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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 10
# Folio 6v, page id 00068105:0012
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068105&page=12
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Gue dy Wot de
Gu aequ. a. EW. 1on
WWM
b a b
Ergo WM aequ.  dy
et ML aequdqe  dy
(2
a
ML aequ dZ + b dy - 2 b dys Z
EM aequ
B.
a
ce  aa-bb dus
a
aa
a
ML + GM sen eo aeqo dqzue + dus - 2b dysdz
a
sit jam co aequ e dus (posita e data)
fiet ee sit co aequ e dy +dus
sit eo fiet couaequ e dys + 2C dy + dy
et fiet: C’dy +redy aequ. d - 2b dydz
si addas utrobique:
e
 a
2 12
v
q
a
ibit
edys +redus 16 dy aequ.
aequ dz- 2b dydz + b
a 
dy Seetrerb aequ. dus - b dy
Itaque Linmae datae utoc cenhittem
cujus odinata e, obscissa y.exhiberi
potest curva quadratux perarcum si quadra
quaeratur quadratum ordinatae, ejus
addatur duplum ipsique ordinatae
et praeterea duplum ipsiu ordinatae
cum quantitate, arbitraria, e ex facto
provenientis latus potest summar
Hinc et ellipsi
(N. habetur curva pro-
D aequ =  + C. E porcionatis nemee
eaerosas fvy.
ee aequ SOt Otiautora a
re aequ - 2 + 2 10
b
a
aequ
a
ae
si jam -1
+b
est quantitas cujus a
latus est summabile
habetur cum
vel aufetendo
seui ad O addendo rbitrariam constante
Efit summabilis latu summablle habetur
auva. sed hoc jam noveremu
Hinc si sit
_ eaqu. YyV+h sempe
datur curva propritionalis fortenon noheramus +