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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 87r, page id 00068049:0175
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itaque videfui saccedere haec Methodus ad reddendam explicationis
pro parte
ope exharibilem
V X + . X erc. faciendo X = inyy t n y + p, + tqu
idem videtar succedere pro _ Vax + bX G quae cota faciendu
extra ribilis
m areme nominatore restat in extraribi
et, ob imparem numes hdimensionum
latas ergo non debet et in nunda numeratore restare.
Ut ergo molius calculum subducamus, patet ad ex trahibilita
tem formula X +.. XCrc. opos esse tantum btans
aquatiomau comparatitiis quatuor pro X.. nibus pro X una
quamvo Et ideo pro X ascendi debere ad y
perfecta extractione super omnia opus est pro radicibus
hiniversalibus. Et hauc puto unicam esse viam
oc  perfecte resolvendo
sit ergo formula quae eanque ex qua extrahenda sit radio
quadratica. Ea sit dimensionum e
assumatur valor
ipsis X, in quo y sit dimenssonum n habebimus arbitrarias 2n +)
opus autem habemus  literis e aequationibus
seu literis C-1 si e sit par, vel e, si sit impar. sed si
ergodebec
omnimodam velimus extractionem ut pro radicibus universalibus
oportet es in casus e imparis  facere denominatorem ipsius
Naloris Y extratibilem. seu non ero itaque in numeralore
sunt arbiliaris 1 = I in nanipato nominatore qui par erunt
nF n: 2 =I et fient arbitrariae n - 1+ n. 2 - 1 seu
Haec alia quoque Mechodo iniri possunt sit 
C
beune
fiet 3n = bG:2 =
.. etc. formula, ubi e par aequunda quadrato, op est aquation  radice
cujus  duensionet sunt l. 2; opus est ergo et opus est explicatione ut sit X= 
e
v
12..
apu et aequationibus saritibis e  haba vero s Ascenditur ergo ad Himentiones ne
2 Ca
et aequandum est quod prodit, quadrato a radice olihart dimensionum ne–
et prodeunt aequationas comnparatitiae ne-1, habemus arbitrarias ne: E (=1) + 2n( 1
sit 2nC -2 = ne + an, seu ne = An + 2 siu e= 4+ 2 iaqu num
habemus salis apbitamum Et. male suppossin in radicibus rex n reddendis exra
subilitus. Ino quans radice sufticere undi huberariam