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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 188r, page id 00068199:0375
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63 49
202. 2ol. + 3om -250l 2. 30n + 38m - 2. 30 solm,  3om = 2. 50b
Videtur pennissum ut faciamus 40 = 0 adeoque et 42 =0
Erit ergo l. 2ot +20. 30 m + 30n = 0 adeoque 8. 30a = g fd H  = m + Ymm - 4 In)
n
12
2
20
 2. 20 21l + 20. 31 m + 21. 30m +2. 30. 31n =0 Ergo 31 = 2. 2∞l +3om = 24 2l H(30: 20) M
 uti pro 2 (30: 20)n ponendo valorem fit 3 = El + 30. 28 m 2. 30n +20m
seu 
1= mm-aln = m Y (um -4 ln), Temm- ali)C
Et
2(30: 20)n +m
in =2) = al mn +m se mn- aln)
En (mn - 4ln)
21
2n Nemm- iln)
seu tandem 3 = icumalu) -m sed itas fit quod
evitare vobbamus, nempe (831 : 21 = 30: 20
En
si faceremus 30.50 m = 50 l = 0 fieret G0l = 30m. seu 50 = 3om: l. Ergo fiet
+40 = - 30. 3on, :, - 30m = 3on: m = 20 + 30m: l seu 20:= Fln-Gomm, : lm
quod  adhac semel videamus:
20 = 302-30n, :, 30m - 2. 50l.  id est 30tum: 1) - 30n; to
E Ergo 26: 30 =  in -nim,: ln, ut ante Et 40 =, ln( mm +o 30 mm, n
zon: m, ut aute. 20: 30 = n: m - mil = m notid copa 1.m
Aliter forte Ex Termino jam secundo fiet. 2. 20. 21 l + 20. 31m + E1. 30m + 2, 30. 31n = +2. 30. +h.
seu 41= jam 2. 20l + 30m habunt 2. 3olu 2. 30ln- (2)3omm 3omm, : l = 2. 30 - 30n. (
et 20m + 2. 3on = 2. 30ln = 2. 3omm + 2. 30ln 9 : l seu 4. 30ln - 2. 3onim, : l,
seu 2, 23 o = 2. 30, Sn = mm. Ergo fiet , 2. 30. 41ln : m = 2 ln - mm, 30, : l, 214 2 31
seu 41 = (2 ln - mm, m : 21), 21 + 2. 31. adeoque fiet 11 = (p: 1), 21 +2. 31
Ex termino medio fiet 2. 20. 20(31: 230)l + 21. 21l + 20 (31: 430) m Y21. 31m 420. 30. β12430)
+2. 30. 31:4. 30)n + 31. 31n2 3 n) = 35 (: mm) (31. 4. 30) + (pp: U)21 + a(pp. 11)21. 3. a
+App EI) 31. 31I. sed Video ita 3 vel 21 non evanescere. An ergo proestat
redire ad paginam praecedentem
ia ut evanescet 21, fial -70 + 40 =0. seu 6, 40 = (4)70. Ja m est
70 = 20 4 30 (m : 21)  = 2. 20l + 30m, : 2l = 250 U, 3otn + 30 non - 2. 50. 30lm, :, 2. hal ri 4.
Eol
quod s sit = (+: (+)) 40 = (1. (4)), - 38n + 30. 50m = 50 l, :, 30m - 2. 50l. Et aequando
sublato divisore commune fiet 2.50l = 2. 30 In + 30 mm - 2. 30.50lm =
= (1: +), - 2. 30 In + 2. 30.50lm - 2. 5oUl. Et faciendo (+) =- 
oirebur alserdum. seu 3orum =0. Ergo debet esse + + et fiet
fiet (2.501 - 2. 30ln + 30 nm= 2. 3050lm) = 2. 30ln =2. 30 50lm) + (2. 50
sed hoc non licet evenescentibus quaesitis, manentibus solum datis. Iaque
sext +1 = + 1 et f. et 2. 50U(2. 30tn + 3omm. - 2. 30. solm = (230 ln, + 2. 30 solm
= 2.50l, Ergo 4. 50U = 4. 50. 30lm + 30 mm =0 seu 2. 50l = 30 m
verum nec hoc licere, video,
verdendum ergo an liceat terminum
ut timum ddestinere, seu vel salten partem, verb. gr. eam tennini ultimi quae
continet 40 et fieret - 2. 464 (20 f20. 30, f30n. sed ita focet cot +20 on +30n -
20l30. 3om 30n
seu 40 = 30 mt 2n: 1)
adeoque 100 quod ad licet
et fiet
3c seu 2. 30n = 407 = 0
seu 20l+20. 30m = 30n, adeoque fieret
2. 20l = - 3om +2 (Wm + (n) se 20:30 =  m + Z S(um + n): l ita ipso 5 posset careri
Ergo 2.70l = 30tnim lu) 2. 20(+30m = 30) (mm LIn)
4 4. 40l = 4. 70Il = 430. 2nl  = 30 mm - 4. 30 In = 30 (2ln = mm)
2190l = -  30m + L. 30M Vemm + aln) + 2. 3on seu 4. 80l = - 30mm +30m seum + atu) + 4. 3 ln
(2.70.4. 80(3 = - 3oum Semmtaln) + 30. n + 30+ n  + 4. 30 n spum + 4lu 
undi subtrasendum 20 Um.  seu 309uH 30. 2lnim seu fiet
fre
sen fiet 4 45t 2. 4. 7H  A vorgo nihil tamen magnopere lucramur
aquatio intericus talis erit 30 (utnumm) y+ . 2 I. 21 (Mv. 80l) - 89. 3, =0
sen 21l = + (2. 70. 80=40 m)  + 1 (+i 4. 40. 70. 80 m B 4omin 6 (ln- nu) BD,
2. 30 (ln - mni)
ubi exlinanta o