Full text: [Disquisitiones arithmeticae] (1. Band)

100 
DE CONGRUENTIIS SECUNDI GRADUS. 
\ 
lato theoremate fundamentali cum theorematibus art. 111, sequentes propositio 
nes facile deducentur. 
Si 
erit 
1. 
4~ alio! . . . 
. . . . + a lia 
2. 
4~ a Na ... 
. . . . + a Na 
3. 
j —f- a R b) 
i— aNb) 
. . . . + bRa 
4. 
|-f- aNb) 
i — a Ii b' 
. . . . + bNa 
5. 
"I - bJRa . . . 
(-(- aRb 
’ ‘ f— aNb 
6. 
-\~ bNa . . . 
)-(- aNb 
\ — aRb 
7. 
j+ bRb'\ 
f — bNb' i 
(+ b'Nb 
(— b'Rb 
8. 
bNb') 
(— blib' i 
(+ b'Rb 
\— b' Nb 
132. 
In his omnes casus, qui, duos numeros primos comparando, occurrere pos 
sunt, continentur: quae sequuntur, ad numeros quoscunque pertinent: sed harum 
demonstrationes minus sunt obviae. 
Si erit 
9. 
-\~ aRA. . . . . 
. . . 4" ARa 
10. 
+ bRA . . . . 
| —(— ARb 
1— ANb 
11. 
-j- aRB . . . , 
... 4" BRa 
12. 
— aRB. . . . 
. . . ± BNa 
13. 
+ bRB . . . , 
j— BRb 
■ ¡4- BNb 
14. 
— bRB . . . . 
(-f BRb 
i— BNb
	        
Waiting...

Note to user

Dear user,

In response to current developments in the web technology used by the Goobi viewer, the software no longer supports your browser.

Please use one of the following browsers to display this page correctly.

Thank you.