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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 40r, page id 00068207:0077
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# Lines: 87 recognised, mean confidence 0.75
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Snt. O
ut
FbKK
a
+ ab DD
X
(1)
14
C
(27
qu
ac t ex
2
a XX;
+2 et X Y 2Cf X + 2aceX + aaCC (5)
a
+2bhk
aa
tee
t2b9R
tbnh
a
+2bgh + abgque
9
qu
a
a
X-
K
aa
1∞ 1)
CX)
X 1amn
a
- m
2 2
L6mn
aa
2
X.
Jamnxm.
a
8
Ame per comparat: aaff + abKK = nt. aa et + abhK= 2mn. 2aalt tanee + 2abgk t abtih = bmn.
63
10)
aace t abgh 2mn. ) aacc + abgq e m.
sint brevitatis gr: aff + bkL =β; Baef + bhC - V: )2acf + ael + 2bgK + bhh = S; sacetbgh - 5; acc +bgg =b
Erunt:
(15
n: M
M: n = 25:7 = 37:5-8: 35 = 5: 20.) Unde 3)
CC16
nn: mM = V:E
= 255.)
(ex 13
=678. 3
250.
es (12)
=655.
3
s
1p14
4(36. (0d-
(20)
-9)5.
. et 1fit 3) =d et ex 16 fit 3E =d. Hinc
e
Eligantur aequationes 11, 16, 13. fiat 2β = V. quae est Hypothesis atse entitia. fiet 20=
(29)
per 19 et 20 fit V Z. Ergo per 17 et 18, sit β= B. Opus ergo est 4 aequationibus invicem independentibus; quales 21, 22, 3)+ 3E2d et 1+2B-s
qua quatua, 2 aeqqe. novissimae servant leges justitiae. jeam ae fta, c, e,F; ut b, g, n K.; et CdtC ut f, et gut 
1
L
Ex 2C habetur h, simpliciter il valor substituatur in ag24 prodit velor (26) ipsius e. sine h; unde vicissim ex lege justitiae habetur valor (27) ipsius h sine e.  valores
A
ox 26 et 27, substituantur in aeg. 23. fit aeq. (28) in qua supersunt solae P incognitus, C, F, gik. Sed eaedem solae reperiuntur in aeg. 22. Quarum
15)
C99. 22 et 28 ope ha haberi possunt Co B et b ner C 4 relatio ipsius F ad i   a, C; b, 9. Et (30) simulisrelatio is
ad b, g; a, C itam ope 22 eHs triendo k, habetur  29; et oper  22 et 28 tollendo f, habetur 30. Quod si aliqua
relatio sumi possit inter c a C; et b, G servans inter ipsa justitiam, et apta ad deprimendam actentiam ex aegus 29 et 30
intio Elegi 1g. 11, 16, C3, quia aeq. 13, est justitiaria perse. at agque.  11 et 16 si mul sumtae sunt justitiaria. Habent etiam hoc, quod hoc modo
reprimetur, altera simul + sed cavendum ne qua aliunde imcommodu decerminatia assumatur.
quam uinimum tassurgunt incommod incognilae, nemue s et e pon ultia quadratum; et e,F
es
d,k non ultra tubum denique ope ipsam
serventur commedissime ad depressionem maxunae per hypothesius unicam i