# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0422 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0422?run=74 # Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65) # Folio 202, page id 79876922X:0422 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=422 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000422.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 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. # 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. 202 DESTDERTA PETLOMAZHAE opplicare novie, uc ex his (non FalS, sed pro- portione certa per effectum Veritaci responden- cibus diverlis, Veritas vel nolens volens pro- deac: hinc aeque Veri Regula, ac F atsi, dici vulso Tolet. FCtque duplex, (2) Simplicis posicionis, e (2) duplicis politionis. Illamaturalis est, e nuda regula de Fri ab. Tolvitur. Sed eotantum Cialu adhiberi potelt, quando rationes data omnes geometrica sunt, nulla incermista arichimetica. F. G. Si centum in tres parces ita diridenda dentur, ut secunda pars prioris dupla, certia prioris tripla, tic: sup Dono primam partem esse 30. Frso secunda 60. tertia 50. erit. Summa omnium 180. Ratiocinatio geometrica: 180 30:: 100. Facit pro (1) 16 2. PrO (2) 337 DrOC3) 50, =100. Duplicis Polcionis Regula in ommi rationum Genere esthac: Ffectus veri dari binx disteren- cix abinis Falsis ex hypocnesiproduetis (exprio- se e Posteriore) illa nhypocheln volteriorem. in priorem haec, ducantur: FC, Si difterentix sune homoltatica, tunc suberahantur; sin hererocta- tica, addantur (1) Produeta differentiaru et po- Sitionum; e habebis Diridendum: (2) iplae dit. Ferentia; habebis Dirilorem. Ouotus est qua- lita vera Ouantitas. F. Cr. Quaerenda Ouan- cicas quae, si per 3. mulciplicetur, ad ditis 4. 1a. CtaL 31a L PO1 POr sini rUP Ap aelt siB EIIP Cat Par Rac