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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 232v, page id 00068194:0464
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# Lines: 86 recognised, mean confidence 0.76
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# After the first blank line: the recognised lines in reading order, one per line.

e sehum
ea tamen ege, ut harum biscerptionum intra 2N 10 ocadentim
maxim umerus non sit major nnteiuum cgmentum  non sit mains
sumands erg forcotomnes viscerptiones infra 6. id  omnes iisceretiones quini
vermnmnis sectio bii arpiienum tmriquarum cunq est u 10e, dno
gole caram Raendae ea detrahenda i itaque si omnes biperitiones indubtae detaharent
numeri 5 detrah rentar casu eddenda ercur et quarum meximu, numers exedit bisegmentur
t.L. l.t quadrise. quoterdiar.
E,2.1. 1.1 . quinar.
et ita ominis usq ad.
9)B. I.C quadrisc. itaderam
dix. 2. 1  =L  
b15. 3tit -
excedit 22 Hacum autem numeus habetur
tem mnerum uniscerptionum, quarum
verum sumerdae tentum ea quatum mexinum
egmtitum est inflr. 10   2
.. 8
ta hendus nuner
biscerptionum
quae sunt intra biee
minqio, seu quae non
excedunt . et quarum
maxiadani segmectum non excedit 2
id est omnes biscerptiones, numerorum 5, 42,3
quane mpi nurs  segrmentum non excedit a
8. 2.lit quadistoduodennius dentis 9) 1o1.1 triscerpt teinar
e
caro
Ergo a tiscerationum octonmii numer sub
e eat
ei
74.1  (tredlanus denbs 10 1. int triscorpt. terntr
en
Ex empti
pratia pro ostonaris tristerationibus mibtendis sanatur bes 8 em 13 b7 8= 18
ere
icenarii qui nisarines
-
--
t eomne C
lu
esao
gata jasto ea enim, triscerptiones proeositus non agrediunur
cared+
2. 2. b1 ....... (eu av
612. 7. 1.1
XC.12
et
9u 2.11 a on qualionar
8221.. iquiai
B E ul  t
M. Tbilia casculandi
specimina
Theorema hoc reperi generate, pro Numero sectionum possibilium
pumeri dati. setandum numerum partium datum seu sega utorum datum
numerus segnentorum e, sint nlimeri aliis X y
quocunque moio non justo majores, seu moio non efficientes qu in sequenli
sit numerus datu
m
aquatione uneros nihilo Minores, et fiet aequati talis.
Cncumpro C
num ipsius Numeri dati v ii segmenta ol quot sunt auttates in
sin numercis ed eectionum dati numeri v.
u + summ. vaX se-; sect) (id est aequatur m C1 sectuotum, cuigsonque mniri seitil. an joid) va X
summa
um v- 2XyC.2 sect) idet demta sieuma P. 2 sectionum numeri
cujuscenque (nihilo majoris) v- 2X -y
quas
seu altiotiqus dimensionis, quam sumnia  oneviom. e Ise ctionum munetri V- X.
qe
 nam nmenus V X in quo  v est datus, variat tantum quit sunt  modis variari
potest X. sed in unumero v.2x- , est vacilatio variationum seu in quavis
ina liation ipsius xmisus idaber possuat vones variatioiles ipsis
Qui modus calculandi oeegltam mataram in tanioei silitatis seu omnietatis
nae a logicis consideratur, ut simpler i tathemuticis iperiaa  diversi
mode ropheata, unde amensiones nascuntum
jum exchrc calculo nascetur salcntus replicatus num vix, substitui potsine Sa
aviat
fiet:
v.C  set  v- X seu secta) _= + sum. VX = 4)C- 2 fe. t) - sum. V- x =   2Z - β (c. 3 sct 
et y 2X -y)  ect 17. 2 -0 = v+ ∞- 5 fet - u a 2x -y - 2V. 5 se 2a ct 1
nX- se 3es sit Sr y ap. C
YV Esect) fu- X - Z(C - 2 )c5) - .v- p. 22 Bl) et  p2
ita contimiatis septi atio intus semidi varimitios calcubus nnde sugodem anderdus inta se sectasse omnes
e sectines, vel piro, su uttur