IQQ Prof. Cayley on Quartic Curves. 



pvp,, and the point is then situate on a convex portion of the 

 even, ana me p . g then gltuate on a 



0V al; or >t s oddly even ^ P the ova l is (or ,s 



concave W™£«^™^ *Z*r of points of intersection by 



^PreSthesaL considerations apply to the case of an oval 



l g£ dS^SSS* the oval at all; that is, the 

 ^JS^^SSSSo would, as it ought to do 



sextic ;> tbe tangent , c ^ cannot be for 



which is =0, A or 4, aim nothing to prevent it 



tansent circle whatever = 2; but tfceie is nun g r 



we do not ohtam m tne lmmeuwic ^ & , 



T^ntSe °Awhirdoe?not m e%, then, there exists 

 tL S immediate neighbourhood of the tangent circle a circle 

 in the immeOiate ne, B A or B • and we may assume that A 



which does not meet eithei A oris , an ? 



and B he on *" «^ "J'^^™ the same side with A; 

 sid e ^^SJjg ZZlr the opposite oval B'. 



s^^^tfS** the 



two ovals are it is clear „ ^^ ~^te ; consider 



