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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 22
# Folio 7v, page id 00068235:0014
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8r); this page is its left half.
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# Lines: 58 recognised, mean confidence 0.81
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e
 en) eese e)-
aesuss 
∞ -1
1 -
ilell det
(Termmi +. 12 3
 e
3 2
+ 1 + et +
15
+ ele aequ. a ubi
unia oritur proprietas, quod semper numerator
militer
5 1 2 
erc
id  du  + erc aequ e
Ct  une aceret invemie griei corminit
ale
an
quod patet, cum enim sit totum ad majus extremum, ut maius ad minus, patet majus
a totr non nisi femet anferri posse, seu esse majus demidio, nam mai utique exceoit
tunc ratio a ad b eadem erit qua rectae  extrema et media ratione sectae
ad partem majorem, sive (quod idem est quae partis majoris ad minorem
dimidium alioqui non esset major, ergo a toto non nisi selvel auferri
columna D. idemque illustratur adjectis numeris in columna F. pone
jam g seu 5a -8b esse aequ. 0. ajo rationem ipsius a ad b
Nimirum quia ex hypothesi quotiens semper est unitas, sive minus a majori Hhis comminisci licer soires convergentes, et serrei 
non nisi semel subtrahi potest (semperque ejus dimidio majus est) ideo subtractio pro-
veniet qualis est in columna , vel terminis subt divisoribus et residuis
residues aut subtrahend terminis (qui nunc sub compendio appellatis ut in
apsam adquisum comminsu qumlus eoderi o  compos et condia
Quod si columna C porro continuetur in infinitum
da
seu si sit
spriebus convergentibus quanti
necessario eam esse quae est 8 ad 5. patet, nam Sa aequ 8. b
ergo et  aequ. 8
a aequ
+etC
Habemus eruo in hujusmode
tam
fit unilus: Ex 1 h + 1st aequ P. 3, 5 + 38 aequ.. 8,1B3 + 5, _ aqu. et aequi l.)
er 2
55
t
aliquod quoddam
Ex his porro jatet, si residuum minus constet aequari nihilo
rationem numerorum praefixorum literis quorum ratio quaeritur, exprimere
esse in ratione ipsarum literarum reciproca, exempli gratio
sit ratio s e et constet quotientes esse unitates,
quintam subtractionem re inu vere nihil, seu esse 2 aqu 1+L
et esse f ryp. 0.d a sire esse a
Saciamus subtractiones actu ipso:
a - b.  b, paut seu a12 b) - a 1 b
Factamus subtractiones actu ipso
1
in