ^ or of fuch Lmes. 
He fliouid rather have confidered of his own Expedient, 
pag. 1 1. That, when one of his {broad^ Lines, paffing through 
oncof his(^rf^^) Points, is fuppofed to cut another Line propo- 
fed, into two equal parts • we are to underftand , the Jkiddie of 
the breadth of that Line^paffing through the middle of that Poinr3 
to diftinguifli the Line given into two equal parts. And he 
lliould then have confidered further , ih^z Euclide ^ by a Line^ 
means no more than what Mr. Hobs would call the middle of the 
breadth of his j and Euclide's Point^is but the Middle o(Mr.Nob/s. 
And then, for the fame reafon 5 that Mr. Hobs's Middle muQ: be 
faid to have no Magnitude ; (For eUe^noc the whole Middle^ but 
the Middle of the Middle ^vj'xW be in the Middle^ And,the Whole will 
not be equal to its Trpo Halves y but Bigger thaa Both ^hy fo much 
a? the Middle comes fo : ) Eucltdes Lims muft as well be faid t» 
have no Breadth 3 and his Points no Bignefs. 
In like manner, When Euclide and others do make the Terme 
or End of a Line, a Point : If this Point have Parts or Greatnefs^ 
then not the Point , but the Outer-Half of this Point ends the 
Line, (for, that the Intier^Balf of that Point is aot at the End, is 
manifeftjbecaufe the Outer-Half is beyond it;) And againj it that 
Outer Half have Parts alfo i not this,but the Outer part of ir,and 
again the Outer part of that Outer party ( and fo in inftiitum, ) So 
that, aslong as u^;2y/^/>7^ 0/ Lm^ remains, we are nor yet at the 
End: An<i confequently.if we muft have paffed the whole Lengthy 
before we be at the End-^ then ih^t End (or PunUum terminanj) 
has nothing of Length; (for, when the nhole Length is paft, there is 
nothing of it left. And if Mr. I^fc^/ tells us ("as pag. 3.) that this 
