# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0352 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0352?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 330, page id 175905688X:0352 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=352 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000352.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.88 # 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. 5.30 E R A N CFSOY Q SCHOOYF N pendicularis (FR. ∞ + Pg ad dextram collocanda, (i p ae r diverla signa habeane, auc ad linistram, li cadem. Vel contra, ( habeatur. p. dqer iisdem lignis adhciantur; auc eriam si habeacur Lp, eqr direrlis lignis delignentur, oporcettace. S rCGR ∞ = 2, aut ∞ Er, Lg nulla Lic, camque, ut an- aisferen- te, ad dextram linistramre collocare, (Ir sC major 2 quam pg; vel contra, sirminor siIc quam pq. Duo Per- acto, l ex R circulus describatur, transiens per pun- ctum D, secabic is vel canget Parabolam in tor punctis Peaeter D, quoc aequatio diverlas radices admittee; e quibus Ead axem demittantur perpendiculares, obti- nebuntur omnes aequationis radices, tam talla, quam vera. Duarum quidem vetae; uEMIL, 2d dextram Ca- denc, d tala, ut NVO, ad sinistram, (habcatur - p in aequatione. Sed contra, lihrabeatur ibi L p, Verae ca- dene ad sinistram, Sc Fal(X ad dextram. Cujus quidem demonstrationem, cum eodem modo fieri pol. sic, quo illa Ruchoris pasina 89, brericatis Cudio hic omitrimus. Uibi demum adrertendum, regulam hanc habere etiam locum in Aquarionibus Cubicis, quarum 2dus terminus est lublatus, sI cantum in iis pintelligamus esse ∞0, et veras radices ex eadem parte Parabola esse lumendas, qua erecta est perpendicularis OK, de Fallas ex alcera, cum habetur L r in aequatione; auE COn era, si in ea habetur- r. Caecerum cum ee alias regulas huc afterre possem, quibus la exdem aequationes licut de luperiores Jundrato- quadiatae con- Ecrui queunt: tamen, ne in iis hic recensendis nimis longus sun (quandoquidem intnitas invenire licet), Suffecerie jam allatas, eanquam taciliores expoluisse, caeterasque etiam aliis quarendas reliquisse. Falsa autem F L aqualis est duabus hisce Q ex X simul sumpris; quemadmodum ex calculo facile est videre. Veritarem proprietatis Parabola, quam hic obiter adnotac AU AOr nisicat Eam, qu est interr 2 p9.