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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 249, page id 175906937X:0273
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=273
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.83
# 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.

edl
q
ert.
C Ct
ctam
ler
ilde
ie
1
L I B. II. C A D. II.
249
Aouccunque, veluri C, erit ex hypocheli C B cum priore AB
comprehendens angulum ABC dato vel assimpto a qualem, po-
ceritque proinde eadem C B rocarir. Ac vero est ex constructio-
ne, ee remanet semper AB, hoc elt, x ∞ c. Ouod est propolitum.
C a P u F II.
Orro secundo casu, supra expresso, cum nempe iI
L aequatione, ad simplicistimos terminos reducta,
quancicatum incognitarum altera ad quadratum alcen-
dic, altera veronon icem, sed neque inse, neque in al-
ceram quantiratem incoenitam ductareperitur: poterit
aequario ad aliquam sequentium Formularum ieduei
l. yYD aX
(ay ∞ X X
II. 97∞ ax = bbl
TII. gy∞. ax -bB Erel COnVCTLM ay = bb D X X
IV. 9y∞ - ax f bb
ay - bb D XX
lbb = ay∞XX.
Supponendo y _ x esse quantitates incognitas, vel ab inicio
Conceptas, rel poltmodum allumptas, ur mox lacius explicabitur.
P E E O R F M a VII.
Propositio 7.
St aguatio lcy) , vel converlim ay D x x: erit
LOCuS Quaelicus l’acabola.
Sic iplius xinicium immutabile punctum A, atque eadem illax
per rectam AB indetinite se extendere incelligatur, de lic dacus
vel assumpeus angulus x-
qualis angulo ABC; AF-
Cumatur primo eadem AB
ut Parabola diameter, ad
quam ordinatim applica-
eae laciant cum ipsa angu-
los aequales dato vel aF-
Tumpro ansulo AB C, cu:
usque latus rectum AF