(2pl) 
Touc b the Circle , it may with its In-fide at another place Cut it, See.) 
But I (hotjfd fooner take this to be a Confutation of His Quadra- 
tures, than a Demonflrationof theBreadth ofa{ Mathematical) Line . 
Of which, fee my Hobbius Reauton-timorumenus , from pag. 1 14. 
to p. 1 1 9 . 
And what he now Adds, being to this purpofe j That though 
Euclid' s jStySof , which we trar.flate, a Point , be not indeed No- 
men Quaniii yet cannot this be actually reprelented by any thing, 
bntwhat will have fome Magnitude $ nor can a Painter, no not 
Jpelles himfelf, draw a Line lo fmall, but that it will have feme 
Breadth ; nor can Thread be fpun fo Fine, but that it will have 
fome Bignefs 5 (/Mg. 2, ?, 19, 2 1 )is nothing to the Bulinefs ; For 
Euclide doth not (peak either of fuch Points , or of fuch Lines. 
He fhould rather have confidered of his own Expedient, 
pag. 1 1 . That, when one of his {broad) Lines, palling through 
oneof his(^rf^ji) Points, is fuppofed to cut another Line propo- 
fed, into two equal parts 5 we are to underftand , the Middle of 
the breadth of that Line, palling through the middle of that Pointy 
t© diftinguilh the Line given into two equal parts. And he 
ihould then have considered farther , that Euclide , by a Line, 
means no more than what Mr. Nobs would call the middle of the 
breadth of his s and Euclide s Point fis but the Middle of Mr. Hobs’ %. 
And then, for the fame reafon , that Mr. Hcbs's Middle mu ft be 
faid to have no Magnitude ; (For elfe.not the whole Middle , but 
the Middle of the Middle, sn\\\ be in the Middle : And, the Whole will 
not be equal to its Two Halves 5 but Bigger than Botbfyy fo much 
a? the Middle comes to : ) Euclide s Lines mull as well be faid to 
have no Breadth ; and his Points no Bignefs. 
In like manner, When Euclide and others do make the Terme 
or End of aLine, a Point: If this Point have Parts or Greatncfs t 
then not the Point , but the Outer-Half of this Point ends the 
Line, (for, that the Inner-Half of that Point is not at the End, is 
ntanifeftjbecaufe the Outer-Half is beyond it.-) And again, if that 
Outer Half have Parts alfo ; not this,but the Outer it, and 
again the Outer partoi that Outer par /, ( and fo in infinitum. ) So 
that, as long as Any thing of Line remains , we are not yet at the 
End : And confequently,if we mall have palfed the whole Length , 
before we be at tire End } then that End (or PunUum terminans ) 
has nothing of Length s (for, when the whole Length is paft, there is 
nothing of it left. And if Mr, Hobs tells us ("as pag. 3.) that this 
