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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 88v, page id 00068201:0176
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10. 21 rg. 0
 10 +’a aequ. 0. 20 +21 a aequ. 0. fiei  . 11
10 + 11 a + 12 b c9. 0 et 20 + 21a + 22 b 49. 0. Eryo ,
si addatur 30 + 31 a + 32b aequ. 0.
tunc aequationes istae tres ita inter se companentur:
20. 12(4 2112 a
cel + rta + 12l b ao
ope harum aequationum trium tolli debent a et b. Ergo opus tantum duaibus rubitrartis
et seutemqe aequ. 1. retinebinius qualis est, reliquas duas multiplicabimus, et ita
stabit
10 F 11 a 112b et fier n + 2il + 3e m ry 0, et 12+ 22l + 32m ag. 4. unde
20l+ 2l a + 2il b 51q0
30m +31 ma +sumb
ad imitationem aequationis 4. fiet:
+11. 32 + 21. 32l, aequd. 0
-12. 31  31 L
Ex aequ. 4 habemus valorem ipsius a. quemcomequem conmutatis 2 textris in1.
ot contra habetur valor, b. scilicer +10. 21+12. 21 b eg. 0.
-20. 11  22. 11 b
uperest ut toltamus a et b ex aequ. 3. ope valoram ex aqu. 4 et 5.
idem quod
Nempe multipluetur aequ. 3 per f11. 22 
Est autem1. 22 idem qud- uri.u
Eirgo eb aequ. 4
et aequ. 5
naem
per +B) i (. 31 in f 9. 1
i
232  B1. 8
diutr
et slndo aequationes 4 et 5 ab aequ. 3. : tolletur a et b. et fiet:
addendo
30 in +1I. 22
- 21. 12
fel et depressit omnibus per
seu fiet:
+ 38. 11. 22.
= 30. 21. 12
- 20. 31. (L
= 16. 21. 32
+ 20. 11. 32
30  +30. 11. 22
- 3. 21. 12
+ 1. 2. 32.
-31 inro 22 i Y. y in 410. 22
oe  - 20. 12
in +10 2 inspst
+11. 22. fier 10 in 11. 2Y
+2 3, F  aeq. 0.
30 2 12
 32
- 2011
+10 31. 22
=-10. 21. 32
=420. 21. 12
+ 20. 1. 3
+ 30 - II. 22
-30. 21, 1
aequ. 0
= 31. 10. 22 + 32 10. 21.
+ 31. 20. 12 = 32. 20. 11
102+2. 3
20 +3 1 7aeg. 0. Quod servat leges
30 + ( 2
2 12
Homoeoptotorum, amo
enim 1 praecedit nunc 2
nunc 3
quando 2 praecedit adoo B tunc 3 proecedit ad X
Quando 2 praecedit ad 10, tunc 3 praecedit ad
q 2 praecedit 3  3 praecedit ad 20
praecedere intelligo quod signo affirmat ivo afficitur
sequi quod negativo.
Ita enim habetur regula signorum ex uno scilicet caetera
omnia. Nempe quia characteres  sinstri, cum notent 
aequationes non literas non aeque signum variationem ingre dimnto
Hoc autem,  collocandi modo mirifice habetur regula signorum, exis
uno saltem assumto, nam compendii causa omissis charrecteribus sinistris
assento
st 0. 1. 2. affectum figuo +, tunc
10. 21 32. scribendo 9. 1. 2, et eodem modo
nempe
vasi in oidem eundo
ut harum
Vellum affiecretur timmdisuotitionum osatie 2d o , . 2  ecto signo-
2I. 12
+ 10. 31 22 l aqu0
satius ita cutemus: verhie