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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 316, page id 175906937X:0340
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=340
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

26
P L E M. C U R V A R U M
enim pro triplici juxta Regulam distinctione F C ∞y gY
atque etiam, -y: ac proinde rectansulum Cub Parametro
ac eadem FC contentum ∞ dy 8 ff, atque eriam ff - dy.
Duod quidem rectangulum cum a quale sic quadrato appli-
catae CF, hoc eA, x x: Crit, uF PetituT, d Y. ffD X N.
TTT. Si aquatio (E d y ∞ V v, vel dy. ff vV, acque v primum
assumpea sic prox 8 C, Facta AD ∞ C, Pumproque puncto D ab
A versis B, CIV Sic aNumPEa PTO N = C; at contra ab altera
parte, Cir altumpta tuerit prox - L c, erit, ducta DR ip(I A C
parallelâ, diameter in recta DI. Ec literminus ff deticiat,
TV. erit vertex in D; Sin secus in L, cum triplici rariatione, ut
supra expolitum cAt. FF patet, D B SiveD AB, hoc eAt, RF.
siveK C. E FOrCV, DK ∞Y, aEquC L K ∞ Y 8 7, atque eriam
-p: ac proinde rectangulum sub Parametro d dictaque
DR comprehensum ∞ dY; at vero id quod sub d_ L R com-
prehenditur x dy 8ff, atque etiam ff = dy. Ouod quidem
rectangulum cum xquale lic aut supponatur quadraco appli-
catae K F SireK C L, hoc elt, vr: eric, ut petitur, dy ∞vv, vel
dy. ff∞vv.
Y. Sit deinde r a(uPEa PTON B = sumptoque in lineaOC F
puncto MIa C rersiIS E, S habeatur = ; at ab altCrA PartC
lineae A C, Si habeatUE L =, ItA VE A C sIE ad CM, SICUE A
ad b: erit in recta AM diameter sectionis, ejusque vertex in
YI. puncto a, siterminus ff deficiat; sin minus, in N. FE Polita
EatiOnC A C ad AMI, ut a ad e, ac proinde rectâ AM ∞ =
erit Parameter ∞ =. F.R enim recta C MI ∞ =, ac proinde
ME ∞ y - =, aEquC N C F ∞ y. L =, id cA, M F. vel
MC F ∞ V. Ouoniam ergo ex natura Paraboles rectangu-
lum Tub dicta Parametro ex recta A M contentum ∞ quadr2
EOCXM E veIM CF, crIE, dy ∞vV.
POrTO Cum N A siC ∞ 
3 CrIE NM ∞
3e
3
da 3 atque
etiam