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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 2
# Folio 84v, page id 00068202:0168
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Univesa liter loquendo esto aequatio
a 42 a ) bro a 
vel: a + 2ca  bna - b pa + bd
unde analogismus. 
a p
et sublata ab cuspriore ed parabitu sa qua
queatque ita ordinari potest:
Erita ad circulum quomodocunque
EV pc
eterae c. n. p. d. explieentur, + bn ..
id est sive falsae sint sive verae;
semper cnm nihilominus verum manebit, a
quadrata incognitarum is aqua–
tionis late collocata eadem a
signa habitula et nullis multi,
plicationibus effecta esse. Quorum
prsss at Hyperbola, posterius ab
Ellipsi distinguit.
a
tdn..
se.
q-ca
ca
deca eca bn
a
et nulli–
+bnqY quo est ad infinilis Htribolas
cabu, et rursus proa substimendo
quae iterum est ad parabolam
+ dp0
Caeterum ut ad Aequationem catholicam sectionum conicarum nunc perveniamus:
prior ad Hyperbola infinitas
id
a+ 26a + bn
= pad a
Esto aequatio ad quamlita parabolum a + Ca e gy., vel a gy- ca, quae est ad paraeream.
ergo pro a, substituatur in analogisum ejus valor, fiet: b
plicando per cudcem: bpn p qu
enus valorem, habebimo: (a 1b2
+qy ca = ca9y)-
luadcirculum
n
b’in + Ca r) + bnq
+
prior A
resumatur
V Et inquam
ad Huocibolas Curfinitas nam in hac
a semper signo + afficitur etsi lineae  c et g fuerint fulsae vel C solum fatsa vel q solum
falsa i quia quadlata falsarum verae sunt quantitates, caeterorum autem quae sint signa non refert.
pitu e
Ab hac aequatione anferatur aequatioead parabolam, in  fetah ducta
nd
1 Quod si secundus terminus extat, pountur et C per consequens reperitur in qquatione
qdata tunc b sit I d. et in A Hyp. ert 8 b
in parab p. fieta: Aequatio:
caeterum, ut alibi nsurpatis a me literis res consonet,
pro C, substituamus, n, pro n  ponamus P.
pro p. ponamus Y pro bdd, ponamus b 5. to
bpn
qu
PN et in Parab U El( C,
est ait
it
92
+ buv +
jam illud agendum est, ut aequatio Conica arbitraria, hoc loco exposita compatietur datae
Esto data 
g unde sloritiendo 2Y_ + LC F 1g ponendo
D+ b fi co et Y+ m 1 8 habebimus. 2r, irl =+=V Y
I Ergotm  +bug- h +C
2r + ZYl  - h + b
+
+
+C -h
gu
se1 y + 2mY + m
ac denique irl + = I m 
bn.
ac deique vide me nomnihil errore calculi lapsum. statum ab mitio in calculanda
aequatione ad infinitas Hypertolas rem ergo sepprata schedula exequar
Contentus autuo exotualusi Mesolali Stusian quaedam ad ram pertimentia excerpsisse.
Aey. ad parat. ducta,
miesac
sarius
far