134 KANSAS UNIVERSITY QUARTERLY. 
TYPE Il. 
> ie) ie Ay | Ke AV Pe ee IE 2 as na ABM. BOY Oe 
By By Git AB) AG i aye Cea. ome i ay |) ei 
Ee Mle ey Ory! Ante Ce ae ei Orme 1 ac Meee L 
EOD SG RO eR ee OS ARES L, AP BEL VID L Poi Gl Gee] 
ik : ae = . 
be VoL 5 a ag ales. | Kae, ee a kay Ze 
lat eC NM sla) MAC ar aS Soy. era Me la: WD Tenet 
aly ah aCaaeT a Dei uel CIT OBR \a. (Do Cae 
age Deneet) ap cibig hehe m cis eter) ain Dig Caaee 
IK: Ya 41 1 Ke Me te aly 
ay (Dy Ct) a5 2by e, 1 
ae Deetes al San O} ad Cry 
te Ge LOS |: Ape gio! 
== +a 
a Ra eae ey hy aaa 
Ad Ci eel lac a) eG el 
| 
a Dy aes rl ay ope crest 
Ase NOs Cian tl Ee De Cyl 
The coordinates of the point A of the invariant figure are (a,b,c); 
those of 1 are-(a,,b,,c,); those of GC )are(a,.b,,c,); p andmamam 
the ratios of the direction cosines of the line 1. k is the character- 
istic anharmonic ratio along AB; k!* is that along AC; and ais the 
characteristic constant along 1. 
TYPE IIl. 
' | 
Koran ey Dae le A Ker Va Ze 2a de ea 
a) ly Gu An gil ey Sit hal, SID pe aO P|. = Waa ase ama 
ae Ds ses aah Di iCa net a. oP Gq #Ol> it po kawagee 
Lop) gh 2° Le" Ge. Sieur Ok: fee Le Pi 91 9 
ae ae Sites = gs 
| | , = | 
Kay eee ie aca beni AR IESE eT 
(a) DP Se Yor Fie Oat Stee 2 ay bee). wa Sin gc amar 
ja, b,c, 1 a4, eDinicar i ewer mcr, Ieee es i 
Ii Pa 4, 9 a OCG HAO) [ft py q. 0 bin De ie 
See zi T i ye: BY ocaes 
ce op cae m a glee al 
EPG WO Nhe AD Ga 20. 
IDS e Sale eg we) SAG Tec 
en 
qi Rvene Aig eel ane hy am 
Ar idly. .Ce wits ta, bee. Fa 
| | 
aie Dyn nem I) ay Daeer a 
2 bP a ageOl © 4 pee G,,0 
