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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 336v, page id 00068196:0668
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352062
64- 10 208 11o Pou g
axtac = pov F OIV +OV + oBoV rovoV 16
c
DD=Snbireot suoi vavesuonn b + 2. 5120. 5320XOVr2B 1t, 8
4 = 3020b, 3y sBr 3. 11
20: 120
1y20. 30X. 532 Joll. 5320 uB
1. 3.
5128. 10. 20 + Sy16. 30. 202,00
5128. 11. 21 +5326.31. 21o2 + ac
5120. 10. 21 +5320. 30. 21= 01
2. 3120. 5720. 20  (6130.
(96) 2.5120. 5320, 21 25 0131
Ex qu t 5120. 5320 = 3130; 2. 20  o131: 2. 21, Ergo 2 = 20. 0131: 0130
Exaeq. 39. Hit , 512o = od. id. 2o - 5720. 30. 20: 10. 20 = (ex 40) 62FaC: 1. 21 = 5328. 31. 21: 11.21
Ergo 53202
se
 00. 11. 21 = 02tac. 10. 20,:, M,  11. 30 - 10.31 20. 21. Et pari jure
60.31 - 11. 25.20. 21
Nivalores substituantur inaequ. 91. fiat 00. 31=oE tac 30. 20 ion1 + 11. 20Y = 00. 11. 21. 5BL  ort ac 10 2030 21I)
Et 5126(
00. 31.21 = 02 +4c. 30. 293:)
=61. 20. 21, 10. 31 - 11. 30. ubi pro 21 substituendo valiorem ex aeq. 46 evanescunt 20 et 21, et
pr _ ex aeq. S1. sit aliae in qua pro 2Boportet substituere 0130; et pro 21  subscituetur 1131. Et fint
1+ 31. 2011
90. 0131, d.  10. 11 4+11. 2031 -
d1. d 34. 011, . 3Lidse = ac. 013O 10. 314 1.20 30 - 30. 4 + 51. 2020  0j0130 0131. 1031 - 11. 30
vel absolvendo substilutionem pro 20 et 21. fiet denique ex aeq. 52
s
fre
(00, 0130. 0131, 11. 31 - 11. 3D + 00, 0131 10.31 -1130 (=02 t aC O13O. 913I. 1030-10.30) - 02. 0130. 11. 30 -. 10. 31
= 01. 0130. 0131, 10, 31 - 11. 30 Et quia non licet facere 10. 31 - 11. 30 -0.  quia sic erdo
no diffh et 6 non different in indefinilis et  hB fieret extiphibilus, in ideo depri-
mendo aeq. 53 per 10. 31 - 11. 30 fiet 00. 0131 +02+ ac 0130130. 0131 porio
Superest aeq. 42 vel 44, ubi pro 5120 et 3320, substituendo salores ex aeq. 50 et 49
lieti - 00. B131. 11. 31 + 00. 02taC. 1 010. 0131. 1a y1 + 11301 -Bortac. 0(20. 1030
20 283
(1 10. 31 -1130 (20)21
1135.)
ti
6138
4. 28
=.  seu 200. o1BI. not ros. ortac Buo av1 1B uruso - orfaci to 30 (55 ) . 16 130. 81301
1el 10. 31 - 11. 30
inserantur valores ipsarum 00, o2, 01, 0130, o131 jam
His jam duabus aequationibus 54 et 3s adgungantur
primit calculo priore reperti, et tum demum ad calculum ad finem perducemus.
od  A0 +60 (per 10 et 29 E per 2.BH. 92  40 10 rugo  +60. 4. 1d.  - ab. 410 30,: 20. 35
Et per 1t. 29HI, o1 (O  + (2)60, (a y1+ 1130, : (2) 10. 30
(sper 13, 4, 29, 0130 = 2i40.60 : 170.30 et 0134 = (40. 60, 10. 31+ 11 30, : Vi0. 30
B. Ergo ex eq. 54,59, 60, fiit d9. 10 31+ 1130 + ver ac L81, 131 + 11.30. et similiter ex
aeq. 55 per su it eo. fint0b. 1. 3(4 B2+ aC, 00. 18. 31+13D b2t aC. 10. 30 (62  40 60. 18 314130
(4 18. 30
1 2 1051 - 11. 30
uquicquain deter mvinavimus, videamus an non liceat facere, et t ac
praesertim cum in ac possit satere arbitiarium, et ft ex aeq. . 6 6 vel 61, fietqe
 E sera 10. 30= 1. d quod est valde rationi consentaneum
= 60 +40 10. 11. 30.31 40.60 10. 31 - 1.382se
eter
vel ex 66ve se s
mco es
ss
  (6)
00) at d
 60+40. 10.68
et sod
4 ab ad, 151 F,
40.51A 4 a ad et e
  s ed fitota (0S1.
d msno qued md Ct is
69et69 e
2
 juncta
pusis et od amts. dA 40. 5i  4ab - ad . 40. 513. f- 11. 31
 1 y 25). ((121~.4 fieret
51 =. 4 seu licn ll. BtA, 51. fieret 40 S1) . 8. 10. 51 ab ad +16 abad = 4, 40. sit
seu 40. S14. ab -ad  O. 51. (4
sumum 3. 40, E = 4. ab -2d seu 40 f 4 ab- ad : d. 512 FL  = 2 scet
et 40. et valorem liters 40 ipsi 40
 eb ng
Habemus ergolandem.
eo quod assuusimus ae. 64  or tac a et fiet 40 1. 3 t 1. 30 + 46. A 0. 31. 1130
. 10,   11. 30.  - 1p. 3, L 50 per qpand 51: L. 131
265 v 80 f 4O1C. mda
168
13 spone
superes iumlarquatia ex
C
s
un ar aniat ex aeq. 62. fiet  604 p +40 For v3 . D  101 30131 - 40,68 10. 3r - 11. 30
∞X
lan
sa
12
Rurspex 6. per 56. 57 5), sit 40+60, A. 10. 38. 10g1u H + 48. 10. 31ru. 50 + 68. 4. 0. 1. 3 31 = ab. 41 d. 18 + 410 2 a L gotao. 10 N F1 50. 41030)
quia ad aq   sinuliter eoplieandam nimic orituri prolixitas, et mondd
ep
4etbor L g. 50. vS + 18. BnL _. 5o + 60. g. 10. 1. 5o,31 + 4. 1d. 3d acF B o rodZ. 1P 3IFH 30
Et exer per easiemfis ed -
di
512014
130