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