ie 2 
Vol. 1V, No. 8.] Geometrical Theory of a Plane Non-Oyclic Arc. 393 
[N.S.]  - 
called a minor chord, and the corresponding arc P’Q' a. minor 
arc, P’ being always supposed nearer P, and Q’ nearer ; 
convex arc, evidently, cannot have a point of inflexion on. 
it, although it may have a point of undulation. Here again the 
incong! uuity of the ordinary couception of a point of Teikeeee 
is brougit out, 
convex are will be called cyclic or non-cyclic, according as 
there is or there is nage a cyclic point on it, 
m I,—No circle can meet a non-cyclic convex arc ‘at 
more than dikes potas 
If ag - 
a circle 
non- a a convex 
tinuously varying 
the radius of the 
circle, we can 
m 
tovether as we 
choose. Again by 
keeping Q and R 
fixed and conti- 
Sir ielep changing 
Fig.l. the radius of the 

or even crosses Q 
an moves 
Fig 2 towards P. 
LG .%. 
