Full text: [Höhere Arithmetik] Theorematis arithmetici (2. Band)

30 
SUMMATIO QUARUMDAM 
W 2 — 2 r* n n [9] 
lam facile perspicietur, r* n esse vel = -J-i vel = —i, prout scilicet k vel 
formae 4p-)-t sit, vel formae 4p-j-3, Et quum sit 
2 i = (l-)-z) 2 , — 2 i = (1 — ¿) 2 
erit in casu eo, ubi k est formae 4jjl—{—1, 
W =+(l-jadeoque T = U — -\- \/n 
in casu altero autem, ubi k est formae 4pt —)— 3, 
TF=+( 1—i)\Jn, adeoque T= —U = -\~\Jn 
18. 
Methodus art. praec. valores absolutos functionum T, U suppeditavit, con 
ditionesque assignavit, sub quibus signa aequalia vel opposita illis tribuenda sint: 
sed signa ipsa hinc nondum determinantur. Hoc pro eo casu, ubi statuitur k = 1, 
sequenti modo supplebimus. 
Statuamus p = cos 4- w -J- z sin 4- to, ita ut fiat r = p p, patetque, propter 
p w = — 1 aequationem [8] ita exhiberi posse 
W= 2(1 + p” _s )(1+P _4 )(1 + p" _0 )(1+P _8 ). ■ .(l+r” +4 )(l + p J ) 
sive factoribus alio ordine dispositis 
w= 2(1H-f. 2 )(1 p- 4 ) (1 -f-p°) (1-Hp- 8 ). . ,(l + p-»+ 4 )(l+p— 2 ) 
lam fit 
1 -f— p 2 — 2 p cos 4-10 
1 p 4 = 2 p —2 costo 
1 —1— p 0 = 2p 3 cos-|o) 
l-j- p —8 = 2 p~ 4 cos 2 to etc. 
usque ad 
l-hp -n_H == 2 p — * n + 2 C0S {frn — 1) <0 
1 -(- p n ~ 2 = 2 p" n ~ 1 cos (|- n — 4-) w 
Quamobrem habetur
	        
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.