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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 119r, page id 00068201:0237
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serits per radicum extractionem per seriem infinitom
Omnis Radicum extractio nobis novum quoddam genus offert seriei contitue decrescet
cujus haberi potest summa. Et Radicis quadratae extratio summam exhibet fractionum
aliiues
quarum numeratores sunt potestates numiri lati, exponentium geomchica progressione creneu.
tium,
b
16
ut si numerus ponatur esse 2 t fient numeralores illi: 2.
t
s
16 
etc.
256 65536, 65536 X 6553
Unde patet si b ponatur=
posteriores terminos fieri
indicibiliter parvos, qua
conjule quae de si ejusmodi progressione ssummanda onotavit Gerickius.
256
2s
16
1280
12
536
inc sequitur nullas eperiapp.opinquationes haberi posse radicum  surdarum admirabiles
quae ad quadraturas quoque figurarum tansferri possunt.
Esto quadrans circuli ABCIA et abscissa quaelibet ex AD a centro AE. =X. et sinus
y = a = X. Ergo:
rectus CE = y. Radius AD = AC = a. Patet esse:
Y = V a =X. Hinc usus essp. potest praeclaru approinquationis Extractionis
sive Evolutionis Appropinquatorie ad quadaturam appropinqualoriam adrutabile
est enim gadx composita ex terminus quorum imus a, secundus tertiae
quartus 
Sed quia video etram divisorem valde
cresceres hinc metur ne non satis lacremur
V
a
a-
anm
Nous. Blunchard ma dit que la salpetre se fait du Teprer en france.
crons Rochas a de M. Blanchard, son pere avoit este
q