# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0440 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0440?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 418, page id 175905688X:0440 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=440 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000440.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.86 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. A18 LOH ANNES FIUDDENEE EPTST. I posse. Denique, (inullae amplius in Propolica a quatione lupertine quanticates, in quibus dicta licera reperitur, divido ultimo per illam Ficcam aequationem omnes reliquas quancitares, in quibus licera illa non reperitur; quae que limul per dictam Fictam divisi- biles sunc fucurae, si quidem Propolita ae quatio per eam dirisibilis exictat. CTF bxX L abx Laab - bcc ∞0 dir. per + b, Fit xx. L ; aX F ad v0, 266 bba iremes a p X a + = abb 0 0dir. pCF + 2cbb 2bb (6 atIt_X L = aX F a4 00. 66 Si ieitur hoc quoriens cum pracedenti non convenislet, etiam Propolita aquatio per X X F = a x + a a ∞ 0 divilibilis non fuisler. CC Ouoniam autem conveniune, de nullx amplius quantitates in Propolica xequatione superlune, in quibus licera b reperitur, in quirocandem, num omnes reliquae etiam per X X +; a X + Aa ∞0 66 diridi possint. Fiinc cum reliqua quantitates, in quibusb nonre Pericur, (inc x3 X + = a a X - = a3, ipIX GUC PEF X N F = a X + A A 66 = aC6 6 diridi queane, dc OriaTUEX = = a; idcirco _ PropOSirA aquatio PerXX L= a x + a a ∞ 0 diridi pocerit. Oux alias, ut manile. c6 Rum est, per illam non dirisibilis Fuisset, si ultima haec divisio tieri non potuisset; Ouoriens vero est x -: a. V. RE C VF a +c F b∞0. Dua modum docet reducendi omnem sEquationem, qud produci potest ex multiplicatione duarum aliarum, quarum una liceram aliquam comprehendit; qua in altera non continetur; quaeque licera in aliquo termine tot dimensiones habet, quoi in nullo alio. Suppono omnes Propolita aequationis quancitates, in quibus eadem litera reperitur, quae que limul sic divi dipol.