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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 2
# Folio 78r, page id 00068202:0155
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cum sit imposribilis ista solutio, hinc patet, ulcumque procedas quadrando
3+2. (vet 5)
nunguam hoc methodo radicem extrahibilem fore.
si posset ergo in casu aliquo simili  quatrepropositus 4ita dividi vel multiplicari per mnizum quendam aliosue plures,
nlegios vel flactos, ut productus ejus multiplicatam per f6. faiat quadratum habebimus propositum, et poterin data
radis eliminari Radices surdae. Ergo opus est solutione hujus problematis: Datis duobus nmmeris, alium, alterius eorum
multiplicem reperire, cujus quadratum in alterum ductum faciat quadratum At matum in 00 est, quod nunquam quadratus ductus
in non quadratum, fpcit quadratum Huic vero idalo sic remedium exeriemus: multiplicetur 6 ter 6 pate 6 esse
imo non opus est quadratum unius in altrum ductum facere quadcatum, sufficit ipsum simpliciter in altium ductum facere
quadratum. Ergo datis 2+2 - 2496. Quaeratur multiplex de 5. vel cujus multiplex sit ipse 5. integer vel
fractus, qui ductus in B. producato quadratum. Talis est ipse 6. ergo pro 5. substituatur 6. fiet 6 = 2 R46. Imo
ernrq antequam debeat duci in 6. debet reddi quadrata. recte ergo supra et redit difficultas prist. Ubi ergo numerus cujus
B ducrum  in 6. faciat _, is numerus non pt integer, nec epotest esse atum, nisi per reductionem vius  est tum
etsi non appareat si ducas in 6. producetur 36 sed hoc jacto inferior postea non est quadratu. Nanqua tota
fractio est quadratum, nisi vel aterus vel neuter  terinorum sit tItum. Ergo 6 multiplicetur per  Sed hoc
non est quadratum, etsue productum siat Dtum. deo neesse est ut fractio data tam ante multis licaven quam
 redum possit ad Utam, quod fortasse impossibile aom ergo breviter reducitur problema:
dato numero invenie alium (inlegrum vel fractum) ita ut ejus quadratum, poster olis utam in ita ut his duobus numderis in se
invicem ductis, vel per se in vicem dioisis) product) sit quadratus.
si taleo potlena solvi posset, inverfibileo, possemus onmitus ratiuts
temper pluris radices sindas reducere n unam, et per consequens elimvare ad rndicepsindus. Hqa oibile
5. X 496 15 1.
A46 - 195
R9 9 - R9 4.
et 25- 21:
46
R4 16 - Nq 9. = 7 R,
S
+
3+ 2 = 2196. = 5 - - 1 a6= 25 + 4 5- 49 - 6 f 2 Rq6