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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28
# Folio 8r, page id 00068241:0015
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0.21
no
ubit bus
idi possepti
at
pimmos ex 7 et 1 fiet: 110. 22 + W2IX + 12gI X (13 12 X a
vere CI C
13. 207 713. 21 X 13. 22 X)
Ut distincre scribamus ultimam aequationem fiei.
si sunb duae aequationes una: 10 + 11 X + 1 X aq. X. altera 20+2IX + 22 X aequ. N.
et constet eas habere communem radicem, Ergo factum ex ductu duarum in se
si osint duae aequationes 20+ 21X + 22 X  et 39+21 x + 32 X quarum una quaeque
invicem habebit duas radices aequales.
hhabeat communem radicem cum data, nec tamen seandem, eben debet factum
ex ipsis in se invicem dividi posse per datam, seu
videnda aequatio sper 10+ HX + H2X
a
11. 1320. 202 2 110. 1021. 22. 22, 22 -10 1. 205 22. 2 n + 10113, 202 n 10 1320. 2021. d 22t 0.1 2020V
20
= 10. 10. 20. 1. 22. 22. 22
+ 12. 13, 20. 20. 20. 21. 22 = 12. 12. 200.20. 22. 2 + 10. 12. 20.20. 2222. 22, L 10. 11. 20. 21. 22. 22. 22 - 14 11. 20. 20. 2225. 8
+1B, 3. 20.20.20. 22. 22, = 10 13, 20.20.21. 22. 22 + 10. 12. 20. 20. 2222. 22 - 19. 10. 20. 22. 22. 22. 22
13. 22X  12. 22X + 1. 22
(13. 22 X) + 13, eI X + 13. 20
1312X) = 13. 21X - 13. 20 X
2
PDZLX + GX L1
+ 21 X +20
13.21X - 19 20
(22X + LIX=
+13ux
2.2
BX
122
2- 13. 21
22
15)
Naq
+ 12. 22 X
 inventar
+ 11. 22. 22 X
13. 20. 22.
27
A2. 20. 22
-12.21. 22.+13, 20.21
+13. 21. 21
- 13, 21
Notandum non oostant
ipsas aequationes alia
N
parar
aeujo
Karsus ex 1121 15. + 12. 292 +12. 2122X+ 12. 22. 22X (9)
13, 20. 21 =13, 21. 21X -13. 21. 22X 4ey.
0.22. 22 -11. 22. 2X  n22
+1320 22X + 13. 222
20. 30 +20. 31X + 20,. 32 X
+ 21. 30X + 2. 3 ∞ +21, 324
+22. 3 X + 22. 31X3 + 22. 32X
et fenendo baequis fiet lag 22
Sipultima et prima conjungamus, faciendo 10l + 20 aaeyo et 13( + 22b aeg. 0 omissit etM. et habesitur qualio 1).
nam laequ 224: 3. et laeg. = 20a: 10 ergo A aequ. 10.22. 13. 20. Undefiet: faciendo jam laeq. 20 fiet: a aeq. 10.
et b aeq. 13. 20: 22 unde fiet: + 11. 20. 22 +12, 12. 20. 22 X
denique si faciamus: naque
-10, 21. 22
=13. 20.20
10, 22, 22
- 13. 20.21-
eq
aequ. N Quod coincidit aequatio ni (7) supra positae
20 fiet: V. 2027 ex. ut agteroipde si facramus 
aq 10l:∞ et B3l+ 12. 22 +22b - 13. 21 ∞g. A
trabse
fiet baeq.  = 12. 22 - 18l, : 22 aeq. 10. 21l - 11. 20l - 10. 20. 26: 20. 20
et fiet: ay. 13201 L12 20. 22 f 10.22 22, : 10. 21= 11 22 = 13. 20] et b aeg. 13. 1220. 21+12. 13. 202210.122. 22
et ut + 1922 = 10. 21 l: 20 +20b aeg. V.
-10. 12. 21. 2274 11. 1212X. 22 412. 13. 20320 + 10. 17. 21. 21811. 13,21.22 + 13. 13,. 20.21, : + 10. 21. 211122. 22. F13.2022,
quos valores substiluendo in aequatione mediq 12l + um + 22a +21B + 20 C, aeq. N habebitur
aequatio absolata in qua aberit X. Haec ergo ut apte ordinemus,
fiet. ssi  compendrosissime Raciamus artificium adhibeud in erit cujus ope ex
tetai
Plaribus literis et aequationibus unam denique elicimus novis simam in qua omnes
literae desunt. Et hac mellado, te  nd assargent vul tiri cabum quae alias gubunt
in faciamue laey. 22
b