# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0176 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0176?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 154, page id 175905688X:0176 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=176 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000176.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.91 # 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. C 254 FR A N CZS CF a SCHOOTE N cumferentix in C, ac junsantur A. C, C B. Factum que erie, quod requirebatur. Vel ( totidem non inveniantur, nec tamen quidquam eorum. qua in quaestione desiderantur, omitatur, arcumentum est, il- lam non penitus esse determinatam. Tunc enim ad arbitrium assumi possunt linea coenitae proincoenitis, quibus non respondet aliqua Equario.) Ouo cuirishaec obria sint, placuie Ca Per u- num auc alcerum Problema Facile illustrare. I P R O BL E M A. Atis politione duabus rectis lineis concurrencibus AB, A C, punccum invenire intra iplaS D, d quo s ducantur dux recta DC, DB iplis A B, A C parallela, uc summa ipsarum DC, DB sc dacx rectae a xequalis. Ponatur factum quod quaeri- tur, hoc est, Suppolitis rectis DC, DB ipsIS AB, A C p2- rallelis, RatUanEESEDC, DB Cimul Cumpex ips datx a esse x- quales. Ilinc cum ad determi- nandum punctum D quaerenda Ec lonsirudo utriulque rectae AC, CD seu utriulque AB, BD, Ponopronna A C. vel BD guancitatem incognitam X, d pro altera C D vel AB quan- existat, porerimus ad arbierium pro quantitate incognitax, cui nulla relpondet Equatio, altumere lineam aliquam cognitam ipsa a minorem, acque corinde inrenire puneta D, quoc ipli direi- addendaerunt tantum duxe tecla DD, D C, hoc eAt, x _ V: erit aurem al acea eacteem pn eniendam nulla luperest ricatem icam y. Ouibus ita polucis, ut habeatur Aiquatio quesummax - L y aequalisa, hoc est, crity D a = x. OJuoniam impleta: argumentum est, illam non penitus esse determinatam. materia, cum cortesenessis esua eree praccunda jam omnes sint Ouocirca cum in ipsa una delic condicio, ut prortus determinata Ut jan hincpr Deinde ips BF rectang q