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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 78r, page id 00068200:0157
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 72v); this page is its right half.
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Utamur progressione subsectionis
1 ut CHL
perpetuae. or
L
area
BGC etc
ambitus polygoni inscripti. b erit ambitus polygoni proxime
minoris
ba, seu CA + HL + LC, in AB. Jam area polygoni
dimidii
hujus proxime minoris fit ex duotu ambitus e, in dimidium radium
 D in fulcium AF. Ergo ba F eCAF
est autem AFp BFB + ABH. et BFp e posito n
2n)
esse numerum laterum polygoni proxime conpropius convergentis,
quia BCr C.
Et
fiet
CVa-
Ergo BG1
G
n)
et BFp.
a. 2ba
et b
M
2(n) Ergo AF+ a- b
sae- e
e
((∞) Y AF. et BEr a - Va
b) + a - 2a Sae - V + a  l
+n
1) V2a -2a Vae- V
In
4u
m
+N
quia nei b, erit eri 12 Srae-- sae F
et fF
b
24a 2 - +Sa -2
e H 12 52 - 13
f 1 24 52 - 12 - 13
9 1 48 12 - 52 - 52 - 13
et gH 4Ze Y2 - f
Ergo 2Z c
seu 279- C9 
e
92
4stH
2
8
ergo
27 =
e
S
2Z- C
e
1() 4 (22)
4u
Ergo BG
polygoni proxime inscripti
Et  ambitus ejus 2n V2ae-2at ae- b
ponamus BCBa, erit erit  BFA a
2
14
b
12aV2 - 14- 1 a
f1 24a1 2 - r2 - 13
Y2 - e
seu 92t
Ergo seu fier = 4q qu
N
seu bea. Ergo
4n1
e
4f2YI
2 = 3.
2 - e
5 47df
fr
4
= 2f3 seu 229- 8Z57 eg- 2(3 47-28
seu
egt -24
Hujus vuloris ope habebitur valor ipsius 7, FHendus ex
29 - 8fe per
pe cuius ope tollenda est ea litera ex valore v. Cg. ipsius f. qua sublato
sin
sifini
c
en
+
a
c + e
potest h. haberi
Mane
11
si sit
et esse 3.
seu
Z
B,+
15
2n earteq
Ergo y
SnC d
infin
2y
2712
per quanlicale
fI