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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 23
# Folio 31v, page id 00068041:0062
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AB. 1.
AC S2.
BD aequ. 1 = = CC
C
C
AE, k
DE aego 1 - BD aequ1 - Si - cc
AEaqu Ad +DE aequ (=cd + 1+ R2 c9) -2 Si 
seu AE aequ 12 - e (4- _CC .5=
2E
Si C sit 12 erit R aequ 12 - β542 seu 2 - S2 E+gd
sisit 2- S2 siet k aequ 2 = 251 = = 4- 4 s2 +2
seu fiet K aequ 2 = 2- a f2 aequ AF
. st 2 in f2 - 4S2 fet fiet: K aequ. 2 -  st-
seu
L aequ 2  4 - F. 4 si 4 - si
e
1. +E+ B+
2==X
t
13
15.pC S
∞
c.. 4
Z= FC
ii
Ergo ries tatis: modo composita ex. sit C aeqo 12 - s2 fiet k aequ d2 - A - 2C25
dE sedes numerus nonlinea Bt aequ a 2 + s2 seu R aequ Ed 2
taift qu  2 = 2- 452 seu k aequ 12 - 12+ 12+ 52
 seu A equ. 2 b2B3- BCC)
modo formetuur ex A etB. quo ex  A eFC
AE aequ. 12 - 12
AF aequ F2-.
vocitur f. Bsi q.ficti faefu. 299- i quaeritur quanteis G aequ. 12 - 12 + 12 + 12
eadem modo firentur tem qlo e
EE
u
ve
 F
t
a
A EC d
Octangulit p
+
 a
e
atice
83
2
2
Eq E ad
et
Habemos ergo: AC, aequ 12. catus inscripti quadrati a
sen ZCC BB + L ABCC aequ 4_ B
set cC
eEC
(4 +4F2 412C 48
0E2
a 2
se Laequ 2. = d2, 4ti  4f2- 4fr equ. AG. et E
Ergo l est quantitas code.
A. B. C. quo ex B. C. D.
B. notetur
=3AE +qu. 2- s2o comto
aequ
X
seu 2-221 ( -1) de + ∞
e E
∞+L
Si
tini
459
Sede langulie d
8
 etset
32 guli E∞E
5
d
c
reunferentia quadrati 2 12. octanguli 8 P2 - s sedecang ili 16 d2- S2t trc
e
 sint  tres circum ferentiae A. B. C. namdius laterum ipsius A sit Z ipsius Berit 1
e
ipsius (erit 4Znt late primi 1, secundi in tertii n.
 erit A aequ Zl. Baequ 2ZM C aequ 4Z. jam naequ 12 -l
e
et n equite -   quadr  2 m - 2 quadr = 2 aequ. ll +2
seu im- A m = 2) + l aequ. 4 seu m - amm  D + Il aequ (D) seu 
l
seu l aequ m Va-mm et naequMM. nn et laequ. n 14- nn 14- anntn
seu laego n. 2 - nn. S4-na est autem n aequique C
23
2B
habemus Zre
ut A aqu  R. seu n: _ : C. 2B. seu 1: 4- nn :: C. 2B Habemus ergo A per  C et B.
habemus, et Z per B. et C ergo habemus Z per BgC. rursus laego = A aequ. 2m A. seu l. m aeque 2A: B
rursus lim aequ. 14-um aequa = ann + n aeqo 2 - nn. Ergo 2A: B aequ2- pn at paulo
ante erut. 1. VH -nn :: C: 2D ergo fiet 1: Y2 + 2 :: C: 2B. seu Caequ. 266. Y2B0+ 246
et Z aequA: DE noqu. m C. ergo IV seu BT: s:: Y: Issa rY. et B, aequ Ys: fs H. Est autem 
et
a+
 
+
2
i e 
2
eA C aequ se