60 GYLDEN, UEBER DIE BAHN EINES MATERIELLEN PUNKTES ETC. 
sn (tt — iw) = 
sn (it —F iw) = 
en (it — iw) = 
en (it + iw) = 
dn (it — iw) = 
dn (it + iw) = 
sn (T— w, k') = 
sn (T+ w, k') = 
NOn 0 (J02 — g203) (J2 + i) = Vi + (900 = 4291) (ga =) 
klg:02 — gi0,)2N gg 
3 V 0:0:(492 OR g201)(g2 + GD) Vu + (go + 20) (92 = gi) 
klgi02 — gi0)2N ggr 
(gt bye g20:)(J102 + 2 01) + Vu tr y? V 00 Olga TR ga) ( VE ml 9) 
k(gi02 — g:0:) ER 
(902 — 20) (ge ah 20) Vu? mm V0:0:(ga == gi (g2 FE gi) 
klyr092 ST 9201) 2V ggr 
Vu? + DE (9:92 = 4201) (ga = 4) = Venln 2 + gJ201) (ga => gi) 
(gi02 Fr 9:01) 2V ger 
Vu? 2? (992 CE Aga 3 Gm V 0,02(9:02 SST ÅN 0) (92 DE 9) 
(902 — g20,)2N gar 
V 0.0, 026 ol 2— J20 ga + gi) = Vu FF (0: 2 = 20 Ig2 — gi) 
(9:02 — J20:)(g9192 F 9203) F Vä +” 2 N 00 lg — Hg FI) 
V 0:02(g102 2 20 1) i ar 9) Fr Vie + 7 (g02 == 20 i) (ga ET 9) 
(9:92 — J201) (9192 HF J20) — Vie? FP V 0001:(92 — JdG2 F JD) 
k (902 — qj20 1) 2V gar 
en (T— w, k') = 
en (+ w, k) = 
dn (T— o, k') = 
dn (e to M= 
(9:02 — J203) (J92 + J291) + Vit 2 V 0:01 03:(92 — (92 FJ) 
k(gi02 — g20:)2N gg. 
J280 1) (J02 + J20 NE Vie Fe + 22 NV 020:(92 — JD) lg + 9) 
(gt 2 
> Na ala + 2 (g:02 — g201) (92 + gi) F V 0201:(9192 + 9201) (92 — Jr) 
RE 920:)(9102 F 920 oo) + Vi + FY ”V 020:(92 — g)(g2 F JD) 
AN EEE + 2(q102 — g202) (92 F Ja) — V 00 (9192 -F J202) (92 — JD) 
RN J20 1) (90 ot J20 0) — Vu Fo 2 22 NV 0:01 01(g2 — g)(g2 + 9) 
