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

Ecce iam computimi numericum pro aliquot exemplis 
I. Pro n — 5 adest valor unus ipsius a, puta a =■ 1, valorque unus 
ipsius b\ puta h' = 2; est autem 
costo = -f- 0,3090169944 cos 2to = — 0,80901 69944 
adeoque 1 +4 costo = l-j-4cos2to = —\J5. 
II. Pro n =■ 13 adsunt tres valores ipsius a, puta 1, 3, 4, totidemque 
valores ipsius b\ puta 2, 5, 6, unde computamus 
costo = -f 0,8854560257 
cos 3 co = 4- 0,1205366803 
cos 4 eo = — 0,3546048870 
cos 2co = + 0,5680647467 
cosSto = — 0,7485107482 
cos 6co £= — 0,9709418174 
Summa = -J- 0,651387 8190 Summa = — 1,151387 8189 
Hinc 1 + 4 2 cosaco = +\/l3, 1 +42 cosftw = — \/l3. 
III. Pro n = 17 habemus quatuor valores ipsius a, puta 1, 2, 4, 8, 
totidemque valores ipsius b’, puta 3, 5, 6, 7. Hinc computantur cosinus 
costo = -f- 0,9324722294 
cos 2 to = -f- 0,7 390089172 
cos4to = -f- 0,0922683595 
cosSto = — 0,9829730997 
Summa == -|- 0,78077 64064 
cos 3to — -f- 0,4457383558 
cos 5to = — 0,2736629901 
cos 6 to = — 0,6026346364 
cos 7 to = — 0,850217 1357 
Summa 
Hinc 1 -(-4 Scosouo = —|— y/l 7, 1 —J— 4 2 cos 6'to 
1,2807764065 
-Vn.
	        
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