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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 79v, page id 00068201:0158
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satius ergo opinor erit aequationibus 4 et 5 calculum ita instituere, ut
prius tollamus a, deinde a, denique a.
20 + 21a +22 a aequ. N
30 + 31 a + 32 a4+ 33 a aequ. N
facti mulliplicatione per ericem, et subtractione, fit: 3c. 22 + 3122a + 32 22a + 33. 22 a aqu. N
= 20.334-21. 33a7 22.33. a3
facta ruisus multiplicatione per crucem inter aequationes 4 et 6. f et subtractione sit
+ 30. 22. 22. = 31. 35
= 20032 21 - 21731 1
I. 33
H1. 33
=qpumro
4 90. 3372. 20
r1. 32. 22.20
+30. 22. 22. 22 a
-200yn 22.
33
- 31. 22. 22, 20 a
420. 33, 22, 21
+21. 32,22. 21
aequ. N.
quo mulliplicetur per a. et facta rursus multiplicatio
per crucem cum aequ. 4. eae duae a se imicm
subtrahantur fiet:
Xrexrahraxi pa
uonn
Curhu
haequ. N
= 21. 21. 33,∞1
jam rursus aequationes 8 et 7 essent jungendae multiplicatione per ciucem, Ut tolleretur
21. 2. 33. 20
utera a simplex, sed video nos hac Metro Methodo ascendere ad calculum.
Justo prolixiorem. 2 taque omnia de integro reassumamus.
Omnem quantitatem cognitam aequationis podatae hoc loco exprmamo
duobus characteribus sinistro et dextro, et sinister quidem significet literam, depter ver
ipsius
aequationem in qua reperitur, dexter vero potentiam cujus est coefficiens atalus
astatio quantitatis cognitae dimensio erit differentia inter maximam numerum ejus
snistrum, et exponentem expo aequationis cui iest.
et 20 + _F 21 a aeg. N
Siat aequationes duae 10 + 11 a aequ. N
aeguatio 1. per arbitrariam b E
quaentur aequatio in qua absit a, mullplicetur aequatio 2 per term arbitiarium l
et componatur productum cum aequ. 1. fier + 10b + lib a ( et faciendo 1+ er. 11b + 21 l aqu. 
agol + 21t a8g. N
et quia super numeraria adesque faciend _l aequ. 11 et B Eego +21.. habebimus. 110. 21 aequ. a
II. 20
sut ruisus aequationes duae: 10 + 1a aequ. N et 20 + 21 a + 22 a aequ. N Multiplicetur
aequalio  per ALFL- 22a et aequ. 2 per 11, et componantur praducta
destrnctis destimendis fiet: +l. 10 + l. 14
+11. 20 L1. 21 a
onton