# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0474 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0474?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 452, page id 175905688X:0474 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=474 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000474.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.78 # 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. 452 TOFT A N N ES FTADDENEE EBTSF. I. 1. PrO A, vel B, vel C assumere licee, vel unam a quationum juxta politarum, quam libuerie, quaerendo ejustantum opc ratorem iplius y, vel Z: vel duas can- dem quantitatem incognitam habentes, quaerendo. que, ut superius ostensum est, carum communem di- vilorem, qui, auc unius, aut plurium futurus cst dimen- Sionum. Si unius, habebitur quaelicus valor iplius rvelZ; siplurium, cundem ex hoc communi diritore investi- TATCOPOTECL. 2. Si primo per capitales sive majusculas A, B, C, D explorare relimus, reliqua c, F, 8 non limenecestarix; SCd nOM ViCC VeESa. Exempli gratia, proponatur ∞6 - 2 ∞5 - 3 ∞ - 7 X 3 -- 3 X X - - 73 X - 5 ∞ O. Cum nullusterminus hic deticiae, examinanda est aequatio per A, B, C, C, 6, 8. _ quidem per omnes, (i a minusculis 5, F, c incipiamus, Eaucem a capicalibus, erune minusculae insuper ha- bendae. Incipiamus isitur a capicalibus, ac primum ab A, pro qua itaque lumere licet aequationem -2 3 C I PP9~O. et Z 2 vde ret actattese. Si pri B- 3,Y∞7, s∞ = 3, t∞ - 23, et ∞ - 5) 2 22=de um alteram, obcinebitur 7=L quarum communis dirilor est. 5 ∞ O. Duontat auc 10 spaGuoniam P∞2, us, obtinebi 100C, 73F re N i