Full text: [Nachträge zur reinen Mathematik] (10. Bandes 1. Abteilung)

[VIII.] 
[DER BILINEARE ALGORITHMUS.] 
[Aus Scheda An, Cereri, Palladi, lunoni sacrmn, Febr. 180 5.] 
c 
[S. 37] 
Es sind gegeben vier Grössen a, b, A, B; man bildet daraus nach fol 
gender Ordnung 
2 a = a -f- b, b'b' — ab, 
2a" = a'+b', b"b"= ab', 
w n 1 / n 7 in'2 rr 1 rt 
2 a — a -j- b , b = a b , 
aa — 
¿6, 
II 
0 
cc = 4rtV, 
r> 
a — 
// 2 , 
II 
-*). 
c ~ \a c . 
"2 
rt — 
A" 2 , 
C = i(rt 
"2 < tr> t 
c = 4 rt c 
etc. 
Man mache 
Grenze = h. 
x = 
4 a ri a" x a" 
ca* a" x a"'*... 
4 
c / a’y / a" \* /a'"Y 
4a' \a") \a'"/ \a x v j 
cV* 
4 6" 6'"*... 
4 0 — 6 / a" Y ( <*"' 
X = Höf \är) \öiv 
so ist 
I a — h (I -j- 2 x* -f- 2 07 lc -j- 2 ¿r 36 -)— .) 2 
< b = Ä(1 — 2<r ,4 --|- 2<r 16 — 2o? 36 -| ) 2 
( c = A (2 -f- 2 et? 0 -f- 2 07 25 -f“ - * •)*• 
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