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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 10
# Folio 4r, page id 00068105:0007
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figurae curva proportionale intenire
AB sit X. Bdy AF sit 7. AG sit 8.
1C2C aequ S d9 aequ c.
. decer debet esse
feit e mn ay ax agosc +pae
sit dzue aequ. vdx et de aequ coax. fier
Ergos per rerit a
not coco dx aequ. c. ferimy dxaequt simoccoodu
e
sit quaqu. hhh. - l, et co aequ. 2hl
a
ot
fiet Sor+ coco aequ. hB + II et ex aequ 2 vel 6 fer
(10
masy ax aequ.  stih dx +Hax + an si
tunae
faciamus maqua, et naequa. et p aequo fet ex aequ. l0 fiet asy dxpos
a Cy ax aequ Stnaxellax seu ayaqu hh +l et quia per
(12
V dx aequ. fiet h aego ay -l. fier: (aydx - 2ll dx aequ. 7
(14)
et (2l. Pay-Il ax aequ. G
Adiiciendo p. Assumendu est
litera l Falis, ut utrolique poodeat quantitas summabilis
yy aeqe ov xcoco. Ergo quadiatum ipsius y. dividendum in duo qua
drata quorum latera sint summabitia ad X. seu debent haberi
sit  ag A+ aqui ayit 2lC posse (vax et scodx
si datur sydx facile datur curva quaesita ut siponatua-llago
diir
1X
fiet: d aequ Z et et Eet se-2, XV equd aequ
quae ueius haberi potest sit jam X talis, ut iddita ad
quaentur X talis, ut et ipsa sit summabilis, et in f fac, ab summa
bileu cum ai.
Conchoidis punctum flexus si occuriat cys cloidi jan ibi trestadices aequales
quomo do curvae multae possint habere eandem tangentium proppietatem; tam parallelae quam non parallelae
de recipiocis cueatum, et quado Logarit hnicae descriptione, cuvisque rationalibus tgmis ad curvas reducendis
seu exhis quinque dimens. evolaba, 2. quadratum evolutae, 3. superferes evolutae una, ai circa unum axem
ne
a superficies alia circo aliam axem. 5. quadratura evolutione descriptae: Ex se invicem pendent