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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 150v, page id 00068199:0300
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annar cbus
Metio Diameter ad Peripherian
ut
hoc modo ex Archimedis numeris limitibus derivutur
Ratio in qua Peripheria major vera....
vel multiplicando pert
Diameter
vel multiplicando utrumque terminum per 16. 112
Ratio in qua Perioheria minorvera..
Addantur invicem harum rationum termini
qui sunt termini Metii, quae ratio tam prope accedit ad veritatem
ut Ludolphi septem notas assequatur nam si fiat ut
113 ad 355 ita 1000,000,000 ete ad aliquod quartum
facta operatione prodibit 3141592 92. et ct
Ludolphus habeat:
2141592653589798238 46264 338327950288
cum
Haec Broscins lib. de numero perfecto Apologiae ejus pro Aristo–
tele et Euclide contra Ramum adjecta pau. o 160.
in quo libro multa alia ingeniosa simul et erud ita
quanquam autem Broscius memoriae taubum causa id metu
Archimedaa
Metii rationem ex Euclidae a oc modo derivet, videtur tamen
dmo a aliquod majus subesse, et simili via aliproappropin–
quationes longius produm posse. vide amu:
sminus
Ergo hnth.
hm
ujy
Co p
n +f
m
2
m
Det
IC - l9
a
u
Ratio vera
ratio justo majons
peripheriae
id P
justominoris M
W C= c
Ergo
IV
C
Ergo
hn + hf + lc -9
hm + 1b
et
lo
Unde si hf et l9 parum admodum diferant multo minus scilicet
quam ce  f et 4 tunc etiam multo propius accedetur hap
exp ratione hn lc propius multo accedetur ad Ed quam istan vel c
in
hm + lb
I1 ad 355
qua
memoriae causa
Peripheria
22
1
hnLhs
hm
eo
aego le - l9
t
as