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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 7
# Folio 24v, page id 00068102:0004
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egregie memirabile
sit BC, t, fiet
a
+: y:: dx: dy. Ergo =
Hinc patet si detur B
du
ex A, AB, dam
seu t ex x. reduci aequationem ad quadraturus
inventu Cogartthmdrum nam (dx = log. y. Ergo
et si datur AT ex AB res reducitur ad quadraturas.
Hinc porro  quia dy==. hinc pato
es de
si in aequatione inter x. y. d7: dx, detu
 et
V et dy servent inter se legem homogeneorum (vel
X et Lx) tolli simul posse du, itemus  per
e
S
adeoque haberi relationem inter (+ et X. adeoque
rem reduci ad quadraturas.
sit CT= C, fiet c: y.. Sdx +dus
2: dy
Ergo si detur aequatio inter y: C et X.. vel
detur aequatio in
V est C, servent inter se lenem
nec aliud praesserea sat adsit quam X.
homogenecrum, res reducitur ad quadraturas.
si ratio EC ad AC detur per A
virendum an aliquid praestari possit
EC: AC:: ax +dy: dextu
dYx+y = xdxtydus. Sxyr
datur ratio EC ad AC seu CL ad GLperX
datur et ratio CG ad GL per X= seu ratio EA ad AL
sed nondum hvc aliquid
Et seu si AE
deturrelatio inter AG A
vel CG: Gt) detur ex AL res reducitur
ad quadraturus ex supposita ciculi quadratum
s