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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 179r, page id 00068199:0357
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sit  AB, x.
AH C A F, Z
BC, y. seu Ap
AH V
CN dx. XD dus FGdx HL de
sit dy aequ = Quaeritur E ex dato B.
dx
a
BF: BCy: dy: dx ; a Ex y: a. Ergo BErgo 33
datur ego relatio inter AP et AF BF, seu datur BF ex AB.
jam EF. Ergo datur et CF ex Ap. jam EF: EC:: FG: CM
Z aequ AB + BF aequ X + Y7.
Ergo de e FG seu deogo dxpedy 7
CM aqu CN+ Nm aequ dx + dy dy Ergo CM aequ. dx + dyy
e
Ergo EF: EC :: x + 2 dyy :dx + dys y :: 1 + 2 7 Z: 1 f dy.
dx a
seu EF: EC :: 14 297: 1+ 27. jam EF rec 
aa
aa
dx a
seu EC: EF:: 1+ 77 : 1+ 277. jam EC CdF :: 1 + FC ce
aiu
seu 142
1 + 24
s
a + yy -aa
aa trgy
a
aa
EF
a
77
aa +299.
e
EF
ac
a EF
ergo EFaequ. aatrgy yytaa. Ergo ex dataus habetnus EF
Ergo ex data yhab seu AP habemus EF, item E9, et Fq magnilidi
seu EQ aequ. Nam Eq: FE : + y: 1Z nb a. EZ aequ FEaC
e
seu Eq aequ aaeigus syytaa FQa EF
ea qaa
+
yta7
EQ: FE:: y : FC seu Eq: aa trgus saatyy:: :  Trytaa seu dy aa
Ergo E8 aequ. - aatrgu. similiter Fq: EFEB :: YZ: FC
seu FZ: - natryue: Ay: .: 7: 1. seu q aequ- aa + 2yy
ay
sit AQ aequ Z. et EZ aequ v. fet X + y7 - aa +6- 297 aequ. Z
seu Z caqo ax - aa- 77 et v aequ. -aa- 2yy
dZe aequ. ad x - 2ydy dv aego -dy aa - 2dy
jam dZ: dy: seu dZ: dy ::  - 27 2y: - dy aa - 2dy
seu dz: dy aequ a = 27 7. = 2, aa - 2 y
aa
a
ry
a
a ex
Ax yy ax
seu dz: dy  : 2  - 277; - a - 2 Z :: - 4a - 2y7 : = aa - 2 yy
sed nihil hinc discere possumus novi. Nam iam tum constat: Ya
aa
aa
dz: Zdv :: FQ: eq:: BF: BC :: 77: y:: y: a
dz: do :: y: a. Jam y avaequ + aa - ryy. seu
seu 247 + aa +VBequ. 0 seu aat tart; vr aqui vr 277
seu eryy + 27V +   aequ : vr- = aa seu y aequ + Sov - 8aa = =v
Ergo de: do :: = Suv - daa - - v:a.
ergo surra
voentione deser
Habetur ergo curva E per quadraturas, data curva C per quadraturas.
eroevenda
seu inventro curvae Evolutione Generamtis aeque procedit in
his quae per letragonismum generantur, quam in his quae determiinantur
 cunuam