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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28
# Folio 7r, page id 00068241:0013
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10 + 11 X aequ. N.
Maji 84.
20 +21X aequ. N. multiplicando per crucem et 
a se invicem subtrahendo, fit: F H10. 21 + 11. 2IX aequ. N. seu + 10. 21 aequ. N
20. 11 = 11. 21 X
d-C
20 + 21X+  aequ. N.
10. 2
10+11 X + 12 x aqu. N.
10. 21 + 11. 21 X + 12. E1 X aequ. N. seu 10. 21 + 11. 21 X aequ. N.  ubi fingento 12 aeg. N redit aequ. 1.
2. 20
= 12. 20X - 12. 21 X
jam ex Aequatione 5 et Z ad imitationem aequationum  et L ex hibentium aequationem 3.
prodibit aequatio 6. nam pro 10 et 11 in aequ. 3. substituetur 10. 21. et +11. 21  ad
fingent 12 aequ
12. 20
10 + 1X + 12X + 13 X aq. N 20 +21 X aequ. N. fiet: 10. 21 + 11. 21 X + 1. 21X  aqu. N.
- 13. 20X
jam  ut aequationes 4 et 2 dant aequationem s, ita aequation B et 2 dabutnitae quationem 9. si in
et per aequ. 0 etit baequ. - 13. 13. 20. 21 + 12. 13. 20.22 - 10. 13. 2022, 1012. 21. 23 ̸ 11. 12. 20.22 1213 2522og ui aequatione 4  pro 10, 11, 12. ponatur 10.21, 11. 21 +12. 21, et fiet:
13. 20
10.21. 21 + 11. 21. 21 X aequ. _ N. ubi fingendo 13 aequ. N. redit aequ. 5.
= 12. 20. 21
Jam ex aequ. 9 et 2 fiori debet aequ. 10. uti ex aequ. l et 2 fit aeq. 3. Ergo in ag. 3.
+ 13, 20. 20.
loco 10 et 11. ponendo 10. 21. 21 et 11. 21.21 = 12. 20.21 + 13. 20. 20. fiet
C(10)
F 10, 21. 21. 21 - 11. 20.21. 21 + 12. 20.20.21 = 13. 20. 20.20 aequ. N. ubi rursus
fingendo 13 aequ. N. redit aequatio
Hinis habetur Progressus in infinitum hoc modo.
Datum Commune: 20 + 21 X
Datum fpeciule
10+ n X
IOF UXFLEX
10. 2X
irero
(1s
Hinc habetur progressus in infinitum hoc modo: Datum commune 20+2IX.
data specialia
104 I1X
10+ WX + 12X
10+ 1X +1X +
10guX + 12X + 13X
et ( ec,
Quaesita
10. 21 +11 21X
10.21 + 11. 21X + 12.
20..
10. 21 + I1 2X + 12IX + 133X
(17) etc
non
ubi multae apparent Harmoniae. Formantur enim ex se invicem aequationes
ejusdem gradis, seu connexae lineis trans versalibus. Ita ex 10. 21 +11. 21 X fit 10.21 2 + 11. 21 21X si
ullam multiplices per 21 Cet adjicias terminum 13. 20. 20 X ob gradum altiorem. +13 20no
item ex aliquo nembio, fit nembrum altius affectum, ut ex +10. 21. 21 - 11. 20. 21 + 1220. 20. fit:
11. 21. 21 X = 12. 20. 21 X + 13, 20. 20X si tantum pro 16, 11, 12, scribas I1X, 12X, 13X.
ex qua sumtae sunt, indicantes, ut: 10.21. 2t-  co l0. 21. 2, - 1120. 2, + l2. 20. 20
ubi in qualibet parte habetur l. 2. 2 Notae autem dextrae a gradu sumtae equatior
sumtae a gradu literae incognitae in aequatione originaria, in quolibet membro
semper conficiunt eandem summam, ita 0. 1.1 et 10.1 et 2.0.0. semper
simul conficiulit 2.
Io
dhedu imatnda
quaesita:
iodeq +MMIX
. 21. 21
+13. 20, 20
410. 2 2 u. XX A. X uX
ia roo.
et
i
202020.
110. vneii humaruiX: 40 aut at 21
nno 
Mronore
et
ontuti
ono
21X
+10
+10021
Lb