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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30
# Folio 24r, page id 00067992:0047
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Radir extrabenda est duplex, Pura vel at
focta Pura est cum. Potentia Radicis
equatur datae quantitati; afsecta cum. for
matum. ex pluribus diversis radicis consitae
Aanquam membris,
potentiis datae quantitati aequatur.
exicaa si X2
seu si quadratu ipsrusXa
quatur dato ab, sit x= vab, qc radix pura,
idem e so sit X = 45 sit enim x- V p5
ut
sed si sit X + 3X2= 45 ita non soli surdoso,
lido sed pterca triplo ipsius quadrati aequalis
sit numerus 45 tunc extractio eo pura. d. affecta
6
et sciendum est inventam raoe hactenus ha
beri oes raves affechas, aequationis quadrabi,
Riquadraticae
cae cabicae e quadrato quadrate reducendi
ad puras; sed hanc methodum oce ulteriu
promotam ad aequationes surdesolidas et
mo infinita illae vel massionabiles evanestant. altiorre, de quo suo loco.
Radix purael c quadratica
vel cubica vel biqua dratica vel sarde solida &c
adoque variat tat modis quot variari possunt potetiae.
s
Quanquam, ut suo loco dicemus radices sub porentiis
epotentiae sub radicibus serundum centas consi
draoes comprohendi possunt; mo dantur sive pre
tentiae sive Radices extraordinariae quae sub
Eactenus explicatis o cnfinentur. Sed d his suo loco nam pertinent.
6
semet
xtractio fieri pt velcomnino vel s gradus ex 82
ad Transcen-
dentes