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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 20
# Folio 2v, page id 00068038:0004
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Generaliter si sit quantitas
sit ergo series ad crculum accommodabilis: 27+ a2+ e aa Peto Z aequ. a. scribatur
a squ Df. fiet gy 4fZ +3 f vel scibendo Z aqu. Z + 2f aequ v. fiet: . cuiue
seriei summa Eritque terminus seriei cujusi d
Eritque o f. terminus derier cuique magnit
vo- ff
posito ser cujus niam radius sit 2 f. posito A dv esse 4 f. faciamus;
v aequ X + h fiet.
u
unf
oit corC
eumque diffe dx. dv. dZ sint aequales: nempe 4f. debet ded dcg esse eham equf
jam ponamus de aequ X +g. habebima
aequ
conferamus terminus  et D. fiet: h aequa 9 +b
et fgg + GB + bb = f aequ. g9 + bg +c
X + 29X + g9
+bx+g
ergo fiet: bb -ff aequ. c.
qui termini cum omnes sint dati, patet nihil a nosis comparatione actum,
nisi adhibeamus artificium novum, iametir
est series area circuli cujus d radius est A f. posito du aequ Af
vo-f
Habemus autem summam seriet
pono Z aequ.. lx + m.. fiet 
na
aq aequ dlx aequ h. constanti dutratu.
de per superiora seu (z
e (2Z+
Uxx + 2lmx + mmaequ
+hex+hm)
et confferendo fier
 et haequ 2f
haequ - 2m et mm = 2 mm aequ  ff. seu f aequ- mm. seu faequ. M
jam vaequ lx. et dn aequ +f aequ d Ex aequ h. Ergo haequ 4f. sed
suprae h aequ. 4f. oritur ergo impossibilitas. Itaque faciarmus: Vaeqo qu+n
et loco
scribamu.
vo-
 et fiei:
ep pon-p
Bygxx + EpgnX + un 4
conferantur d et  fies: Paequ. B qu ex =H 2Un aequ um + hl
sive alnaego am + gh. fiet L aequ 2m +t. et denique fiet:
nm+hm aessu. 4m Amh+tih  un- ff.
Est autem haego X
h aequ l dx
et do oqu 4dx. jam do aequ. 4f. per superiora Ergo efaego q ax
seu 11
hm. Ergo haequ Df, 1h5
ergo, de aequ. 4f. Ergo h aequ 4lf. jas aequas
Ik
anumL aequ. 2m+h aequ. h. Ergo apt 2th aequ din. seu h aequ. + m 3
nunc
4f
2n
n - 2f
tam supra
quo valore substituto in aequ. or fiet: un +
am aequ
an e
M EI nrs + 4m. amf. p. 25
n. f n
4nnan- 2f
seu nn seu u nu () n. 25 + 4 netre nn fanis aequaez. (2I  n- 2
seu (2) n - 2f + 4fn - 2f aequ. n- f seu: 
 andra h af- 3f aqu rn -  et sit 4 aequ 7 quod est abtudum.
a 16rif