396 



Edmund Hess, 



s-^ 



Zi4, E2Z . ■ ■ -cosip 



( I Si go I = I At x\> I 

 1 I S* g'o I = 1 Ai xo I 

 I |S.-9'u| = l-i./ol 

 l|2.g„l = |.'i.x'ül 



4^/ cos (f 

 . . sin 9) 

 . . sin g; 

 . . sin g) 

 . . sin (f 



(vgl. (40d) und 

 (40 e) in § 43). 



PA 



Gl.. 

 G2.. 



sing) +i sin ffi ... (G, G") 



sin g) cos gp cos q) i —i | 



sin <p cos g) cos tp -i i ) 



—sin g? cos gi —cos g) —i —i \ 



-sin g: cos cf —cos g) « i J 



. a;i a-.2 cotg g)— (.r, 0.4+. rs 0:3 +X5 Xg) tg go+ars 0:4 = 

 ß-'o . . . — .Ti x-2 + (x, a-4+a;2 a-g— .Tj a:«) cotg g)+a:3 0:4 tg g) = 

 (.r, +X-2) cos g; — (3:3+0:4) sin q> = 0, C" . . . (x,— Xa) cos 9) — (X3— .V4) sin g; = 0. 



Zx Z,+Zt Z^ = ^l2 + 22^ + ^3--^4' = (Xi + X2)2 + (X3+X4)2+(XäTX6)2 = . . F'-^^ 



(Basisfläche der Ä' entsprechenden Polarcorrelation); 

 Zi Z,—Z<i Z^ = —(^1^ +^4'-)— (^22—^3-) cos 2 g) + 2 ^2 ^ä sin 2 95 | q _ _p.(9) 

 ^ (.Ti X2— .Ts X4) COS 2 <p — (xi X4+X2 X3) sin 2 gj+Xj Xß ) 

 (vgl. (55g) in § 45). 



. 2 Zi Zj+tggj ^2 Zj = tggp Zi Z4 + 2 ^ Zg = 



= tg g) 5i2+^22 + cotg gp %2_2 .^^2+2 tg g) ^2 ^^3 \ = q 

 = 2 g,2+cotg (p g2'-+g:,2-tg g) C42— 2 tg (f ?, C3 ) 

 , . tg f^ Zi Z4 + 2 Zo Z, = 2 Zi Z4+tg (pZ2Zi = 



= 2 ^i^+cotg g) .^22+^3^—*^ 9 ^4^—2 tg 9 z-2 ^i \ ^ Q 

 = tg (jp gi2+g2'-+cotg ff C32— 2 C42+2 tg (jp C2 S3 I 



. . 2 Z, Z4— cotg ff. Z2 Zi = cotg (f- Zi Z4— 2 Z2 Zj = 



^ cotg ff ^K + tg ff Z-2^ ^:i- + 2 04^—2 cotg (f ^2 ^^3 l 



= -2 r^-2_C2-2+tg ff £32— cotg g. S42+ 2 cotg (f £2 & j 



. cotg ff Zi Zi— 2 Z2 Z3 = 2 Zi Z4— cotg ff Zi Zi = 



= -2 ^■i'^— ^2-+tg ?■ ^3-— cotg ff .e'4-+2 cotg ff z-i z-^ \ 



= cotg (p ei2 + tg ff £22_g.;2+ 2 ^4^-2 cotg (f Sä C3 I 



2) (vgl. 2) unter 15 A)). 







= 0. 



X 1 = X.. X 2 = -X3 I 



x'3 = -X16 x'4 = -X5 ( 



x'5 = -X2J x'e = Xi j 



a/2)...Ci(l) J 



[-1* 4 2 3];4, 



S" 



^' 2 — "^l 1 



X3 



— X'2 X 4 



-Xi9 



\ a:'j = -X4 x'e = x.27 ( 

 i C,(2)...Gi(i) ) 



[-1* 3 4 2J,e; 



X 1 — X2(j 

 X3 = XiQ 

 X,, 



) -3 



i X', = 



X'2 = -X|3 

 x'4 = -X21 

 X 6 = — X29 



[_3 4-l-2]4„ S- 



I _G/2)..._^^(1) 



S2, S\ S\ S^ wie im Beispiel 2) zu 15^); 



.V l = ~"X]4 X2 X23 



X'3 = -X22 x'4 = -X; 



X :, = — Xso Xß = X15 



...[-3-2-4l]32; 



Ä5 



t X 1 = -X2S X 2 

 I X 3 = X12 X 4 ■ 

 "1 X', = 



^ X2Ö 



-X20 X'i; = — Xl7 



[-2 -4 -3 l*Ji 



i c/2) . . . C2(i) 



bedeutet die Polar-Correlation mit der Basisfläclie: 



