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# Title: Methodus Figurarum Lineis Rectis & Curvis Comprehensarum Quadraturas Determinandi (shelfmarks Leibn. Marg. 135, Stück 1; Leibn. Marg. 135)
# Folio 24, page id 1025220307:0032
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1025220307&page=32
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OB.
Curvam inverire cujus Area per datam quamlibet aequatio
nem desirnetur.
Elionetur Llea hac aequatione Vr3y = VNC
Cconcipiendo Cd elle CUraI GualICaIM.)
Tum ex oltensis paree vr’y = esse aequationem
ad Curram aliam VOHI in qua PM = MC (quae
est ordinata Curra quaelicxe) investigetur ergo ralor
linCx PMI, XL InVeNICtT P M = N 4 = Zlcu 423
=r, Gux est xequatio ad Curram quaelicami V CS
cujus area = vr y. Norandum quod hic (uE priis)
y denorat abscictas VMI, Z ordinatas MC, e X Or-
dinatas C H.
Le
Curvas infinitas invenire quarum Areae per unam datam
aequationem desirnentur.
lOlurio hujus problematis a duobus praecedentibus
 pendet; inveniatur una Curra cujus Area per
datam aequationem exprimatur (per problema 20)
e sic infinitae inveniri pollune per Prob. 19.
P R OB. ZXII.