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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 170r, page id 00068199:0339
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40l = (2oll= 20. 3ol m + 30 ln)
4= 2. 20. 21 + 20.31 m + 21.30m + 2. 30. 3 n, : 40l =  tot differamus 30, 31; 32, et consichremus
41 = 2. 22. 2 l F22. 31 m + 2132m + 2. 32. 31 n, . v42 l - f. vel solum 20, 21, 22,40,41, 42.
= 22. 3(m 4 2. 32. 31M :+2. 20. 42l 4 30. 42m
2I = = 20. 381. = 2. 30. 319
2. 20. 21l. 2. 22. 21l +2.20. 21b 22 3m 4 2. 20. 2) l. E1. 32m 4 2. 20. 21l. 2. 32. 3In
1. 20. 31M. 22.31. m 1. 20, 31 M. 21.32m
l, 21.30m. 223 1m
1. 21. 30 M. 21. 3rm
2. 30, 3(N; V3M
1, 20. 31 m. 2. 32.31n =C)
1. 21. 30M 2. 32. 4n
2. 30. 31 p. 2. 32. 2n
aequ sed haec nimis prolixa
2. 30. 3IH, 22. 2M
hotn
40 = 20l + 20. 30lm + 30In sit 5b + 40 = 20+50, et fiet 20+ 220 10+ 50 l - Wulrazolm
et fiet 20= 5oll- 30 n,: 2.30l s 2 30 m - 5oll seu 20 = sol- 30n, :, 3om - 2.50
et pari jre (42 = 22 + 52 et 10  22 = 52 - 3En :, 32m - 2. 52l
+40 = (70 - 3on 4 30. 50m - (2, 50l, :, 3om- 2. 58l
+)42 = (529 - 3 En + 32. 52m = (9, 52. 52l, : 32m - 2. 5rel
Hae ex Temunis pumo
et ultimo
Ex Termino 2do fiff 40 = 220. 4l2 + 20. 3, m + 2130m F2.30. 3In, : + 2. 41
Et duos ipsius 4) valores aequando, fit
1+ 2. 20. 21 l. 30m
+293Im. 30m
= 20. 31M 250l
+ 21. 30m. 3om
= 21. 30m 2. 50l
+ 2. 30, 31n30m
=2. 30.3112 2.sol gi7 4 2, 3oa a x soneso l
+, 42 = 2. 2. 2el F 1. 2. AM + 1. 32. QIm 4 2. 31. 32a,:, (1)2.41. Et deos ipsius De valores quodo fs
Rurjus ex Termino penultimo tit:
42. 2422 luem + 1. 22. 3Im Vm 4 1. 32. 21m 3en + 2. 31. 32n32m
1329m. 2.sil -2. 310n 3 set 3: , 2, 3 En -3. 32Mt 52
sed quia a aequardo hos duos valores ad non necessariam ascenderetur prolixitatem, ieo quia
_ =  = 2.21. 22l252l - 1. 12. 31 2.52l
in terminis penultimis non occurrit 42, ideo retineamus aeqta valorem ipsius 2, paulo ante
inventum, qui est, et ibi qu contrahendi causa quaeramus 22. 40 -22. 41, et fiel
+22. 40 = 4,  +30n. sil 30 homsil 450l sisti, 30m - 2. sal, 32n - 252l( 26052 1319
si + (+) ( 36n3 En)
-2. 22.90l = 32. 40 m
si esset 41. 414 2, 40.42 =0, foret OD 1H a0 qu’H = 0
2. 30. 31 n. 2. 2221l
2. 20. 21l 250l
+32.40
Ergo ex aeq. 5 fat mattilicat pert, fiet 
42 = 1ill + 2232 lm + 3E ln)
41 = 4 20.  L4 20 21. d m. + 4. 20. 2 23du Ex duobqualoribus ipsius H1. fit
ait ida
1. 20. 3M, 2 22. 2l
1, 21. 30m. 2. 22211.
-30. 92
+ 32A50l
zen zon
+ 30 50m3 2
 3252m sil
(+32. 307. 34
+ 32.52M 30n
- 32. 30 n2. 5iI
(A q0. sE a zom
3. 3en 250
asol n
aso sntgotum
S2l 3n 1:, 30m -2. 50l, 32m - 2.52l
+5et col
-32. 20. som 32m +32. 50l 3 2m: 3om -2 5ol, 32m - 2. 52l
(+32. 30. 5om 2.42)
= 30.5C32m 3m
(3032. 52m 250l
Ergo landem fiet 21_: 31 = , 2(30. 52 +. Jigob IM
-50. 5t lm- 70. 32 ma.
32. 50 l2.52l3
4 30gt 30m . 3om -2. 5ol, 32m - 2. 52
2s  250l
D30. 3ummn - 4. 20. 3E lnn
2. 30.52 Um - 2. 303 clan
= 30. 32m 3- 2. 30. 32 mn
Ergo landem 21 =
= β30. 52 + 3250) Cmm (F 2 50 sillm)
50. 92l - 20, 32n In q
in pituo valore ipsius q primum explicemus 20,
4 +2. Elgel Ahemsol
2. 21on s dan 3on
t (2. 50 l 2. 32M
An prestabit dissim
r o 
sibstitamue hunc valorem fiet
tom
=Whom 2id 23031n 2. 50l.
are explicationem 20 et 40, et prim  3 valor, piu 4) dos
30.sil 73. 30n. 30. s2b 9:, 4. 40l, 30. sil 232 sol. 30. 32m. sed video
superest utsima aequatio t nempe medii termini
B05er so
iponento
Valorem fit
Lonrap
 ulopene Am, 32. g2. 40
icetur 20 quoq
ajoris securitatis causa videamus a
non multo megorem esse prolixitatam
secundo
qualores in ventos, idem puideat, quod ex primo valore ipsius A, uti certe oportet.
oim  on. doges ante quam id sactamu
et tu cum peta tanuoa  e at nen
ipsius at valore sub initiam hujus paginae, pro 20, et 2
43032min
- 30. 32n J In - mm)
4 50. 52d
= 30.521
e
21 = 12. 50 llu sil (qp. sogl) et Zomnsosil Ligo. colui sosil (18olm los. 3orano ul re colu. 30. sil 7.
2130 3om
substatuem
230.7dn
visosi
=(2oget 3raosntitosels En, : 27l + Z m
4 30. Zemm -3. 30. 3 uln
-5052lmm (-30. 32 mmn) =2 (30. 52 + 32.50) 1mn) +4. 50 selln
seu - 210  A 2 (20. 52 4 32050) lnn
+4 (2. 52 +3250) Un
30. 52+ 32.5ol= 30. 32m
curs
FBosrtreso)l 2 (a ln - ma)