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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 7
# Folio 21v, page id 00068220:0042
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Ha
Habernus nimirum: a
eaequ. ∞ 2+5+8- 1 a +3+6+9- 1 b + 4 +7+10 -1 C aequ e.
525+28+58 aa + 36+39+69bb + 47+4. 10+7. 10 cC
ee
+26+29+35+38+59+68- 1ab + 24+210 +45+48+5.10 +78- 1 ac +37rb.
Jequ 367426101279 129143
qaequ 26. 10 +279 + 3550 +37B+ 459+ 468 -1 abc
+259+2510+286+287+46358+455ab
+259+286+358 ab 42510+287+459 al
++69 +359 +368ab +27. 10 + 4510 +478 ac
+ 3480 + 21g + 469bc + 37. 10 +4410 +479bc
+ 258 a + 369 b3 + 47. 10 c)
quattae duae aequationes deb postremae debent esse divisibiles
per formutam ex a. b. C. simplicibus compositam
au
modo
simplicissimo casm
XX + pX +4faequ. 0.
scabatur XX + P ∞x + Vq aequ ex +aY
in
a
x + ar
et + 0 aequa +b et 9q + er aequ. ab. seu 99+ rat +rb - rp
Aiet p + B aequaab
quam aequationem dividendo in duas: ab aequ ra seu a aequ r. fiet baeq rp–
seu baego P- 94 Ergo fit. C aequ tr - 49
et fit X +r. X+ - 44 aequ. 2Y - 49. X+Y
manet r arbiharia
et, si fiat raequ 4. fiet Xtg. X aequ q_. X+ 9
e
imo male
quod bene notandum ita enim facimus aequationem divisibile
esse per vor non anim advertentes quod mirum Ang
Calculus fallat nempe syppositiones arbitrariae salent
trabere quosdam liluites obus coercentur
non ergo licet aequationem un dividere
quid sitollamus a quia aaeqo 4e - b fier ab aeqo bp+ eb bbaqu r
et faciendo e aequ b. fiet 1 aequ a. sed ita r etiam aego pna
faciamus. 2eb aequ ex fiet b+ eb reb. bb rp. 0 seu 4eer
Ergose
seu bag
2
p-r
p.r
u et. bpaeqo bb seu b aequ p.
eb seu ex aequ ertgue. seu eaequ 49.
prit a aego p + C- b aeque aequ gq: p. Y et fiot X + 41
seu XX + 44X + PX + P9q
p.Y
at
seu e nunm vap
et ana p+r P- Y. seuquon
raqui xer Lrp
ot
X+p aequ xer. gq.
l
374319 +46149
1
+19-1