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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 7
# Folio 33v, page id 00068102:0022
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068102&page=22
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(1
seu m = - a. 2 tet b ex org. 1 G ni
(1) aa- 22 a x + aa se d=  1 x + aa
=
4aa
quod tamen fieri non potest il cum enim
S
haec aquatio sit ad rectam, non potest
recta formari rectetrum concursu, seu a rectis
diversis tangi. Sed quod id ducemus ex calculo
An sic
14) ope 5q. 3 tollamus X ex aequ. 1
nimtam
Clmda
B -b + mb. Unde ponendo
+aa (= 2et ntao
vel si Hon sosum G
1=0. fit yaa. Ergo nipieslsdet Enta
1A
tunc enim fret y A= mmoam + aa
(19
hoc est y= aa- 20a + aa seu y = Zaa
esumamus 4
et quidem recte sexpensa  Termemu ita
cy. tit ut servetur lex homogeneou seu sist
rumram X + nib cujus differeatialis, secundum m
(4)
est am + ax + ab = 0. sit, b =0 fiet x = a0: Em+ a.
(3
1+ aa
ay=
et Ex 8q. 1. et 4. fiat ay = mmtamo + aq. Unde
2m +a
1)
patet si X sit . =0 fieri ex aeg. 5 vel 1 y=a.
sin faciamus 2m + a= 0 fieri, _ in = -a: 2 unde
ope e vel a fiet ex 5g. 1.  y= (2 - 2a + a =) 3a
11
ed
4
quo substituto in aeq. 1. fiet haa = =D x +aa et ponta
e
et X= a
Tempe duo XZ ay -a: nimtom
AE, a. B. AB3X. BC, y
FG
AF
si V Figura ostpudit
aq. e non posse habere
 y_ sit x = e locum vellem tamen
a sit yta posse quoo id ex
calculo deduci queat
g. 1) sit explicentar  n, at qd, 1. sit
aa-laa= A3aa ga recte