# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0371 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0371?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 349, page id 175905688X:0371 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=371 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000371.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.90 # 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. AE QU A YZO NUM RESOLUTIOHE. 349 OEI dupla. Dupla aurem etiam est HIL iplius OHI, siquidem a- quilarerum est eriangulum MI L N: quare d FII RCCNONHM, HINTip(ILK aequales erunc. Ouod erat octendendum. Fx his perspicua sunt ea, quae ab AIberto Girardo afferuntur in libello supra citato, ubi docet quo pacto radix aequationis 2(3) ∞ T3 (D. F 22, in qua cubus trientis numeri radicum major est quadrato semistis numeri absoluci, sic exprimenda. TTE AULCI PaLCAENINI ese V 13, 0b T3 (D) in aequatione, sciendum est ductis rectis FIMI, MD criangulum TTMTP esse aequilaterum, ac proin- de quadratum MIR eri- plum esse quadratiFIR. Ouocirca cum cadem Sic ratio dupla MI R, hoc es, ipSIUS MIN ad duplam IIR, hoc eA, TTP, quam (IIpIX MR ad Smplam IIR: CriE quoque quadratum MN quadrati IIP criplum. Unde E Ratuamus ra- dium circuli aequalem radici quadratae ex tri- ente numeri radicum 23, hoc eA, ∞V 43, liquet M N tunc Fore V 13. Sicut proponebatur. Tuber aurem propolitum ipsius ulcerius inquirere, atque rem u seme uoa qualtionem proponimis. Circulo existente FCTK, cujus diameter FK, in eoqe inscri- Dea FC, trifariam secetur arcus CFK, a diamerro es inscripta interceptus, in punctis Les L, es recta connectatur F.L; data X X 3 aHteM omne paucis patetactes