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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 4
# Folio 6r, page id 00068076:0011
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dx + du aequ dx. sit Ax aequ M X fiet
Ex + du aequ n. seu 2dx 4dx +2 dy adue aeg. 0
seu dx + du aego dx. seu dus aego dx - XdX
seu dus aequ d Si -x
Ax
WL: TLC
X
B
H
X
CB, X BL Si - X GWdx. CL, 1. TL. CE.
Est aute 11 +ax peu Gpo  Ergo HW aequ dus
sit Guconstans erit FL ipsis HW proportionalis
ergo quadratu tangentium axi applicatorum
uit quaesita
2
ax +dy aequ.
2
2
DL2
fiet: dus aequ dx,   seu dyaego dx  +Xt
des
Vdx + dus aequ cd. dx +du aequ co.
4 X
du ago ca co- dx seu dus aequ sco dx
Ieaque oblata formula q summanda quadretur
smma
2
quadratum fingatur differentia duorum quadratorum,
quorum latera sint summabilia Et
GCCs CC
Videatur an saltem res semper quadratura
rationalis ita tectari per curvam possit exhriberi
sit ergo curva, cujus abscissa X. ordinata v. ejus
exlensione in aectum habetur d co, sin
uax +du Itaque summanda formula oblatam
deberet esse talis, ut quadratum ejus possit.
resolvi in duo quadratu laterum summabilium
itaque sumantur duo latera summabilia generalia
sen differentia generalis rationalis cujus quadratum addatur
et alia adhinc, harum duarum quadrata in unum addantui
et comparentur quadrato formulae datae. sed quia