Full text: Die Algebra (Theil 2)

385 
Man erhalt aus der Gleichung: 
(-r 2 + 370r) -f- (— 2/-+370) j — 5 2 . 
Die Rechnung stellt sich nun so: 
9261=20=/' 
— r- = — 400 
9661 
+ 370r=7400 
2261. = 7 = 5, 
— 2/= — 40 
+370= 370 
+ 330 Divisor. 
—2/5 = — 280. 
— s 2 =— 49 
— 329. 
+3705=+2590 2261. /+5 = 
Vieta rechnet so: Proponatur 370/r — q aequari 9261. 
92161 _ _ 
//2 7 
Planum restituens 4| ( j 4 49 
Planum restitutum 
96 
61 
Planum principale minuens 
74] 
0 
Excessus plani restituti, 
22 
61 
reliquumve resolvendi avulsi quadrati. 
Coefficiens longitudo 
3 
70 
Duplum lateris primi 
4 
Divisor 
3 
30 
Plana addilitia J 
2 
8 
1 
49 
Summa planorum addititiorum 
3 
29 
Planum ablatitium 
25 
90 
Excessus plani ablatitii, 22161 
aequalis residuo resolvendo avulso | 
quadrato. ! 
Itaque si 370n — q aequetur, fit 1/r 27. 
Egens allgcm. Arirhm. n. 25
	        
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