Full text: Appeltauer, Ignatius: Elementorum matheseos purae pars prima continens algebram

— 142 
pla prior pars per hanc secundam, ut habeatur 
duplum productum ambarum partium, vel 2AB 
— 420, quod a residuo 469 ablatum, 49 relin 
quit. Postremo auferatur quadratum secundae 
partis radicis, vel B2= 49; quia in hac sub 
tractione quantitates se destruunt, numerus 1369 
est quadratum completum, et V1369=37. 
274. §. Binae subtractiones terminorum 2AB 
et Be una vice absolvi possunt, ob 2AB+Be 
= (2A + B)B. 
V13169- 30 4 7—37 
A2= 900 
49 (A= 30, 2A=60 
B= 469 : 607 
469 
(2A+B)B 
2A +B-60-+767 
0 
Inventa igitur secunda pars radicis, B=7, ad 
datur duplae priori parti, summa 2A-B=69 
+ 7 — 67 duçatur in secundam partem, et pro 
ductum (2A + B)B=67X7-469 auferatur a 
primo residuo 469, quem calculum juxtaposi 
tum schema repraesentat. 
275. §. Quia in systemate decadico nota 
rum valor loco determinatur, quem respectu uni 
tatum occupant, calculus in extractione radicis 
adhuc simplicior fiet, si zeri ommittantur, qui 
ad dextram terminorum A2, 2AB, et 82 occur 
runt, dummodo notis retinendis locus debitus 
assignetur. 
V36937 
A 
A= 3, 2A- 6 
469 
B= 46: 67 
469 
(2A+B)B 
2A+ B 67
	        
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